|
|
# Tanka Number
Number of tanka
Wishing to die in the spring under the flowers
This is one of the famous tanka poems that Saigyo Hoshi wrote. Tanka is a type of waka poem that has been popular in Japan for a long time, and most of it consists of five phrases and thirty-one sounds of 5, 7, 5, 7, and 7.
By the way, the number 57577 consists of two types, 5 and 7. Such a positive integer whose decimal notation consists of exactly two types of numbers is called a tanka number. For example, 10, 12, 57577, 25252 are tanka numbers, but 5, 11, 123, 20180701 are not tanka songs.
A positive integer N is given. Find the Nth smallest tanka number.
Input
The input consists of up to 100 datasets. Each dataset is represented in the following format.
> N
The integer N satisfies 1 ≤ N ≤ 1018.
The end of the input is represented by a single zero line.
Output
For each dataset, output the Nth smallest tanka number on one line.
Sample Input
1
2
3
390
1124
1546
314159265358979323
0
Output for the Sample Input
Ten
12
13
2020
25252
57577
7744444777744474777777774774744777747477444774744744
Example
Input
1
2
3
390
1124
1546
314159265358979323
0
Output
10
12
13
2020
25252
57577
7744444777744474777777774774744777747477444774744744
|
[
{
"input": {
"stdin": "1\n2\n3\n390\n1124\n1546\n314159265358979323\n0"
},
"output": {
"stdout": "10\n12\n13\n2020\n25252\n57577\n7744444777744474777777774774744777747477444774744744"
}
},
{
"input": {
"stdin": "1\n1\n4\n1531\n2317\n714\n225725068861419081\n0"
},
"output": {
"stdout": "10\n10\n14\n55955\n155155\n7277\n3223333233333322222322232232233222323233333233223332\n"
}
},
{
"input": {
"stdin": "1\n3\n17\n104\n216\n1546\n30412936253375597\n0"
},
"output": {
"stdout": "10\n13\n28\n177\n599\n57577\n4000044000440044440000404444404044004040000004000\n"
}
},
{
"input": {
"stdin": "1\n4\n5\n104\n216\n1546\n35211924413826153\n0"
},
"output": {
"stdout": "10\n14\n15\n177\n599\n57577\n5855885585555888855555885855585885858585555585885\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n11\n1050\n1546\n168569390037112973\n0"
},
"output": {
"stdout": "10\n12\n13\n21\n22122\n57577\n886888666668888688886686868668686868686866688868886\n"
}
},
{
"input": {
"stdin": "1\n3\n2\n11\n1050\n1546\n168569390037112973\n0"
},
"output": {
"stdout": "10\n13\n12\n21\n22122\n57577\n886888666668888688886686868668686868686866688868886\n"
}
},
{
"input": {
"stdin": "1\n4\n3\n141\n356\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n14\n13\n323\n1211\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n5\n6\n19\n216\n291\n22590470820161213\n0"
},
"output": {
"stdout": "10\n15\n16\n30\n599\n884\n999666699996966999699966966696996999699666996966\n"
}
},
{
"input": {
"stdin": "1\n7\n0\n115\n356\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n17\n"
}
},
{
"input": {
"stdin": "1\n2\n1\n11\n1050\n1546\n168569390037112973\n0"
},
"output": {
"stdout": "10\n12\n10\n21\n22122\n57577\n886888666668888688886686868668686868686866688868886\n"
}
},
{
"input": {
"stdin": "1\n4\n3\n104\n356\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n14\n13\n177\n1211\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n1\n3\n0\n3057\n2423\n268313004515723671\n0"
},
"output": {
"stdout": "10\n10\n13\n"
}
},
{
"input": {
"stdin": "1\n4\n4\n104\n216\n1546\n35211924413826153\n0"
},
"output": {
"stdout": "10\n14\n14\n177\n599\n57577\n5855885585555888855555885855585885858585555585885\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n104\n216\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n12\n13\n177\n599\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n1\n3\n30\n3057\n2423\n268313004515723671\n0"
},
"output": {
"stdout": "10\n10\n13\n42\n444404\n220202\n5445445555454544444554445454554445554445545444545554\n"
}
},
{
"input": {
"stdin": "1\n1\n2\n444\n1978\n1534\n211760204581026131\n0"
},
"output": {
"stdout": "10\n10\n12\n2828\n90990\n55999\n2242242422424422422242444244422444244422422444244222\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n104\n216\n1546\n14282246706276917\n0"
},
"output": {
"stdout": "10\n12\n15\n177\n599\n57577\n333133133131111131331113311113133133311313331331\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n0\n2780\n119\n131765678390808916\n0"
},
"output": {
"stdout": "10\n12\n13\n"
}
},
{
"input": {
"stdin": "1\n3\n17\n104\n216\n1200\n34091156012094062\n0"
},
"output": {
"stdout": "10\n13\n28\n177\n599\n33311\n5552555255255522555225522222525252552225222252252\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n11\n1050\n1546\n314159265358979323\n0"
},
"output": {
"stdout": "10\n12\n13\n21\n22122\n57577\n7744444777744474777777774774744777747477444774744744\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n390\n216\n442\n877438609014957\n0"
},
"output": {
"stdout": "10\n12\n15\n2020\n599\n2777\n31311111133131133111311331311311333131313131\n"
}
},
{
"input": {
"stdin": "1\n1\n2\n0\n4231\n3\n131765678390808916\n-3"
},
"output": {
"stdout": "10\n10\n12\n"
}
},
{
"input": {
"stdin": "1\n4\n3\n5\n216\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n14\n13\n15\n599\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n4\n1\n120\n276\n2457\n35211924413826153\n0"
},
"output": {
"stdout": "10\n14\n10\n228\n828\n222242\n5855885585555888855555885855585885858585555585885\n"
}
},
{
"input": {
"stdin": "1\n1\n2\n444\n1978\n1534\n360294546918145334\n0"
},
"output": {
"stdout": "10\n10\n12\n2828\n90990\n55999\n9992222229299999929929222299922922292222992999992229\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n390\n1124\n1546\n298901390280203360\n0"
},
"output": {
"stdout": "10\n12\n13\n2020\n25252\n57577\n6669999696696699969966696996966669699696996966669669\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n104\n216\n1546\n24308699306116919\n0"
},
"output": {
"stdout": "10\n12\n15\n177\n599\n57577\n1221222112121112111122122111212222212122122111111\n"
}
},
{
"input": {
"stdin": "1\n3\n2\n11\n564\n1546\n168569390037112973\n0"
},
"output": {
"stdout": "10\n13\n12\n21\n4666\n57577\n886888666668888688886686868668686868686866688868886\n"
}
},
{
"input": {
"stdin": "1\n4\n3\n104\n216\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n14\n13\n177\n599\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n3\n2\n11\n319\n1546\n168569390037112973\n0"
},
"output": {
"stdout": "10\n13\n12\n21\n993\n57577\n886888666668888688886686868668686868686866688868886\n"
}
},
{
"input": {
"stdin": "1\n3\n5\n150\n216\n1546\n35211924413826153\n0"
},
"output": {
"stdout": "10\n13\n15\n339\n599\n57577\n5855885585555888855555885855585885858585555585885\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n390\n216\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n12\n13\n2020\n599\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n1\n2\n444\n1978\n1546\n211760204581026131\n0"
},
"output": {
"stdout": "10\n10\n12\n2828\n90990\n57577\n2242242422424422422242444244422444244422422444244222\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n390\n142\n1546\n314159265358979323\n0"
},
"output": {
"stdout": "10\n12\n13\n2020\n330\n57577\n7744444777744474777777774774744777747477444774744744\n"
}
},
{
"input": {
"stdin": "1\n2\n2\n575\n1124\n1546\n211760204581026131\n0"
},
"output": {
"stdout": "10\n12\n12\n4994\n25252\n57577\n2242242422424422422242444244422444244422422444244222\n"
}
},
{
"input": {
"stdin": "1\n3\n5\n390\n216\n763\n1563679537664695\n0"
},
"output": {
"stdout": "10\n13\n15\n2020\n599\n7979\n177711171711171111177177111717171111177777711\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n390\n216\n442\n31125328462643205\n0"
},
"output": {
"stdout": "10\n12\n15\n2020\n599\n2777\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n3\n9\n104\n216\n1546\n30412936253375597\n0"
},
"output": {
"stdout": "10\n13\n19\n177\n599\n57577\n4000044000440044440000404444404044004040000004000\n"
}
},
{
"input": {
"stdin": "1\n3\n11\n104\n216\n291\n34091156012094062\n0"
},
"output": {
"stdout": "10\n13\n21\n177\n599\n884\n5552555255255522555225522222525252552225222252252\n"
}
},
{
"input": {
"stdin": "1\n4\n5\n104\n122\n1546\n14282246706276917\n0"
},
"output": {
"stdout": "10\n14\n15\n177\n232\n57577\n333133133131111131331113311113133133311313331331\n"
}
},
{
"input": {
"stdin": "1\n2\n1\n390\n1124\n1546\n211760204581026131\n0"
},
"output": {
"stdout": "10\n12\n10\n2020\n25252\n57577\n2242242422424422422242444244422444244422422444244222\n"
}
},
{
"input": {
"stdin": "1\n3\n6\n19\n216\n291\n45420024717148297\n0"
},
"output": {
"stdout": "10\n13\n16\n30\n599\n884\n9999799797977797997797997999979779779777779797779\n"
}
},
{
"input": {
"stdin": "1\n1\n1\n0\n2780\n3\n131765678390808916\n-3"
},
"output": {
"stdout": "10\n10\n10\n"
}
},
{
"input": {
"stdin": "1\n2\n3\n11\n1050\n1546\n132147252238502491\n0"
},
"output": {
"stdout": "10\n12\n13\n21\n22122\n57577\n505055550550055500555005055505550000505505050500005\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n390\n216\n247\n31125328462643205\n0"
},
"output": {
"stdout": "10\n12\n15\n2020\n599\n717\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n2\n0\n152\n356\n1546\n31125328462643205\n-1"
},
"output": {
"stdout": "10\n12\n"
}
},
{
"input": {
"stdin": "1\n3\n6\n104\n216\n291\n34091156012094062\n0"
},
"output": {
"stdout": "10\n13\n16\n177\n599\n884\n5552555255255522555225522222525252552225222252252\n"
}
},
{
"input": {
"stdin": "1\n2\n5\n390\n216\n284\n31125328462643205\n0"
},
"output": {
"stdout": "10\n12\n15\n2020\n599\n868\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n3\n3\n104\n216\n1546\n31125328462643205\n0"
},
"output": {
"stdout": "10\n13\n13\n177\n599\n57577\n4422424222424224224222242422242224222444442422222\n"
}
},
{
"input": {
"stdin": "1\n1\n2\n390\n1124\n1546\n211760204581026131\n0"
},
"output": {
"stdout": "10\n10\n12\n2020\n25252\n57577\n2242242422424422422242444244422444244422422444244222\n"
}
}
] |
{
"tags": [],
"title": "Tanka Number"
}
|
{
"cpp": "#include<bits/stdc++.h>\nusing namespace std;\nusing Int = long long;\nconst Int MAX = 2e18;\n\nvoid chmin(Int &a,Int b){if(a>b) a=b;}\n\nInt dfs(Int t,Int u,Int k){\n Int res=1LL<<(t-k);\n if(u!=3) res--;\n chmin(res,MAX);\n return res;\n}\n\nvoid restore(Int n){\n Int k=1;\n for(;;k++){\n Int tmp=0;\n for(Int a=0;a<10;a++){\n for(Int b=a+1;b<10;b++){\n\tif(a!=0) tmp+=dfs(k,1,1); //use a\n\ttmp+=dfs(k,2,1); //use b > 0\n\tchmin(tmp,MAX);\n }\n }\n if(tmp>n) break;\n n-=tmp;\n }\n Int c,d;\n string ans;\n for(c=1;c<10;c++){\n Int tmp=0;\n for(Int a=0;a<c;a++){\n tmp+=dfs(k,2,1);\n chmin(tmp,MAX);\n }\n for(Int b=c+1;b<10;b++){\n tmp+=dfs(k,1,1);\n chmin(tmp,MAX);\n }\n if(tmp>n){\n ans+=char('0'+c);\n break;\n }\n n-=tmp;\n }\n Int l=k-1;\n while(l--){\n Int flg=0;\n for(d=0;d<c;d++){\n Int tmp=dfs(k,3,k-l);\n if(tmp>n){\n\tans+=char('0'+d);\n\tflg=1;\n\tbreak;\n }\n n-=tmp;\n }\n if(flg) break;\n Int tmp=0;\n for(Int e=0;e<c;e++){\n tmp+=dfs(k,2,k-l);\n chmin(tmp,MAX);\n }\n for(Int e=c+1;e<10;e++){\n tmp+=dfs(k,1,k-l);\n chmin(tmp,MAX);\n }\n if(tmp>n){\n ans+=char('0'+c);\n continue;\n }\n n-=tmp;\n for(d=c+1;d<10;d++){\n Int tmp=dfs(k,3,k-l);\n if(tmp>n){\n\tans+=char('0'+d);\n\tflg=1;\n\tbreak;\n }\n n-=tmp;\n }\n if(flg) break;\n }\n while(l--){\n if(c<d){\n Int tmp=dfs(k,3,k-l);\n if(tmp>n){\n\tans+=char('0'+c);\n }else{\t\n\tans+=char('0'+d);\n\tn-=tmp;\n }\n }else{\n Int tmp=dfs(k,3,k-l);\n if(tmp>n){\n\tans+=char('0'+d);\n }else{\t\n\tans+=char('0'+c);\n\tn-=tmp;\n }\n }\n }\n cout<<ans<<endl;\n}\nsigned main(){\n Int n;\n while(cin>>n,n){\n restore(n-1);\n }\n return 0;\n}\n\n",
"java": null,
"python": "N = int(input())\nwhile N:\n l = 2\n N -= 1\n while N >= ((1<<(l - 1)) - 1)*81:\n N -= ((1<<(l - 1)) - 1)*81\n l += 1\n s = N // (((1<<(l - 1)) - 1)*9) + 1\n N %= ((1<<(l - 1)) - 1)*9\n t = -1\n ans = str(s)\n #print(\"N = \", N)\n while t < 0:\n for i in range(s):\n if(N >= (1<<(l - 2))):\n N -= (1<<(l - 2))\n else:\n t = i\n break\n\n if t >= 0:\n continue\n\n if N >= ((1<<(l - 2)) - 1)*9:\n N -= ((1<<(l - 2)) - 1)*9\n for i in range(s+1, 10):\n if N >= (1<<(l-2)):\n N -= (1<<(l-2))\n else:\n t = i\n break\n else:\n l -= 1\n ans += str(s)\n #print(\"N = \", N)\n ans += str(t)\n if s > t:\n b = bin(N)[2:]\n ans_ = str(t)*(l - 1 - len(b))\n C = [str(t), str(s)]\n else:\n b = bin(N)[2:]\n ans_ = str(s)*(l - 1 - len(b))\n C = [str(s), str(t)]\n\n for i in range(len(b)):\n ans_ += C[int(b[i])]\n print(ans+ans_[1:])\n N = int(input())\n\n"
}
|
|
|
# Combine Two Elements
Problem
Given $ N $ a pair of non-negative integers $ (a_i, b_i) $ and non-negative integers $ A $, $ B $.
I want to do as many of the following operations as possible.
* $ | a_i --b_i | \ leq A $ or $ B \ leq | a_i --b_i | \ leq Take out and delete the element $ i $ that satisfies 2A $
* $ | (a_i + a_j)-(b_i + b_j) | \ leq A $ or $ B \ leq | (a_i + a_j)-(b_i + b_j) | Extract and delete the pair of j $ ($ i \ neq j $)
Find the maximum number of operations.
Constraints
The input satisfies the following conditions.
* $ 1 \ leq N \ leq 800 $
* $ 0 \ leq A, B \ leq 10 ^ 5 $
* $ 0 \ leq a_i, b_i \ leq 10 ^ 5 $
* $ A \ leq B $ and $ B \ leq 2A $
Input
The input is given in the following format.
$ N $ $ A $ $ B $
$ a_1 $ $ b_1 $
$ a_2 $ $ b_2 $
...
$ a_N $ $ b_N $
All inputs are given as integers.
$ N $, $ A $, $ B $ are given on the first line, separated by blanks.
The $ i $ th pair $ a_i $ and $ b_i $ ($ 1 \ leq i \ leq N $) are given in the second and subsequent $ N $ lines, separated by blanks.
Output
Output the maximum number of operations on one line.
Examples
Input
5 3 5
7 2
13 1
1 1
2 9
2 4
Output
4
Input
10 7 12
34 70
36 0
12 50
76 46
33 45
61 21
0 1
24 3
98 41
23 84
Output
5
|
[
{
"input": {
"stdin": "10 7 12\n34 70\n36 0\n12 50\n76 46\n33 45\n61 21\n0 1\n24 3\n98 41\n23 84"
},
"output": {
"stdout": "5"
}
},
{
"input": {
"stdin": "5 3 5\n7 2\n13 1\n1 1\n2 9\n2 4"
},
"output": {
"stdout": "4"
}
},
{
"input": {
"stdin": "2 4 1\n-1 1\n7 0\n0 12\n1 13\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 4 0\n0 0\n16 0\n-1 12\n0 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 0\n16 0\n-1 12\n1 13\n2 5"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 12\n34 70\n36 0\n12 29\n19 46\n33 20\n61 21\n0 0\n42 5\n98 73\n23 84"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 3 5\n7 3\n13 1\n1 2\n2 7\n2 4"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 4 1\n-1 1\n7 0\n0 9\n1 13\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 1 3\n14 70\n58 -1\n18 43\n26 40\n33 20\n58 10\n0 -1\n80 5\n29 35\n23 10"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 1 12\n15 70\n58 -1\n18 43\n26 40\n33 20\n58 10\n0 -1\n80 5\n98 35\n23 10"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1 3 7\n7 3\n13 1\n1 4\n1 7\n2 4"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 12\n26 40\n3 1\n58 31\n-1 -1\n50 5\n92 58\n23 10"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 6 7\n0 0\n13 2\n1 6\n0 8\n2 3"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 1\n7 1\n0 9\n1 5\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 26\n26 40\n3 1\n58 31\n0 -1\n50 5\n47 58\n23 10"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10 1 12\n34 70\n36 0\n12 29\n26 46\n33 20\n58 10\n0 0\n42 5\n98 73\n23 84"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 4 1\n-1 1\n7 0\n0 9\n0 13\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 3 5\n7 3\n13 1\n1 1\n2 9\n2 4"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n58 -1\n6 26\n26 40\n3 1\n58 20\n0 -1\n80 5\n44 35\n23 10"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 12\n26 40\n3 1\n58 31\n-1 -1\n22 5\n92 58\n23 10"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 12\n15 70\n36 -1\n18 43\n26 46\n33 20\n58 10\n0 0\n80 5\n98 32\n23 84"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 3 7\n0 0\n13 2\n1 4\n0 7\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 12\n15 70\n58 -1\n18 43\n26 84\n33 20\n58 10\n0 -1\n80 5\n98 35\n23 30"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 1 12\n22 70\n36 0\n12 43\n26 46\n33 20\n58 15\n0 0\n42 5\n98 44\n23 84"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 7 12\n34 70\n36 0\n12 50\n76 46\n33 45\n61 21\n0 0\n24 3\n98 41\n23 84"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 12\n26 40\n3 1\n58 31\n0 -1\n50 5\n92 58\n23 10"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 0\n16 0\n-1 12\n0 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 6 0\n1 0\n13 2\n1 8\n0 14\n2 3"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n58 -1\n6 26\n26 40\n3 1\n58 10\n0 -1\n80 5\n44 35\n23 10"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 1\n7 0\n0 9\n1 5\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 6 0\n0 0\n16 2\n1 8\n0 14\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 12\n22 70\n36 0\n12 29\n26 46\n33 20\n58 15\n0 0\n42 5\n98 73\n23 84"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 26\n26 40\n3 1\n58 31\n0 -1\n50 5\n44 35\n23 10"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10 1 12\n34 70\n36 0\n12 29\n26 46\n33 20\n61 21\n0 0\n42 5\n98 73\n23 84"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 1\n7 2\n0 9\n1 5\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 1 12\n34 70\n36 0\n12 50\n19 46\n33 45\n61 21\n0 0\n24 3\n98 73\n23 84"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 6 0\n0 0\n16 2\n2 8\n0 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 3\n14 70\n58 -1\n18 43\n26 40\n3 20\n58 10\n0 -1\n80 5\n29 35\n23 10"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 4 0\n-1 1\n7 0\n0 9\n1 13\n2 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "6 1 3\n14 70\n108 -1\n9 26\n26 40\n3 1\n58 20\n0 -1\n50 5\n44 35\n23 10"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 4 0\n0 0\n16 0\n0 12\n1 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1 3\n15 70\n58 -1\n18 43\n26 40\n33 20\n58 10\n0 -1\n80 5\n29 35\n23 10"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 3 7\n7 3\n13 1\n1 4\n1 7\n2 4"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 6 0\n0 0\n16 2\n4 12\n1 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 4 0\n0 0\n16 0\n0 12\n0 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 7 0\n0 0\n16 0\n4 12\n1 13\n2 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 7 12\n34 70\n36 0\n12 50\n19 46\n33 45\n61 21\n0 0\n24 3\n98 73\n23 84"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "10 1 12\n15 70\n36 -1\n18 43\n26 46\n33 20\n58 10\n0 -1\n80 5\n98 32\n23 84"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 3 7\n7 3\n13 1\n1 4\n1 7\n2 3"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10 1 12\n34 70\n36 0\n12 29\n19 46\n33 45\n61 21\n0 0\n42 5\n98 73\n23 84"
},
"output": {
"stdout": "2\n"
}
}
] |
{
"tags": [],
"title": "Combine Two Elements"
}
|
{
"cpp": "#include <iostream>\n#include <fstream>\n#include <cstdio>\n#include <cmath>\n#include <vector>\n#include <cstring>\n#include <string>\n#include <set>\n#include <map>\n#include <stack>\n#include <queue>\n#include <deque>\n#include <algorithm>\n#include <array>\n#include <bitset>\n#include <assert.h>\nusing namespace std;\n\n#define REP(i,n) for(int i=0; i<n; ++i)\n#define FOR(i,a,b) for(int i=a; i<=b; ++i)\n#define FORR(i,a,b) for (int i=a; i>=b; --i)\n#define ALL(c) (c).begin(), (c).end()\n\ntypedef long long ll;\ntypedef vector<int> VI;\ntypedef vector<ll> VL;\ntypedef vector<VI> VVI;\ntypedef vector<VL> VVL;\ntypedef pair<int,int> P;\ntypedef pair<ll,ll> PL;\n\nint in() { int x; scanf(\"%d\", &x); return x; }\nll lin() { ll x; scanf(\"%lld\", &x); return x; }\n\nstruct bipartite_matching{\n int n, x, y;\n VVI e;\n VI match;\n vector<bool> used;\n\n void init(int a, int b){\n x = a;\n y = b;\n n = x + y;\n e.resize(n);\n match.resize(n);\n used.resize(n);\n }\n\n void add_edge(int u, int v){\n e[u].push_back(v + x);\n e[v + x].push_back(u);\n }\n\n bool dfs(int v){\n used[v] = true;\n for (int u : e[v]){\n int w = match[u];\n if (w < 0 || (!used[w] && dfs(w))){\n match[v] = u;\n match[u] = v;\n return true;\n }\n }\n return false;\n }\n\n int calc_matching(){\n int res = 0;\n fill(ALL(match), -1);\n REP(v,n){\n if (match[v] < 0){\n used.assign(n, 0);\n if (dfs(v)) res++;\n }\n }\n return res;\n }\n};\n\nint main() {\n int n, a, b;\n cin >> n >> a >> b;\n VI d;\n int ans = 0;\n REP(i,n){\n int x = in(), y = in();\n int p = x - y;\n if (abs(p) <= a || (abs(p) >= b && abs(p) <= 2 * a)) ans++;\n else d.push_back(p);\n }\n\n int m = d.size();\n bipartite_matching match;\n match.init(m, m);\n REP(i,m) REP(j,m) {\n if (d[i] < 0) continue;\n if (d[j] > 0) continue;\n int p = d[i] + d[j];\n if (abs(p) <= a || (abs(p) >= b && abs(p) <= 2 * a)){\n match.add_edge(i, j);\n }\n }\n\n // REP(i,m) cout << d[i] << endl;\n\n ans += match.calc_matching();\n cout << ans << endl;\n\n // REP(i,m){\n // cout << match.match[i] - m << endl;\n // }\n\n return 0;\n}\n",
"java": "import java.io.IOException;\nimport java.io.InputStream;\nimport java.util.ArrayDeque;\nimport java.util.Arrays;\nimport java.util.NoSuchElementException;\n\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tnew Main().run();\n\t}\n\n\t@SuppressWarnings(\"unchecked\")\n\tint solve(int N, int[][] cap, int s, int t) {\n\t\tint tot = 0;\n\t\tint[][] flow = new int[N][N];\n\t\twhile (true) {\n\t\t\tint[] pre = new int[N];\n\t\t\tArrays.fill(pre, -1);\n\t\t\tArrayDeque<Integer> que = new ArrayDeque();\n\t\t\tque.add(s);\n\t\t\twhile (!que.isEmpty()) {\n\t\t\t\tint cur = que.pollFirst();\n\t\t\t\tfor (int dst = 0; dst < N; ++dst) {\n\t\t\t\t\tif (res(cur, dst, flow, cap) <= 0) {\n\t\t\t\t\t\tcontinue;\n\t\t\t\t\t}\n\t\t\t\t\tif (dst == s || pre[dst] != -1)\n\t\t\t\t\t\tcontinue;\n\t\t\t\t\tpre[dst] = cur;\n\t\t\t\t\tque.addLast(dst);\n\t\t\t\t}\n\t\t\t}\n\t\t\tif (pre[t] == -1) {\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\tint inc = Integer.MAX_VALUE / 3;\n\t\t\tfor (int i = t; pre[i] != -1; i = pre[i]) {\n\t\t\t\tinc = Math.min(inc, res(pre[i], i, flow, cap));\n\t\t\t}\n\t\t\tfor (int i = t; pre[i] != -1; i = pre[i]) {\n\t\t\t\tflow[pre[i]][i] += inc;\n\t\t\t\tflow[i][pre[i]] -= inc;\n\t\t\t}\n\t\t\ttot += inc;\n\t\t}\n\t\treturn tot;\n\t}\n\n\tvoid run() {\n\t\tScanner sc = new Scanner();\n\t\tint N = sc.nextInt();\n\t\tint A = sc.nextInt();\n\t\tint B = sc.nextInt();\n\t\tint[] a = new int[N];\n\t\tint[] b = new int[N];\n\t\tint[] c = new int[N];\n\t\tint ans = 0;\n\t\tboolean[] used = new boolean[N];\n\t\tfor (int i = 0; i < N; ++i) {\n\t\t\ta[i] = sc.nextInt();\n\t\t\tb[i] = sc.nextInt();\n\t\t\tc[i] = a[i] - b[i];\n\t\t\tif (Math.abs(c[i]) <= A || (B <= Math.abs(c[i]) && Math.abs(c[i]) <= 2 * A)) {\n\t\t\t\t++ans;\n\t\t\t\tused[i] = true;\n\t\t\t}\n\t\t}\n\t\tint[][] cap = new int[N + 2][N + 2];\n\t\tfor (int i = 0; i < N; ++i) {\n\t\t\tfor (int j = i + 1; j < N; ++j) {\n\t\t\t\tif (used[i] || used[j])\n\t\t\t\t\tcontinue;\n\t\t\t\tif (Math.abs(c[i] + c[j]) <= A || (B <= Math.abs(c[i] + c[j]) && Math.abs(c[i] + c[j]) <= 2 * A)) {\n\t\t\t\t\tcap[i][j] = 1;\n\t\t\t\t\tcap[j][i] = 1;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tfor (int i = 0; i < N; ++i) {\n\t\t\tif (used[i])\n\t\t\t\tcontinue;\n\t\t\tif (c[i] > 0) {\n\t\t\t\tcap[N][i] = 1;\n\t\t\t} else {\n\t\t\t\tcap[i][N + 1] = 1;\n\t\t\t}\n\t\t}\n\t\tans += solve(N + 2, cap, N, N + 1);\n\t\tSystem.out.println(ans);\n\t}\n\n\t//src->dstにあとどれだけ流せるか。\n\tint res(int src, int dst, int[][] flow, int[][] cap) {\n\t\treturn cap[src][dst] - flow[src][dst];\n\t}\n\n\tclass Scanner {\n\t\tprivate final InputStream in = System.in;\n\t\tprivate final byte[] buffer = new byte[1024];\n\t\tprivate int ptr = 0;\n\t\tprivate int buflen = 0;\n\n\t\tprivate boolean hasNextByte() {\n\t\t\tif (ptr < buflen) {\n\t\t\t\treturn true;\n\t\t\t} else {\n\t\t\t\tptr = 0;\n\t\t\t\ttry {\n\t\t\t\t\tbuflen = in.read(buffer);\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t\tif (buflen <= 0) {\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn true;\n\t\t}\n\n\t\tprivate int readByte() {\n\t\t\tif (hasNextByte())\n\t\t\t\treturn buffer[ptr++];\n\t\t\telse\n\t\t\t\treturn -1;\n\t\t}\n\n\t\tprivate boolean isPrintableChar(int c) {\n\t\t\treturn 33 <= c && c <= 126;\n\t\t}\n\n\t\tpublic boolean hasNext() {\n\t\t\twhile (hasNextByte() && !isPrintableChar(buffer[ptr]))\n\t\t\t\tptr++;\n\t\t\treturn hasNextByte();\n\t\t}\n\n\t\tpublic String next() {\n\t\t\tif (!hasNext())\n\t\t\t\tthrow new NoSuchElementException();\n\t\t\tStringBuilder sb = new StringBuilder();\n\t\t\tint b = readByte();\n\t\t\twhile (isPrintableChar(b)) {\n\t\t\t\tsb.appendCodePoint(b);\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t\treturn sb.toString();\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\tif (!hasNext())\n\t\t\t\tthrow new NoSuchElementException();\n\t\t\tlong n = 0;\n\t\t\tboolean minus = false;\n\t\t\tint b = readByte();\n\t\t\tif (b == '-') {\n\t\t\t\tminus = true;\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t\tif (b < '0' || '9' < b) {\n\t\t\t\tthrow new NumberFormatException();\n\t\t\t}\n\t\t\twhile (true) {\n\t\t\t\tif ('0' <= b && b <= '9') {\n\t\t\t\t\tn *= 10;\n\t\t\t\t\tn += b - '0';\n\t\t\t\t} else if (b == -1 || !isPrintableChar(b)) {\n\t\t\t\t\treturn minus ? -n : n;\n\t\t\t\t} else {\n\t\t\t\t\tthrow new NumberFormatException();\n\t\t\t\t}\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\tlong nl = nextLong();\n\t\t\tif (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)\n\t\t\t\tthrow new NumberFormatException();\n\t\t\treturn (int) nl;\n\t\t}\n\n\t\tpublic double nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\n\t}\n\n\tstatic void tr(Object... objects) {\n\t\tSystem.out.println(Arrays.deepToString(objects));\n\t}\n}\n\n",
"python": "N, A, B = map(int, input().split())\nP = []\nQ = []\nans = 0\nfor i in range(N):\n a, b = map(int, input().split())\n v = abs(a-b)\n if v <= A or B <= v <= 2*A:\n ans += 1\n continue\n if a > b:\n P.append(a-b)\n else:\n Q.append(a-b)\n\nimport collections\nclass Dinic:\n def __init__(self, n):\n self.n = n\n self.g = [[] for i in range(n)]\n def add_edge(self, fr, to, cap):\n self.g[fr].append([to, cap, len(self.g[to])])\n self.g[to].append([fr, 0, len(self.g[fr])-1])\n def add_multi_edge(self, v1, v2, cap1, cap2):\n self.g[v1].append([v2, cap1, len(self.g[v2])])\n self.g[v2].append([v1, cap2, len(self.g[v1])-1])\n def bfs(self, s):\n level = [-1]*self.n\n deq = collections.deque()\n level[s] = 0\n deq.append(s)\n while deq:\n v = deq.popleft()\n for e in self.g[v]:\n if e[1]>0 and level[e[0]]<0:\n level[e[0]] = level[v] + 1\n deq.append(e[0])\n self.level = level\n def dfs(self, v, t, f):\n if v==t: return f\n es = self.g[v]\n level = self.level\n for i in range(self.it[v], len(self.g[v])):\n e = es[i]\n if e[1]>0 and level[v]<level[e[0]]:\n d = self.dfs(e[0], t, min(f, e[1]))\n if d>0:\n e[1] -= d\n self.g[e[0]][e[2]][1] += d\n self.it[v] = i\n return d\n self.it[v] = len(self.g[v])\n return 0\n def max_flow(self, s, t):\n flow = 0\n while True:\n self.bfs(s)\n if self.level[t]<0: break\n self.it = [0]*self.n\n while True:\n f = self.dfs(s, t, 10**9+7)\n if f>0:\n flow += f\n else:\n break\n return flow\n\ndinic = Dinic(2+len(P)+len(Q))\nLP = len(P)\nfor i in range(len(P)):\n dinic.add_edge(0, 2+i, 1)\nfor j in range(len(Q)):\n dinic.add_edge(2+LP+j, 1, 1)\nfor i, p in enumerate(P):\n for j, q in enumerate(Q):\n v = abs(p+q)\n if v <= A or B <= v <= 2*A:\n dinic.add_edge(2+i, 2+LP+j, 1)\nans += dinic.max_flow(0, 1)\nprint(ans)\n"
}
|
|
|
# Exhaustive Search
Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once.
You are given the sequence A and q questions where each question contains Mi.
Notes
You can solve this problem by a Burte Force approach. Suppose solve(p, t) is a function which checkes whether you can make t by selecting elements after p-th element (inclusive). Then you can recursively call the following functions:
solve(0, M)
solve(1, M-{sum created from elements before 1st element})
solve(2, M-{sum created from elements before 2nd element})
...
The recursive function has two choices: you selected p-th element and not. So, you can check solve(p+1, t-A[p]) and solve(p+1, t) in solve(p, t) to check the all combinations.
For example, the following figure shows that 8 can be made by A[0] + A[2].
<image>
Constraints
* n ≤ 20
* q ≤ 200
* 1 ≤ elements in A ≤ 2000
* 1 ≤ Mi ≤ 2000
Input
In the first line n is given. In the second line, n integers are given. In the third line q is given. Then, in the fourth line, q integers (Mi) are given.
Output
For each question Mi, print yes or no.
Example
Input
5
1 5 7 10 21
8
2 4 17 8 22 21 100 35
Output
no
no
yes
yes
yes
yes
no
no
|
[
{
"input": {
"stdin": "5\n1 5 7 10 21\n8\n2 4 17 8 22 21 100 35"
},
"output": {
"stdout": "no\nno\nyes\nyes\nyes\nyes\nno\nno"
}
},
{
"input": {
"stdin": "5\n0 5 10 -1 21\n8\n1 7 17 11 8 14 010 41"
},
"output": {
"stdout": "no\nno\nno\nno\nno\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 10 3 21\n8\n1 7 7 13 22 16 010 41"
},
"output": {
"stdout": "no\nno\nno\nyes\nno\nno\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 7 3 21\n8\n0 4 17 11 22 21 100 42"
},
"output": {
"stdout": "yes\nno\nno\nno\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 10 3 40\n8\n2 7 5 1 22 16 010 41"
},
"output": {
"stdout": "no\nno\nyes\nno\nno\nno\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 10 3 21\n8\n0 4 13 11 22 14 010 42"
},
"output": {
"stdout": "yes\nno\nyes\nno\nno\nno\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 7 3 21\n8\n0 0 33 11 2 21 000 47"
},
"output": {
"stdout": "yes\nyes\nyes\nno\nno\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 3 9 -1 22\n8\n0 2 18 5 17 21 011 0"
},
"output": {
"stdout": "yes\nyes\nno\nno\nno\nyes\nyes\nyes\n"
}
},
{
"input": {
"stdin": "5\n1 5 10 -1 21\n8\n0 2 17 11 9 14 011 41"
},
"output": {
"stdout": "yes\nno\nno\nyes\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 7 3 5 21\n8\n-1 1 17 11 5 21 101 42"
},
"output": {
"stdout": "no\nno\nno\nno\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 6 10 0 21\n8\n1 5 9 11 22 14 111 41"
},
"output": {
"stdout": "yes\nno\nno\nyes\nyes\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 10 21\n8\n2 4 17 10 22 21 100 35"
},
"output": {
"stdout": "no\nno\nyes\nyes\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 13 -1 21\n8\n0 2 17 11 8 10 011 43"
},
"output": {
"stdout": "yes\nno\nyes\nno\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 21\n8\n0 4 15 11 22 21 110 42"
},
"output": {
"stdout": "yes\nyes\nyes\nyes\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 5 3 21\n8\n0 0 33 11 0 21 000 47"
},
"output": {
"stdout": "yes\nyes\nno\nno\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 17 -1 21\n8\n1 2 19 11 17 8 011 76"
},
"output": {
"stdout": "yes\nno\nno\nno\nyes\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 11 3 21\n8\n2 5 17 11 22 14 010 42"
},
"output": {
"stdout": "no\nyes\nno\nyes\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 17 -1 21\n8\n1 1 19 11 17 8 011 76"
},
"output": {
"stdout": "yes\nyes\nno\nno\nyes\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 2 36\n8\n2 5 16 10 22 21 100 60"
},
"output": {
"stdout": "yes\nyes\nno\nyes\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 21\n8\n0 4 17 11 22 21 010 42"
},
"output": {
"stdout": "yes\nyes\nno\nyes\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n-1 5 10 1 21\n8\n1 8 31 11 16 14 001 40"
},
"output": {
"stdout": "yes\nno\nyes\nyes\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 5 3 21\n8\n0 0 33 11 2 21 000 47"
},
"output": {
"stdout": "yes\nyes\nno\nno\nno\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 7 3 21\n8\n0 4 33 5 22 21 001 47"
},
"output": {
"stdout": "yes\nno\nyes\nyes\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 11 5 21\n8\n2 4 17 11 22 14 000 42"
},
"output": {
"stdout": "no\nno\nno\nyes\nno\nno\nyes\nyes\n"
}
},
{
"input": {
"stdin": "5\n1 5 11 3 21\n8\n2 4 17 10 22 21 100 42"
},
"output": {
"stdout": "no\nyes\nyes\nno\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n2 5 7 3 21\n8\n0 2 17 11 36 34 010 74"
},
"output": {
"stdout": "yes\nyes\nyes\nno\nyes\nno\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 7 7 3 21\n8\n-1 4 17 11 4 21 100 42"
},
"output": {
"stdout": "no\nno\nyes\nno\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 7 7 2 36\n8\n2 5 16 10 22 21 100 60"
},
"output": {
"stdout": "yes\nno\nyes\nyes\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 21\n8\n0 4 15 11 38 21 110 57"
},
"output": {
"stdout": "yes\nyes\nyes\nyes\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 21\n8\n2 4 17 10 22 21 100 42"
},
"output": {
"stdout": "no\nyes\nno\nyes\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 6 9 0 39\n8\n0 2 18 3 55 21 011 0"
},
"output": {
"stdout": "yes\nno\nno\nno\nno\nno\nno\nyes\n"
}
},
{
"input": {
"stdin": "5\n1 5 12 5 23\n8\n2 4 17 8 42 18 110 12"
},
"output": {
"stdout": "no\nno\nyes\nno\nno\nyes\nno\nyes\n"
}
},
{
"input": {
"stdin": "5\n1 6 10 0 21\n8\n2 6 9 11 22 14 111 41"
},
"output": {
"stdout": "no\nyes\nno\nyes\nyes\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n2 5 12 5 23\n8\n2 4 17 18 42 18 110 42"
},
"output": {
"stdout": "yes\nno\nyes\nno\nyes\nno\nno\nyes\n"
}
},
{
"input": {
"stdin": "5\n1 5 9 3 36\n8\n2 4 17 10 22 21 100 42"
},
"output": {
"stdout": "no\nyes\nyes\nyes\nno\nno\nno\nyes\n"
}
},
{
"input": {
"stdin": "5\n0 5 7 3 21\n8\n0 6 33 11 8 21 001 47"
},
"output": {
"stdout": "yes\nno\nyes\nno\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 10 3 40\n8\n1 8 17 11 22 14 011 42"
},
"output": {
"stdout": "no\nyes\nno\nno\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 3 7 3 21\n8\n0 4 15 9 38 21 110 57"
},
"output": {
"stdout": "yes\nyes\nno\nno\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 9 3 21\n8\n0 4 15 9 38 21 010 57"
},
"output": {
"stdout": "yes\nyes\nyes\nyes\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 7 3 21\n8\n0 4 17 11 26 21 010 47"
},
"output": {
"stdout": "yes\nno\nno\nno\nyes\nyes\nyes\nno\n"
}
},
{
"input": {
"stdin": "5\n0 6 9 -1 39\n8\n0 2 18 5 17 21 011 0"
},
"output": {
"stdout": "yes\nno\nno\nyes\nno\nno\nno\nyes\n"
}
},
{
"input": {
"stdin": "5\n0 2 1 5 63\n8\n-1 0 17 11 3 21 100 39"
},
"output": {
"stdout": "no\nyes\nno\nno\nyes\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 7 4 3 21\n8\n0 4 17 11 22 21 100 42"
},
"output": {
"stdout": "yes\nyes\nno\nyes\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 36\n8\n2 4 17 10 22 21 100 60"
},
"output": {
"stdout": "no\nyes\nno\nyes\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 10 3\n8\n2 4 17 10 42 18 110 42"
},
"output": {
"stdout": "no\nyes\nyes\nyes\nno\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 32 -1 21\n8\n1 1 19 11 17 8 011 76"
},
"output": {
"stdout": "yes\nyes\nno\nno\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 5 14 5 10\n8\n0 -1 17 7 62 1 111 13"
},
"output": {
"stdout": "yes\nno\nno\nno\nno\nno\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n1 5 7 3 17\n8\n-1 4 17 10 26 21 101 72"
},
"output": {
"stdout": "no\nyes\nyes\nyes\nyes\nyes\nno\nno\n"
}
},
{
"input": {
"stdin": "5\n0 3 9 -1 39\n8\n0 2 18 5 17 21 011 0"
},
"output": {
"stdout": "yes\nyes\nno\nno\nno\nno\nyes\nyes\n"
}
},
{
"input": {
"stdin": "5\n2 5 7 3 21\n8\n1 4 17 11 22 21 010 74"
},
"output": {
"stdout": "no\nno\nyes\nno\nno\nyes\nyes\nno\n"
}
}
] |
{
"tags": [],
"title": "Exhaustive Search"
}
|
{
"cpp": "#include <stdio.h>\n#include <iostream>\n\nusing namespace std;\nint n,A[50];\n\nint zentan(int i,int m){\n\tif(m == 0)return 1;\n\tif(i >= n)return 0;\n\tint res = zentan(i + 1,m)||zentan(i+1,m-A[i]);\n\treturn res;\n}\n\nint main(){\n\tint q,M;\n\tcin >> n;\n\tfor(int i = 0;i<n;i++){\n\t\tcin>>A[i];\n\t}\n\n\tcin >> q;\n\tfor(int i = 0;i<q;i++){\n\t\tcin >> M;\n\t\tif(zentan(0,M)) cout << \"yes\" <<endl;\n\t\telse cout << \"no\" << endl;\n\t}\n\treturn 0;\n}\n",
"java": "\nimport java.util.Scanner;\n\nclass Main {\n\n\tpublic static void main(String args[]) {\n\t\tScanner in = new Scanner(System.in);\n\t\tint n = in.nextInt();\n\n\t\tint[] c = new int[n];\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tc[i] = in.nextInt();\n\n\t\t}\n\t\tint q = in.nextInt();\n\t\tfor (int i = 0; i < q; i++) {\n\n\t\t\tif(solve(c,0,in.nextInt())) {\n\t\t\t\tSystem.out.println(\"yes\");\n\t\t\t}else{\n\t\t\t\tSystem.out.println(\"no\");\n\t\t\t};\n\n\t\t}\n\n\t\tin.close();\n\t}\n\n\tprivate static boolean solve(int[] c,int i, int m) {\n\t\tboolean res;\n\t if (m == 0) {\n\t return true;\n\t }\n\t if (i == c.length) {\n\t return false;\n\t }\n\t res = solve(c,i + 1, m) || solve(c,i + 1, m - c[i]);\n\t return res;\n\t}\n}\n\n",
"python": "import itertools\n\nn = int(input())\nA = tuple(map(int, input().split()))\nq = int(input())\nB = tuple(map(int, input().split()))\n\nmemo = set()\nfor i in range(1, n + 1):\n for nums in itertools.combinations(A, i):\n memo.add(sum(nums))\n\nfor m in B:\n print('yes' if m in memo else 'no')\n"
}
|
|
|
# Ring
Write a program which finds a pattern $p$ in a ring shaped text $s$.
<image>
Constraints
* $1 \leq $ length of $p \leq $ length of $s \leq 100$
* $s$ and $p$ consists of lower-case letters
Input
In the first line, the text $s$ is given.
In the second line, the pattern $p$ is given.
Output
If $p$ is in $s$, print Yes in a line, otherwise No.
Examples
Input
vanceknowledgetoad
advance
Output
Yes
Input
vanceknowledgetoad
advanced
Output
No
|
[
{
"input": {
"stdin": "vanceknowledgetoad\nadvance"
},
"output": {
"stdout": "Yes"
}
},
{
"input": {
"stdin": "vanceknowledgetoad\nadvanced"
},
"output": {
"stdout": "No"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\n`avcned"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vadbenpowmefgtlnae\nadboweed"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "daotegdelwonkecnav\nedvamca"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanbeloowldegdtnad\ncdwanbee"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\ndndcva`"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eanltgfemwopnebdav\nadbowedc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "v`dblnpowmefgtenae\nadbdvedo"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "daotegdelwonkecnav\nadvamce"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vadbenpowmefgtlnae\nadbowedc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanceknowledgetoad\nedvanca"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vbnbekonwledgetoad\ncdvanced"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vadbenpowmefgtlnae\ncdewobda"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "favomfececonkdxtan\nobvcbbc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "favolgedeconkdxtan\nmvacbcd"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\ndencvaa"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "favomgececonkdxtan\nnvbcbbc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vatbenpowmefgdlnae\nadbnweed"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanbelonwlddgetoad\ncdvancee"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "daovegdelwonkecnat\nadvamce"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaevlgedoconkextan\ndn`cvac"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "v`dbknpowmefgtenae\nadbdvedo"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vatbenpowmeegdlnae\nadbnweed"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "faovlgedeconkextan\ndcvcaam"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovegddlwonkecnat\nacvamde"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaevlgedoxonkecnat\ndnccva`"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vbnceknowledgetoad\ncdvanced"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vbncekoowledgetoad\ncdvanced"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedeconkextan\ndn`cvac"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vbncekonwledgetoad\ncdvanced"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedeconkextan\ndnvc`ac"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\n`avcndd"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vadbenpowmefgtlnae\ndeewobda"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eanetgfemwopnlbd`v\nadbovedc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\nddnavca"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanbelpowmeegdtnae\nadbnweed"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "favolgedeconkextan\nmvacbcd"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\n`avcdnd"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanbelpowmeegdtnae\nddewnbda"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vanbelpowmeegetnad\ncdewnbea"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaevlgedoxonkecnat\ndndcva`"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedexonkecnat\naavcned"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "faovlgedeconkextan\ndnvc`ac"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "favomgececonkdxtan\novbcbbc"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "vadbenpowmefgtlnae\nadbnweed"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedewonkecnat\nddnavca"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "faovlgedeconkextan\ndcbcavm"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eanetgfemwopnkbd`v\nacbdvedo"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "eaovlgedewonkecnat\nacvamde"
},
"output": {
"stdout": "No\n"
}
}
] |
{
"tags": [],
"title": "Ring"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main(){\nstring s,d;\ncin>>s>>d;\ns+=s;\nif(s.find(d)<s.size())cout<<\"Yes\"<<endl;\nelse cout<<\"No\"<<endl;\n}",
"java": "import java.io.*;\n\npublic class Main {\n\tpublic static void main(String[] args) throws IOException {\n\t\tString inputString, phrase;\n\t\tInputStreamReader reader = new InputStreamReader(System.in);\n\t\tBufferedReader bufferdReader = new BufferedReader(reader);\n\t\t\n\t\tinputString = bufferdReader.readLine();\n\t\tinputString = inputString + inputString;\n\t\tphrase = bufferdReader.readLine();\n\t\tif (inputString.indexOf(phrase) != -1) {\n\t\t\tSystem.out.println(\"Yes\");\n\t\t} else {\n\t\t\tSystem.out.println(\"No\");\n\t\t}\n\t}\n\n}",
"python": "x=input()\ns=x*2\n\ny=input()\n\nif y in s:\n print(\"Yes\")\nelse:\n print(\"No\")"
}
|
|
|
A cricket team consists of 11 players and some are good at batting, others are good at bowling and some of them are good at both batting and bowling. The batting coach wants to select exactly K players having maximum possible sum of scores. Given the batting score of each of the 11 players, find the number of ways in which we can select exactly K players such that the sum of their scores is the maximum possible. Two ways are different if there is a player who is selected in one of them is not in the other. See explanation of sample cases for more clarity.
Input
First line contains T, number of test cases ( 1 ≤ T ≤ 100 ). T cases follow, each having 2 lines. First line of each case contains scores of 11 players ( 1 ≤ score ≤ 100 ) and the second line contains K (1 ≤ K ≤ 11)
Output
For each test case, output the answer in a new line.
Example
Input:
2
1 2 3 4 5 6 7 8 9 10 11
3
2 5 1 2 4 1 6 5 2 2 1
6
Output:
1
6
Explanation:
Case 1 : Maximum possible sum of scores = 11 + 10 + 9 = 30 and can be achieved only by selecting the last 3 players. Only one possible way.
Case 2 : Maximum possible sum of scores = 6 + 5 + 5 + 4 + 2 + 2 = 24 and considering the players as p1 p2 p3 ... p11 in that order, the ones with maximum possible sum of scores is as follows
{p1, p2, p4, p5, p7, p8 }
{p10, p2, p4, p5, p7, p8 }
{p1, p2, p10, p5, p7, p8 }
{p9, p2, p4, p5, p7, p8 }
{p1, p2, p9, p5, p7, p8 }
{p10, p2, p9, p5, p7, p8 }
|
[
{
"input": {
"stdin": "2\n1 2 3 4 5 6 7 8 9 10 11\n3\n2 5 1 2 4 1 6 5 2 2 1\n6"
},
"output": {
"stdout": "1\n6\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 9 9 15\n3\n-1 5 1 4 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 5 4 1 6 14 8 9 6 11\n3\n3 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 11 14 11 9 6 7\n3\n0 5 1 2 0 1 6 5 4 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 5 1 2 4 1 5 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n6\n0 5 1 2 4 1 6 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 8 9 6 11\n3\n-1 5 1 2 4 1 4 5 1 0 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 5 1 3 1 1 4 5 2 2 2\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n4 1 3 4 5 11 11 2 9 9 15\n3\n-1 5 1 4 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 3 11 14 11 12 6 12\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 3 3 4 5 6 14 11 9 10 11\n3\n3 5 0 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 8 9 10 11\n3\n2 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 3 9 17\n3\n-1 5 1 3 1 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 2 5 11 11 2 3 9 17\n3\n-1 5 1 3 1 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 10 11\n3\n2 5 1 2 4 1 6 7 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 11 9 6 12\n3\n-1 5 1 2 4 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 5 1 2 1 2 2 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 1 4 7 6 14 11 9 10 11\n3\n2 5 1 2 4 1 6 7 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 1 12 6 9\n3\n0 5 1 3 1 1 4 5 3 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 5 1 2 1 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 9 9 17\n3\n0 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 20 9 6 11\n3\n0 5 1 3 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 17 9 9\n5\n0 5 1 3 1 1 4 9 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 11 9 6 11\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "3\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 11 14 11 11 6 11\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "6\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 12 6 13\n3\n0 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 12 12 13\n3\n0 5 1 3 1 1 4 5 2 0 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n0 5 1 2 4 1 6 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 10 11\n3\n2 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n3 5 1 2 2 1 6 5 4 2 1\n2"
},
"output": {
"stdout": "1\n2\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 9 9 15\n3\n-1 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 2 12 6 9\n3\n0 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 11 1 12 6 12\n3\n0 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 7 6 14 11 9 10 11\n3\n2 5 1 2 4 1 6 7 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 3 3 4 5 6 14 11 9 10 11\n3\n3 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 16 2 9 4 17\n6\n0 5 1 3 1 1 4 5 2 2 1\n11"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n0 5 1 2 4 1 6 5 4 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n3 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 11 9 6 12\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 3 11 14 11 12 6 12\n3\n0 5 1 2 4 1 2 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n-1 5 1 2 4 1 5 5 1 2 2\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n5\n3 5 1 2 2 1 6 5 4 2 1\n2"
},
"output": {
"stdout": "2\n2\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 10 11\n3\n3 5 1 2 4 1 6 5 2 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 10 11 11 1 12 6 9\n3\n0 5 1 3 1 1 4 5 3 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 1 1 3 1 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 3 11 14 11 12 6 12\n3\n0 5 1 1 4 1 2 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2 1 3 4 5 11 14 1 12 6 12\n3\n0 5 1 3 1 1 4 0 2 2 2\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 6 14 11 9 6 11\n3\n0 5 1 2 0 1 6 5 4 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1 2 3 4 5 11 14 1 4 6 11\n3\n0 5 1 2 4 1 4 5 1 2 1\n11"
},
"output": {
"stdout": "1\n1\n"
}
}
] |
{
"tags": [],
"title": "bestbats"
}
|
{
"cpp": null,
"java": null,
"python": "import math\ndef ncr(n,r):\n f = math.factorial\n return f(n)/(f(r)*f(n-r))\n \nt = int(raw_input())\nfor i in range(t):\n a = map(int , raw_input().split())\n k = input()\n a.sort()\n temp=a[11 - k] \n r = n= 0\n for j in xrange(11-k, 11):\n if temp == a[j]:\n r += 1\n for j in xrange(11):\n if temp == a[j]:\n n += 1\n \n print ncr(n,r)"
}
|
|
|
So, as you all know free WiFis are being
installed in our institute.
These are a special
type of WiFi and they start to interfere when
there is a signal coming from two different
WiFis at a single location. The WiFi
installation task is given to you.
There are N suitable locations for the
installation of WiFi.
These locations are
located along straight line positions
x1,x2,...,xN (0<=xi<=1000000000).
You have to install C WiFis.
You have to
install the WiFis at locations such that the
minimum distance between any two of them
is as large as possible.
What is the largest
minimum distance ?
Input
Line 1 of contains Two space-separated integers: N and C.
Each of the next N lines, contain an integer denoting the
location Xi.
Output
Print the largest minimum distance in a
single line.
Constraints
1 ≤ N ≤ 10^5
1 ≤ Xi ≤ 10^9
Example
Input:
5 3
1
2
8
4
9
Output:
3
Explanation
Example case 1. The WiFis can be installed at locations 1,4 and 8 or 1,4 and 9 resulting in a minimum distance of 3.
|
[
{
"input": {
"stdin": "5 3\n1\n2\n8\n4\n9"
},
"output": {
"stdout": "3"
}
}
] |
{
"tags": [],
"title": "cn03"
}
|
{
"cpp": null,
"java": null,
"python": "def f(d, N, C, X):\n\n\tcows_placed = 1\n\tlast_pos = X[0]\n\tfor i in xrange(1, N):\n\t\tif X[i] - last_pos >= d:\n\t\t\tcows_placed += 1\n\t\t\tlast_pos = X[i]\n\t\t\tif cows_placed == C:\n\t\t\t\treturn 1\n\n\treturn 0\n\nN, C = map(int, raw_input().split())\n\nX = []\nfor i in xrange(N):\n\tX.append(input())\n\nX.sort()\n\nstart = 0\nend = X[N-1]\n\nwhile start < end:\n\n\tmid = (start+end)/2\n\tval = f(mid, N, C, X)\n\n\tif val == 1:\n\t\tstart = mid+1\n\telse: #if val == 0:\n\t\tend = mid\n\nprint start-1"
}
|
|
|
Chef is the head of commercial logging industry that recently bought a farm containing N trees. You are given initial height of the i-th tree by Hi and the rate of growth of height as Ri meters per month. For simplicity, you can assume that all the trees are perfect cylinders of equal radius. This allows us to consider only the height of trees when we talk about the amount of wood.
In Chef's country, laws don't allow one to cut a tree partially, so one has to cut the tree completely for gathering wood. Also, laws prohibit cutting trees of heights (strictly) lower than L meters.
Today Chef received an order of W meters (of height) of wood. Chef wants to deliver this order as soon as possible. Find out how minimum number of months he should wait after which he will able to fulfill the order. You can assume that Chef's company's sawing machines are very efficient and take negligible amount of time to cut the trees.
Input
There is a single test case per test file.
The first line of the input contains three space separated integers N, W and L denoting the number of trees in the farm, the amount of wood (in meters) that have to be gathered and the minimum allowed height of the tree to cut.
Each of next N lines contain two space separated integers denoting Hi and Ri respectively.
Output
Output a single integer denoting the number of months that have to pass before Chef will be able to fulfill the order.
Constraints
1 ≤ N ≤ 10^5
1 ≤ W, L ≤ 10^18
1 ≤ Hi, Ri ≤ 10^9
Example
Input:
3 74 51
2 2
5 7
2 9
Output:
7
Explanation
After 6 months, heights of each tree will be 14, 47 and 56 respectively. Chef is allowed to cut only the third tree, sadly it is not enough to fulfill an order of 74 meters of wood.
After 7 months, heights of each tree will be 16, 54 and 65 respectively. Now Chef is allowed to cut second and third trees. Cutting both of them would provide him 119 meters of wood, which is enough to fulfill the order.
|
[
{
"input": {
"stdin": "3 74 51\n2 2\n5 7\n2 9"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "2 70 82\n2 4\n0 2\n3 7"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "2 70 82\n4 4\n0 2\n3 7"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "3 74 51\n3 2\n5 7\n2 9"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "2 253 158\n2 1\n14 3\n3 9"
},
"output": {
"stdout": "80\n"
}
},
{
"input": {
"stdin": "3 51 141\n2 2\n1 7\n2 9"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n1 7\n2 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 62 82\n4 2\n1 10\n1 2"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "1 74 -2\n3 2\n5 7\n2 3"
},
"output": {
"stdout": "36\n"
}
},
{
"input": {
"stdin": "2 123 82\n8 4\n-2 2\n5 7"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "3 51 141\n0 2\n2 7\n2 9"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "3 108 82\n0 4\n1 6\n1 2"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "3 74 0\n3 2\n5 7\n2 5"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "2 539 89\n2 1\n20 4\n5 20"
},
"output": {
"stdout": "104\n"
}
},
{
"input": {
"stdin": "3 93 82\n0 2\n7 7\n2 9"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "1 71 -2\n3 1\n5 19\n2 3"
},
"output": {
"stdout": "68\n"
}
},
{
"input": {
"stdin": "3 62 82\n4 2\n1 7\n2 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n1 14\n3 9"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "3 57 113\n0 2\n3 7\n3 9"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "2 70 6\n2 2\n0 2\n3 7"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "3 51 113\n0 2\n2 7\n2 9"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "1 74 -1\n4 2\n5 4\n2 0"
},
"output": {
"stdout": "35\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n1 7\n1 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "2 70 82\n2 2\n0 2\n3 7"
},
"output": {
"stdout": "40\n"
}
},
{
"input": {
"stdin": "1 83 -4\n0 1\n1 1\n-2 1"
},
"output": {
"stdout": "83\n"
}
},
{
"input": {
"stdin": "3 167 82\n1 1\n7 1\n2 9"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n1 7\n3 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 74 82\n2 2\n1 7\n2 12"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "3 74 82\n0 2\n5 7\n2 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n0 2\n3 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "2 74 21\n4 2\n1 1\n2 6"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "3 74 51\n3 2\n5 7\n2 3"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "2 123 131\n4 4\n-1 2\n5 7"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "1 74 -3\n1 3\n5 11\n0 2"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "3 74 30\n2 2\n1 7\n2 18"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "1 57 113\n0 2\n3 4\n6 9"
},
"output": {
"stdout": "57\n"
}
},
{
"input": {
"stdin": "1 108 155\n-1 4\n3 12\n3 1"
},
"output": {
"stdout": "39\n"
}
},
{
"input": {
"stdin": "2 5 -4\n3 3\n5 10\n1 4"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 146 30\n2 2\n1 7\n2 12"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "2 70 82\n4 3\n0 2\n3 7"
},
"output": {
"stdout": "26\n"
}
},
{
"input": {
"stdin": "3 74 30\n4 2\n1 1\n1 18"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "3 51 141\n0 2\n1 7\n2 9"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "3 51 113\n0 2\n2 7\n3 9"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "3 62 82\n4 2\n1 7\n1 2"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "3 62 82\n4 2\n1 7\n1 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "3 74 30\n2 2\n1 7\n0 18"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "2 123 82\n4 4\n-1 2\n5 7"
},
"output": {
"stdout": "30\n"
}
},
{
"input": {
"stdin": "3 167 82\n1 1\n7 13\n2 9"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 62 82\n4 4\n1 6\n1 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 62 82\n2 2\n1 2\n3 9"
},
"output": {
"stdout": "9\n"
}
}
] |
{
"tags": [],
"title": "forestga"
}
|
{
"cpp": null,
"java": null,
"python": "from operator import itemgetter\n\ndef can_cut(time,limit,target):\n total = 0\n for i in range(number_of_trees):\n ht = tree_list[i][0]+tree_list[i][1]*time\n if ht>=limit:\n total+=ht\n return total >= target\n\n##def order_size(month,max,target):\n## total=0\n## i=0\n## while(i<max and tree_list[i][2]<=month and total <= target):\n## total+= (tree_list[i][0]+tree_list[i][1]*month)\n## i+=1\n## return total\n\n##def getceil(num):\n## if num > int(num):\n## num = int(num)+1\n## else:\n## num = int(num)\n## return int(num)\n\ntemp = raw_input();\ntemp = temp.split();\nnumber_of_trees,target,limit = int(temp[0]),int(temp[1]),int(temp[2]);\n\ntree_list=list();\n\ni=0;\ntotal_increase = 0\nwhile i<number_of_trees:\n temp = raw_input();\n temp = temp.split();\n height,rate = int(temp[0]),int(temp[1]);\n #total_increase+=rate\n## if limit <= height:\n## eligible_in = 0;\n## tree_list.append((height,rate,eligible_in))\n## else:\n## eligible_in = getceil(((limit-height)/float(rate)))\n## tree_list.append((height,rate,eligible_in))\n tree_list.append((height,rate))\n i+=1;\n\n#print tree_list\n#tree_list = sorted(tree_list,key=itemgetter(2))\n#print tree_list\n\nstart = -1\nend = 10**18\n\nwhile end-start>1:\n #print \"Start = \",start,\" End = \",end;\n mid = (start+end)/2\n if can_cut(mid,limit,target):\n end=mid;\n else:\n start=mid\nprint end"
}
|
|
|
Stuart is obsessed to numbers. He like all type of numbers in fact he is having a great collection of numbers in his room. His collection includes N different large numbers. But today he is searching for a number which is having maximum frequency of digit X. Numbers are large so he can’t do the task on his own. Help him to find a number having maximum frequency of digit X.
Input
First Line contains number of test cases T. First Line of each test case contains N. Next line contains N space separated integers A1,A2,A3,....,AN. Where Ai integer indicates i^th number in Stuart's room. Next Line contains digit X.
Output
Output the number which is having maximum frequency of digit X. If two or more numbers are having same maximum frequency then output the first occurred number among them in A1,A2,A3,....,AN
Constraints
1 ≤ T ≤ 30
1 ≤ N ≤ 100
1 ≤ Ai ≤ 10^200
0 ≤ X ≤ 9
Example
Input:
2
5
345 1323 165 98 456
3
5
335 876 98 1323 349
3
Output:
1323
335
Explanation
Example case 1. 1323 number is having maximum occurrence of digit 3.
Example case 2. 335 & 1323 are having maximum occurrence of digit 3 so output must be first occurred number in the array i.e. 335.
|
[
{
"input": {
"stdin": "2\n5\n345 1323 165 98 456\n3\n5\n335 876 98 1323 349\n3"
},
"output": {
"stdout": "1323\n335"
}
},
{
"input": {
"stdin": "2\n3\n626 877 26 234 77\n6\n2\n195 24 57 2224 226\n2"
},
"output": {
"stdout": "626\n24\n"
}
},
{
"input": {
"stdin": "2\n3\n23 1084 216 55 456\n3\n2\n335 1107 101 1323 396\n1"
},
"output": {
"stdout": "23\n1107\n"
}
},
{
"input": {
"stdin": "2\n1\n345 2084 165 55 81\n6\n1\n35 883 001 248 175\n1"
},
"output": {
"stdout": "345\n35\n"
}
},
{
"input": {
"stdin": "2\n5\n42 17 618 143 134\n8\n4\n404 78 001 2907 782\n-1"
},
"output": {
"stdout": "618\n404\n"
}
},
{
"input": {
"stdin": "2\n5\n63 1079 118 99 852\n3\n2\n1 746 001 2284 261\n1"
},
"output": {
"stdout": "63\n1\n"
}
},
{
"input": {
"stdin": "2\n3\n626 877 25 164 77\n5\n2\n335 685 57 1323 331\n4"
},
"output": {
"stdout": "25\n335\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 55 456\n3\n5\n335 746 001 1323 474\n1"
},
"output": {
"stdout": "345\n001\n"
}
},
{
"input": {
"stdin": "2\n3\n508 2233 165 98 747\n0\n5\n495 406 1 574 691\n3"
},
"output": {
"stdout": "508\n495\n"
}
},
{
"input": {
"stdin": "2\n5\n254 774 451 109 341\n0\n1\n18 2 011 2553 1437\n2"
},
"output": {
"stdout": "109\n18\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1323 257 98 456\n3\n5\n335 876 98 1323 474\n4"
},
"output": {
"stdout": "1323\n474\n"
}
},
{
"input": {
"stdin": "2\n3\n215 569 43 195 94\n0\n4\n86 33 74 1462 225\n2"
},
"output": {
"stdout": "215\n1462\n"
}
},
{
"input": {
"stdin": "2\n1\n345 1760 280 101 333\n0\n3\n493 690 100 11 56\n0"
},
"output": {
"stdout": "345\n100\n"
}
},
{
"input": {
"stdin": "2\n5\n254 774 451 77 341\n0\n1\n18 708 011 1849 927\n2"
},
"output": {
"stdout": "254\n18\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 55 81\n3\n1\n32 883 101 92 474\n1"
},
"output": {
"stdout": "345\n32\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1062 216 98 414\n4\n5\n383 222 98 1323 474\n4"
},
"output": {
"stdout": "414\n474\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1062 216 98 97\n7\n5\n383 222 139 1323 474\n4"
},
"output": {
"stdout": "97\n474\n"
}
},
{
"input": {
"stdin": "2\n5\n254 774 451 102 341\n0\n1\n18 2 011 3595 927\n2"
},
"output": {
"stdout": "102\n18\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 33 81\n3\n1\n33 883 101 55 474\n1"
},
"output": {
"stdout": "33\n33\n"
}
},
{
"input": {
"stdin": "2\n2\n508 5311 176 98 831\n0\n5\n495 406 1 574 1169\n1"
},
"output": {
"stdout": "508\n1169\n"
}
},
{
"input": {
"stdin": "2\n2\n508 5311 176 98 831\n0\n5\n495 406 1 574 1169\n0"
},
"output": {
"stdout": "508\n406\n"
}
},
{
"input": {
"stdin": "2\n5\n500 1675 474 125 456\n3\n5\n39 1581 127 1294 568\n0"
},
"output": {
"stdout": "500\n39\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 294 66 456\n1\n1\n326 883 100 1323 474\n0"
},
"output": {
"stdout": "1079\n326\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1760 280 66 178\n0\n4\n159 1834 100 7 139\n4"
},
"output": {
"stdout": "1760\n1834\n"
}
},
{
"input": {
"stdin": "2\n5\n125 1824 216 98 57\n12\n5\n383 327 190 717 1469\n2"
},
"output": {
"stdout": "125\n327\n"
}
},
{
"input": {
"stdin": "2\n3\n42 21 370 143 134\n3\n2\n435 193 001 1635 782\n0"
},
"output": {
"stdout": "370\n435\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1683 216 167 456\n4\n5\n335 440 98 1323 474\n4"
},
"output": {
"stdout": "345\n440\n"
}
},
{
"input": {
"stdin": "2\n5\n198 1824 53 98 6\n12\n5\n355 145 190 550 1469\n4"
},
"output": {
"stdout": "198\n145\n"
}
},
{
"input": {
"stdin": "2\n5\n198 1824 53 98 57\n12\n5\n383 327 190 550 1469\n4"
},
"output": {
"stdout": "198\n1469\n"
}
},
{
"input": {
"stdin": "2\n5\n29 650 138 162 713\n3\n2\n1 1340 011 2284 261\n0"
},
"output": {
"stdout": "138\n1340\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1323 165 98 456\n3\n5\n335 876 98 1360 349\n3"
},
"output": {
"stdout": "1323\n335\n"
}
},
{
"input": {
"stdin": "2\n5\n29 643 138 99 713\n3\n1\n1 1340 001 2284 261\n0"
},
"output": {
"stdout": "643\n1\n"
}
},
{
"input": {
"stdin": "2\n5\n30 650 138 162 255\n5\n3\n0 1696 111 3039 261\n-1"
},
"output": {
"stdout": "255\n0\n"
}
},
{
"input": {
"stdin": "2\n3\n23 536 370 108 134\n3\n2\n435 193 100 3176 782\n0"
},
"output": {
"stdout": "23\n435\n"
}
},
{
"input": {
"stdin": "2\n5\n198 1824 34 98 6\n12\n5\n355 34 70 550 1469\n4"
},
"output": {
"stdout": "198\n34\n"
}
},
{
"input": {
"stdin": "2\n5\n125 1824 216 98 57\n7\n5\n383 327 142 717 1469\n2"
},
"output": {
"stdout": "57\n327\n"
}
},
{
"input": {
"stdin": "2\n4\n20 650 138 162 1327\n5\n3\n0 1696 011 2035 261\n0"
},
"output": {
"stdout": "650\n0\n"
}
},
{
"input": {
"stdin": "2\n1\n345 1760 280 66 178\n0\n4\n296 471 100 7 277\n4"
},
"output": {
"stdout": "345\n471\n"
}
},
{
"input": {
"stdin": "2\n5\n30 650 138 162 110\n5\n3\n-1 1696 111 3039 261\n-1"
},
"output": {
"stdout": "650\n-1\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 66 456\n3\n2\n335 746 111 1323 474\n4"
},
"output": {
"stdout": "345\n746\n"
}
},
{
"input": {
"stdin": "2\n4\n20 650 138 162 1327\n3\n3\n1 1090 011 2035 261\n0"
},
"output": {
"stdout": "138\n1090\n"
}
},
{
"input": {
"stdin": "2\n2\n6 5420 176 21 725\n0\n5\n495 406 1 254 33\n2"
},
"output": {
"stdout": "5420\n254\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1675 474 125 456\n3\n5\n39 1581 98 512 349\n1"
},
"output": {
"stdout": "345\n1581\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 55 81\n3\n1\n66 883 101 92 474\n1"
},
"output": {
"stdout": "345\n66\n"
}
},
{
"input": {
"stdin": "2\n4\n20 650 138 162 1327\n3\n3\n0 1807 011 2035 261\n0"
},
"output": {
"stdout": "138\n0\n"
}
},
{
"input": {
"stdin": "2\n5\n125 1824 216 98 57\n12\n5\n383 327 190 717 1469\n4"
},
"output": {
"stdout": "125\n1469\n"
}
},
{
"input": {
"stdin": "2\n3\n29 650 671 162 110\n4\n3\n-1 1696 111 3039 261\n-1"
},
"output": {
"stdout": "29\n-1\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1079 216 98 456\n3\n5\n26 746 98 2435 474\n3"
},
"output": {
"stdout": "345\n2435\n"
}
},
{
"input": {
"stdin": "2\n3\n626 877 39 234 77\n1\n4\n144 33 74 1462 226\n2"
},
"output": {
"stdout": "626\n1462\n"
}
},
{
"input": {
"stdin": "2\n5\n345 1683 216 98 456\n3\n5\n335 876 98 1323 474\n4"
},
"output": {
"stdout": "345\n474\n"
}
}
] |
{
"tags": [],
"title": "linnum"
}
|
{
"cpp": null,
"java": null,
"python": "for _ in range(input()):\n\tn=input()\n\ta=raw_input().split()\n\tx=raw_input()\n\tb=[0]*n\n\t#n=a[0].count(x)\n\t#print n\n\tfor i in range(n):\n\t\tc=a[i].count(x)\n\t\tb[i]=c\n\tm=max(b)\n\t#print b\n\tfor i in range(n):\n\t\tif b[i]==m:\n\t\t\tprint a[i]\n\t\t\tbreak"
}
|
|
|
Problem Statement
You have a number N and you want to calculate how many divisors of N are special.
A number is said to be special if it is possible to remove some digits from it to get a number having 3, 5 or 6 only.For exemple number 38597 is special since it is posible to remove digits 8, 9, 7 to get 35. You can remove some digits but not all digits. You can remove digits from left, right or middle.
Constraints
1 <= T <= 10
1 <= N <= 10^9
Input
First line of input containes an integer T, number of test cases and then t test cases follow. Each test case is of one line containing an integer N.
Output
Output is of T lines, one for each test case. Each line contains number of special devisiors of respective test case.
Example
Input:
2
15
75
Output
3
5
|
[
{
"input": {
"stdin": "2\n15\n75"
},
"output": {
"stdout": "3\n5"
}
}
] |
{
"tags": [],
"title": "pree02"
}
|
{
"cpp": null,
"java": null,
"python": "from math import sqrt\nt=input()\nwhile t!=0:\n n=input()\n c=0\n for i in range(2,int(sqrt(n))+1):\n if n%i==0:\n if str(i).find('5')!=-1 or str(i).find('3')!=-1 or str(i).find('6')!=-1:\n c+=1\n # print i\n if str(n/i).find('5')!=-1 or str(n/i).find('3')!=-1 or str(n/i).find('6')!=-1:\n c+=1\n # print n/i\n \n \n if str(n).find('3')!=-1 or str(n).find('5')!=-1 or str(n).find('6')!=-1:\n c+=1\n print c\n t-=1"
}
|
|
|
Andy and Bob are the only two delivery men of Pizza-chef store. Today, the store received N orders.
It's known that the amount of tips may be different when handled by different delivery man.
More specifically, if Andy takes the i^th order, he would be tipped Ai dollars and if Bob takes this order,
the tip would be Bi dollars.
They decided that they would distribute the orders among themselves to maximize the total tip money. One order will be handled by only
one person. Also, due to time constraints Andy cannot take more than X orders and Bob cannot take more than
Y orders. It is guaranteed that X + Y is greater than or equal to N, which means that all the orders can be handled
by either Andy or Bob.
Please find out the maximum possible amount of total tip money after processing all the orders.
Input
The first line contains three integers N, X, Y.
The second line contains N integers. The i^th integer represents Ai.
The third line contains N integers. The i^th integer represents Bi.
Output
Print a single integer representing the maximum tip money they would receive.
Constraints
All test:
1 ≤ N ≤ 10^5
1 ≤ X, Y ≤ N; X + Y ≥ N
1 ≤ Ai, Bi ≤ 10^4
10 points:
1 ≤ N ≤ 20
30 points:
1 ≤ N ≤ 5000
60 points:
1 ≤ N ≤ 10^5
Example
Input:
5 3 3
1 2 3 4 5
5 4 3 2 1
Output:
21
Explanation
Bob will take the first three orders (or the first two) and Andy will take the rest (of course).
|
[
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n5 4 3 2 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n-1 4 2 1 3"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n5 4 2 1 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 2 11\n3 0 -1 1 0\n3 4 3 1 0"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "5 3 5\n1 1 3 4 5\n5 4 3 0 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 1 8 15\n18 1 0 -1 1"
},
"output": {
"stdout": "43\n"
}
},
{
"input": {
"stdin": "5 4 3\n1 1 0 4 5\n10 7 1 0 1"
},
"output": {
"stdout": "27\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 0 4 5\n5 4 3 1 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n0 2 3 8 5\n5 4 1 0 2"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n2 4 0 0 2"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 5 4 9\n2 4 2 1 2"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 1 7 7\n10 4 1 0 1"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 4 4 9\n2 4 2 1 2"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "5 4 3\n1 1 3 4 5\n10 7 1 0 1"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 0 4 5\n5 4 1 1 1"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "5 1 5\n1 2 2 1 0\n0 0 2 0 0"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 4 4 7\n15 4 1 0 1"
},
"output": {
"stdout": "34\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n5 4 2 0 2"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 5\n1 1 2 4 5\n5 6 3 0 1"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 0 3 4 5\n2 4 0 0 2"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 1 8 7\n10 4 1 0 1"
},
"output": {
"stdout": "30\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 5 5\n8 4 1 2 1"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 0 3 5 5\n5 4 3 0 1"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "5 1 5\n1 2 2 1 0\n0 4 2 0 0"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "5 4 3\n1 4 4 4 9\n2 4 2 1 2"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 -1 3 4 5\n5 3 3 0 1"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 0 7 7\n16 4 1 0 1"
},
"output": {
"stdout": "35\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 0 3 5 5\n1 4 3 0 2"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "5 2 4\n1 2 3 3 6\n-1 1 3 0 3"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5 4 3\n1 2 7 4 9\n2 0 2 1 2"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "5 3 2\n1 2 5 14 7\n10 4 1 1 1"
},
"output": {
"stdout": "40\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 6\n-1 4 2 1 3"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 3 4 5\n5 4 1 0 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 4 4 7\n10 4 1 0 1"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 4 4 7\n10 1 1 0 1"
},
"output": {
"stdout": "26\n"
}
},
{
"input": {
"stdin": "5 3 4\n0 2 3 2 34\n-1 2 6 0 3"
},
"output": {
"stdout": "44\n"
}
},
{
"input": {
"stdin": "5 4 3\n1 2 7 4 9\n2 4 2 1 2"
},
"output": {
"stdout": "26\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 1 8 7\n11 4 1 0 2"
},
"output": {
"stdout": "31\n"
}
},
{
"input": {
"stdin": "5 1 4\n1 2 3 2 41\n0 2 6 0 3"
},
"output": {
"stdout": "49\n"
}
},
{
"input": {
"stdin": "5 3 3\n0 1 3 8 7\n10 4 1 0 1"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 5\n2 4 2 0 2"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "5 3 5\n1 1 2 4 5\n5 4 3 0 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 3 4 5\n5 4 1 0 0"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 5 5\n5 4 1 2 1"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 5 4 5\n2 4 3 1 2"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 0 4 5\n5 4 3 0 1"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 1 1 16 7\n11 4 1 0 4"
},
"output": {
"stdout": "39\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 3 4 6\n-1 2 2 1 3"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5 2 5\n1 2 2 1 0\n0 0 2 0 0"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5 3 3\n1 2 5 4 9\n2 4 2 0 3"
},
"output": {
"stdout": "24\n"
}
}
] |
{
"tags": [],
"title": "tadelive"
}
|
{
"cpp": null,
"java": null,
"python": "def test(r,s,t):\n a=[(x,s[x]-t[x]) for x in range(r[0])]\n def f(a):\n if a[1]>0:\n return a[1]\n else:\n return -a[1]\n a=sorted(a,key=f,reverse=True)\n i=j=k=sum=0\n while i<r[0]:\n if a[i][1]>0:\n sum+=s[a[i][0]]\n i+=1\n j+=1\n if(j==r[1]):\n break\n else:\n sum+=t[a[i][0]]\n i+=1\n k+=1\n if(k==r[2]):\n break\n else:\n return sum\n if(j==r[1]):\n while i<r[0] and k<=r[2]:\n sum+=t[a[i][0]]\n k+=1\n i+=1\n else:\n while i<r[0] and j<=r[1]:\n sum+=s[a[i][0]]\n j+=1\n i+=1\n return sum \n \ndef process(s):\n return map(int,s.split())\n\nprint test(process(raw_input()),process(raw_input()),process(raw_input()))"
}
|
|
|
# Store
Natasha was already going to fly back to Earth when she remembered that she needs to go to the Martian store to buy Martian souvenirs for her friends.
It is known, that the Martian year lasts x_{max} months, month lasts y_{max} days, day lasts z_{max} seconds. Natasha also knows that this store works according to the following schedule: 2 months in a year were selected: x_l and x_r (1≤ x_l≤ x_r≤ x_{max}), 2 days in a month: y_l and y_r (1≤ y_l≤ y_r≤ y_{max}) and 2 seconds in a day: z_l and z_r (1≤ z_l≤ z_r≤ z_{max}). The store works at all such moments (month x, day y, second z), when simultaneously x_l≤ x≤ x_r, y_l≤ y≤ y_r and z_l≤ z≤ z_r.
Unfortunately, Natasha does not know the numbers x_l,x_r,y_l,y_r,z_l,z_r.
One Martian told Natasha: "I went to this store (n+m) times. n times of them it was opened, and m times — closed." He also described his every trip to the store: the month, day, second of the trip and whether the store was open or closed at that moment.
Natasha can go to the store k times. For each of them, determine whether the store at the time of the trip is open, closed, or this information is unknown.
Input
The first line contains 6 integers x_{max}, y_{max}, z_{max}, n, m, k (1≤ x_{max},y_{max},z_{max}≤ 10^5, 1≤ n≤ 10^5, 0≤ m≤ 10^5, 1≤ k≤ 10^5) — number of months in a year, days in a month, seconds in a day, times when the store (according to a Martian) was opened, when it was closed and Natasha's queries.
The i-th of the next n lines contains 3 integers x_i, y_i, z_i (1≤ x_i≤ x_{max}, 1≤ y_i≤ y_{max}, 1≤ z_i≤ z_{max}) — month, day and second of i-th time, when the store, according to the Martian, was opened.
The i-th of the next m lines contains 3 integers x_i, y_i, z_i (1≤ x_i≤ x_{max}, 1≤ y_i≤ y_{max}, 1≤ z_i≤ z_{max}) — month, day and second of i-th time, when the store, according to the Martian, was closed.
The i-th of the next k lines contains 3 integers x_i, y_i, z_i (1≤ x_i≤ x_{max}, 1≤ y_i≤ y_{max}, 1≤ z_i≤ z_{max}) — month, day and second of i-th Natasha's query.
Output
If the Martian was mistaken and his information about when the store is open and when it is closed is inconsistent, print a single line "INCORRECT" (without quotes).
Otherwise, print the first line "CORRECT" (without quotes). Next output k lines: in i-th of them, output an answer to i-th Natasha's query: "OPEN" (without quotes), if the store was opened at the moment of this query, "CLOSED" (without quotes), if it was closed, or "UNKNOWN" (without quotes), if this information can not be determined on the basis of available data.
Examples
Input
10 10 10 3 1 3
2 6 2
4 2 4
6 4 6
9 9 9
3 3 3
10 10 10
8 8 8
Output
CORRECT
OPEN
CLOSED
UNKNOWN
Input
10 10 10 1 1 1
2 5 7
2 5 7
8 9 10
Output
INCORRECT
Note
Consider the first test case.
There are 10 months in a year, 10 days in a month, and 10 seconds in a day.
The store was opened in 3 moments:
* month 2, day 6, second 2;
* month 4, day 2, second 4;
* month 6, day 4, second 6.
The store was closed at the time: month 9, day 9, second 9.
Queries:
* month 3, day 3, second 3 — open ("OPEN") (since the store opens no later than month 2, day 2, second 2 and closes no earlier than in month 6, day 6, second 6);
* month 10, day 10, second 10 — closed ("CLOSED") (since it is closed even in the month 9, day 9, second 9);
* month 8, day 8, second 8 — unknown ("UNKNOWN") (because the schedule in which the store is open at this moment exists, and the schedule in which the store is closed at this moment exists as well).
In the second test case, the store was closed and opened at the same time — contradiction ("INCORRECT").
|
[
{
"input": {
"stdin": "10 10 10 3 1 3\n2 6 2\n4 2 4\n6 4 6\n9 9 9\n3 3 3\n10 10 10\n8 8 8\n"
},
"output": {
"stdout": "CORRECT\nOPEN\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "10 10 10 1 1 1\n2 5 7\n2 5 7\n8 9 10\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "3 4 3 2 3 6\n2 2 2\n2 2 2\n2 3 2\n2 4 1\n1 3 3\n3 1 3\n1 3 1\n1 3 1\n3 3 3\n3 1 3\n1 1 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nCLOSED\nCLOSED\nCLOSED\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 3\n4 2 3\n3 3 3\n3 1 1\n5 2 3\n4 1 2\n5 1 2\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 7 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 3 6\n4 2 6\n4 2 6\n5 5 7\n2 5 3\n3 4 3\n6 2 1\n1 2 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "4 5 5 2 5 4\n2 3 3\n3 3 2\n3 2 2\n2 4 2\n3 1 5\n2 4 2\n3 4 3\n2 3 2\n2 5 1\n4 3 2\n3 3 2\n"
},
"output": {
"stdout": "CORRECT\nOPEN\nCLOSED\nUNKNOWN\nOPEN\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 3\n1 1 1\n5 1 2\n2 3 1\n4 2 3\n1 3 1\n3 2 1\n2 2 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nOPEN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 7 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 3 6\n4 2 6\n2 4 3\n7 4 2\n1 3 2\n7 5 2\n6 4 3\n6 4 5\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nCLOSED\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "5 5 6 2 6 4\n3 4 4\n3 4 4\n5 5 5\n3 4 2\n4 5 6\n3 2 4\n3 5 3\n3 5 2\n4 2 2\n3 4 4\n2 4 1\n1 2 1\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nOPEN\nCLOSED\nCLOSED\n"
}
},
{
"input": {
"stdin": "3 3 5 3 3 2\n2 2 2\n2 2 2\n2 2 3\n1 3 3\n2 2 4\n3 1 4\n1 1 4\n1 3 2\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nCLOSED\n"
}
},
{
"input": {
"stdin": "6 6 6 2 1 1\n1 1 1\n3 3 3\n4 3 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\n"
}
},
{
"input": {
"stdin": "1 1 1 1 0 1\n1 1 1\n1 1 1\n"
},
"output": {
"stdout": "CORRECT\nOPEN\n"
}
},
{
"input": {
"stdin": "7 4 5 5 1 5\n2 3 3\n2 3 3\n3 3 3\n2 3 3\n3 3 3\n4 3 3\n7 4 3\n5 4 2\n1 1 4\n5 2 1\n6 1 4\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nCLOSED\nUNKNOWN\nCLOSED\nCLOSED\n"
}
},
{
"input": {
"stdin": "10 10 10 3 1 3\n1 6 2\n4 2 4\n10 4 6\n9 9 9\n3 3 2\n10 10 10\n8 8 8\n"
},
"output": {
"stdout": "CORRECT\nOPEN\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "10 10 10 3 1 3\n1 6 2\n4 2 4\n6 4 6\n9 9 9\n3 3 3\n10 10 10\n8 8 8\n"
},
"output": {
"stdout": "CORRECT\nOPEN\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "10 10 10 1 1 1\n2 5 6\n2 5 7\n8 9 10\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 2 5\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n4 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 2\n4 2 3\n3 3 3\n3 1 1\n5 2 3\n4 1 4\n5 1 2\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 2\n4 2 3\n3 3 3\n3 1 1\n5 0 3\n4 1 4\n5 1 4\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 3\n4 2 3\n3 3 3\n3 1 1\n5 2 3\n4 1 4\n5 1 2\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 5 5 1 5\n2 3 3\n2 3 3\n3 3 3\n2 3 3\n3 3 3\n4 3 3\n7 4 3\n5 4 2\n1 1 4\n5 2 1\n6 1 4\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nCLOSED\nUNKNOWN\nCLOSED\nCLOSED\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 2\n4 2 3\n3 3 3\n3 1 1\n5 0 3\n4 1 4\n2 1 4\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 3 3\n4 2 2\n4 2 3\n3 3 3\n3 1 1\n5 0 3\n4 1 4\n2 1 4\n5 6 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 5 5 1 5\n2 3 3\n2 3 3\n3 3 3\n2 3 3\n3 3 3\n4 5 4\n7 4 3\n5 4 2\n1 1 2\n5 2 1\n6 1 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "6 11 6 2 1 1\n1 2 1\n3 3 3\n4 3 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\n"
}
},
{
"input": {
"stdin": "7 5 7 6 0 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 3 6\n4 4 6\n2 4 3\n7 4 2\n1 3 2\n5 5 2\n6 4 3\n6 5 5\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 3\n1 1 1\n5 1 2\n2 3 1\n4 2 3\n1 3 1\n3 2 1\n2 2 3\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nOPEN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 3 5\n4 3 6\n3 2 4\n4 1 6\n4 2 6\n4 2 3\n4 5 6\n2 5 4\n3 1 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nCLOSED\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "6 11 11 2 1 1\n1 2 1\n3 3 3\n10 3 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n5 5 7\n2 5 3\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 3 5\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n4 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "6 11 5 2 1 1\n1 2 1\n2 3 3\n10 6 4\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n4 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "6 6 6 2 1 1\n1 2 1\n3 3 3\n4 3 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\n"
}
},
{
"input": {
"stdin": "5 3 4 2 2 5\n4 2 3\n4 2 2\n4 2 3\n3 3 3\n3 1 1\n5 2 3\n4 1 4\n5 1 4\n5 3 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "6 11 11 2 1 1\n1 2 1\n3 3 3\n10 6 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "6 11 5 2 1 1\n1 2 1\n2 3 3\n10 6 4\n5 1 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n5 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 3 5\n4 3 6\n3 2 4\n4 1 6\n4 2 6\n4 2 3\n4 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nCLOSED\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "6 11 5 2 1 1\n1 2 1\n2 3 3\n10 6 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "5 5 6 2 6 4\n3 4 4\n3 4 4\n5 5 5\n3 4 2\n4 5 6\n3 2 4\n3 5 3\n3 5 4\n4 2 2\n3 4 4\n2 4 1\n1 2 1\n"
},
"output": {
"stdout": "CORRECT\nCLOSED\nOPEN\nCLOSED\nCLOSED\n"
}
},
{
"input": {
"stdin": "6 11 11 2 1 1\n1 2 1\n2 3 3\n10 6 3\n5 2 2\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "10 10 10 3 1 3\n1 6 2\n4 2 4\n10 4 6\n9 9 6\n3 3 2\n10 10 10\n8 8 8\n"
},
"output": {
"stdout": "CORRECT\nOPEN\nCLOSED\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 1 6\n4 2 6\n4 2 6\n5 5 7\n2 5 3\n3 4 3\n6 2 1\n1 2 2\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 3 5\n4 3 6\n3 2 4\n4 1 6\n4 2 6\n4 2 6\n4 5 7\n2 5 4\n3 4 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "INCORRECT\n"
}
},
{
"input": {
"stdin": "7 5 5 5 1 5\n2 3 3\n2 3 3\n3 3 3\n2 3 3\n3 3 3\n4 5 4\n7 4 3\n5 4 2\n1 1 4\n5 2 1\n6 1 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 7 6 0 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 3 6\n4 2 6\n2 4 3\n7 4 2\n1 3 2\n7 5 2\n6 4 3\n6 4 5\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 7 6 0 4\n3 2 6\n4 2 6\n4 3 6\n3 2 6\n4 3 6\n4 2 6\n2 4 3\n7 4 2\n1 3 2\n5 5 2\n6 4 3\n6 4 5\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\n"
}
},
{
"input": {
"stdin": "7 5 5 5 1 5\n2 3 3\n2 3 3\n3 3 3\n2 3 3\n3 3 3\n4 3 4\n7 4 3\n5 4 2\n1 1 4\n5 2 1\n6 1 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nUNKNOWN\nUNKNOWN\nUNKNOWN\nCLOSED\n"
}
},
{
"input": {
"stdin": "7 5 11 6 2 4\n3 2 6\n4 3 5\n4 3 6\n3 2 4\n4 1 6\n4 2 6\n4 2 3\n4 5 7\n2 5 4\n3 1 3\n6 2 1\n1 2 4\n"
},
"output": {
"stdout": "CORRECT\nUNKNOWN\nCLOSED\nCLOSED\nUNKNOWN\n"
}
}
] |
{
"tags": [
"data structures"
],
"title": "Store"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int MAXN = 100005;\ntemplate <typename T>\ninline void read(T &AKNOI) {\n T x = 0, flag = 1;\n char ch = getchar();\n while (!isdigit(ch)) {\n if (ch == '-') flag = -1;\n ch = getchar();\n }\n while (isdigit(ch)) {\n x = x * 10 + ch - '0';\n ch = getchar();\n }\n AKNOI = flag * x;\n}\ntemplate <typename T>\ninline void cmin(T &x, T y) {\n if (x > y) x = y;\n}\ntemplate <typename T>\ninline void cmax(T &x, T y) {\n if (x < y) x = y;\n}\nint n, m, q, curD, root;\nint b1[2][3], b2[2][3];\nstruct Node {\n int d[3], mn[3], mx[3], ch[3];\n inline void input() {\n for (int i = 0; i < 3; ++i) {\n read(d[i]);\n mn[i] = mx[i] = d[i];\n }\n }\n bool operator<(const Node &rhs) const { return d[curD] < rhs.d[curD]; }\n} p[MAXN];\ninline void up(int x, int y) {\n for (int i = 0; i < 3; ++i) {\n cmin(p[x].mn[i], p[y].mn[i]);\n cmax(p[x].mx[i], p[y].mx[i]);\n }\n}\ninline void pushup(int rt) {\n if (p[rt].ch[0]) up(rt, p[rt].ch[0]);\n if (p[rt].ch[1]) up(rt, p[rt].ch[1]);\n}\nint Build(int b, int e, int d) {\n if (b > e) return 0;\n int rt = (b + e) >> 1;\n curD = d;\n nth_element(p + b, p + rt, p + e + 1);\n p[rt].ch[0] = Build(b, rt - 1, (d + 1) % 3);\n p[rt].ch[1] = Build(rt + 1, e, (d + 1) % 3);\n pushup(rt);\n return rt;\n}\ninline bool out(int rt) {\n for (int i = 0; i < 3; ++i) {\n if (p[rt].mx[i] < b2[0][i] || b2[1][i] < p[rt].mn[i]) return 1;\n }\n return 0;\n}\ninline bool in(int rt) {\n for (int i = 0; i < 3; ++i) {\n if (p[rt].d[i] < b2[0][i] || b2[1][i] < p[rt].d[i]) return 0;\n }\n return 1;\n}\nint Query(int rt) {\n if (out(rt)) return 0;\n if (in(rt)) return 1;\n if (p[rt].ch[0] && Query(p[rt].ch[0])) return 1;\n if (p[rt].ch[1] && Query(p[rt].ch[1])) return 1;\n return 0;\n}\nvoid init() {\n read(n);\n read(n);\n read(n);\n read(n);\n read(m);\n read(q);\n memset(b1[0], 0x3f, sizeof(b1[0]));\n for (int i = 1, x; i <= n; ++i) {\n for (int j = 0; j < 3; ++j) {\n read(x);\n cmin(b1[0][j], x);\n cmax(b1[1][j], x);\n }\n }\n for (int i = 1; i <= m; ++i) {\n p[i].input();\n int chk = 0;\n for (int j = 0; j < 3; ++j) {\n chk += (b1[0][j] <= p[i].d[j] && p[i].d[j] <= b1[1][j]);\n }\n if (chk == 3) {\n puts(\"INCORRECT\");\n exit(0);\n }\n }\n root = Build(1, m, 0);\n}\nvoid solve() {\n puts(\"CORRECT\");\n while (q--) {\n bool in = 1;\n for (int i = 0; i < 3; ++i) {\n int x;\n read(x);\n b2[0][i] = min(x, b1[0][i]);\n b2[1][i] = max(x, b1[1][i]);\n in &= (b1[0][i] <= x && x <= b1[1][i]);\n }\n if (in)\n puts(\"OPEN\");\n else if (Query(root))\n puts(\"CLOSED\");\n else\n puts(\"UNKNOWN\");\n }\n}\nint main() {\n init();\n solve();\n return 0;\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.Collection;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.util.ArrayList;\nimport java.util.StringTokenizer;\nimport java.io.BufferedReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author kessido\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n EStore solver = new EStore();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class EStore {\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n int[] maxs = in.NextIntArray(3);\n int n = in.NextInt();\n int m = in.NextInt();\n int k = in.NextInt();\n Box box = new Box(maxs);\n for (int i = 0; i < n; i++) {\n box.addPoint(in.NextIntArray(3));\n }\n int[][] pointsOutside = in.NextIntMatrix(m, 3);\n for (int[] p : pointsOutside) {\n if (box.isInside(p)) {\n out.println(\"INCORRECT\");\n return;\n }\n }\n int[][] maxBox = new int[3][2];\n for (int i = 0; i < 3; i++) {\n maxBox[i][1] = maxs[i];\n }\n Oct3Tree octtree = new Oct3Tree(Arrays.asList(pointsOutside));\n out.println(\"CORRECT\");\n int[][] queryBox = new int[3][2];\n for (int i = 0; i < k; i++) {\n int[] p = in.NextIntArray(3);\n if (box.isInside(p)) {\n out.println(\"OPEN\");\n continue;\n }\n for (int j = 0; j < 3; j++) {\n queryBox[j][0] = box.box[j][0];\n queryBox[j][1] = box.box[j][1];\n queryBox[j][0] = Math.min(queryBox[j][0], p[j]);\n queryBox[j][1] = Math.max(queryBox[j][1], p[j]);\n }\n\n boolean hasInRange = octtree.hasInRange(queryBox);\n if (!hasInRange) {\n out.println(\"UNKNOWN\");\n } else {\n out.println(\"CLOSED\");\n }\n }\n\n }\n\n class Box {\n int[][] box = new int[3][2];\n\n public Box(int[] max) {\n for (int i = 0; i < 3; i++) {\n box[i][0] = max[i];\n }\n }\n\n public Box(Box box) {\n for (int i = 0; i < 3; i++) {\n for (int j = 0; j < 2; j++) {\n this.box[i][j] = box.box[i][j];\n }\n }\n }\n\n public void addPoint(int[] p) {\n for (int i = 0; i < 3; i++) {\n box[i][0] = Math.min(box[i][0], p[i]);\n box[i][1] = Math.max(box[i][1], p[i]);\n }\n }\n\n public boolean isInside(int[] p) {\n for (int i = 0; i < 3; i++) {\n if (!(box[i][0] <= p[i] && p[i] <= box[i][1])) {\n return false;\n }\n }\n return true;\n }\n\n\n public Box clone() {\n return new Box(this);\n }\n\n }\n\n }\n\n static interface IDTreeInt {\n }\n\n static interface IPersistenceDTreeInt extends IDTreeInt {\n }\n\n static class InputReader {\n BufferedReader reader;\n StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream), 32768);\n tokenizer = null;\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine(), \" \\t\\n\\r\\f,\");\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n\n public int NextInt() {\n return Integer.parseInt(next());\n }\n\n public int[] NextIntArray(int n) {\n return NextIntArray(n, 0);\n }\n\n public int[] NextIntArray(int n, int offset) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = NextInt() + offset;\n }\n return a;\n }\n\n public int[][] NextIntMatrix(int n, int m) {\n return NextIntMatrix(n, m, 0);\n }\n\n public int[][] NextIntMatrix(int n, int m, int offset) {\n int[][] a = new int[n][m];\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n a[i][j] = NextInt() + offset;\n }\n }\n return a;\n }\n\n }\n\n static class Oct3Tree implements IDTreeInt, IPersistenceDTreeInt {\n int[][] box = new int[3][3];\n int count;\n Oct3Tree[] children = new Oct3Tree[8];\n\n public Oct3Tree(Collection<int[]> points) {\n //Using this constructor imply no update!!\n count = points.size();\n for (int i = 0; i < 3; i++) {\n box[i][0] = Integer.MAX_VALUE;\n box[i][2] = Integer.MIN_VALUE;\n }\n for (int[] p : points) {\n for (int i = 0; i < 3; i++) {\n box[i][0] = Math.min(box[i][0], p[i]);\n box[i][2] = Math.max(box[i][2], p[i]);\n }\n }\n if (!needToSplit()) return;\n ArrayList[] pointDivision = new ArrayList[8];\n for (int i = 0; i < 8; i++)\n pointDivision[i] = new ArrayList();\n for (int[] p : points) {\n pointDivision[getPointIndex(p)].add(p);\n }\n for (int i = 0; i < 8; i++) {\n if (pointDivision[i].size() != 0) {\n children[i] = new Oct3Tree(pointDivision[i]);\n }\n }\n }\n\n public Oct3Tree(Oct3Tree octTree) {\n this.box = octTree.box;\n this.count = octTree.count;\n this.children = octTree.children;\n }\n\n private boolean needToSplit() {\n boolean needToSplit = false;\n for (int i = 0; i < 3; i++) {\n box[i][1] = (box[i][0] + box[i][2]) / 2;\n needToSplit |= box[i][0] != box[i][2];\n }\n return needToSplit;\n }\n\n public Oct3Tree(int[][] box) {\n for (int i = 0; i < 3; i++) {\n this.box[i][0] = box[i][0];\n this.box[i][2] = box[i][1];\n this.box[i][1] = (this.box[i][0] + this.box[i][2]) / 2;\n }\n this.count = 0;\n }\n\n private int getPointIndex(int[] p) {\n int res = 0;\n for (int i = 0; i < 3; i++) {\n if (p[i] > box[i][1]) {\n res |= 1 << i;\n }\n }\n return res;\n }\n\n private boolean completelyInside(int[][] boxQuery) {\n for (int i = 0; i < 3; i++) {\n if (!(boxQuery[i][0] <= box[i][0] && box[i][2] <= boxQuery[i][1])) {\n return false;\n }\n }\n return true;\n }\n\n private boolean someIntersection(int[][] boxQuery) {\n for (int i = 0; i < 3; i++) {\n if (boxQuery[i][0] > box[i][2] || box[i][0] > boxQuery[i][1]) {\n return false;\n }\n }\n return true;\n }\n\n\n public boolean hasInRange(int[][] boxQuery) {\n if (completelyInside(boxQuery))\n return count != 0;\n else if (someIntersection(boxQuery))\n return hasInChildrenRange(boxQuery);\n else\n return false;\n\n }\n\n private boolean hasInChildrenRange(int[][] boxQuery) {\n for (int i = 0; i < 8; i++) {\n if (children[i] != null) {\n if (children[i].hasInRange(boxQuery)) {\n return true;\n }\n }\n }\n return false;\n }\n\n }\n}\n\n",
"python": null
}
|
|
|
# Little C Loves 3 III
Little C loves number «3» very much. He loves all things about it.
Now he is interested in the following problem:
There are two arrays of 2^n intergers a_0,a_1,...,a_{2^n-1} and b_0,b_1,...,b_{2^n-1}.
The task is for each i (0 ≤ i ≤ 2^n-1), to calculate c_i=∑ a_j ⋅ b_k (j|k=i and j\&k=0, where "|" denotes [bitwise or operation](https://en.wikipedia.org/wiki/Bitwise_operation#OR) and "\&" denotes [bitwise and operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND)).
It's amazing that it can be proved that there are exactly 3^n triples (i,j,k), such that j|k=i, j\&k=0 and 0 ≤ i,j,k ≤ 2^n-1. So Little C wants to solve this excellent problem (because it's well related to 3) excellently.
Help him calculate all c_i. Little C loves 3 very much, so he only want to know each c_i \& 3.
Input
The first line contains one integer n (0 ≤ n ≤ 21).
The second line contains 2^n integers in [0,3] without spaces — the i-th of them is a_{i-1}.
The third line contains 2^n integers in [0,3] without spaces — the i-th of them is b_{i-1}.
Output
Print one line contains 2^n integers in [0,3] without spaces — the i-th of them is c_{i-1}\&3. (It's obvious that c_{i}\&3 is in [0,3]).
Examples
Input
1
11
11
Output
12
Input
2
0123
3210
Output
0322
|
[
{
"input": {
"stdin": "1\n11\n11\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "2\n0123\n3210\n"
},
"output": {
"stdout": "0322"
}
},
{
"input": {
"stdin": "2\n2123\n0323\n"
},
"output": {
"stdout": "0202"
}
},
{
"input": {
"stdin": "3\n13032210\n30200033\n"
},
"output": {
"stdout": "31232220"
}
},
{
"input": {
"stdin": "0\n1\n3\n"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "5\n31100222022202301301213232031130\n03003331212132200001002021322103\n"
},
"output": {
"stdout": "01031003210013310303321001132231"
}
},
{
"input": {
"stdin": "0\n0\n0\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "0\n2\n0\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "0\n0\n1\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1\n12\n10\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "1\n13\n13\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "0\n2\n2\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "0\n3\n2\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "0\n3\n1\n"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "0\n1\n2\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "1\n11\n20\n"
},
"output": {
"stdout": "22"
}
},
{
"input": {
"stdin": "1\n12\n11\n"
},
"output": {
"stdout": "13"
}
},
{
"input": {
"stdin": "0\n2\n1\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "1\n12\n13\n"
},
"output": {
"stdout": "11"
}
},
{
"input": {
"stdin": "0\n0\n2\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "0\n3\n3\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "0\n2\n3\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "0\n1\n1\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "0\n1\n0\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "0\n0\n3\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1\n11\n12\n"
},
"output": {
"stdout": "13"
}
}
] |
{
"tags": [
"bitmasks",
"dp",
"math"
],
"title": "Little C Loves 3 III"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n ios::sync_with_stdio(0);\n cin.tie(0);\n int n;\n cin >> n;\n string a, b;\n cin >> a >> b;\n vector<long long> c(1 << n), d(1 << n);\n for (int i = 0; i < 1 << n; ++i) {\n c[i] = (a[i] - '0') * (1ll << (__builtin_popcount(i) << 1));\n d[i] = (b[i] - '0') * (1ll << (__builtin_popcount(i) << 1));\n }\n for (int i = 1; i < 1 << n; i <<= 1) {\n for (int j = 0; j < 1 << n; j += i << 1) {\n for (int k = 0; k < i; ++k) {\n c[j + k + i] += c[j + k];\n d[j + k + i] += d[j + k];\n }\n }\n }\n for (int i = 0; i < 1 << n; ++i) {\n c[i] = c[i] * d[i];\n }\n for (int i = 1; i < 1 << n; i <<= 1) {\n for (int j = 0; j < 1 << n; j += i << 1) {\n for (int k = 0; k < i; ++k) {\n c[j + k + i] -= c[j + k];\n }\n }\n }\n for (int i = 0; i < 1 << n; ++i) {\n putchar((c[i] >> (__builtin_popcount(i) << 1) & 3) + '0');\n }\n putchar(10);\n return 0;\n}\n",
"java": null,
"python": null
}
|
|
|
# DDoS
We get more and more news about DDoS-attacks of popular websites.
Arseny is an admin and he thinks that a website is under a DDoS-attack if the total number of requests for a some period of time exceeds 100 ⋅ t, where t — the number of seconds in this time segment.
Arseny knows statistics on the number of requests per second since the server is booted. He knows the sequence r_1, r_2, ..., r_n, where r_i — the number of requests in the i-th second after boot.
Determine the length of the longest continuous period of time, which Arseny considers to be a DDoS-attack. A seeking time period should not go beyond the boundaries of the segment [1, n].
Input
The first line contains n (1 ≤ n ≤ 5000) — number of seconds since server has been booted. The second line contains sequence of integers r_1, r_2, ..., r_n (0 ≤ r_i ≤ 5000), r_i — number of requests in the i-th second.
Output
Print the only integer number — the length of the longest time period which is considered to be a DDoS-attack by Arseny. If it doesn't exist print 0.
Examples
Input
5
100 200 1 1 1
Output
3
Input
5
1 2 3 4 5
Output
0
Input
2
101 99
Output
1
|
[
{
"input": {
"stdin": "5\n100 200 1 1 1\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n1 2 3 4 5\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2\n101 99\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4657\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4660\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4669\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n101\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4673\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "40\n81 222 69 50 73 51 78 94 17 69 17 54 13 59 44 291 3 67 293 32 7 155 29 49 170 69 72 56 62 94 34 194 58 32 42 27 46 56 8 46\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "1\n4664\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n87 56 98 29 1 51 101 7 56 65 76 31 7 24 42 42 49 43 7 94 40 19 90 36 37 83 3 13 16 0 80 61 8 12 68 261 28 61 30 57 74 13 47 38 22 71 19 7 6 19 81 9 35 8 42 80 34 6 57 21 120 36 20 85 11 2 39 72 36 210 44 72 58 97 155 71 110 89 86 83 54 82 65 55 75 95 15 84 3 48 28 98 31 83 58 270 193 13 99 65\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "10\n33 202 11 64 5 295 34 25 89 50\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "10\n58 10 43 61 64 6 39 199 46 29\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "100\n23 92 34 28 215 18 48 18 72 20 118 62 32 26 20 138 32 78 31 8 30 75 18 16 25 22 56 44 97 36 89 1 61 156 296 56 7 98 51 72 38 74 19 15 75 77 239 72 69 15 62 7 27 93 48 299 25 79 33 52 103 12 71 14 24 25 83 74 46 80 151 61 33 270 2 281 28 56 92 7 46 47 227 34 89 77 85 29 63 62 292 21 59 82 35 19 27 43 81 8\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "1\n4672\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4675\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "30\n67 3 99 36 53 9 17 55 63 7 42 3 42 10 67 97 65 266 65 17 52 76 17 47 269 159 24 12 64 40\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "3\n150 1 150\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "100\n102 0 87 79 84 62 74 66 0 16 24 67 11 42 33 67 61 81 31 79 105 87 23 13 27 51 90 93 81 70 96 34 74 28 9 41 241 79 11 41 182 68 78 55 19 52 30 33 66 41 5 94 204 67 24 78 80 178 41 266 8 242 65 2 38 28 16 61 150 97 87 87 65 55 11 37 85 62 55 36 94 68 41 86 53 84 66 60 37 8 43 87 182 5 76 97 51 27 53 37\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "3\n101 99 101\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "1\n4659\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n70 111 5 73 69 22 79 62 101 99 249 88 75 31 27 49 7 36 37 62 61 77 75 38 203 61 81 43 98 224 114 48 98 8 67 46 80 83 81 64 15 72 95 39 79 93 79 140 27 65 67 44 294 170 89 97 73 48 18 53 31 49 47 13 88 70 5 46 256 81 26 9 89 38 43 28 219 30 10 71 96 95 241 96 98 96 82 29 219 85 52 34 54 74 86 66 71 10 224 48\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "100\n50 56 71 73 46 29 46 77 3 59 85 14 13 9 44 33 186 56 240 51 95 39 91 83 48 33 40 94 30 4 91 36 68 64 6 45 84 87 98 90 34 29 25 74 52 54 17 35 41 177 92 53 31 26 94 89 94 94 98 56 68 11 24 53 81 59 52 36 49 14 89 56 6 132 14 71 49 201 97 75 86 20 61 24 2 14 15 56 69 10 88 38 91 258 35 38 90 57 51 142\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "1\n4676\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n46 46 59 0 207 29 58 56 35 43 80 26 20 199 51 200 59 73 83 62 78 37 81 44 12 193 20 55 188 34 22 59 122 80 60 47 265 29 8 49 63 2 220 283 73 3 69 30 30 23 41 47 95 58 9 79 74 65 21 61 90 11 96 21 80 242 84 9 43 90 69 108 241 21 80 148 7 76 66 6 79 99 25 71 89 80 58 17 154 84 38 29 74 257 193 39 95 91 8 23\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "1\n41\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "20\n46 291 21 20 60 47 47 43 243 78 75 44 41 54 11 79 47 93 268 3\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "2\n5000 99\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "100\n84 48 28 34 51 82 90 98 52 207 68 64 91 60 44 178 81 25 1 29 4 94 0 78 202 84 65 38 51 69 91 68 4 74 21 62 28 20 5 99 80 12 44 61 68 72 21 31 90 24 16 17 22 61 47 95 11 9 85 90 16 40 81 28 262 2 27 31 153 82 99 0 6 30 31 17 46 56 23 80 94 13 242 36 97 41 279 59 54 45 96 89 69 28 95 87 30 60 90 24\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "100\n3 43 79 29 23 78 24 93 85 4 16 73 80 7 53 13 63 1 98 43 11 25 33 99 23 0 42 19 31 13 1 88 77 8 75 173 77 13 87 85 37 44 79 64 27 22 6 88 80 12 81 108 12 96 121 44 29 89 161 55 28 93 41 40 51 0 47 17 6 30 99 89 42 186 29 0 32 219 53 58 24 1 51 256 22 29 13 23 82 73 96 262 10 71 99 48 54 58 67 11\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "3\n101 1 199\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "1\n4654\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4653\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2\n1 103\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4658\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4668\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2\n300 0\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n4663\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n75 163 55 76 211 11 15 43 57 235 53 2 208 49 87 95 60 296 62 151 36 55 14 64 16 30 74 92 81 287 19 41 16 14 7 29 94 87 84 93 70 23 47 66 82 93 76 53 23 94 0 96 82 23 52 9 17 98 88 74 62 33 12 55 78 94 6 70 59 7 126 98 51 97 3 273 75 53 78 10 89 13 198 33 94 283 34 10 75 88 73 67 41 19 75 60 38 24 94 2\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "1\n4671\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2\n1 91\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1\n4677\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4670\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2\n200 200\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n4667\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n214 96 67 98 4 61 1 82 1 31 98 49 32 60 4 33 80 95 78 33 20 13 35 82 25 240 85 42 239 74 19 17 22 83 14 99 169 223 52 90 32 62 19 50 86 86 31 74 25 3 85 36 71 188 77 4 42 256 34 67 81 91 11 94 58 77 21 26 80 25 65 78 37 40 62 97 29 48 77 45 18 19 151 80 123 43 94 63 279 50 182 27 83 53 91 48 230 91 141 162\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "1\n4666\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4674\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10\n155 9 196 23 79 89 25 194 86 57\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "1\n4656\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1\n4655\n"
},
"output": {
"stdout": "1\n"
}
}
] |
{
"tags": [
"*special",
"brute force"
],
"title": "DDoS"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstatic const int _ = []() {\n ios::sync_with_stdio(false);\n cin.sync_with_stdio(false);\n cout.sync_with_stdio(false);\n cin.tie(nullptr);\n cout.tie(nullptr);\n return 0;\n}();\ntemplate <class T>\ninline vector<T> rv(long long n) {\n vector<T> v(n);\n for (long long i = 0; i < (n); i++) cin >> v[i];\n return v;\n}\ntemplate <class T>\ninline void pv(const vector<T>& v) {\n for (long long i = 0; i < (v.size()); i++) cout << v[i] << \" \";\n cout << endl;\n}\ntemplate <class T>\ninline void amax(T& a, const T& b) {\n if (a < b) a = b;\n}\ntemplate <class T>\ninline void amin(T& a, const T& b) {\n if (a > b) a = b;\n}\nconst long long MOD = 1e9 + 7;\nconst long long MOD1 = 998244353;\nstruct custom_hash {\n static uint64_t splitmix64(uint64_t x) {\n x += 0x9e3779b97f4a7c15;\n x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;\n x = (x ^ (x >> 27)) * 0x94d049bb133111eb;\n return x ^ (x >> 31);\n }\n size_t operator()(uint64_t x) const {\n static const uint64_t FIXED_RANDOM =\n chrono::steady_clock::now().time_since_epoch().count();\n return splitmix64(x + FIXED_RANDOM);\n }\n};\nstruct Rd {\n template <typename T>\n Rd& operator>>(T& n) {\n cin >> n;\n return *this;\n }\n template <typename T>\n Rd& operator>>(vector<T>& v) {\n for (long long i = 0; i < v.size(); i++) {\n cin >> v[i];\n }\n return *this;\n }\n template <typename T, typename U>\n Rd& operator>>(vector<pair<T, U>>& v) {\n for (long long i = 0; i < v.size(); i++) {\n cin >> v[i].first >> v[i].second;\n }\n return *this;\n }\n template <typename T>\n Rd& operator>>(vector<vector<T>>& v) {\n for (long long i = 0; i < v.size(); i++) {\n for (long long j = 0; j < v[i].size(); j++) {\n cin >> v[i][j];\n }\n }\n return *this;\n }\n} rd;\nint main() {\n long long n;\n cin >> n;\n vector<long long> a(n);\n for (long long i = 0; i < (n); i++) cin >> a[i];\n long long best = 0;\n for (long long i = 0; i < (n); i++) {\n long long sum = 0;\n for (long long j = i; j < n; j++) {\n sum += a[j];\n if (sum > (j - i + 1) * 100) amax(best, j - i + 1);\n }\n }\n cout << best << endl;\n return 0;\n}\n",
"java": "//codeforces_1057B\n\nimport java.io.*;\nimport java.util.*;\nimport java.util.regex.Matcher;\nimport java.util.regex.Pattern;\nimport static java.lang.Math.*;\nimport java.math.*;\n\npublic class Main{\n\n\tstatic PrintWriter go = new PrintWriter(System.out);\n\n\tpublic static void main(String args[]) throws IOException,FileNotFoundException {\n\t\tBufferedReader gi = new BufferedReader(new InputStreamReader(System.in));\n\t\tint n = Integer.parseInt(gi.readLine());\n\t\tint[] l = parseArray(gi);\n\t\tlong[] prefix = new long[n];\n\t\tprefix[0] = l[0];\n\t\tfor ( int k = 1; k < n; k++){\n\t\t\tprefix[k] = prefix[k-1] + l[k];\n\t\t}\n\t\tint ans = 0;\n\t\tfor ( int k = 0; k < n; k++){\n\t\t\tfor ( int j = k; j < n; j++){\n\t\t\t\tif ( (prefix[j] - (k == 0? 0:prefix[k-1])) > 100*(j-k+1) ){\n\t\t\t\t\tans = max(ans,j-k+1);\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tgo.println(ans);\n\n\t\tgo.close();\n\t}\n\n\tstatic int[] parseArray(BufferedReader gi) throws IOException{\n\t\tString[] line = gi.readLine().trim().split(\" \");\n\t\tint[] rez = new int[line.length];\n\t\tfor ( int k = 0; k < line.length; k++){\n\t\t\trez[k] = Integer.parseInt(line[k]);\n\t\t}\n\t\treturn rez;\n\t}\n\n}\n",
"python": "n = int(input())\nreq = list(map(int, input().split()))\n\npref = [req[0]]\nfor i in range(1, n):\n pref.append(pref[-1]+req[i])\n\nans = 0\nfor i in range(n):\n for j in range(i, n):\n if i == 0:\n requests = pref[j]\n else:\n requests = pref[j] - pref[i-1]\n\n # print(f'Requests from {i} to {j}: {requests}')\n\n if requests > 100 * (j-i+1):\n # print(f\"DDOS from {i} to {j}\")\n ans = max(ans, j-i+1)\n\nprint(ans)\n"
}
|
|
|
# Petya and Origami
Petya is having a party soon, and he has decided to invite his n friends.
He wants to make invitations in the form of origami. For each invitation, he needs two red sheets, five green sheets, and eight blue sheets. The store sells an infinite number of notebooks of each color, but each notebook consists of only one color with k sheets. That is, each notebook contains k sheets of either red, green, or blue.
Find the minimum number of notebooks that Petya needs to buy to invite all n of his friends.
Input
The first line contains two integers n and k (1≤ n, k≤ 10^8) — the number of Petya's friends and the number of sheets in each notebook respectively.
Output
Print one number — the minimum number of notebooks that Petya needs to buy.
Examples
Input
3 5
Output
10
Input
15 6
Output
38
Note
In the first example, we need 2 red notebooks, 3 green notebooks, and 5 blue notebooks.
In the second example, we need 5 red notebooks, 13 green notebooks, and 20 blue notebooks.
|
[
{
"input": {
"stdin": "3 5\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "15 6\n"
},
"output": {
"stdout": "38\n"
}
},
{
"input": {
"stdin": "30931310 20\n"
},
"output": {
"stdout": "23198483\n"
}
},
{
"input": {
"stdin": "51400703 5644\n"
},
"output": {
"stdout": "136609\n"
}
},
{
"input": {
"stdin": "96865066 63740710\n"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "75431019 54776881\n"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "64345128 22\n"
},
"output": {
"stdout": "43871680\n"
}
},
{
"input": {
"stdin": "98979868 1\n"
},
"output": {
"stdout": "1484698020\n"
}
},
{
"input": {
"stdin": "53904449 44920372\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "99784030 7525\n"
},
"output": {
"stdout": "198906\n"
}
},
{
"input": {
"stdin": "1 100000000\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "90201151 4851\n"
},
"output": {
"stdout": "278916\n"
}
},
{
"input": {
"stdin": "92314891 81228036\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "58064619 65614207\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "100000000 1\n"
},
"output": {
"stdout": "1500000000\n"
}
},
{
"input": {
"stdin": "73317279 991\n"
},
"output": {
"stdout": "1109749\n"
}
},
{
"input": {
"stdin": "47461256 62\n"
},
"output": {
"stdout": "11482564\n"
}
},
{
"input": {
"stdin": "92130862 5\n"
},
"output": {
"stdout": "276392587\n"
}
},
{
"input": {
"stdin": "48481739 28325725\n"
},
"output": {
"stdout": "27\n"
}
},
{
"input": {
"stdin": "14231467 12711896\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "31115339 39163052\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "29484127 4488\n"
},
"output": {
"stdout": "98545\n"
}
},
{
"input": {
"stdin": "75246990 49\n"
},
"output": {
"stdout": "23034794\n"
}
},
{
"input": {
"stdin": "72834750 9473\n"
},
"output": {
"stdout": "115332\n"
}
},
{
"input": {
"stdin": "1 4\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "57880590 64\n"
},
"output": {
"stdout": "13565765\n"
}
},
{
"input": {
"stdin": "20511976 7\n"
},
"output": {
"stdout": "43954236\n"
}
},
{
"input": {
"stdin": "34034303 7162\n"
},
"output": {
"stdout": "71283\n"
}
},
{
"input": {
"stdin": "55950878 8318\n"
},
"output": {
"stdout": "100898\n"
}
},
{
"input": {
"stdin": "14047438 64\n"
},
"output": {
"stdout": "3292370\n"
}
},
{
"input": {
"stdin": "17150431 3302\n"
},
"output": {
"stdout": "77910\n"
}
},
{
"input": {
"stdin": "100000000 3\n"
},
"output": {
"stdout": "500000001\n"
}
},
{
"input": {
"stdin": "1 1\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "86261704 74\n"
},
"output": {
"stdout": "17485482\n"
}
},
{
"input": {
"stdin": "4 5\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "103616972 10575\n"
},
"output": {
"stdout": "146976\n"
}
},
{
"input": {
"stdin": "25414526 39163052\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "55950878 7840\n"
},
"output": {
"stdout": "107050\n"
}
},
{
"input": {
"stdin": "37473715 53176588\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "17018712 4084\n"
},
"output": {
"stdout": "62509\n"
}
},
{
"input": {
"stdin": "29484127 5734\n"
},
"output": {
"stdout": "77130\n"
}
},
{
"input": {
"stdin": "9230003 3302\n"
},
"output": {
"stdout": "41931\n"
}
},
{
"input": {
"stdin": "47659635 54776881\n"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "9230003 1245\n"
},
"output": {
"stdout": "111207\n"
}
},
{
"input": {
"stdin": "1 5\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "63104998 26516235\n"
},
"output": {
"stdout": "37\n"
}
},
{
"input": {
"stdin": "118364806 847\n"
},
"output": {
"stdout": "2096190\n"
}
},
{
"input": {
"stdin": "2 100000000\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "63521620 65614207\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "92130862 8\n"
},
"output": {
"stdout": "172745367\n"
}
}
] |
{
"tags": [
"math"
],
"title": "Petya and Origami"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long fun(long long a, long long b) {\n long long ans = a / b;\n if (a % b != 0) ans++;\n return ans;\n}\nvoid main1(int tc) {\n long long n, k;\n cin >> n >> k;\n long long a = 2 * n, b = 5 * n, c = 8 * n;\n cout << fun(a, k) + fun(b, k) + fun(c, k);\n}\nint main() {\n bool multipleTC = false;\n if (multipleTC) {\n int t, i;\n cin >> t;\n for ((i) = 0; (i) < (t); (i)++) main1(i);\n } else {\n main1(0);\n }\n return 0;\n}\n",
"java": "\n\nimport java.util.Scanner;\n\npublic class Q524A {\n public static void main(String[] args) {\n Scanner s = new Scanner(System.in);\n int n = s.nextInt();\n int k = s.nextInt();\n\n double ans = (2.00*n)/k;\n double ans2 = (5.00*n)/k;\n double ans3 = (8.00*n)/k;\n\n if(ans-(long)ans!=0.00){\n ans=(long)ans +1;\n }\n if(ans2-(long)ans2!=0.00){\n ans2=(long)ans2 +1;\n }\n if(ans3-(long)ans3!=0.00){\n ans3=(long)ans3 +1;\n }\n\n ans = ans+ ans2+ans3;\n System.out.println((long)ans);\n }\n}\n",
"python": "def cards(a):\n f, books = a[0], a[1]\n r = f*2\n g = f*5\n b = f*8\n pr = 0\n #RED\n if r % books != 0:\n pr += ((r//books)+1)\n else:\n pr += (r//books)\n # Green \n if g % books != 0:\n pr += ((g//books)+1)\n else:\n pr += (g//books)\n # BLUE\n if b % books != 0:\n pr += ((b//books)+1)\n else:\n pr += (b//books)\n return pr\n \nnn = list(map(int, input().split()))\nprint(cards(nn))"
}
|
|
|
# Lucky Interval
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
One day Petya came across an interval of numbers [a, a + l - 1]. Let F(x) be the number of lucky digits of number x. Find the minimum b (a < b) such, that F(a) = F(b), F(a + 1) = F(b + 1), ..., F(a + l - 1) = F(b + l - 1).
Input
The single line contains two integers a and l (1 ≤ a, l ≤ 109) — the interval's first number and the interval's length correspondingly.
Output
On the single line print number b — the answer to the problem.
Examples
Input
7 4
Output
17
Input
4 7
Output
14
Note
Consider that [a, b] denotes an interval of integers; this interval includes the boundaries. That is, <image>
|
[
{
"input": {
"stdin": "7 4\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "4 7\n"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "1 1000000000\n"
},
"output": {
"stdout": "1000000001\n"
}
},
{
"input": {
"stdin": "1000000000 47\n"
},
"output": {
"stdout": "1000000100\n"
}
},
{
"input": {
"stdin": "699999999 5\n"
},
"output": {
"stdout": "800000039\n"
}
},
{
"input": {
"stdin": "500000000 500000000\n"
},
"output": {
"stdout": "1200000000\n"
}
},
{
"input": {
"stdin": "100 1\n"
},
"output": {
"stdout": "101\n"
}
},
{
"input": {
"stdin": "85474999 1000000000\n"
},
"output": {
"stdout": "1085474999\n"
}
},
{
"input": {
"stdin": "46996 2\n"
},
"output": {
"stdout": "46999\n"
}
},
{
"input": {
"stdin": "4699999 1000000000\n"
},
"output": {
"stdout": "1004699999\n"
}
},
{
"input": {
"stdin": "9999 107545\n"
},
"output": {
"stdout": "109999\n"
}
},
{
"input": {
"stdin": "700000000 1000000000\n"
},
"output": {
"stdout": "1700000000\n"
}
},
{
"input": {
"stdin": "73999999 78\n"
},
"output": {
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}
] |
{
"tags": [
"brute force",
"math"
],
"title": "Lucky Interval"
}
|
{
"cpp": "#include <bits/stdc++.h>\nint f[11][3][19][4];\nint n, k, dig_a[20], aadd;\nint typ[10] = {2, 2, 2, 1, 0, 2, 1, 0, 2, 2};\nint ten[10] = {1, 10, 100, 1000, 10000,\n 100000, 1000000, 10000000, 100000000, 1000000000};\nvoid turn(int i, int j, int p, int q, int d) {\n int v = f[i][j][p][q] + d * ten[i];\n if (i == 9 && d != 0) return;\n i++;\n if (dig_a[i] > d)\n j = 2;\n else if (dig_a[i] < d)\n j = 0;\n p += ((dig_a[i]) == 4 || (dig_a[i]) == 7) - ((d) == 4 || (d) == 7);\n if (q == 3 && d != 9) q = typ[d];\n if (v < f[i][j][p][q]) f[i][j][p][q] = v;\n}\nchar dd[22];\nint main() {\n int i, j, p, q, r, d, len, ldd = 0, var = 0, _n, x, y, pp,\n ans = 0x3f3f3f3f << 1;\n scanf(\"%d %d\", &n, &k);\n while (k >= 10) {\n r = dd[ldd++] = n % 10 + 48;\n k = (n + k - 1) / 10;\n n /= 10;\n r -= 48;\n k -= n - 1;\n }\n dd[ldd] = 0;\n memset(dig_a, 0, sizeof dig_a);\n for (len = 0, _n = n; _n; _n /= 10) dig_a[len++] = _n % 10;\n if (len == 0) len = 1;\n for (pp = 0, _n = (n / 10); _n; _n /= 10)\n pp -= ((_n % 10) == 4 || (_n % 10) == 7);\n for (_n = (n / 10) + 1; _n; _n /= 10)\n pp += ((_n % 10) == 4 || (_n % 10) == 7);\n memset(f, 0x3f, sizeof f);\n f[0][1][9][3] = 0;\n for (i = 0; i < len; i++)\n for (j = 0; j < 3; j++)\n for (p = 0; p <= 18; p++)\n for (q = 0; q < 4; q++)\n if (f[i][j][p][q] < 0x3f3f3f3f)\n for (d = 0; d < 10; d++) turn(i, j, p, q, d);\n for (x = n % 10, y = 0; y < 10; y++)\n for (j = 0; j < 2; j++)\n if (j == 0 || y > x) {\n p = 9 + ((y) == 4 || (y) == 7) - ((x) == 4 || (x) == 7);\n for (q = 0; q < 4; q++)\n if (f[len][j][p][q] <= 200000000 && f[len][j][p][q] * 10 + y < ans) {\n for (i = 0; i < k; i++) {\n d = p - 9;\n if (x + i > 9) d += pp;\n if (y + i > 9) d -= (q == 0 ? -1 : (q == 1));\n d += (((x + i) % 10) == 4 || ((x + i) % 10) == 7) -\n (((y + i) % 10) == 4 || ((y + i) % 10) == 7);\n if (d) break;\n }\n if (i == k) ans = f[len][j][p][q] * 10 + y;\n }\n }\n printf(\"%d\", ans);\n for (; ldd; ldd--) putchar(dd[ldd - 1]);\n putchar('\\n');\n return 0;\n}\n",
"java": "\nimport java.util.*;\nimport static java.lang.Math.*;\nimport static java.util.Arrays.*;\npublic class Main {\n public static void main(String[]args){\n new Main().run();\n }\n void run(){\n Scanner sc=new Scanner(System.in);\n long a=sc.nextLong(),l=sc.nextLong()-1;\n long res=func(a,l);\n System.out.println(res);\n }\n private long func(long a,long l){// [a,a+l]\n if(l>20){\n return a%10 + func(a/10,l/10 + (a%10+l%10)/10)*10;\n }\n int[] cnt=new int[(int)(l+1)];\n for (int i = 0; i<l+1; i++){\n cnt[i]=lucky(a+i);\n }\n return func2(a+1,cnt);\n }\n private int lucky(long l) {\n int res=0;\n while(l>0){\n if(l%10==4||l%10==7)res++;\n l/=10;\n }\n return res;\n }\n long INF=1L<<58;\n class E{\n long min;\n int[] cnt;\n E(long min,int[] cnt){\n this.min=min;\n this.cnt=cnt;\n }\n\n @Override\n public boolean equals(Object obj) {\n if (obj==null) return false;\n if (getClass()!=obj.getClass()) return false;\n final E other = (E) obj;\n if (this.min!=other.min) return false;\n if (!Arrays.equals(this.cnt, other.cnt)) return false;\n return true;\n }\n\n @Override\n public int hashCode() {\n int hash = 7;\n hash = 67*hash+(int) (this.min^(this.min>>>32));\n hash = 67*hash+Arrays.hashCode(this.cnt);\n return hash;\n }\n\n }\n HashSet<E> set=new HashSet<E>();\n private long func2(long min, int[] cnt) {\n if(cnt.length==1){\n return func3(min,cnt[0]);\n }\n E key = new E(min,cnt);\n if(set.contains(key))return INF;\n set.add(key);\n long res=INF;\n loop:for (int o = 0; o<10; o++) {\n int i=(int)((min+o)%10);\n int len = (i+cnt.length-1)/10 + 1;\n int[] ncnt=new int[len];\n fill(ncnt,-1);\n len=0;\n for (int j = 0; j<cnt.length; j++) {\n int tmp = cnt[j] - lucky((i+j)%10);\n if(tmp<0 || ncnt[len]!=-1 && ncnt[len]!=tmp)continue loop;\n ncnt[len]=tmp;\n if((i+j)%10==9)len++;\n }\n long tmp2=func2(min/10 + (i<min%10 ? 1:0), ncnt);\n res=min(tmp2*10+i,res);\n }\n return res;\n }\n\n private long func3(long min, int cnt) {\n long p10=1;\n int dig=1;\n while(p10<min || dig<cnt){\n p10*=10;\n dig++;\n }\n long res=0;\n while(dig>0){\n for (int i = 0;; i++) {\n long tmp = res + p10 * i;\n if(possible(tmp,min,p10/10,dig-1,cnt)){\n res=tmp;break;\n }\n if(i==9)throw new RuntimeException();\n }\n p10/=10;\n dig--;\n }\n return res;\n }\n\n private boolean possible(long tmp, long min,long p10, int dig, int cnt) {\n if(lucky(tmp) > cnt)return false;\n cnt -= lucky(tmp);\n if(cnt>dig)return false;\n while(cnt<dig){\n tmp += p10*9;\n dig--;\n p10/=10;\n }\n while(dig>0){\n tmp += p10*7;\n dig--;\n p10/=10;\n }\n return tmp>=min;\n }\n}\n",
"python": "import sys\n\nd0 = [0,0,0,0,1,-1,0,1,-1,0,0]\noo = 1000000000000\ndef clucky(x):\n cnt = 0\n while x!=0:\n if x%10 in [4,7]: cnt+=1\n x/=10\n return cnt\n \ndef solve1(a,add):\n des = clucky(a)+add\n if des<0:\n return oo\n b = a+1\n step = 1\n nfree = 0\n while 1:\n while b%(step*10)==0: \n step*=10\n nfree+=1\n \n tmp = clucky(b/step)\n if tmp+nfree>=des and tmp<=des:\n res = int(str(b/step)+\"\".join(['0']*(nfree-(des-tmp)))+''.join(['4']*(des-tmp)))\n return res\n b+=step\n assert False\n \ndef agree(a,b,l):\n for i in range(l-1):\n if clucky(a+i+1)-clucky(a+i)!=clucky(b+i+1)-clucky(b+i):\n return False\n return True\n \ndef solve(a,l):\n #print \"calling\",a,l\n if l==1:\n return solve1(a,0)\n\n #with large l, b and a has the same last digit\n res = solve(a/10,(a+l-1)/10-a/10+1)*10+a%10\n if l>=30: return res\n\n #otherwise, there might be more than 1 match:\n for b0 in range(10):\n for b1 in range(9):\n step = 10\n for n9 in range(20):\n b = b0+step-10+step*b1\n step2 = 10*step\n if b>res: break\n if agree(a,b,l): \n if b>a%step2 and clucky(b)==clucky(a%step2):\n res = min(res,a-a%step2+b)\n else:\n tmp = solve1(a/step2,clucky(a%step2)-clucky(b))*step2+b\n res = min(res,tmp)\n #print b,res\n step*=10\n \n \n #print \"Result: \",a,l,res \n return res\n\nfi = sys.stdin\na,l = map(int,fi.readline().split())\nprint solve(a,l)\n\n\n'''\nprint solve(499999977,395) #500000777\nprint solve(3997,3) #4999\nprint solve(485449,2) #485454\nprint solve(4876,2)#48783\nprint solve(77,2) #144\nprint solve(777,10) #1447\nprint solve(469,1) #480\nprint solve(7,4)#17\nprint solve(4,7)#14\nprint solve(10,10)#20\nprint solve(47,74) #147\n'''"
}
|
|
|
# The very same Munchhausen
A positive integer a is given. Baron Munchausen claims that he knows such a positive integer n that if one multiplies n by a, the sum of its digits decreases a times. In other words, S(an) = S(n)/a, where S(x) denotes the sum of digits of the number x.
Find out if what Baron told can be true.
Input
The only line contains a single integer a (2 ≤ a ≤ 10^3).
Output
If there is no such number n, print -1.
Otherwise print any appropriate positive integer n. Your number must not consist of more than 5⋅10^5 digits. We can show that under given constraints either there is no answer, or there is an answer no longer than 5⋅10^5 digits.
Examples
Input
2
Output
6
Input
3
Output
6669
Input
10
Output
-1
|
[
{
"input": {
"stdin": "3\n"
},
"output": {
"stdout": "26667"
}
},
{
"input": {
"stdin": "2\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "10\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "969\n"
},
"output": {
"stdout": "103199174406604747162022703818369453044375644994840041279669762641898864809081527347781217750257997936016511867905056759545923632610939112487100103199174406604747162022703818369453044375644994840041279669762641898864809081527347781217750257997936016511867905056862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686274509803921568627450980392156862745098039215686275541795666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666676986584107327141382869969040247678018575851393188854489164086687306501547987616099071207430340557275541795665634674922600619195046439628482972136222910216718266253869969040247678018575851393188854489164086687306501547987616099071207430340557275541795665634674922600619195046439628482972136222910216718266253869969040247678018575851393188854489164086687306501547987616099071207430340557275541795665634674922703818369453044375644994840041279669762641898864809081527347781217750257997936016511867905056759545923632610949432404540763673890608875128998968008255933952528379772961816305469556243550051599587203302373581011351909184726522187822497420020639834881320949432404540763673890608875128998968008255933952528379772961816305469556243550051599587203302373581011351909184726522187822497420020639834881320949432404540763673890608875129\n"
}
},
{
"input": {
"stdin": "6\n"
},
"output": {
"stdout": "666666684"
}
},
{
"input": {
"stdin": "128\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "256\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "512\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "80\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "377\n"
},
"output": {
"stdout": "26525198938992042440318302387267904509549071618037135278514588859416445623342175066312997347480106100795755968169761273209549071618037135278514588859416445623342175066312997347480106100795755968169761273209549071618037135278514588859416445623342175066313"
}
},
{
"input": {
"stdin": "813\n"
},
"output": {
"stdout": "123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012300123001230012301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530135301353013530147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147601476014760147724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724477244772447724478474784747847478474784747847478474784747847478474784747847478474784747847478474784747847478474784747847478474784747847478474784747847478597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597798277982779827798277982779827798277982779827798277982779827798277982779827798277982779827798277982779827798277982779827798277995079950799507995079950799507995079950799507995079950799507995079950799507997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859778597785977859779827798277982779827798277982779827798277982779827798277982779827798277982779827798277982779827798277982779827798277982779950799507995079950799507995079950799507995079950799507995079950799507995079975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753997539975399753998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699876998769987699877\n"
}
},
{
"input": {
"stdin": "800\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "200\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "11\n"
},
"output": {
"stdout": "290909090909091"
}
},
{
"input": {
"stdin": "993\n"
},
"output": {
"stdout": "100704934541792547834843907351460221550855991943605236656596173212487411883182275931520644511581067472306143001007049345417925478348439073514602215508559919436052366565961732124874118831822759315206445115810674723061430010070493454179254783484390735146022155085599194360523666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666767371601208459214501510574018126888217522658610271903323262839879154078549848942598187311178247734138972809667673716012084592145015105740181268882175226586102719033232628398791540785498489425981873111782477341389728096676737160120855991943605236666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666767371601218529707955689828801611278952668680765357502517623363544813695871097683786505538771399798590130916414904330312185297079556898288016112789526686807653575025176233635448136958710976837865055387713997985901309164149043403826787512588116817724068479355488418932527693856998992950654582074521651560926485397784491440080563947633434038267875125881168177240684793554884189325276938569989929506545820745216515609264853977844914400805639476334340382678751258811681772406847935548841893252769385699899295065458207452165156092648539778449144008056394763343403826787512588116817724068479355488418932527693857\n"
}
},
{
"input": {
"stdin": "12\n"
},
"output": {
"stdout": "666666666666666675"
}
},
{
"input": {
"stdin": "823\n"
},
"output": {
"stdout": "12150668286755771567436208991494532199270959902794653705953827460510328068043742405832320777642770352369380315917375455650060753341433778857837181044957472660996354799513973268529769137302551640340218712029161603888213851761846901579586877278250303766707168894289185905224787363304981773997569866342648845686512758202916160388821385176184690157958687727825030376670716889428918590522478736330498177399756986634264884568651275820170109356014580801944106925880923450789793438639125151883353584447144592952612393681652490887"
}
},
{
"input": {
"stdin": "792\n"
},
"output": {
"stdout": "1262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262626262638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888902777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777791666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666792929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929419191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191919191920454545454545454545454545454545454545454545454545454545454545454545454545454545454547979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979799368686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494974747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474747474873737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737375\n"
}
},
{
"input": {
"stdin": "7\n"
},
"output": {
"stdout": "14286"
}
},
{
"input": {
"stdin": "495\n"
},
"output": {
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},
"output": {
"stdout": "101317122593718338399189463019250253292806484295845997973657548125633232016210739614994934143870314083080040526849037487335359675785207700101317122593718338399189463019250253292806484295845997973657548125633232016210739614994934245187436676798378926038500506585612968591691995947315096251266464032421479229989868287740628166160081053698074974670719351570415400202634245187436676798378926038500506585612968591691995947315096251266464032421479229989868287740628166160081053698074974670719351570415400202634245187436676798378926038500506585612968591691995947315096251266464032421479229989868287740628167173252279635258358662613981762917933130699088145896666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666767983789260385005065856129685916919959473150962512664640324214792299898682877406281661600810536980749746707193515704154002026342451874366767983789270516717325227963525835866261398176291793313069908814589666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667679837892603850050658561296859169199594731509625126646403242147922998986828774062816616008105369807497467071935157041540020263424518743667679837892603850050658561296859169199594731509625126646403242147923\n"
}
},
{
"input": {
"stdin": "5\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "13\n"
},
"output": {
"stdout": "7693077"
}
},
{
"input": {
"stdin": "400\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "4\n"
},
"output": {
"stdout": "75"
}
},
{
"input": {
"stdin": "32\n"
},
"output": {
"stdout": "-1\n"
}
}
] |
{
"tags": [
"brute force"
],
"title": "The very same Munchhausen"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long a, g, A, B, sum;\nstring num, zero, ans;\ninline long long gcd(long long u, long long v) {\n for (; v;) {\n u %= v;\n swap(u, v);\n }\n return u;\n}\ninline long long S(long long u) {\n long long res = 0;\n for (; u; u /= 10) res += u % 10;\n return res;\n}\nint main() {\n long long i, j, tmp, t;\n for (i = 1; i <= 5; i++) zero += '0';\n cin >> a;\n if (a == 1) {\n puts(\"1\");\n return 0;\n }\n B = S(a) * a - 1;\n for (i = 0, tmp = 1; tmp; i++) {\n if (num[num.size() - 1] != '9' && a * (S(a - tmp) + 1) < sum + 1) {\n A = sum + 1 - a * (S(a - tmp) + 1);\n g = gcd(A, B);\n if ((A / g) * (5 + 1) + (B / g) * (5 + num.size()) <= 500000) {\n num[num.size() - 1]++;\n break;\n }\n }\n tmp = tmp * 10;\n t = tmp / a;\n sum += t;\n if (num.size() || t) num += t + '0';\n tmp %= a;\n }\n if (!tmp) {\n if (a > sum) {\n puts(\"-1\");\n return 0;\n } else if (a == sum) {\n cout << num;\n return 0;\n }\n A = sum - a;\n g = gcd(A, B);\n }\n for (i = 1; i <= (B / g); i++) ans += num + zero;\n for (i = 1; i <= (A / g); i++) ans += \"1\" + zero;\n cout << ans;\n}\n",
"java": null,
"python": "#!/bin/pypy3\nfrom itertools import*\nfrom timeit import*\nfrom typing import Optional\n\nS=lambda x:sum(map(int,str(x)))\n\ndef ceil_s_divisible_a(x:int,a:int) -> Optional[int]:\n\tz=S(x)%a\n\tif z:\n\t\tz=a-z\n\t\ttail=[]\n\t\tx=list(str(x))\n\t\twhile x:\n\t\t\tdigit=x.pop()\n\t\t\tdiff=min(z,9-int(digit))\n\t\t\tz-=diff\n\t\t\ttail.append(str(int(digit)+diff))\n\t\t\tif z==0:break\n\t\telse:\n\t\t\treturn ceil_s_divisible_a(10**len(tail),a)\n\t\tx=''.join(x) + ''.join(reversed(tail))\n\n\tassert S(x)%a==0\n\tx=int(x)\n\treturn x\n\ndef smooth25(a):\n\ta=int(bin(a).rstrip('0'),2)\n\twhile a%5==0: a//=5\n\treturn a==1\n\ndef solve(a):\n\tfor first in range(1,60): # 120\n\t\tq=str((first*10**3000+a-1) // a) # 5000\n\t\tfor s1 in range(1,200):\n\t\t\ti=1\n\t\t\ts2=int(q[0])\n\t\t\twhile i<len(q) and s2<s1*a-10: s2+=int(q[i]); i+=1\n\t\t\tfor len1 in range(i,min(i+10,len(q))):\n\t\t\t\tsmall=int(q[:len1])\n\t\t\t\tfor z in range(4): # 10\n\t\t\t\t\tsmall=ceil_s_divisible_a(small,a)\n\t\t\t\t\tif S(small*a)*a==S(small):\n\t\t\t\t\t\treturn small\n\t\t\t\t\tsmall+=1\n\n\treturn None\n\ndef powform(x:int)->str:\n\ts=str(x)\n\ttry:\n\t\ti=s.find('00000')\n\t\treturn f'{s[:i]} * 10 ** {len(s)-i} + {int(s[i:])}'\n\texcept IndexError:\n\t\treturn str(x)\n\nif 0:\n\t#for a in (a for a in range(2,1000)):\n\tfor a in [999,909,813,777,957,921,855,933,831,942,891,846,807,783,888][1::3]:\n\t#for a in [32]:\n\n\t\tdef work():\n\t\t\tglobal x\n\t\t\tx=solve(a)\n\n\t\tt=timeit(work,number=1)\n\t\tif t>0.5 or x==None:\n\t\t\tif x!=None:\n\t\t\t\tprint(a,t,'>>',powform(a*x))\n\t\t\telse:\n\t\t\t\tprint(a,t,'>> ?????')\n\n\t#print(solve(int(input())))\n\n\nspecial='''\n660 0.5026652759997887 >> 3 * 10 ** 2640 + 35340\n803 0.5102322779994211 >> 3 * 10 ** 2678 + 1614\n912 0.5136937369998122 >> 3 * 10 ** 1825 + 240\n918 0.5238579140004731 >> 3 * 10 ** 1813 + 1104\n582 0.5302371079997101 >> 2 * 10 ** 2328 + 17116\n612 0.5363936909998301 >> 2 * 10 ** 2413 + 10348\n495 0.5372351949999938 >> 3 * 10 ** 2969 + 16305\n927 0.5433051690006323 >> 3 * 10 ** 2195 + 21003\n636 0.5471086210000067 >> 3 * 10 ** 1379 + 20004\n531 0.5475810970001476 >> 2 * 10 ** 2140 + 439\n64 0.5633312410000144 >> ?????\n200 0.5639609099998779 >> ?????\n100 0.565854023000611 >> ?????\n125 0.5663040710005589 >> ?????\n160 0.5668467480008985 >> ?????\n800 0.5676178080002501 >> ?????\n128 0.5676772269998764 >> ?????\n80 0.5682811480000964 >> ?????\n256 0.5685735130000467 >> ?????\n250 0.5691464900000938 >> ?????\n512 0.569266141999833 >> ?????\n32 0.5692826909998985 >> ?????\n50 0.5692834940000466 >> ?????\n25 0.5696684799995637 >> ?????\n400 0.5703751219998594 >> ?????\n20 0.5706145570002263 >> ?????\n500 0.5742691679997733 >> ?????\n640 0.5749700739997934 >> ?????\n40 0.5768258159996549 >> ?????\n625 0.5775357299999087 >> ?????\n16 0.5789494729997386 >> ?????\n833 0.5855263899993588 >> 3 * 10 ** 2286 + 1404\n792 0.5996652009998797 >> 3 * 10 ** 1903 + 16008\n320 0.6031684260005932 >> ?????\n10 0.6464516910000384 >> ?????\n546 0.6579458010000963 >> 3 * 10 ** 2184 + 2454\n5 0.6617960960002165 >> ?????\n907 0.664109037000344 >> 3 * 10 ** 2538 + 2223\n923 0.6807242180002504 >> 2 * 10 ** 2476 + 4141\n723 0.6976773409996895 >> 3 * 10 ** 2892 + 1185\n825 0.701172955000402 >> 4 * 10 ** 2476 + 123350\n906 0.7062042559991824 >> 4 * 10 ** 1998 + 104\n905 0.7086789289996887 >> 2 * 10 ** 2412 + 1540\n911 0.711649564000254 >> 2 * 10 ** 2612 + 2044\n934 0.7246100349993867 >> 2 * 10 ** 2570 + 51112\n765 0.7552886830007992 >> 3 * 10 ** 2939 + 1725\n981 0.7653923980005857 >> 4 * 10 ** 1965 + 1022\n333 0.7884190810000291 >> 3 * 10 ** 2994 + 62934\n663 0.8130600629992841 >> 3 * 10 ** 2546 + 11634\n444 0.8443964660000347 >> 3 * 10 ** 1999 + 13956\n720 0.8445076829993923 >> 2 * 10 ** 2779 + 159280\n867 0.9858260920000248 >> 5 * 10 ** 1739 + 121\n914 1.0558696210000562 >> 3 * 10 ** 1831 + 222\n606 1.1190159360003236 >> 5 * 10 ** 2910 + 1318\n948 1.1529914639995695 >> 6 * 10 ** 2466 + 1020\n1000 1.2245053040005587 >> ?????\n741 1.2366985769995154 >> 5 * 10 ** 2669 + 175\n819 1.292531102999419 >> 8 * 10 ** 2949 + 31312\n867 1.293641017000482 >> 5 * 10 ** 1739 + 121\n961 1.431375496000328 >> 4 * 10 ** 1935 + 1112\n913 2.0632996949998414 >> 5 * 10 ** 2323 + 16\n861 2.1641551399998207 >> 11 * 10 ** 1847 + 1114\n992 2.2718322470000203 >> 11 * 10 ** 2207 + 1504\n936 2.3109037909998733 >> 11 * 10 ** 2108 + 3112\n996 2.3603119750005135 >> 11 * 10 ** 1979 + 4300\n951 2.380345242999283 >> 11 * 10 ** 1820 + 412\n969 2.471255187000679 >> 11 * 10 ** 1942 + 241\n828 2.504634874999283 >> 11 * 10 ** 1595 + 11212\n693 2.5246166990000347 >> 13 * 10 ** 2494 + 423014\n840 2.5490226490001078 >> 11 * 10 ** 1681 + 13120\n983 2.618962229999852 >> 11 * 10 ** 1968 + 5011\n963 2.641272683999887 >> 11 * 10 ** 2026 + 133\n972 2.741184581000198 >> 12 * 10 ** 2130 + 312\n555 2.787974407000547 >> 11 * 10 ** 2497 + 444445\n873 2.8377116049996403 >> 11 * 10 ** 1774 + 133\n903 2.898315477000324 >> 13 * 10 ** 1726 + 32\n804 2.9635119349995875 >> 12 * 10 ** 1659 + 1500\n864 3.032601443999738 >> 13 * 10 ** 2747 + 34016\n759 3.0681308859993806 >> 13 * 10 ** 2504 + 311441\n871 3.4960390779997397 >> 13 * 10 ** 2995 + 2405\n902 4.413119433999782 >> 12 * 10 ** 1506 + 1110\n997 4.446912733999852 >> 11 * 10 ** 1999 + 7\n993 5.025415283999791 >> 23 * 10 ** 2130 + 31\n837 5.286188959000356 >> 25 * 10 ** 2722 + 11063\n786 5.390603378999913 >> 21 * 10 ** 1572 + 4002\n801 5.4837765329994 >> 22 * 10 ** 1645 + 212\n882 6.045185064999714 >> 22 * 10 ** 1822 + 1130\n990 6.413724044000446 >> 39 * 10 ** 2970 + 302010\n666 6.967028857000514 >> 33 * 10 ** 2997 + 32934\n941 6.982767053000316 >> 21 * 10 ** 1885 + 312\n924 7.134165846000542 >> 34 * 10 ** 2772 + 1110152\n858 8.089877333000004 >> 41 * 10 ** 2573 + 12201142\n939 8.241953895999359 >> 33 * 10 ** 1879 + 20001\n813 3.1825667919993066 >> 3 * 10 ** 4065 + 7314\n921 1.9310127280004963 >> 1 * 10 ** 3762 + 18008\n831 1.683305384999585 >> 1 * 10 ** 3702 + 1646\n846 1.4100486610004737 >> 1 * 10 ** 3419 + 44234\n888 6.891388972000641 >> 3 * 10 ** 3998 + 27672\n909 11.340291348999926 >> 7 * 10 ** 4673 + 17201\n957 1.3982879649993265 >> 1 * 10 ** 4347 + 28403\n933 0.9980270719997861 >> 1 * 10 ** 3746 + 233234\n891 0.8806926099996417 >> 1 * 10 ** 3957 + 1079\n783 0.6478317080000124 >> 1 * 10 ** 3162 + 22814\n999 102.2252583720001 >> 89 * 10 ** 4760 + 20071\n777 37.847382832999756 >> 24 * 10 ** 4661 + 474123\n855 0.934857464999368 >> 1 * 10 ** 3420 + 21545\n942 1.0410122209996189 >> 1 * 10 ** 4198 + 310058\n807 0.7532789589995446 >> 1 * 10 ** 3234 + 1307123\n'''\n\na=int(input())\nfor line in special.splitlines():\n\tif line:\n\t\texpr,out=line.split('>>')\n\t\texpr=expr.split()[0]\n\t\tif int(expr)==a:\n\t\t\tprint(-1 if out.strip()=='?????' else eval(out)//a)\n\t\t\tbreak\nelse:\n\tprint(solve(a))\n"
}
|
|
|
# Another One Bites The Dust
Let's call a string good if and only if it consists of only two types of letters — 'a' and 'b' and every two consecutive letters are distinct. For example "baba" and "aba" are good strings and "abb" is a bad string.
You have a strings "a", b strings "b" and c strings "ab". You want to choose some subset of these strings and concatenate them in any arbitrarily order.
What is the length of the longest good string you can obtain this way?
Input
The first line contains three positive integers a, b, c (1 ≤ a, b, c ≤ 10^9) — the number of strings "a", "b" and "ab" respectively.
Output
Print a single number — the maximum possible length of the good string you can obtain.
Examples
Input
1 1 1
Output
4
Input
2 1 2
Output
7
Input
3 5 2
Output
11
Input
2 2 1
Output
6
Input
1000000000 1000000000 1000000000
Output
4000000000
Note
In the first example the optimal string is "baba".
In the second example the optimal string is "abababa".
In the third example the optimal string is "bababababab".
In the fourth example the optimal string is "ababab".
|
[
{
"input": {
"stdin": "2 2 1\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "1 1 1\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "2 1 2\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 1000000000\n"
},
"output": {
"stdout": "4000000000\n"
}
},
{
"input": {
"stdin": "3 5 2\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "1 1 2\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "11 9 6\n"
},
"output": {
"stdout": "31\n"
}
},
{
"input": {
"stdin": "10 2 5\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "6 1 1\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "2 100 1\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "135266639 299910226 320610730\n"
},
"output": {
"stdout": "911754739\n"
}
},
{
"input": {
"stdin": "100 101 102\n"
},
"output": {
"stdout": "405\n"
}
},
{
"input": {
"stdin": "300 1 100\n"
},
"output": {
"stdout": "203\n"
}
},
{
"input": {
"stdin": "700 800 1900\n"
},
"output": {
"stdout": "5201\n"
}
},
{
"input": {
"stdin": "13350712 76770926 61331309\n"
},
"output": {
"stdout": "149364043\n"
}
},
{
"input": {
"stdin": "7 3 4\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "6 14 1\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5 2 2\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 7 5\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "6 8 1\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "6 1 6\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "7 5 12\n"
},
"output": {
"stdout": "35\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 99999999\n"
},
"output": {
"stdout": "2199999998\n"
}
},
{
"input": {
"stdin": "894 197 325\n"
},
"output": {
"stdout": "1045\n"
}
},
{
"input": {
"stdin": "1000 100 10\n"
},
"output": {
"stdout": "221\n"
}
},
{
"input": {
"stdin": "7 9 7\n"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "4394826 2233224 609367\n"
},
"output": {
"stdout": "5685183\n"
}
},
{
"input": {
"stdin": "3 4 1\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "8 4 5\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "2 2 3\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "4 8 5\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "100 101 99\n"
},
"output": {
"stdout": "399\n"
}
},
{
"input": {
"stdin": "17843355 6588793 15517352\n"
},
"output": {
"stdout": "44212291\n"
}
},
{
"input": {
"stdin": "142098087 687355301 987788392\n"
},
"output": {
"stdout": "2259772959\n"
}
},
{
"input": {
"stdin": "1 2 1\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "3 9 1\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "254762 244010 3461323\n"
},
"output": {
"stdout": "7410667\n"
}
},
{
"input": {
"stdin": "3 5 10\n"
},
"output": {
"stdout": "27\n"
}
},
{
"input": {
"stdin": "1 1 4\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "3 6 3\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "8 8 7\n"
},
"output": {
"stdout": "30\n"
}
},
{
"input": {
"stdin": "3 1 3\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "4 2 6\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "1 2 8\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "5 5 4\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "6 7 1000\n"
},
"output": {
"stdout": "2013\n"
}
},
{
"input": {
"stdin": "1 5 10\n"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "2 4 1\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "3 1 8\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "1000000000 1 1\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "10 1 1\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "4 8 10\n"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "8581 6058 3019\n"
},
"output": {
"stdout": "18155\n"
}
},
{
"input": {
"stdin": "1 2333 2333\n"
},
"output": {
"stdout": "4669\n"
}
},
{
"input": {
"stdin": "3698483 6798912 18096063\n"
},
"output": {
"stdout": "43589093\n"
}
},
{
"input": {
"stdin": "333625 453145 800800\n"
},
"output": {
"stdout": "2268851\n"
}
},
{
"input": {
"stdin": "41764 97259 54586\n"
},
"output": {
"stdout": "192701\n"
}
}
] |
{
"tags": [
"greedy"
],
"title": "Another One Bites The Dust"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(0);\n unsigned long long int a, b, c;\n cin >> a >> b >> c;\n unsigned long long int sol = c * 2;\n if (a == b)\n sol += a * 2;\n else\n sol += min(a, b) * 2 + 1;\n cout << sol;\n}\n",
"java": "import java.util.Scanner;\n\n// ab && b can go as long as they exist,\n// a && b can go as long as they exist,\n// ab && a are limited to the number of b's. \n// ab can continue on its own\n\npublic class AnotherOneBitesTheDust {\n\n\tpublic static void main(String[] args) {\n\t\tScanner in = new Scanner(System.in);\n\t\tlong a = in.nextLong();\n\t\tlong b = in.nextLong();\n\t\tlong ab = in.nextLong();\n\t\tlong total = (ab * 2) + (Math.min(a, b) * 2 + 1);\n\t\tif (a == b)\n\t\t\ttotal--;\n\t\tSystem.out.println(total);\n\n\t\tin.close();\n\t}\n}",
"python": "a,b,c=map(int,input().split())\nif a>b:\n\tprint((2*c)+2*b +1)\nelif a<b:\n\tprint((2*c)+1+2*(a))\nelse:\n\tprint(2*c +2*a)"
}
|
|
|
# Increasing by Modulo
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He should then change a_{i_j} to ((a_{i_j}+1) mod m) for each chosen integer i_j. The integer m is fixed for all operations and indices.
Here x mod y denotes the remainder of the division of x by y.
Zitz wants to make his array non-decreasing with the minimum number of such operations. Find this minimum number of operations.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 300 000) — the number of integers in the array and the parameter m.
The next line contains n space-separated integers a_1, a_2, …, a_n (0 ≤ a_i < m) — the given array.
Output
Output one integer: the minimum number of described operations Zitz needs to make his array non-decreasing. If no operations required, print 0.
It is easy to see that with enough operations Zitz can always make his array non-decreasing.
Examples
Input
5 3
0 0 0 1 2
Output
0
Input
5 7
0 6 1 3 2
Output
1
Note
In the first example, the array is already non-decreasing, so the answer is 0.
In the second example, you can choose k=2, i_1 = 2, i_2 = 5, the array becomes [0,0,1,3,3]. It is non-decreasing, so the answer is 1.
|
[
{
"input": {
"stdin": "5 3\n0 0 0 1 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "5 7\n0 6 1 3 2\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "2 2\n0 1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "100 10\n8 4 4 9 0 7 9 5 1 1 2 3 7 1 8 4 8 8 6 0 8 7 8 3 7 0 6 4 8 4 2 7 0 0 3 8 4 4 2 0 0 4 7 2 4 7 9 1 3 3 6 2 9 6 0 6 3 5 6 5 5 3 0 0 8 7 1 4 2 4 1 3 9 7 9 0 6 6 7 4 2 3 7 1 7 3 5 1 4 3 7 5 7 5 0 5 1 9 0 9\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 10\n5 0 5 9 4 6 4 5 0 0\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "6 4\n1 3 0 2 1 0\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 10\n1 2 3 4 5 6 7 8 9 0\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "10 1000\n981 824 688 537 969 72 39 734 929 718\n"
},
"output": {
"stdout": "463\n"
}
},
{
"input": {
"stdin": "1 1\n0\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "100 1\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 1\n0 0\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "100 1000\n980 755 745 448 424 691 210 545 942 979 555 783 425 942 495 741 487 514 752 434 187 874 372 617 414 505 659 445 81 397 243 986 441 587 31 350 831 801 194 103 723 166 108 182 252 846 328 905 639 690 738 638 986 340 559 626 572 808 442 410 179 549 880 153 449 99 434 945 163 687 173 797 999 274 975 626 778 456 407 261 988 43 25 391 937 856 54 110 884 937 940 205 338 250 903 244 424 871 979 810\n"
},
"output": {
"stdout": "860\n"
}
},
{
"input": {
"stdin": "10 300000\n111862 91787 271781 182224 260248 142019 30716 102643 141870 19206\n"
},
"output": {
"stdout": "208213\n"
}
},
{
"input": {
"stdin": "4 6\n0 3 5 1\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "2 2\n1 0\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "6 4\n2 3 -2 2 0 0\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 1 0 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 10\n8 4 4 9 0 7 9 5 1 1 2 3 7 1 8 4 8 8 6 0 8 7 8 3 7 0 6 7 8 4 2 7 0 0 3 8 4 4 2 0 0 4 7 2 4 7 9 1 3 3 6 2 9 6 0 6 3 5 6 5 5 3 0 0 8 7 1 4 2 4 1 3 9 7 9 0 6 6 7 4 2 3 7 1 7 3 5 1 4 3 7 5 7 5 0 5 1 9 0 9\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 1100\n981 824 688 537 969 72 39 734 929 718\n"
},
"output": {
"stdout": "563\n"
}
},
{
"input": {
"stdin": "100 10\n8 4 4 9 0 7 9 5 1 1 2 3 7 1 8 4 8 8 6 0 8 7 8 3 7 0 6 7 8 4 2 7 0 0 3 8 4 4 2 0 0 4 7 2 4 7 9 1 3 3 1 2 9 6 0 6 3 5 4 5 5 3 0 0 8 7 1 4 2 4 1 3 9 7 9 0 6 6 7 4 2 3 7 1 7 3 5 1 4 3 7 5 7 5 0 5 1 9 0 9\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 10\n1 2 3 4 5 6 4 8 9 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 1 0 1 0 0 0 -1 1 0 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 10\n1 1 3 4 5 6 7 8 9 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "2 3\n1 0\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 10\n8 4 4 9 0 7 9 5 1 1 2 3 7 1 8 4 8 8 6 0 8 7 8 3 7 0 6 4 8 4 1 7 0 0 3 8 4 4 2 0 0 4 7 2 4 7 9 1 3 3 6 2 9 6 0 6 3 5 6 5 5 3 0 0 8 7 1 4 2 4 1 3 9 7 9 0 6 6 7 4 2 3 7 1 7 3 5 1 4 3 7 5 7 5 0 5 1 9 0 9\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 18\n6 0 5 9 4 6 4 2 0 0\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "10 10\n1 1 3 4 5 6 7 8 7 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 18\n5 0 5 9 4 6 4 3 0 0\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 3\n1 0 0 1 2\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "6 4\n1 3 -1 2 1 0\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10 300000\n111862 91787 2609 298156 260248 142019 30716 197020 141870 14092\n"
},
"output": {
"stdout": "182928\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 1 0 1 0 0 0 -1 1 0 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 501973\n111862 91787 2609 298156 260248 142019 30716 197020 141870 14092\n"
},
"output": {
"stdout": "284064\n"
}
},
{
"input": {
"stdin": "100 1000\n980 755 745 448 424 691 210 545 942 979 555 783 425 942 495 741 487 514 752 434 187 874 372 617 414 505 659 445 81 397 262 986 441 587 31 350 831 801 194 103 723 166 108 182 252 846 328 905 639 690 738 638 986 340 559 626 572 808 442 410 179 549 880 153 449 99 434 945 163 687 173 797 999 274 975 626 778 456 407 261 988 43 25 391 937 856 54 110 884 937 940 205 338 250 903 244 424 871 979 810\n"
},
"output": {
"stdout": "860\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 2 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 2 -1 0 1 0 0 1 0 1 0 1 1 2 -1 1 2 0 0 2 0 1 0 0 0 1 0 1 0 -1 1 1 0 1 0 1 0 -1 0 0 0 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 0 0 1 0 0 0 -1 1 2 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1100\n277 824 688 537 969 72 39 734 929 718\n"
},
"output": {
"stdout": "689\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 0 0 2 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 2 -1 0 1 0 0 1 0 1 0 1 1 2 -1 1 2 0 0 2 0 1 0 1 0 1 0 1 0 -1 1 1 0 1 0 1 0 -1 0 0 1 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 300000\n111862 91787 2609 182224 260248 142019 30716 102643 141870 19206\n"
},
"output": {
"stdout": "208213\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 2 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 2 -1 0 1 0 0 1 0 1 0 1 1 2 -1 1 2 0 0 2 0 1 0 1 0 1 0 1 0 -1 1 1 0 1 0 1 0 -1 0 0 1 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 1000\n981 824 688 537 969 72 39 102 929 718\n"
},
"output": {
"stdout": "463\n"
}
},
{
"input": {
"stdin": "10 300000\n111862 91787 2609 298156 260248 142019 30716 102643 141870 14092\n"
},
"output": {
"stdout": "151614\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 2 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 0 0 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 -1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 2 -1 0 1 0 0 1 0 1 0 1 1 1 -1 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 0 0 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 -1 1 1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100 2\n1 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 -1 1 1 1 1 1 1 0 1 0 1 1 0 1 -1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 2 0 0 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 2 0 1 0 0 0 1 0 1 1 -1 1 1 0 1 0 1 0 -1 0 0 0 1 0 0 0 -1 1 -1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 501973\n111862 83930 2609 298156 82558 142019 30716 197020 141870 14092\n"
},
"output": {
"stdout": "284064\n"
}
},
{
"input": {
"stdin": "100 10\n8 4 4 9 0 7 9 5 1 1 2 3 7 1 8 4 8 8 6 0 8 7 8 3 7 0 6 7 8 4 2 7 0 0 3 8 4 4 2 0 0 4 7 2 4 7 9 1 3 3 1 2 9 6 0 6 3 5 4 5 5 3 0 0 8 7 1 4 2 4 1 3 9 7 9 0 0 6 7 4 2 3 7 1 7 3 5 1 4 3 7 5 7 5 0 5 1 9 0 9\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 10\n5 0 5 9 4 6 4 3 0 0\n"
},
"output": {
"stdout": "6\n"
}
}
] |
{
"tags": [
"binary search",
"greedy"
],
"title": "Increasing by Modulo"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n, m;\n cin >> n >> m;\n vector<int> a(n);\n for (int i = 0; i < n; i++) cin >> a[i];\n long long ans = 0;\n int l = 0, h = m - 1, mid;\n while (l != h) {\n mid = (l + h) / 2;\n int p = min(a[0], (a[0] + mid) % m);\n if (p < a[0]) p = 0;\n int f = 0;\n for (int i = 1; i < n; i++) {\n if (a[i] == p) continue;\n if (a[i] > p) {\n if (m - a[i] + p <= mid) continue;\n p = a[i];\n } else {\n if (p - a[i] > mid) {\n f = 1;\n break;\n }\n }\n }\n if (f == 0) {\n h = mid;\n } else {\n l = mid + 1;\n }\n }\n cout << h << endl;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\nimport static java.lang.Math.*;\nimport java.math.BigInteger;\npublic class Main {\n static final long MOD = 1_000_000_007, INF = 1_000_000_000_000_000_000L;\n static final int INf = 1_000_000_000;\n static FastReader reader;\n static PrintWriter writer;\n public static void main(String[] args) {\n Thread t = new Thread(null, new O(), \"Integer.MAX_VALUE\", 100000000);\n t.start();\n }\n static class O implements Runnable {\n public void run() {\n try {\n magic();\n }\n catch (Exception e) {\n e.printStackTrace();\n System.exit(1);\n }\n }\n }\n static class FastReader {\n final private int BUFFER_SIZE = 1 << 16;\n private DataInputStream din;\n private byte[] buffer;\n private int bufferPointer, bytesRead;\n\n public FastReader() {\n din = new DataInputStream(System.in);\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public FastReader(String file_name) throws IOException {\n din = new DataInputStream(new FileInputStream(file_name));\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public String readLine() throws IOException {\n byte[] buf = new byte[1000000];\n int cnt = 0, c;\n while ((c = read()) != -1) {\n if (c == '\\n') break;\n buf[cnt++] = (byte) c;\n }\n return new String(buf, 0, cnt);\n }\n\n public int nextInt() throws IOException {\n int ret = 0;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = (c == '-');\n if (neg) c = read();\n do {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n if (neg) return -ret;\n return ret;\n }\n\n public long nextLong() throws IOException {\n long ret = 0;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = (c == '-');\n if (neg) c = read();\n do {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n if (neg) return -ret;\n return ret;\n }\n\n public double nextDouble() throws IOException {\n double ret = 0, div = 1;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = (c == '-');\n if (neg) c = read();\n do {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n if (c == '.') while ((c = read()) >= '0' && c <= '9') ret += (c - '0') / (div *= 10);\n if (neg) return -ret;\n return ret;\n }\n\n private void fillBuffer() throws IOException {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1) buffer[0] = -1;\n }\n\n private byte read() throws IOException {\n if (bufferPointer == bytesRead) fillBuffer();\n return buffer[bufferPointer++];\n }\n\n public void close() throws IOException {\n if (din == null) return;\n din.close();\n }\n }\n static int n,m,arr[];\n static void magic() throws IOException {\n reader = new FastReader();\n writer = new PrintWriter(System.out, true);\n n = reader.nextInt();\n m = reader.nextInt();\n arr = new int[n];\n for(int i=0;i<n;++i) {\n arr[i] = reader.nextInt();\n }\n int low = 0, high = m-1, mid;\n while(low<high) {\n mid = (low+high)>>1;\n if(check(mid)) {\n if(mid==0 || !check(mid-1)) {\n low = mid;\n break;\n }\n else high = --mid;\n }\n else low = ++mid;\n }\n writer.println(low);\n }\n static boolean check(int x) {\n int max = 0;\n for(int i=0;i<n;++i) {\n if(arr[i]<max) {\n if(max-arr[i] > x) {\n return false;\n }\n }\n else if(arr[i]== max) {\n\n }\n else {\n int req = (m-arr[i]+max);\n if(req<=x) {\n\n }\n else max = arr[i];\n }\n }\n return true;\n }\n}",
"python": "import copy\n\nn, m = map(int, input().split())\n\na = list(map(int, input().split()))\n\nl = -1\nr = 300001\n\ndef check(x):\n success = True\n\n last = 0 if (a[0] + x >= m) else a[0]\n for i in range(1, n):\n now = a[i]\n\n if (now < last):\n now = min(last, now + x)\n\n if (a[i] + x >= m + last):\n now = last\n\n if (now < last):\n return False\n last = now\n return True\n\nwhile (r - l > 1):\n mid = (l + r) // 2\n if (check(mid)):\n r = mid\n else:\n l = mid\nprint(r)\n"
}
|
|
|
# Tree Painting
You are given a tree (an undirected connected acyclic graph) consisting of n vertices. You are playing a game on this tree.
Initially all vertices are white. On the first turn of the game you choose one vertex and paint it black. Then on each turn you choose a white vertex adjacent (connected by an edge) to any black vertex and paint it black.
Each time when you choose a vertex (even during the first turn), you gain the number of points equal to the size of the connected component consisting only of white vertices that contains the chosen vertex. The game ends when all vertices are painted black.
Let's see the following example:
<image>
Vertices 1 and 4 are painted black already. If you choose the vertex 2, you will gain 4 points for the connected component consisting of vertices 2, 3, 5 and 6. If you choose the vertex 9, you will gain 3 points for the connected component consisting of vertices 7, 8 and 9.
Your task is to maximize the number of points you gain.
Input
The first line contains an integer n — the number of vertices in the tree (2 ≤ n ≤ 2 ⋅ 10^5).
Each of the next n - 1 lines describes an edge of the tree. Edge i is denoted by two integers u_i and v_i, the indices of vertices it connects (1 ≤ u_i, v_i ≤ n, u_i ≠ v_i).
It is guaranteed that the given edges form a tree.
Output
Print one integer — the maximum number of points you gain if you will play optimally.
Examples
Input
9
1 2
2 3
2 5
2 6
1 4
4 9
9 7
9 8
Output
36
Input
5
1 2
1 3
2 4
2 5
Output
14
Note
The first example tree is shown in the problem statement.
|
[
{
"input": {
"stdin": "5\n1 2\n1 3\n2 4\n2 5\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "9\n1 2\n2 3\n2 5\n2 6\n1 4\n4 9\n9 7\n9 8\n"
},
"output": {
"stdout": "36"
}
},
{
"input": {
"stdin": "2\n1 2\n"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "6\n5 3\n5 6\n5 1\n5 4\n5 2\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "7\n7 5\n7 3\n7 6\n7 4\n7 1\n7 2\n"
},
"output": {
"stdout": "18"
}
},
{
"input": {
"stdin": "4\n4 3\n3 2\n2 1\n"
},
"output": {
"stdout": "10"
}
},
{
"input": {
"stdin": "4\n2 1\n1 3\n3 4\n"
},
"output": {
"stdout": "10"
}
},
{
"input": {
"stdin": "10\n7 10\n10 6\n6 4\n4 5\n5 8\n8 2\n2 1\n1 3\n3 9\n"
},
"output": {
"stdout": "55"
}
},
{
"input": {
"stdin": "9\n9 4\n4 6\n6 2\n2 1\n1 3\n3 5\n5 8\n8 7\n"
},
"output": {
"stdout": "45"
}
},
{
"input": {
"stdin": "6\n5 3\n3 6\n6 1\n1 4\n4 2\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "5\n2 1\n2 3\n2 4\n2 5\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "52\n1 52\n2 52\n3 52\n4 52\n5 52\n6 52\n7 52\n8 52\n9 52\n10 52\n11 52\n12 52\n13 52\n14 52\n15 52\n16 52\n17 52\n18 52\n19 52\n20 52\n21 52\n22 52\n23 52\n24 52\n25 52\n26 52\n27 52\n28 52\n29 52\n30 52\n31 52\n32 52\n33 52\n34 52\n35 52\n36 52\n37 52\n38 52\n39 52\n40 52\n41 52\n42 52\n43 52\n44 52\n45 52\n46 52\n47 52\n48 52\n49 52\n50 52\n51 52\n"
},
"output": {
"stdout": "153"
}
},
{
"input": {
"stdin": "4\n1 3\n1 4\n1 2\n"
},
"output": {
"stdout": "9"
}
},
{
"input": {
"stdin": "7\n1 2\n1 3\n1 6\n1 7\n1 4\n1 5\n"
},
"output": {
"stdout": "18"
}
},
{
"input": {
"stdin": "6\n1 5\n5 4\n4 2\n2 6\n6 3\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "8\n8 6\n8 7\n8 2\n8 5\n8 1\n8 4\n8 3\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "10\n5 6\n6 7\n7 3\n7 8\n7 4\n7 2\n7 1\n7 10\n7 9\n"
},
"output": {
"stdout": "34"
}
},
{
"input": {
"stdin": "10\n3 2\n3 7\n3 6\n3 8\n3 1\n3 5\n3 9\n3 4\n3 10\n"
},
"output": {
"stdout": "27"
}
},
{
"input": {
"stdin": "5\n1 4\n4 2\n2 3\n3 5\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "5\n4 5\n4 1\n1 2\n2 3\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "8\n6 2\n2 1\n1 8\n8 5\n5 7\n7 3\n3 4\n"
},
"output": {
"stdout": "36"
}
},
{
"input": {
"stdin": "10\n5 8\n8 4\n4 9\n9 6\n6 1\n6 2\n6 7\n6 3\n6 10\n"
},
"output": {
"stdout": "45"
}
},
{
"input": {
"stdin": "9\n3 2\n3 1\n3 8\n3 5\n3 6\n3 9\n3 4\n3 7\n"
},
"output": {
"stdout": "24"
}
},
{
"input": {
"stdin": "4\n3 4\n3 1\n3 2\n"
},
"output": {
"stdout": "9"
}
},
{
"input": {
"stdin": "8\n6 2\n6 1\n6 8\n6 5\n6 7\n6 3\n6 4\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "10\n5 1\n1 6\n6 2\n2 8\n8 3\n3 4\n4 10\n10 9\n9 7\n"
},
"output": {
"stdout": "55"
}
},
{
"input": {
"stdin": "6\n4 5\n4 1\n4 6\n4 2\n4 3\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "10\n5 1\n5 6\n5 2\n5 8\n5 3\n5 4\n5 10\n5 9\n5 7\n"
},
"output": {
"stdout": "27"
}
},
{
"input": {
"stdin": "10\n8 2\n8 10\n10 3\n2 4\n3 6\n8 1\n2 7\n10 9\n4 5\n"
},
"output": {
"stdout": "43"
}
},
{
"input": {
"stdin": "9\n2 6\n6 1\n2 8\n6 7\n1 5\n7 3\n8 9\n5 4\n"
},
"output": {
"stdout": "39"
}
},
{
"input": {
"stdin": "7\n7 6\n7 5\n7 2\n7 1\n5 4\n5 3\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "6\n6 5\n6 2\n2 3\n5 4\n4 1\n"
},
"output": {
"stdout": "21"
}
},
{
"input": {
"stdin": "8\n6 3\n3 7\n6 1\n1 2\n3 5\n5 4\n2 8\n"
},
"output": {
"stdout": "34"
}
},
{
"input": {
"stdin": "4\n3 4\n4 1\n1 2\n"
},
"output": {
"stdout": "10"
}
},
{
"input": {
"stdin": "9\n1 6\n6 4\n4 5\n5 9\n9 8\n8 7\n7 3\n3 2\n"
},
"output": {
"stdout": "45"
}
},
{
"input": {
"stdin": "7\n2 7\n7 6\n6 5\n5 4\n4 1\n1 3\n"
},
"output": {
"stdout": "28"
}
},
{
"input": {
"stdin": "10\n4 10\n10 5\n5 1\n1 6\n6 8\n8 9\n9 2\n9 3\n9 7\n"
},
"output": {
"stdout": "52"
}
},
{
"input": {
"stdin": "9\n1 6\n1 4\n1 5\n1 9\n1 8\n1 7\n1 3\n1 2\n"
},
"output": {
"stdout": "24"
}
},
{
"input": {
"stdin": "7\n1 2\n2 3\n3 6\n6 7\n7 4\n4 5\n"
},
"output": {
"stdout": "28"
}
},
{
"input": {
"stdin": "8\n4 1\n1 3\n3 6\n6 2\n2 7\n7 5\n5 8\n"
},
"output": {
"stdout": "36"
}
},
{
"input": {
"stdin": "5\n1 4\n4 3\n3 2\n2 5\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "5\n1 4\n1 2\n1 3\n1 5\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "10\n5 1\n8 4\n4 9\n9 6\n6 1\n6 2\n2 7\n6 3\n6 10\n"
},
"output": {
"stdout": "42\n"
}
},
{
"input": {
"stdin": "8\n4 2\n1 3\n3 6\n6 2\n2 7\n7 5\n1 8\n"
},
"output": {
"stdout": "34\n"
}
},
{
"input": {
"stdin": "10\n5 1\n8 4\n4 9\n9 6\n8 1\n6 2\n2 7\n6 3\n6 10\n"
},
"output": {
"stdout": "50\n"
}
},
{
"input": {
"stdin": "8\n4 2\n1 3\n3 6\n6 2\n4 7\n7 5\n1 8\n"
},
"output": {
"stdout": "36\n"
}
},
{
"input": {
"stdin": "4\n1 3\n2 4\n1 2\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "7\n1 2\n2 6\n3 6\n6 7\n7 4\n1 5\n"
},
"output": {
"stdout": "26\n"
}
},
{
"input": {
"stdin": "4\n2 1\n2 3\n3 4\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "4\n2 3\n2 4\n1 2\n"
},
"output": {
"stdout": "9\n"
}
}
] |
{
"tags": [
"dfs and similar",
"dp",
"trees"
],
"title": "Tree Painting"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n;\nvector<int> ve[200005];\nint siz[200005];\nlong long ans;\nvoid dfs(int a, int b) {\n siz[a] = 1;\n for (auto it : ve[a]) {\n if (it == b) continue;\n dfs(it, a);\n siz[a] += siz[it];\n }\n}\nvoid dfs2(int a, int b, long long s) {\n ans = max(ans, s);\n for (auto it : ve[a]) {\n if (it == b) continue;\n dfs2(it, a, (s - siz[it]) + (n - siz[it]));\n }\n return;\n}\nint main() {\n scanf(\"%d\", &n);\n for (int i = 1; i < n; i++) {\n int u, v;\n scanf(\"%d%d\", &u, &v);\n ve[u].push_back(v);\n ve[v].push_back(u);\n }\n dfs(1, 0);\n for (int i = 1; i <= n; i++) ans += siz[i];\n dfs2(1, 0, ans);\n cout << ans << endl;\n return 0;\n}\n",
"java": "//package cfed67;\nimport java.io.*;\nimport java.util.*;\n\npublic class E{\n\t// ------------------------\n\tprivate static HashMap<Integer,HashSet<Integer>>tree=new HashMap<Integer,HashSet<Integer>>();\n\tstatic long points=0;\n\tstatic long[]size;\n\tstatic long[]pts;\n\tstatic int n;\n\tpublic static void main(String[] args) {\n\t\tMyScanner sc = new MyScanner();\n\t\tout = new PrintWriter(new BufferedOutputStream(System.out));\n\t\t// ------------------------\n\t\tn=sc.nextInt();\n\t\tsize=new long[n];\n\t\tpts=new long[n];\n\t\tfor(int i=0;i<n;i++)\n\t\t\ttree.put(i,new HashSet<Integer>());\n\t\tfor(int i=0;i<n-1;i++){\n\t\t\tint a=sc.nextInt()-1,b=sc.nextInt()-1;\n\t\t\ttree.get(a).add(b);\n\t\t\ttree.get(b).add(a);\n\t\t}\n\t\tpoints=points(0,-1);\n\t\tpts[0]=points;\n\t\tgetPts(0,-1);\n\t\tout.println(points);\n\t\t// ------------------------\n\t\tout.close();\n\t}\n\t//------------------------\n\tprivate static void getPts(int i,int p){\n\t\tif(i!=0){\n\t\t\tpts[i]=pts[p]+n-2*size[i];\n\t\t\tpoints=Math.max(points,pts[i]);\n\t\t}\n\t\tfor(int j:tree.get(i))\n\t\t\tif(j!=p)\n\t\t\t\tgetPts(j,i);\n\t}\n\tprivate static long points(int i,int p){\n\t\tlong pts=0;\n\t\tsize[i]=1;\n\t\tfor(int j:tree.get(i))\n\t\t\tif(j!=p){\n\t\t\t\tpts+=points(j,i);\n\t\t\t\tsize[i]+=size[j];\n\t\t\t}\n\t\treturn pts+size[i];\n\t}\n\tpublic static PrintWriter out;\n\tpublic static class MyScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\t\tpublic MyScanner() {\n\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t}\n\t\tString next() {\n\t\t\twhile (st == null || !st.hasMoreElements()) {\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\t\tdouble nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\t\tString nextLine() {\n\t\t\tString str = \"\";\n\t\t\ttry {\n\t\t\t\tstr = br.readLine();\n\t\t\t} catch (IOException e) {\n\t\t\t\te.printStackTrace();\n\t\t\t}\n\t\t\treturn str;\n\t\t}\n\t}\n}\n",
"python": "import sys\nimport threading\nfrom collections import defaultdict\n\ninput = sys.stdin.readline\nsys.setrecursionlimit(10**7)\n\n\ndef maxPaintPoint(n, pairs):\n graph = defaultdict(list)\n for a, b in pairs:\n graph[a].append(b)\n graph[b].append(a)\n\n scores = [0] * (n + 1)\n aggregates = [0] * (n + 1)\n def score(v, parent):\n for c in graph[v]:\n if c != parent:\n scores[v] += score(c, v)\n scores[v] += 1\n return scores[v]\n\n score(1, None)\n maxPoint = sum(scores)\n\n def reroot(v, parent, point):\n nonlocal maxPoint\n\n maxPoint = max(maxPoint, point)\n for c in graph[v]:\n if c != parent:\n childScore, parentScore = scores[c], scores[v]\n scores[c], scores[v] = parentScore, parentScore - childScore\n delta = scores[c] + scores[v] - (childScore + parentScore)\n reroot(c, v, point + delta)\n scores[c], scores[v] = childScore, parentScore\n\n reroot(1, None, maxPoint)\n return maxPoint\n\n\ndef solve():\n n = int(input())\n pairs = [map(int, input().split()) for _ in range(n - 1)]\n print(maxPaintPoint(n, pairs))\n\n\nthreading.stack_size(1024 * 100000)\nthread = threading.Thread(target=solve)\nthread.start()\nthread.join()\n"
}
|
|
|
# Shortest Cycle
You are given n integer numbers a_1, a_2, ..., a_n. Consider graph on n nodes, in which nodes i, j (i≠ j) are connected if and only if, a_i AND a_j≠ 0, where AND denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND).
Find the length of the shortest cycle in this graph or determine that it doesn't have cycles at all.
Input
The first line contains one integer n (1 ≤ n ≤ 10^5) — number of numbers.
The second line contains n integer numbers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{18}).
Output
If the graph doesn't have any cycles, output -1. Else output the length of the shortest cycle.
Examples
Input
4
3 6 28 9
Output
4
Input
5
5 12 9 16 48
Output
3
Input
4
1 2 4 8
Output
-1
Note
In the first example, the shortest cycle is (9, 3, 6, 28).
In the second example, the shortest cycle is (5, 12, 9).
The graph has no cycles in the third example.
|
[
{
"input": {
"stdin": "4\n3 6 28 9\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "4\n1 2 4 8\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "5\n5 12 9 16 48\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "20\n17592722915328 137438953728 0 549755822096 2251800350556160 70368744185856 0 2251804108652544 0 1099511628288 17592186045440 8864812498944 79164837199872 0 68719477760 1236950581248 549755814400 0 17179869456 21474836480\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "5\n292733975779082240 18014398509482240 306244774661193728 4504699138998272 1099511628032\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "18\n277025390592 9007199254773760 140737488371712 72057594037944320 288230378299195392 140737555464192 2199024304128 576460752303427584 201326592 1048608 137439477760 2199023779840 4128 648518346341351424 141733920768 297237575406452736 275012124672 4295000064\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "100\n0 0 0 0 0 16896 0 0 0 393216 537919488 0 0 0 147456 1310720 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2251799813685312 0 0 0 0 105553116266496 0 0 576 3377699720527872 0 0 0 0 0 0 0 0 17867063951360 0 0 1196268651020288 0 0 0 0 146028888064 0 9126805504 0 0 0 0 0 0 0 0 412316860416 0 0 0 52776558133248 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "9\n1161084278931456 1125899906843648 1140850688 274877972480 70643622084608 633318697598976 1073807360 35184439197696 562949953422336\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "35\n1099511627784 36028797019488256 576460752303423490 17592186044672 18014398510006272 274877923328 2252899325313024 16777248 4297064448 4210688 17592454479872 4505798650626048 4503599627371520 612489549322387456 2251808403619840 1074790400 562958543355904 549756862464 562949953421440 8320 9007199523176448 8796093022464 8796093030400 2199040032768 70368744181760 4295098368 288230376151842816 18084767253659648 2097184 5120 9007474132647936 1077936128 514 288230925907525632 520\n"
},
"output": {
"stdout": "35\n"
}
},
{
"input": {
"stdin": "14\n72058143793741824 144115325514809344 36028797018966016 144115188080050176 135168 1125899911036928 36028797019095040 412316860416 8796093024256 1126449662656512 8864812498944 72057662757404672 274877906952 4104\n"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "2\n267367244641009858 102306300054748095\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "10\n565299879350784 4508014854799360 0 0 0 4503635094929409 18014810826352646 306526525186934784 0 0\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n25 3 44 6 48\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "20\n67109888 0 0 67108896 562949953422336 0 68719480832 134217760 562949954469888 0 36028797153181696 0 36028865738440704 0 0 0 4098 1048578 0 0\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "100\n0 0 0 0 0 0 0 0 0 70368744472576 0 0 0 0 0 0 0 0 0 0 0 144678138029342720 0 0 0 0 0 281474977767489 0 16783360 0 0 0 0 0 288793463544086528 0 0 0 0 0 0 0 0 0 18144089473024 20 0 0 0 0 0 0 0 0 0 0 0 0 144115222435725440 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18014419984875520 0 0 0 0 0 0 0 0 0 274878432256 0 0 0 38280596899758080 0 0 0 0 0 0 0 18014398509813764 72057594046316576 0\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "35\n0 288230376151711748 276824064 288230444871188480 563499709235200 550024249344 36864 68719476992 160 0 0 0 0 0 0 0 0 2199023321088 33024 0 0 0 0 0 2814749767106560 0 34359738372 576460752370532352 0 69632 2199023271936 0 2251834173423616 75497472 576460752303439872\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "7\n69206016 134250496 2149580800 2147516416 144115188142964736 146366987889541120 2251799947902976\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "6\n97 3 6 28 40 80\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "179\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "12\n2176 562967133290496 1073807360 17179871232 9011597301252096 4398046511168 9007267974217728 562949953421376 68719607808 35185445830656 196608 35184372088960\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "25\n4398046511360 562949957615616 17179885568 70403103916032 4398048608256 262152 5242880 281474976710657 268435968 72057594037928064 8796093022209 1048704 633318697598976 72057611217797120 171798691840 35184372089088 40960 8796093153280 163840 137438953480 281474976711168 270336 2251799815782400 2251800082120704 35184372105216\n"
},
"output": {
"stdout": "25\n"
}
},
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] |
{
"tags": [
"bitmasks",
"brute force",
"graphs",
"shortest paths"
],
"title": "Shortest Cycle"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst double pi = acos(-1);\nconst double eps = 1e-6;\nconst long long INF = 0x3f3f3f3f3f3f3f3fll;\nconst int inf = 0x3f3f3f3f;\nconst int mod = 998244353;\nconst int maxn = 2e5 + 100;\nlong long a[maxn];\nint mp[300][300], dis[300][300];\nvoid solve() {\n int n, c = 0;\n scanf(\"%d\", &n);\n for (int i = 1; (i) <= (n); i++) {\n long long mark;\n scanf(\"%lld\", &mark);\n if (mark) a[++c] = mark;\n }\n if (c >= 200) {\n printf(\"3\\n\");\n return;\n }\n memset(mp, inf, sizeof(mp));\n memset(dis, inf, sizeof(dis));\n for (int i = 1; (i) <= (c); i++)\n for (int j = 1; (j) <= (c); j++)\n if (i != j && (a[i] & a[j])) mp[i][j] = dis[i][j] = 1;\n int MinCost = inf;\n for (int k = 1; k <= c; k++) {\n for (int i = 1; i < k; i++)\n for (int j = i + 1; j < k; j++)\n MinCost = (int)min(1LL * MinCost,\n 1LL * dis[i][j] + 1LL * mp[i][k] + 1LL * mp[k][j]);\n for (int i = 1; i <= c; i++)\n for (int j = 1; j <= c; j++)\n dis[i][j] =\n (int)min(1LL * dis[i][j], 1LL * dis[i][k] + 1LL * dis[k][j]);\n }\n printf(\"%d\\n\", MinCost == inf ? -1 : MinCost);\n}\nint main() {\n solve();\n return 0;\n}\n",
"java": "import java.io.*;\nimport java.util.*;\npublic class D{\n public static void main(String[] args) throws Exception{\n Scanner scan = new Scanner(System.in);\n //Scanner scan = new Scanner(new File(\"D.in\"));\n \n int n = scan.nextInt();\n ArrayList<Long> a = new ArrayList<>();\n for(int i =0; i<n; i++){\n long x = scan.nextLong();\n if(x!=0)\n a.add(x);\n }\n if(a.size() > 128) System.out.print(3);\n else if(a.size() < 3) System.out.print(-1);\n else{\n n = a.size();\n ArrayList<Integer>[] graph = new ArrayList[n];\n for(int i =0; i< n; i++){\n graph[i] = new ArrayList<>();\n }\n for(int i = 0; i< n; i++){\n for(int j = i+1; j< n; j++){\n if((a.get(i)& a.get(j))!=0){\n graph[i].add(j);\n graph[j].add(i);\n }\n }\n }\n int[] depth = new int[n];\n int[] parent = new int[n];\n int ans = Integer.MAX_VALUE;\n for(int i = 0; i< n; i++){\n Arrays.fill(parent,-1);\n Arrays.fill(depth, -1);\n ans = Math.min(ans, bfs(graph, parent, depth, i));\n }\n System.out.print(ans==Integer.MAX_VALUE?-1: ans);\n }\n\n }\n static int bfs(ArrayList<Integer> graph[],int parent[],int depth[],int v){\n int ans = Integer.MAX_VALUE;\n Queue<Integer> q = new LinkedList<>();\n q.add(v);\n parent[v] = v;\n depth[v] = 0;\n while(!q.isEmpty()){\n int cur = ((LinkedList<Integer>) q).pop();\n for(int i: graph[cur]){\n if(depth[i] == -1){ //if newly discovered\n depth[i] = depth[cur]+1;\n parent[i] = cur;\n ((LinkedList<Integer>) q).add(i);\n } \n else if(parent[cur] != i){ //if discovered connection is not previous parent [we want the child to be original vector]\n ans = Math.min(depth[i]+depth[cur]+1, ans);\n }\n }\n }\n return ans;\n }\n}",
"python": "import sys, os, re, datetime, copy\nfrom collections import *\nfrom bisect import *\ndef mat(v, *dims):\n def submat(i):\n if i == len(dims)-1: return [copy.copy(v) for _ in range(dims[-1])]\n return [submat(i+1) for _ in range(dims[i])]\n return submat(0)\n__cin__ = None\ndef cin():\n global __cin__\n if __cin__ is None: __cin__ = iter(input().split(\" \"))\n try: return next(__cin__)\n except StopIteration:\n __cin__ = iter(input().split(\" \"))\n return next(__cin__)\ndef iarr(n): return [int(cin()) for _ in range(n)]\ndef farr(n): return [float(cin()) for _ in range(n)]\ndef sarr(n): return [cin() for _ in range(n)]\ndef carr(n): return input()\ndef imat(n, m): return [iarr(m) for _ in range(n)]\ndef fmat(n, m): return [farr(m) for _ in range(n)]\ndef smat(n, m): return [sarr(m) for _ in range(n)]\ndef cmat(n, m): return [input() for _ in range(n)]\n\nN = 64\nn = int(cin())\ntmp = iarr(n)\nt = mat(0, N)\ng = mat([], N)\nadj = mat(set(), n)\nINF = 100000\nans = INF\n\na = list(filter(lambda x: x > 0, tmp))\nn = len(a)\n \nfor j in range(N):\n for i in range(n):\n v = a[i]\n t[j] += (v>>j)&1\n if t[j] >= 3:\n print(\"3\")\n exit(0)\n if ((v>>j)&1) == 1:\n g[j].append(i)\n \nfor i in range(N):\n if len(g[i]) == 2:\n adj[g[i][0]].add(g[i][1])\n adj[g[i][1]].add(g[i][0])\n \ndef bfs(i):\n dist = mat(INF, n)\n q = deque()\n q.append(i)\n dist[i] = 0\n \n while len(q) > 0:\n u = q.popleft()\n for v in adj[u]:\n if dist[v] == INF:\n q.append(v)\n dist[v] = dist[u]+1\n elif dist[v]+1 != dist[u]:\n return dist[v]+dist[u]+1\n return INF\n \nfor i in range(n):\n ans = min(ans, bfs(i))\n\nprint(-1 if ans == INF else ans)"
}
|
|
|
# Wooden Raft
Suppose you are stuck on a desert island. The only way to save yourself is to craft a wooden raft and go to the sea. Fortunately, you have a hand-made saw and a forest nearby. Moreover, you've already cut several trees and prepared it to the point that now you have n logs and the i-th log has length a_i.
The wooden raft you'd like to build has the following structure: 2 logs of length x and x logs of length y. Such raft would have the area equal to x ⋅ y. Both x and y must be integers since it's the only way you can measure the lengths while being on a desert island. And both x and y must be at least 2 since the raft that is one log wide is unstable.
You can cut logs in pieces but you can't merge two logs in one. What is the maximum area of the raft you can craft?
Input
The first line contains the only integer n (1 ≤ n ≤ 5 ⋅ 10^5) — the number of logs you have.
The second line contains n integers a_1, a_2, ..., a_n (2 ≤ a_i ≤ 5 ⋅ 10^5) — the corresponding lengths of the logs.
It's guaranteed that you can always craft at least 2 × 2 raft.
Output
Print the only integer — the maximum area of the raft you can craft.
Examples
Input
1
9
Output
4
Input
9
9 10 9 18 9 9 9 28 9
Output
90
Note
In the first example, you can cut the log of the length 9 in 5 parts: 2 + 2 + 2 + 2 + 1. Now you can build 2 × 2 raft using 2 logs of length x = 2 and x = 2 logs of length y = 2.
In the second example, you can cut a_4 = 18 into two pieces 9 + 9 and a_8 = 28 in three pieces 10 + 9 + 9. Now you can make 10 × 9 raft using 2 logs of length 10 and 10 logs of length 9.
|
[
{
"input": {
"stdin": "1\n9\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "9\n9 10 9 18 9 9 9 28 9\n"
},
"output": {
"stdout": "90\n"
}
},
{
"input": {
"stdin": "5\n12 12 16 16 16\n"
},
"output": {
"stdout": "55\n"
}
},
{
"input": {
"stdin": "10\n21 28 33 27 33 28 34 25 24 11\n"
},
"output": {
"stdout": "198\n"
}
},
{
"input": {
"stdin": "9\n3 4 3 5 3 3 10 6 4\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "7\n28 23 27 12 28 23 14\n"
},
"output": {
"stdout": "120\n"
}
},
{
"input": {
"stdin": "10\n3 8 15 14 7 15 8 9 5 15\n"
},
"output": {
"stdout": "63\n"
}
},
{
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"stdin": "30\n6 8 3 5 7 10 6 7 30 21 5 4 6 2 3 16 10 15 3 12 12 5 5 14 4 5 3 4 3 5\n"
},
"output": {
"stdout": "114\n"
}
},
{
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"stdin": "10\n28 22 16 35 32 23 22 35 26 35\n"
},
"output": {
"stdout": "209\n"
}
},
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"stdin": "20\n5 4 8 2 8 6 7 5 3 4 4 5 4 2 4 14 2 2 4 2\n"
},
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"stdout": "35\n"
}
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"input": {
"stdin": "10\n2 3 3 3 2 2 3 3 10 10\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "2\n11 12\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "30\n11 18 20 15 4 4 2 7 8 2 22 23 18 27 11 21 47 7 19 10 8 4 32 4 20 22 29 8 5 4\n"
},
"output": {
"stdout": "261\n"
}
},
{
"input": {
"stdin": "5\n28 28 29 26 28\n"
},
"output": {
"stdout": "115\n"
}
},
{
"input": {
"stdin": "10\n2 2 2 4 3 2 2 5 5 4\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "20\n5 4 6 2 1 6 13 5 3 0 4 5 4 2 4 14 2 2 4 3\n"
},
"output": {
"stdout": "40\n"
}
},
{
"input": {
"stdin": "30\n4 8 3 5 7 10 2 7 30 21 5 4 6 2 3 16 10 15 0 12 12 5 5 14 4 5 3 4 3 5\n"
},
"output": {
"stdout": "112\n"
}
},
{
"input": {
"stdin": "10\n1 3 3 3 1 3 3 3 18 1\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "30\n12 8 3 5 7 10 6 7 30 21 5 4 6 2 3 16 10 15 0 12 12 5 5 14 4 5 3 4 3 5\n"
},
"output": {
"stdout": "120\n"
}
},
{
"input": {
"stdin": "9\n2 7 4 1 3 3 10 15 2\n"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "9\n10 10 19 18 9 7 1 27 9\n"
},
"output": {
"stdout": "81\n"
}
},
{
"input": {
"stdin": "9\n3 7 3 5 3 3 10 6 2\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "10\n0 8 20 14 7 15 1 1 9 8\n"
},
"output": {
"stdout": "56\n"
}
},
{
"input": {
"stdin": "10\n16 22 12 35 5 23 22 35 14 35\n"
},
"output": {
"stdout": "165\n"
}
},
{
"input": {
"stdin": "20\n5 4 8 2 8 6 13 5 3 4 4 5 4 2 4 14 2 2 4 3\n"
},
"output": {
"stdout": "52\n"
}
},
{
"input": {
"stdin": "10\n2 8 20 14 7 15 1 9 5 15\n"
},
"output": {
"stdout": "63\n"
}
},
{
"input": {
"stdin": "5\n45 19 16 16 23\n"
},
"output": {
"stdout": "96\n"
}
},
{
"input": {
"stdin": "9\n9 10 14 18 9 7 1 28 9\n"
},
"output": {
"stdout": "72\n"
}
},
{
"input": {
"stdin": "10\n0 8 20 14 7 15 1 9 9 15\n"
},
"output": {
"stdout": "70\n"
}
},
{
"input": {
"stdin": "9\n10 10 19 18 9 13 1 27 9\n"
},
"output": {
"stdout": "90\n"
}
},
{
"input": {
"stdin": "5\n12 12 16 16 23\n"
},
"output": {
"stdout": "60\n"
}
},
{
"input": {
"stdin": "10\n0 8 20 14 7 15 1 9 9 8\n"
},
"output": {
"stdout": "63\n"
}
},
{
"input": {
"stdin": "30\n12 8 3 5 7 10 2 7 30 21 5 4 6 2 3 16 10 15 0 12 12 5 5 14 4 5 3 4 3 5\n"
},
"output": {
"stdout": "114\n"
}
},
{
"input": {
"stdin": "20\n5 4 8 2 8 6 13 5 3 4 4 5 4 2 4 14 2 2 4 2\n"
},
"output": {
"stdout": "52\n"
}
},
{
"input": {
"stdin": "10\n16 23 12 35 5 23 22 41 14 35\n"
},
"output": {
"stdout": "176\n"
}
},
{
"input": {
"stdin": "10\n2 3 3 3 1 3 3 3 10 10\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "30\n11 18 20 17 4 4 2 7 8 2 22 23 18 27 11 21 47 7 19 10 8 4 32 4 20 22 29 8 5 4\n"
},
"output": {
"stdout": "261\n"
}
},
{
"input": {
"stdin": "30\n11 18 20 17 4 4 2 7 8 2 22 23 18 27 11 21 47 7 19 10 8 4 32 4 30 22 29 8 5 4\n"
},
"output": {
"stdout": "270\n"
}
},
{
"input": {
"stdin": "10\n28 22 12 35 5 23 22 35 26 35\n"
},
"output": {
"stdout": "187\n"
}
},
{
"input": {
"stdin": "9\n2 7 3 5 3 3 10 15 2\n"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "9\n10 10 19 18 9 13 0 47 9\n"
},
"output": {
"stdout": "99\n"
}
},
{
"input": {
"stdin": "20\n5 4 6 2 1 6 9 5 0 0 4 5 4 2 4 14 2 2 4 3\n"
},
"output": {
"stdout": "36\n"
}
},
{
"input": {
"stdin": "10\n21 21 57 27 18 47 24 25 24 11\n"
},
"output": {
"stdout": "210\n"
}
},
{
"input": {
"stdin": "7\n28 23 27 20 53 23 14\n"
},
"output": {
"stdout": "143\n"
}
},
{
"input": {
"stdin": "10\n21 40 57 27 18 47 24 25 24 11\n"
},
"output": {
"stdout": "220\n"
}
},
{
"input": {
"stdin": "9\n10 10 14 18 9 7 1 27 9\n"
},
"output": {
"stdout": "72\n"
}
},
{
"input": {
"stdin": "10\n2 2 2 2 3 2 2 5 8 4\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "30\n11 18 20 17 4 0 2 7 8 2 22 23 18 27 11 21 47 7 19 10 8 4 32 4 30 22 58 8 5 4\n"
},
"output": {
"stdout": "301\n"
}
},
{
"input": {
"stdin": "10\n0 8 20 2 7 15 1 1 9 8\n"
},
"output": {
"stdout": "48\n"
}
},
{
"input": {
"stdin": "10\n1 3 3 1 1 1 3 3 18 1\n"
},
"output": {
"stdout": "18\n"
}
}
] |
{
"tags": [
"binary search",
"math",
"number theory"
],
"title": "Wooden Raft"
}
|
{
"cpp": "#include <bits/stdc++.h>\n#pragma GCC optimize(\"O3\")\nusing namespace std;\nconst int maxN = 5 * (int)1e5 + 100;\nint pref[maxN];\nint n;\nint a[maxN];\nint get(int l, int r) {\n r = min(r, maxN - 1);\n if (l > r) return 0;\n if (l == 0) return pref[r];\n return pref[r] - pref[l - 1];\n}\nlong long cnt = 0;\nbool can(int x, int y, long long cnt) {\n if (2 * x > a[1] && x > a[2]) return false;\n long long f = cnt - 2 * (x / y);\n if (f - 2 >= x) return true;\n if (f < x) return false;\n int cnt2 = 0;\n int cnt1 = 0;\n for (int k = 0; k * y < maxN; k++) {\n int l = k * y;\n int r = min(k * y + y - 1, maxN - 1);\n if (2 * x <= r) {\n cnt2 += get(max(2 * x, l + (2 * x) % y), r);\n }\n if (x <= r) {\n cnt1 += get(max(x, l + (x % y)), r);\n }\n }\n long long g = cnt - (2 * x) / y;\n if (a[2] >= x && f - 2 + min(2, cnt1) >= x) return true;\n if (a[1] >= 2 * x && g - 1 + min(1, cnt2) >= x) return true;\n return false;\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(nullptr);\n cin >> n;\n for (int i = 1; i <= n; i++) {\n cin >> a[i];\n pref[a[i]]++;\n }\n sort(a + 1, a + n + 1);\n reverse(a + 1, a + n + 1);\n int at_most = max(a[1] / 2, a[2]);\n for (int i = 1; i < maxN; i++) pref[i] += pref[i - 1];\n long long best = 0;\n for (int y = 2; y < maxN; y++) {\n cnt = 0;\n for (int k = 1; k * y < maxN; k++) {\n cnt += 1LL * get(k * y, k * y + y - 1) * k;\n }\n int r = at_most + 1;\n int l = 2;\n if (!can(l, y, cnt)) continue;\n while (r - l > 1) {\n int mid = (l + r) / 2;\n if (can(mid, y, cnt))\n l = mid;\n else\n r = mid;\n }\n best = max(best, 1LL * y * l);\n }\n cout << best << '\\n';\n return 0;\n}\n",
"java": null,
"python": null
}
|
|
|
# Good Numbers (easy version)
The only difference between easy and hard versions is the maximum value of n.
You are given a positive integer number n. You really love good numbers so you want to find the smallest good number greater than or equal to n.
The positive integer is called good if it can be represented as a sum of distinct powers of 3 (i.e. no duplicates of powers of 3 are allowed).
For example:
* 30 is a good number: 30 = 3^3 + 3^1,
* 1 is a good number: 1 = 3^0,
* 12 is a good number: 12 = 3^2 + 3^1,
* but 2 is not a good number: you can't represent it as a sum of distinct powers of 3 (2 = 3^0 + 3^0),
* 19 is not a good number: you can't represent it as a sum of distinct powers of 3 (for example, the representations 19 = 3^2 + 3^2 + 3^0 = 3^2 + 3^1 + 3^1 + 3^1 + 3^0 are invalid),
* 20 is also not a good number: you can't represent it as a sum of distinct powers of 3 (for example, the representation 20 = 3^2 + 3^2 + 3^0 + 3^0 is invalid).
Note, that there exist other representations of 19 and 20 as sums of powers of 3 but none of them consists of distinct powers of 3.
For the given positive integer n find such smallest m (n ≤ m) that m is a good number.
You have to answer q independent queries.
Input
The first line of the input contains one integer q (1 ≤ q ≤ 500) — the number of queries. Then q queries follow.
The only line of the query contains one integer n (1 ≤ n ≤ 10^4).
Output
For each query, print such smallest integer m (where n ≤ m) that m is a good number.
Example
Input
7
1
2
6
13
14
3620
10000
Output
1
3
9
13
27
6561
19683
|
[
{
"input": {
"stdin": "7\n1\n2\n6\n13\n14\n3620\n10000\n"
},
"output": {
"stdout": "1\n3\n9\n13\n27\n6561\n19683\n"
}
},
{
"input": {
"stdin": "1\n450283905890997363\n"
},
"output": {
"stdout": "450283905890997363\n"
}
},
{
"input": {
"stdin": "100\n1\n8\n4\n6\n5\n4\n4\n6\n8\n3\n9\n5\n7\n8\n8\n5\n9\n6\n9\n4\n5\n6\n4\n4\n7\n1\n2\n2\n5\n6\n1\n5\n10\n9\n10\n9\n3\n1\n2\n3\n2\n6\n9\n2\n9\n5\n7\n7\n2\n6\n9\n5\n1\n7\n8\n3\n7\n9\n3\n1\n7\n1\n2\n4\n7\n2\n7\n1\n1\n10\n8\n5\n7\n7\n10\n8\n1\n7\n5\n10\n7\n6\n6\n6\n7\n4\n9\n3\n4\n9\n10\n5\n1\n2\n6\n9\n3\n8\n10\n9\n"
},
"output": {
"stdout": "1\n9\n4\n9\n9\n4\n4\n9\n9\n3\n9\n9\n9\n9\n9\n9\n9\n9\n9\n4\n9\n9\n4\n4\n9\n1\n3\n3\n9\n9\n1\n9\n10\n9\n10\n9\n3\n1\n3\n3\n3\n9\n9\n3\n9\n9\n9\n9\n3\n9\n9\n9\n1\n9\n9\n3\n9\n9\n3\n1\n9\n1\n3\n4\n9\n3\n9\n1\n1\n10\n9\n9\n9\n9\n10\n9\n1\n9\n9\n10\n9\n9\n9\n9\n9\n4\n9\n3\n4\n9\n10\n9\n1\n3\n9\n9\n3\n9\n10\n9\n"
}
},
{
"input": {
"stdin": "1\n387420490\n"
},
"output": {
"stdout": "387420490\n"
}
},
{
"input": {
"stdin": "8\n1\n2\n6\n13\n14\n3620\n10000\n1000000000000000000\n"
},
"output": {
"stdout": "1\n3\n9\n13\n27\n6561\n19683\n1350851717672992089\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n45\n46\n47\n48\n49\n50\n51\n52\n53\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n72\n73\n74\n75\n76\n77\n78\n79\n80\n81\n82\n83\n84\n85\n86\n87\n88\n89\n90\n91\n92\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n3\n3\n4\n9\n9\n9\n9\n9\n10\n12\n12\n13\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n28\n30\n30\n31\n36\n36\n36\n36\n36\n37\n39\n39\n40\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n82\n84\n84\n85\n90\n90\n90\n90\n90\n91\n93\n93\n94\n108\n108\n108\n108\n108\n108\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n14\n10\n11\n12\n13\n14\n15\n16\n13\n18\n19\n20\n21\n31\n22\n28\n47\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n8\n46\n20\n48\n49\n50\n51\n52\n66\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n24\n73\n74\n75\n76\n77\n78\n79\n104\n81\n82\n47\n137\n85\n86\n87\n88\n22\n90\n91\n97\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n3\n3\n4\n9\n9\n9\n9\n27\n10\n12\n12\n13\n27\n27\n27\n13\n27\n27\n27\n27\n31\n27\n28\n81\n27\n27\n28\n30\n30\n31\n36\n36\n36\n36\n36\n37\n39\n39\n40\n81\n81\n81\n81\n9\n81\n27\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n27\n81\n81\n81\n81\n81\n81\n81\n108\n81\n82\n81\n243\n85\n90\n90\n90\n27\n90\n91\n108\n93\n94\n108\n108\n108\n108\n108\n108\n"
}
},
{
"input": {
"stdin": "1\n12673752953086258\n"
},
"output": {
"stdout": "16677181699666569\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n14\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n22\n28\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n8\n46\n47\n48\n49\n50\n51\n52\n66\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n24\n73\n74\n75\n76\n77\n78\n79\n80\n81\n82\n83\n137\n85\n86\n87\n88\n89\n90\n91\n97\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n3\n3\n4\n9\n9\n9\n9\n27\n10\n12\n12\n13\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n28\n27\n27\n27\n28\n30\n30\n31\n36\n36\n36\n36\n36\n37\n39\n39\n40\n81\n81\n81\n81\n9\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n27\n81\n81\n81\n81\n81\n81\n81\n81\n81\n82\n84\n243\n85\n90\n90\n90\n90\n90\n91\n108\n93\n94\n108\n108\n108\n108\n108\n108\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n14\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n22\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n45\n46\n47\n48\n49\n50\n51\n52\n53\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n72\n73\n74\n75\n76\n77\n78\n79\n80\n81\n82\n83\n137\n85\n86\n87\n88\n89\n90\n91\n97\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n3\n3\n4\n9\n9\n9\n9\n27\n10\n12\n12\n13\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n28\n30\n30\n31\n36\n36\n36\n36\n36\n37\n39\n39\n40\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n82\n84\n243\n85\n90\n90\n90\n90\n90\n91\n108\n93\n94\n108\n108\n108\n108\n108\n108\n"
}
},
{
"input": {
"stdin": "7\n4\n2\n19\n1\n2\n4327\n11100\n"
},
"output": {
"stdout": "4\n3\n27\n1\n3\n6561\n19683\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n14\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n22\n28\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n8\n46\n47\n48\n49\n50\n51\n52\n53\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n24\n73\n74\n75\n76\n77\n78\n79\n80\n81\n82\n83\n137\n85\n86\n87\n88\n89\n90\n91\n97\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n3\n3\n4\n9\n9\n9\n9\n27\n10\n12\n12\n13\n27\n27\n27\n27\n27\n27\n27\n27\n27\n27\n28\n27\n27\n27\n28\n30\n30\n31\n36\n36\n36\n36\n36\n37\n39\n39\n40\n81\n81\n81\n81\n9\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n81\n27\n81\n81\n81\n81\n81\n81\n81\n81\n81\n82\n84\n243\n85\n90\n90\n90\n90\n90\n91\n108\n93\n94\n108\n108\n108\n108\n108\n108\n"
}
},
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"output": {
"stdout": "4\n4\n28\n1\n3\n6561\n19683\n"
}
},
{
"input": {
"stdin": "7\n1\n2\n10\n13\n14\n3620\n10000\n"
},
"output": {
"stdout": "1\n3\n10\n13\n27\n6561\n19683\n"
}
},
{
"input": {
"stdin": "1\n456642039\n"
},
"output": {
"stdout": "516560652\n"
}
},
{
"input": {
"stdin": "1\n286582383\n"
},
"output": {
"stdout": "387420489\n"
}
}
] |
{
"tags": [
"brute force",
"greedy",
"implementation"
],
"title": "Good Numbers (easy version)"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint p[60], T;\nint main() {\n scanf(\"%d\", &T);\n while (T--) {\n memset(p, 0, sizeof(p));\n long long n, pos = 0, sum = 0, P = 1;\n scanf(\"%lld\", &n);\n while (n) p[pos++] = n % 3, n /= 3;\n int k = pos - 1;\n while (k && p[k] != 2) k--;\n for (int i = k - 1; i >= 0; i--) p[i] = 0;\n while (p[k] == 2) p[k] = 0, p[++k]++;\n pos = max(pos, k + 1LL);\n for (int i = 0; i < pos; i++) {\n if (p[i] == 1) sum += P;\n P *= 3;\n }\n printf(\"%lld\\n\", sum);\n }\n return 0;\n}\n",
"java": "import java.io.BufferedWriter;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.OutputStream;\nimport java.io.OutputStreamWriter;\nimport java.io.PrintWriter;\nimport java.io.Writer;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\nimport java.util.*;\nimport java.io.*;\nimport java.math.*;\npublic class Main6{\n\nstatic class Pair\n { \n int x;\n int y;\n\t\tint z;\n\t\tint d;\n public Pair(int x,int y,int z,int d) \n { \n this.x= x; \n this.y= y;\n\t\t\tthis.z=z;\n\t\t\tthis.d=d;\n } \n \n @Override\n public int hashCode() \n { \n final int temp = 14; \n int ans = 1; \n ans =x*31+y*13; \n return ans; \n } \n \n // Equal objects must produce the same \n // hash code as long as they are equal \n @Override\n public boolean equals(Object o) \n { \n if (this == o) { \n return true; \n } \n if (o == null) { \n return false; \n } \n if (this.getClass() != o.getClass()) { \n return false; \n } \n Pair other = (Pair)o; \n if (this.x != other.x || this.y!=other.y) { \n return false; \n } \n return true; \n } \n \n } \n static class Pair1\n {\n String x;\n int y;\n int z;\n \n }\n static class Compare\n { \n static void compare(Pair arr[], int n) \n { \n // Comparator to sort the pair according to second element \n Arrays.sort(arr, new Comparator<Pair>() { \n @Override public int compare(Pair p1, Pair p2) \n { \n if(p1.x>p2.x)\n {\n return 1;\n }\n else if(p1.x<p2.x)\n {\n return -1;\n }\n else\n {\n if(p1.y>p2.y)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\treturn 1;\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse if(p1.y<p2.y)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\treturn -1;\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tif(p1.z>p2.z)\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\treturn 1;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\telse if(p1.z<p2.z)\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\treturn -1;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\telse\n\t\t\t\t\t\t\t\treturn 0;\n\t\t\t\t\t\t}\n }\n } \n }); \n }\n \n }\n \n \n public static long pow(long a, long b)\n {\n long result=1;\n while(b>0)\n {\n if (b % 2 != 0)\n {\n result=(result*a)%1000000007;\n b--;\n } \n a=(a*a)%1000000007;\n b /= 2;\n } \n return result;\n }\n public static long fact(long num)\n {\n long value=1;\n int i=0;\n for(i=2;i<num;i++)\n {\n value=((value%mod)*i%mod)%mod;\n }\n return value;\n }\n public static long gcd(long a, long b)\n {\n if (a == 0)\n return b;\n return gcd(b%a, a);\n }\n \n /* public static long lcm(long a,long b)\n {\n return a * (b / gcd(a, b));\n }\n */ public static long sum(int h)\n {\n return (h*(h+1)/2);\n }\n /* public static void dfs(int parent,boolean[] visited,int[] dp)\n {\n ArrayList<Integer> arr=new ArrayList<Integer>();\n arr=graph.get(parent);\n visited[parent]=true;\n for(int i=0;i<arr.size();i++)\n {\n int num=(int)arr.get(i);\n if(visited[num]==false)\n {\n dfs(num,visited,dp);\n }\n dp[parent]=Math.max(dp[num]+1,dp[parent]);\n }\n }\n // static int flag1=0;\n static int[] dis;*/\n static int mod=1000000007;\n static ArrayList<ArrayList<Integer>> graph;\n static ArrayList<ArrayList<Integer>> g;\n \n /* public static void bfs(int num,int size)\n {\n boolean[] visited=new boolean[size+1];\n Queue<Integer> q=new LinkedList<>();\n q.add(num);\n ans[num]=1;\n visited[num]=true;\n while(!q.isEmpty())\n {\n int x=q.poll();\n ArrayList<Integer> al=graph.get(x);\n for(int i=0;i<al.size();i++)\n {\n int y=al.get(i); \n if(visited[y]==false)\n {\n q.add(y);\n ans[y]=ans[x]+1;\n visited[y]=true;\n }\n }\n }\n }\n static int[] ans;*/\n \n \n \n \n \n \n \n \n \n // static int[] a; \n public static int[] sort(int[] a)\n {\n int n=a.length;\n ArrayList<Integer> ar=new ArrayList<>();\n for(int i=0;i<a.length;i++)\n {\n ar.add(a[i]);\n }\n Collections.sort(ar);\n for(int i=0;i<n;i++)\n {\n a[i]=ar.get(i);\n }\n return a;\n }\n\t\t\tstatic class pqcomparator implements Comparator<Pair>\n\t\t\t{\n\t\t\t\tpublic int compare(Pair p1 ,Pair p2)\n\t\t\t\t{\n\t\t\t\t\tif(p1.y>p2.y)\n\t\t\t\t\t{\n\t\t\t\t\t\treturn -1;\n\t\t\t\t\t}\n\t\t\t\t\telse\n\t\t\t\t\t\treturn 1;\n\t\t\t\t}\n\t\t\t}\n\t\t\tpublic static void dfs(int parent,boolean[] visited)\n {\n ArrayList<Integer> arr=new ArrayList<Integer>();\n arr=graph.get(parent);\n visited[parent]=true;\n\t\t\t\tar.add(parent);\n\t\t\t\tcount++;\n\t\t\t\tfor(int i=0;i<arr.size();i++)\n {\n\t\t\t\t\tint num=(int)arr.get(i);\n if(visited[num]==false)\n {\n\t\t\t\t\t\tdfs(num,visited);\n }\n \t }\n }\n\t\t\tstatic int count=0;\n\t\t\tstatic ArrayList<Integer> ar;\n\t\t\tstatic public void main(String args[])throws IOException\n {\n\t\t\t\tint t=i();\n\t\t\t\tStringBuilder sb=new StringBuilder();\n\t\t\t\tlong[] a=new long[21];\n\t\t\t\ta[0]=1;\n\t\t\t\tTreeSet<Long> ts=new TreeSet<>();\n\t\t\t\tts.add(1L);\n\t\t\t\tfor(int i=1;i<=20;i++)\n\t\t\t\t{\n\t\t\t\t\ta[i]=a[i-1]*3;\n\t\t\t\t\tts.add(a[i]);\n\t\t\t\t}\n\t\t\t\twhile(t-->0)\n\t\t\t\t{\n\t\t\t\t\tint n=i();\n\t\t\t\t\tint[] dp=new int[n];\n\t\t\t\t\tint ans=0;\n\t\t\t\t\tfor(int i=n;i<=n+10000;i++)\n\t\t\t\t\t{\n\t\t\t\t\t\tlong an=i;\n\t\t\t\t\t\tint flag=Integer.MAX_VALUE;\n\t\t\t\t\t\twhile(an>0)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tif(ts.contains(an)==true)\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tflag=i;\n\t\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\telse\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tLong num=ts.lower(an);\n\t\t\t\t\t\t\t\tif(num!=null)\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\tan-=num;\n\t\t\t\t\t\t\t\t\tif(an>=num)\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\tan=0;\n\t\t\t\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\telse\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\tan=0;\n\t\t\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif(flag!=Integer.MAX_VALUE)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tans=flag;\n\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tpln(ans+\"\");\n\t\t\t\t}\n\t\t\t\tSystem.out.print(sb.toString());\n\t\t\t}\n\t\t\tstatic boolean areParenthesisBalanced(char exp[]) \n\t\t\t{ \n\t\t\t Stack<Character> st=new Stack<>();\n\t\t\t for(int i=0;i<exp.length;i++) \n\t\t\t { \n\t\t\t\t\tif (exp[i] == '(') \n\t\t\t\t\t\tst.push(exp[i]); \n\t\t\t\t\tif (exp[i] == ')') \n\t\t\t\t\t{ \n\t\t\t\t\t\tif (st.isEmpty()) \n\t\t\t\t\t\t{ \n\t\t\t\t\t\t return false; \n\t\t\t\t\t\t} \n\t\t\t\t\t\telse if ( !isMatchingPair(st.pop(), exp[i]) ) \n\t\t\t\t\t\t{ \n\t\t\t\t\t\t return false; \n\t\t\t\t\t\t} \n\t\t\t\t\t} \n\t\t\t\t\t\n\t\t\t\t} \n\t\t\t\tif (st.isEmpty()) \n\t\t\t\t\treturn true; \n\t\t\t\telse\n\t\t\t\t { \n\t\t\t\t\t return false; \n\t\t\t\t } \n\t\t\t} \n\t\t\tstatic boolean isMatchingPair(char character1, char character2) \n\t\t\t{ \n\t\t\t if (character1 == '(' && character2 == ')') \n\t\t\t\t return true; \n\t\t\t else\n\t\t\t\t return false; \n\t\t\t} \n /**/\n static InputReader in=new InputReader(System.in);\n static OutputWriter out=new OutputWriter(System.out);\n public static long l()\n {\n String s=in.String();\n return Long.parseLong(s);\n }\n public static void pln(String value)\n {\n System.out.println(value);\n }\n public static int i()\n {\n return in.Int();\n }\n public static String s()\n {\n return in.String();\n }\n }\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n class InputReader {\n \n private InputStream stream;\n private byte[] buf = new byte[1024];\n private int curChar;\n private int numChars;\n private SpaceCharFilter filter;\n \n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n \n public int read() {\n if (numChars== -1)\n throw new InputMismatchException();\n if (curChar >= numChars) {\n curChar = 0;\n try {\n numChars = stream.read(buf);\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n if (numChars <= 0)\n return -1;\n }\n return buf[curChar++];\n }\n \n public int Int() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n int res = 0;\n do {\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n } while (!isSpaceChar(c));\n return res * sgn;\n }\n \n public String String() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n StringBuilder res = new StringBuilder();\n do {\n res.appendCodePoint(c);\n c = read();\n } while (!isSpaceChar(c));\n return res.toString();\n }\n \n public boolean isSpaceChar(int c) {\n if (filter != null)\n return filter.isSpaceChar(c);\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n \n public String next() {\n return String();\n }\n \n public interface SpaceCharFilter {\n public boolean isSpaceChar(int ch);\n }\n }\n \n class OutputWriter {\n private final PrintWriter writer;\n \n public OutputWriter(OutputStream outputStream) {\n writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));\n }\n \n public OutputWriter(Writer writer) {\n this.writer = new PrintWriter(writer);\n }\n \n public void print(Object...objects) {\n for (int i = 0; i < objects.length; i++) {\n if (i != 0)\n writer.print(' ');\n writer.print(objects[i]);\n }\n }\n \n public void printLine(Object...objects) {\n print(objects);\n writer.println();\n }\n \n public void close() {\n writer.close();\n }\n \n public void flush() {\n writer.flush();\n }\n \n }\n \n class IOUtils {\n \n public static int[] readIntArray(InputReader in, int size) {\n int[] array = new int[size];\n for (int i = 0; i < size; i++)\n array[i] = in.Int();\n return array;\n }\n \n } \n\n",
"python": "import math\nnumbers = []\ni = 0\nwhile 3**i < 10**18:\n numbers.append(3**i)\n i += 1\nnumbers.append(3**i)\n\ndef solve(n):\n if n in numbers:\n return n\n p = int(math.log(n, 3) // 1)\n if sum(numbers[:p+1]) < n:\n return numbers[p+1]\n elif sum(numbers[:p+1]) == n:\n return n\n else:\n return 3**p + solve(n - 3**p)\n\nfor _ in range(int(input())):\n n = int(input())\n print(solve(n))\n"
}
|
|
|
# Just Arrange the Icons
BerPhone X is almost ready for release with n applications being preinstalled on the phone. A category of an application characterizes a genre or a theme of this application (like "game", "business", or "education"). The categories are given as integers between 1 and n, inclusive; the i-th application has category c_i.
You can choose m — the number of screens and s — the size of each screen. You need to fit all n icons of the applications (one icon representing one application) meeting the following requirements:
* On each screen, all the icons must belong to applications of the same category (but different screens can contain icons of applications of the same category);
* Each screen must be either completely filled with icons (the number of icons on the screen is equal to s) or almost filled with icons (the number of icons is equal to s-1).
Your task is to find the minimal possible number of screens m.
Input
The first line contains an integer t (1 ≤ t ≤ 10 000) — the number of test cases in the input. Then t test cases follow.
The first line of each test case contains an integer n (1 ≤ n ≤ 2⋅10^6) — the number of the icons. The second line contains n integers c_1, c_2, ..., c_n (1 ≤ c_i ≤ n), where c_i is the category of the i-th application.
It is guaranteed that the sum of the values of n for all test cases in the input does not exceed 2⋅10^6.
Output
Print t integers — the answers to the given test cases in the order they follow in the input. The answer to a test case is an integer m — the minimum number of screens on which all n icons can be placed satisfying the given requirements.
Example
Input
3
11
1 5 1 5 1 5 1 1 1 1 5
6
1 2 2 2 2 1
5
4 3 3 1 2
Output
3
3
4
Note
In the first test case of the example, all the icons can be placed on three screens of size 4: a screen with 4 icons of the category 1, a screen with 3 icons of the category 1, and a screen with 4 icons of the category 5.
|
[
{
"input": {
"stdin": "3\n11\n1 5 1 5 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "3\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 5 1 2 1 1 5\n6\n2 2 2 2 2 1\n5\n4 2 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 2 1 1 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "6\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n4 5 1 10 1 5 1 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 2 1 5\n6\n1 2 2 3 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "6\n4\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 5 1 1 1 1 8\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 1 5 1 1 1 1 5\n6\n1 2 2 2 4 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 6 1 3 1 2 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "8\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 2 5\n6\n1 2 2 2 4 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "6\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 5 1 2 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 6 1 1 1 1 5\n6\n2 2 2 2 3 1\n5\n4 3 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 2 5 1 1 2 1 5\n6\n1 2 2 2 3 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 2 5\n6\n1 4 3 2 2 1\n5\n4 5 3 1 1\n"
},
"output": {
"stdout": "6\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 9 1 1 1 1 5\n6\n2 2 2 2 3 1\n5\n4 3 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 4 3 2 2 1\n5\n4 5 3 1 1\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n4 5 1 10 1 9 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n2 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 6 1 5 1 2 1 1 1 1 9\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "8\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 2 2 1 1 1 1 5\n6\n1 2 2 2 4 2\n5\n4 3 3 2 2\n"
},
"output": {
"stdout": "6\n4\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n4 5 1 10 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 2 2 2 4 2\n5\n4 3 4 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 1 1 8\n6\n1 2 2 3 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "8\n4\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 2 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 1 1 8\n6\n1 4 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "8\n4\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 2 1 1 1 5\n6\n1 2 2 2 2 1\n5\n1 3 1 1 2\n"
},
"output": {
"stdout": "6\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 1 3 1 1 1 1 5\n6\n1 2 2 2 4 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 2 5 1 1 2 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 5 1 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 5 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "6\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 2 3 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n4 5 1 10 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n2 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 5 1 5 1 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "6\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 4 3 2 2 1\n5\n4 5 3 1 2\n"
},
"output": {
"stdout": "7\n4\n5\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 5 1 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 5 1 5 2 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "5\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 10 1 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 1 1 8\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "8\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 2 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "6\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 1 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 7 1 3 1 1 1 1 5\n6\n1 2 2 2 4 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 2 3 1 2 2 1 1 1 5\n6\n1 4 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 4 3 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 7 2 5 1 1 1 1 5\n6\n1 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 5 1 3 1 2 1 1 1 1 5\n6\n1 2 2 2 4 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n1 1 2 3 1 2 2 1 2 1 5\n6\n1 2 2 2 2 1\n5\n1 3 3 1 2\n"
},
"output": {
"stdout": "7\n3\n3\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 4 1 6 1 1 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 3\n"
},
"output": {
"stdout": "7\n4\n4\n"
}
},
{
"input": {
"stdin": "3\n11\n2 5 1 5 1 5 2 2 1 1 5\n6\n2 2 2 2 2 1\n5\n4 3 3 1 2\n"
},
"output": {
"stdout": "3\n4\n4\n"
}
}
] |
{
"tags": [
"greedy",
"implementation",
"math"
],
"title": "Just Arrange the Icons"
}
|
{
"cpp": "#include <bits/stdc++.h>\n#pragma GCC optimize(\"O3\")\n#pragma GCC target(\"sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx\")\nusing namespace std;\nusing ll = int64_t;\nconstexpr int M = 2 * 1000000 + 10;\nvector<int> cs;\nint cnt[M];\nbool processed[M];\nint how_much[M];\nvector<int> candidates;\nvector<int> single_candidates;\nbool was[M];\nvoid process(int c) {\n single_candidates.push_back(c + 1);\n single_candidates.push_back(c);\n single_candidates.push_back(1);\n single_candidates.push_back(2);\n for (int s = 1; s <= c; s++) {\n int l = c / s;\n if (l * s == c) single_candidates.push_back(l);\n if ((l + 1) * s >= c) {\n single_candidates.push_back(l + 1);\n }\n }\n for (int candidate : single_candidates) {\n if (!was[candidate]) {\n was[candidate] = true;\n ++how_much[candidate];\n candidates.push_back(candidate);\n }\n }\n for (int candidate : single_candidates) {\n was[candidate] = false;\n }\n single_candidates.clear();\n}\nvoid solve() {\n int n;\n cin >> n;\n cs.resize(n);\n for (int i = 0; i < n; i++) {\n cin >> cs[i];\n --cs[i];\n ++cnt[cs[i]];\n }\n int target = 0;\n candidates.clear();\n for (int c : cs) {\n if (!processed[c]) {\n processed[c] = true;\n process(cnt[c]);\n ++target;\n }\n }\n for (int c : cs) {\n processed[c] = false;\n }\n int answer = 1;\n for (int c : candidates) {\n if (how_much[c] == target) {\n answer = max(answer, c);\n }\n }\n int result = 0;\n for (int c : cs) {\n if (!processed[c]) {\n processed[c] = true;\n result += (cnt[c] + answer - 1) / answer;\n }\n }\n cout << result << \"\\n\";\n for (int c : candidates) {\n how_much[c] = 0;\n }\n for (int c : cs) {\n cnt[c] = 0;\n processed[c] = false;\n }\n}\nint32_t main() {\n ios_base::sync_with_stdio(false);\n cin.tie(nullptr);\n int tests;\n cin >> tests;\n for (int test = 0; test < tests; ++test) solve();\n return 0;\n}\n",
"java": "import java.io.*;\nimport java.util.*;\n\npublic class ProblemJ {\n public static void main(String[] args) throws IOException {\n BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n //Scanner sc = new Scanner(System.in);\n Reader sc = new Reader();\n PrintWriter pw = new PrintWriter(System.out);\n\n int testCases = sc.nextInt();\n for (int test = 0; test < testCases; test++) {\n\n HashMap<Integer,Pair> cats = new HashMap<>();\n ArrayList<Pair> listCat = new ArrayList<>();\n int iconsNum = sc.nextInt();\n for (int i = 0; i < iconsNum; i++) {\n int cat = sc.nextInt();\n if (cats.containsKey(cat)){\n cats.compute(cat,(integer, pair) -> {\n pair.num++;\n return pair;\n });\n } else {\n cats.put(cat,new Pair(cat,1));\n listCat.add(cats.get(cat));\n }\n }\n Pair minP = Collections.min(listCat,(o1, o2) -> Integer.compare(o1.num,o2.num));\n int minSize = minP.num;\n int best = iconsNum;\n for (int screenSize = 2; screenSize <= minSize+1; screenSize++) {\n boolean can = true;\n int screenNum = 0;\n for (int j = 0; j < listCat.size(); j++) {\n int num = listCat.get(j).num;\n\n if (num%screenSize == 0){\n screenNum += num/screenSize;\n } else if (num%(screenSize) < (screenSize-1)-num/(screenSize-1)){\n can = false;\n break;\n } else {\n screenNum += num/screenSize;\n screenNum ++;\n }\n }\n if (can && screenNum< best){\n best = screenNum;\n }\n }\n pw.println(best);\n }\n pw.flush();\n }\n\n static class Pair {\n int cat,num;\n\n public Pair(int cat, int num) {\n this.cat = cat;\n this.num = num;\n }\n\n @Override\n public boolean equals(Object o) {\n if (this == o) return true;\n if (!(o instanceof Pair)) return false;\n\n Pair pair = (Pair) o;\n\n if (cat != pair.cat) return false;\n return num == pair.num;\n }\n\n @Override\n public int hashCode() {\n int result = cat;\n result = 31 * result + num;\n return result;\n }\n }\n static class Reader\n {\n final private int BUFFER_SIZE = 1 << 16;\n private DataInputStream din;\n private byte[] buffer;\n private int bufferPointer, bytesRead;\n\n public Reader()\n {\n din = new DataInputStream(System.in);\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public Reader(String file_name) throws IOException\n {\n din = new DataInputStream(new FileInputStream(file_name));\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public String readLine() throws IOException\n {\n byte[] buf = new byte[64]; // line length\n int cnt = 0, c;\n while ((c = read()) != -1)\n {\n if (c == '\\n')\n break;\n buf[cnt++] = (byte) c;\n }\n return new String(buf, 0, cnt);\n }\n\n public int nextInt() throws IOException\n {\n int ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do\n {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n\n if (neg)\n return -ret;\n return ret;\n }\n\n public long nextLong() throws IOException\n {\n long ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n if (neg)\n return -ret;\n return ret;\n }\n\n public double nextDouble() throws IOException\n {\n double ret = 0, div = 1;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n\n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n\n if (c == '.')\n {\n while ((c = read()) >= '0' && c <= '9')\n {\n ret += (c - '0') / (div *= 10);\n }\n }\n\n if (neg)\n return -ret;\n return ret;\n }\n\n private void fillBuffer() throws IOException\n {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1)\n buffer[0] = -1;\n }\n\n private byte read() throws IOException\n {\n if (bufferPointer == bytesRead)\n fillBuffer();\n return buffer[bufferPointer++];\n }\n\n public void close() throws IOException\n {\n if (din == null)\n return;\n din.close();\n }\n }\n}\n",
"python": "#!/usr/bin/env python\nimport os\nimport sys\nfrom io import BytesIO, IOBase\n#from bisect import bisect_left as bl #c++ lowerbound bl(array,element)\n#from bisect import bisect_right as br #c++ upperbound br(array,element)\nimport math \nfrom collections import defaultdict \ndef main():\n for _ in range(int(input())):\n n=int(input())\n a=list(map(int,input().split(\" \")))\n dic=defaultdict(lambda:0)\n ans=n\n for x in a:\n dic[x]+=1\n # print(*dic.items())\n # def pos(midd):\n # for x in dic.values():\n # #print(x,midd)\n # if scrsize>=x:\n # if scrsize-x<=1:\n # midd-=1\n # else:\n # return False\n # else:\n # if x%scrsize==0:\n # midd-=x//scrsize\n # else:\n # midd-=x//scrsize\n # if scrsize*(1+x//scrsize)-x<=1:\n # midd-=1\n # else:\n # return False\n # return midd>=0\n # scrsize=4\n # print(pos(3))\n for y in range(2,n+1):\n scrsize=y\n cnt=0\n chk=0\n pos=True\n for x in dic.values():\n if y-1>x:\n chk=1\n break\n if scrsize>=x:\n if scrsize-x<=1:\n cnt+=1\n else:\n pos=False\n break\n else:\n if x%scrsize==0:\n cnt+=x//scrsize\n else:\n cnt+=x//scrsize\n tota=x%scrsize\n need=y-tota-1\n if x//scrsize>=need:\n cnt+=1\n else:\n pos=False\n break\n if chk==1: break\n if pos: ans=min(ans,cnt)\n print(ans)\n\n\n\n\n\n\n\n#-----------------------------BOSS-------------------------------------!\n# region fastio\n\nBUFSIZE = 8192\n\n\nclass FastIO(IOBase):\n newlines = 0\n\n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n\n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n\n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n\n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\n\n\nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\n\n\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\n\n# endregion\n\nif __name__ == \"__main__\":\n main()"
}
|
|
|
# Numbers
One day Anna got the following task at school: to arrange several numbers in a circle so that any two neighboring numbers differs exactly by 1. Anna was given several numbers and arranged them in a circle to fulfill the task. Then she wanted to check if she had arranged the numbers correctly, but at this point her younger sister Maria came and shuffled all numbers. Anna got sick with anger but what's done is done and the results of her work had been destroyed. But please tell Anna: could she have hypothetically completed the task using all those given numbers?
Input
The first line contains an integer n — how many numbers Anna had (3 ≤ n ≤ 105). The next line contains those numbers, separated by a space. All numbers are integers and belong to the range from 1 to 109.
Output
Print the single line "YES" (without the quotes), if Anna could have completed the task correctly using all those numbers (using all of them is necessary). If Anna couldn't have fulfilled the task, no matter how hard she would try, print "NO" (without the quotes).
Examples
Input
4
1 2 3 2
Output
YES
Input
6
1 1 2 2 2 3
Output
YES
Input
6
2 4 1 1 2 2
Output
NO
|
[
{
"input": {
"stdin": "6\n1 1 2 2 2 3\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n1 2 3 2\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n2 4 1 1 2 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "10\n10 11 10 11 10 11 10 11 10 11\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "20\n2 3 4 5 6 7 8 9 8 7 6 5 4 3 2 1 5 6 5 6\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "8\n1 2 2 2 2 3 3 3\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n294368194 294368194 294368194 294368195\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "3\n1 2 1000000000\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n650111756 650111755 650111754 650111755 650111756\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n1 2 3 2 3 2 3 2\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n1 2 3 4 5 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n473416369 473416371 473416370 473416371 473416370\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "10\n913596052 913596055 913596054 913596053 913596055 913596054 913596053 913596054 913596052 913596053\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n6 7 6 7 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "50\n363510947 363510954 363510943 363510964 363510969 363510950 363510951 363510960 363510967 363510952 363510956 363510948 363510944 363510946 363510965 363510946 363510963 363510962 363510947 363510955 363510954 363510948 363510961 363510964 363510963 363510945 363510965 363510953 363510952 363510968 363510955 363510966 363510968 363510950 363510967 363510949 363510958 363510957 363510956 363510959 363510953 363510951 363510966 363510949 363510944 363510962 363510945 363510958 363510961 363510957\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n5 4 3 2 1 2 3 4\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "8\n1 2 2 2 3 3 3 4\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n999999998 1000000000 999999999 999999999\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "16\n1 2 2 2 3 3 3 4 4 5 5 5 6 6 6 7\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "16\n20101451 20101452 20101452 20101452 20101453 20101452 20101451 20101451 20101452 20101451 20101452 20101451 20101454 20101454 20101451 20101451\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n1 1 2 2 5 5 6 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n3 5 8 4 7 6 4 7\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "13\n981311157 104863150 76378528 37347249 494793049 33951775 3632297 791848390 926461729 94158141 54601123 332909757 722201692\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n637256245 637256246 637256248 637256247 637256247\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n473416369 907033324 473416370 473416371 473416370\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n1 1 3 2 2 3\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n1 2 2 3 2 3 6 3\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "50\n363510947 363510954 363510943 363510964 363510969 363510950 363510951 363510960 363510967 363510952 363510956 363510948 363510944 363510946 363510965 363510946 363510963 479113745 363510947 363510955 363510954 363510948 363510961 363510964 363510963 363510945 363510965 363510953 363510952 363510968 363510955 363510966 363510968 363510950 363510967 363510949 363510958 363510957 363510956 363510959 363510953 363510951 363510966 363510949 363510944 363510962 363510945 363510958 363510961 363510957\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 2 3 4 1 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n650111756 101598586 650111754 650111755 650111756\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "10\n913596052 913596055 1773388658 913596053 913596055 913596054 913596053 913596054 913596052 913596053\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "3\n1 1 1000000000\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n1045577431 637256246 188094898 637256247 637256247\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n473416369 950646540 152783635 473416371 473416370\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n6 11 6 7 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 2 3 2 5 0\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n5 4 3 2 1 2 3 1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "10\n10 8 10 10 7 11 10 11 10 11\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n9 4 1 2 1 2 3 1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n650111756 28480204 650111754 650111755 650111756\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "4\n2 2 4 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "13\n981311157 104863150 76378528 37347249 494793049 33951775 3632297 791848390 926461729 94158141 54601123 337622303 722201692\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n9 4 3 2 1 2 3 1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "4\n2 2 3 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "3\n2 1 1000000000\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n1045577431 637256246 637256248 637256247 637256247\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n6 11 6 6 6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "16\n20101451 20101452 20101452 20101452 20101453 20101452 20101451 20101451 20101452 20101451 20101452 20101451 10730496 20101454 35035099 20101451\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "16\n0 2 2 2 3 3 3 4 4 5 5 7 6 6 6 7\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n0 2 2 2 4 4 3 4\n"
},
"output": {
"stdout": "NO\n"
}
}
] |
{
"tags": [
"constructive algorithms",
"implementation"
],
"title": "Numbers"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int INF = 1e9 + 10;\nconst long long int INFLL = 1e18 + 10;\nconst long double EPS = 1e-8;\nconst long double EPSLD = 1e-14;\nconst long long int MOD = 1e9 + 7;\ntemplate <class T>\nT &chmin(T &a, const T &b) {\n return a = min(a, b);\n}\ntemplate <class T>\nT &chmax(T &a, const T &b) {\n return a = max(a, b);\n}\nconst int MAX_N = 100010;\nint n;\nint a[MAX_N];\nint cnt[MAX_N];\nint main() {\n scanf(\"%d\", &n);\n for (int i = (0); i < (int)(n); i++) scanf(\"%d\", &a[i]);\n sort(a, a + n);\n int minv = a[0];\n int maxv = a[n - 1];\n if (maxv - minv >= MAX_N) return puts(\"NO\");\n int m = maxv - minv;\n for (int i = (0); i < (int)(n); i++) cnt[a[i] - minv]++;\n cnt[0]--;\n cnt[m]--;\n for (int i = (1); i < (int)(m); i++) {\n if (cnt[i] < 2) return puts(\"NO\");\n cnt[i] -= 2;\n }\n for (int i = (0); i < (int)(m + 1); i++) {\n if (cnt[i + 1] < cnt[i]) return puts(\"NO\");\n cnt[i + 1] -= cnt[i];\n cnt[i] = 0;\n }\n puts(\"YES\");\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\npublic class Main\n{\n public static void main(String[]args)\n {\n Scanner in = new Scanner(System.in);\n int max = 0;\n int min = Integer.MAX_VALUE;\n int[] nums = new int[in.nextInt()];\n for(int i = 0; i < nums.length;i++)\n {\n nums[i] = in.nextInt();\n min = Math.min(min, nums[i]);\n max = Math.max(max,nums[i]);\n }\n max -= min;\n if( max > nums.length) System.out.println(\"NO\");\n else\n {\n int[] freq = new int[max+1];\n Arrays.fill(freq, -2);\n freq[0] = -1;\n freq[max] = -1;\n for(int i = 0; i < nums.length; i++)\n {\n freq[nums[i]-min]++;\n }\n int[] pairs = new int[max];\n //System.out.println(Arrays.toString(freq));\n for(int i = 0; i < max; i++)\n {\n pairs[i] = Math.max(0, Math.min(freq[i], freq[i+1]));\n freq[i] -= pairs[i];\n freq[i+1] -= pairs[i];\n //System.out.println(freq[i]);\n if(freq[i] != 0){\n System.out.println(\"NO\");\n return;\n }\n }\n //System.out.println(Arrays.toString(freq));\n if(freq[max] != 0) {\n System.out.println(\"NO\");\n return;\n }\n System.out.println(\"YES\");\n }\n \n }\n \n \n}\nclass Parser\n{\n final private int BUFFER_SIZE = 1 << 16;\n\n private DataInputStream din;\n private byte[] buffer;\n private int bufferPointer, bytesRead;\n\n public Parser(InputStream in)\n {\n din = new DataInputStream(in);\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public long nextLong() throws Exception\n {\n long ret = 0;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = c == '-';\n if (neg) c = read();\n do\n {\n ret = ret * 10 + c - '0';\n c = read();\n } while (c > ' ');\n if (neg) return -ret;\n return ret;\n }\n\n public int nextInt() throws Exception\n {\n int ret = 0;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = c == '-';\n if (neg) c = read();\n do\n {\n ret = ret * 10 + c - '0';\n c = read();\n } while (c > ' ');\n if (neg) return -ret;\n return ret;\n }\n public String next() throws Exception\n {\n StringBuilder ret = new StringBuilder();\n byte c = read();\n while (c <= ' ') c = read();\n do\n {\n ret = ret.append((char)c);\n c = read();\n } while (c > ' ');\n //System.out.println(ret + \"!!!!!!\");\n return ret.toString();\n }\n public char nextChar() throws Exception\n {\n byte c = read();\n while (c <= ' ') c = read();\n char ret = (char)c;\n return ret;\n }\n private void fillBuffer() throws Exception\n {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1) buffer[0] = -1;\n }\n\n private byte read() throws Exception\n {\n if (bufferPointer == bytesRead) fillBuffer();\n return buffer[bufferPointer++];\n }\n}",
"python": "def NO():\n print 'NO'\n exit()\nn=input()\nc={}\nfor x in map(int,raw_input().split()):c[x]=c.get(x,0)+1\na=sorted(c.keys())\nfor x in a:\n if x==a[-1]:\n if c[x]:NO()\n else:\n if c[x] and c.get(x+1,0)>=c[x]:c[x+1]-=c[x]\n else:NO()\nprint 'YES'"
}
|
|
|
# Date calculation
In Gregorian calendar a typical year consists of 365 days and 12 months. The numbers of days in the months are: 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31. If year index is divisible by 400, or divisible by 4 but not by 100, the year becomes leap year, with one extra day in the second month (the one which typically has 28 days).
You are given the index of the year and the index of the day in the year. Find out the date of this day (day and month it will fall upon).
Input
The first line of input contains the year index, between 1600 and 2400, inclusive. The second line contains the day index, between 1 and 366, inclusive. It is guaranteed that the day index will be valid for this year, i.e., day 366 will occur only in a leap year.
Output
Output the index of the day and the index of the month, separated with a space.
Examples
Input
2011
324
Output
20 11
Input
2012
274
Output
30 9
Note
All indexes are 1-based.
|
[
{
"input": {
"stdin": "2011\n324\n"
},
"output": {
"stdout": "20 11\n"
}
},
{
"input": {
"stdin": "2012\n274\n"
},
"output": {
"stdout": "30 9\n"
}
}
] |
{
"tags": [
"*special"
],
"title": "Date calculation"
}
|
{
"cpp": null,
"java": null,
"python": null
}
|
|
|
# Height All the Same
Alice has got addicted to a game called Sirtet recently.
In Sirtet, player is given an n × m grid. Initially a_{i,j} cubes are stacked up in the cell (i,j). Two cells are called adjacent if they share a side. Player can perform the following operations:
* stack up one cube in two adjacent cells;
* stack up two cubes in one cell.
Cubes mentioned above are identical in height.
Here is an illustration of the game. States on the right are obtained by performing one of the above operations on the state on the left, and grey cubes are added due to the operation.
<image>
Player's goal is to make the height of all cells the same (i.e. so that each cell has the same number of cubes in it) using above operations.
Alice, however, has found out that on some starting grids she may never reach the goal no matter what strategy she uses. Thus, she is wondering the number of initial grids such that
* L ≤ a_{i,j} ≤ R for all 1 ≤ i ≤ n, 1 ≤ j ≤ m;
* player can reach the goal using above operations.
Please help Alice with it. Notice that the answer might be large, please output the desired value modulo 998,244,353.
Input
The only line contains four integers n, m, L and R (1≤ n,m,L,R ≤ 10^9, L ≤ R, n ⋅ m ≥ 2).
Output
Output one integer, representing the desired answer modulo 998,244,353.
Examples
Input
2 2 1 1
Output
1
Input
1 2 1 2
Output
2
Note
In the first sample, the only initial grid that satisfies the requirements is a_{1,1}=a_{2,1}=a_{1,2}=a_{2,2}=1. Thus the answer should be 1.
In the second sample, initial grids that satisfy the requirements are a_{1,1}=a_{1,2}=1 and a_{1,1}=a_{1,2}=2. Thus the answer should be 2.
|
[
{
"input": {
"stdin": "2 2 1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 2 1 2\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "2 2 3 4\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "290186487 840456810 858082702 987072033\n"
},
"output": {
"stdout": "366829057\n"
}
},
{
"input": {
"stdin": "646353335 282521795 600933409 772270276\n"
},
"output": {
"stdout": "13680108\n"
}
},
{
"input": {
"stdin": "763237207 414005655 302120151 421405724\n"
},
"output": {
"stdout": "193545831\n"
}
},
{
"input": {
"stdin": "692 210 44175861 843331069\n"
},
"output": {
"stdout": "714028205\n"
}
},
{
"input": {
"stdin": "3 2 2 4\n"
},
"output": {
"stdout": "365\n"
}
},
{
"input": {
"stdin": "2 2 1 998244353\n"
},
"output": {
"stdout": "499122177\n"
}
},
{
"input": {
"stdin": "1 2 1 86583718\n"
},
"output": {
"stdout": "499122176\n"
}
},
{
"input": {
"stdin": "707552887 989427996 933718708 955125306\n"
},
"output": {
"stdout": "355610620\n"
}
},
{
"input": {
"stdin": "999999999 999999999 1 998244353\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "268120620 443100795 102749301 604856694\n"
},
"output": {
"stdout": "834319192\n"
}
},
{
"input": {
"stdin": "3 3 3 4\n"
},
"output": {
"stdout": "512\n"
}
},
{
"input": {
"stdin": "3 2 2 5\n"
},
"output": {
"stdout": "2048\n"
}
},
{
"input": {
"stdin": "1 2 1 911660635\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 3 1 998244353\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "998244352 2 1 998244353\n"
},
"output": {
"stdout": "499122177\n"
}
},
{
"input": {
"stdin": "13 635 761278633 941090619\n"
},
"output": {
"stdout": "893955177\n"
}
},
{
"input": {
"stdin": "1 1000000000 1 1000000000\n"
},
"output": {
"stdout": "285141888\n"
}
},
{
"input": {
"stdin": "3 2 3 5\n"
},
"output": {
"stdout": "365\n"
}
},
{
"input": {
"stdin": "28837644 722454262 471150744 905552093\n"
},
"output": {
"stdout": "740846915\n"
}
},
{
"input": {
"stdin": "2 2 2 5\n"
},
"output": {
"stdout": "128\n"
}
},
{
"input": {
"stdin": "2 3 2 4\n"
},
"output": {
"stdout": "365\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 1 998244353\n"
},
"output": {
"stdout": "499122177\n"
}
},
{
"input": {
"stdin": "2 3 2 5\n"
},
"output": {
"stdout": "2048\n"
}
},
{
"input": {
"stdin": "850754220 853938121 172337487 490664825\n"
},
"output": {
"stdout": "237240423\n"
}
},
{
"input": {
"stdin": "3 3 2 5\n"
},
"output": {
"stdout": "262144\n"
}
},
{
"input": {
"stdin": "672670796 425613469 728300037 940234946\n"
},
"output": {
"stdout": "779704132\n"
}
},
{
"input": {
"stdin": "3 2 3 4\n"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "124919287 578590669 9354715 32571540\n"
},
"output": {
"stdout": "263200129\n"
}
},
{
"input": {
"stdin": "2 3 3 5\n"
},
"output": {
"stdout": "365\n"
}
},
{
"input": {
"stdin": "3 3 1 1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "151236748 16649639 841754047 855153000\n"
},
"output": {
"stdout": "108988868\n"
}
},
{
"input": {
"stdin": "885636311 857944136 232531966 493119835\n"
},
"output": {
"stdout": "779245677\n"
}
},
{
"input": {
"stdin": "202669473 255300152 987865366 994537507\n"
},
"output": {
"stdout": "926661352\n"
}
},
{
"input": {
"stdin": "140 713 711390561 727285861\n"
},
"output": {
"stdout": "641355762\n"
}
},
{
"input": {
"stdin": "485 117 386829368 748204956\n"
},
"output": {
"stdout": "735420370\n"
}
},
{
"input": {
"stdin": "2 2 2 4\n"
},
"output": {
"stdout": "41\n"
}
},
{
"input": {
"stdin": "407070359 971940670 264302148 270591105\n"
},
"output": {
"stdout": "992759231\n"
}
},
{
"input": {
"stdin": "461 650 18427925 104278996\n"
},
"output": {
"stdout": "936348652\n"
}
},
{
"input": {
"stdin": "2 2 3 5\n"
},
"output": {
"stdout": "41\n"
}
},
{
"input": {
"stdin": "999999999 1000000000 1755648 1000000000\n"
},
"output": {
"stdout": "499122177\n"
}
},
{
"input": {
"stdin": "2 3 1 998244353\n"
},
"output": {
"stdout": "499122177\n"
}
},
{
"input": {
"stdin": "2 3 3 4\n"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "946835863 300009121 565317265 947272048\n"
},
"output": {
"stdout": "337235143\n"
}
},
{
"input": {
"stdin": "1000000000 1 1000000000 1000000000\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "564 558 305171115 960941497\n"
},
"output": {
"stdout": "880111542\n"
}
},
{
"input": {
"stdin": "911953772 296003106 210155490 889555498\n"
},
"output": {
"stdout": "225799480\n"
}
},
{
"input": {
"stdin": "795069900 869551950 803936044 964554424\n"
},
"output": {
"stdout": "884379548\n"
}
},
{
"input": {
"stdin": "63719735 431492981 971536712 994663491\n"
},
"output": {
"stdout": "97582142\n"
}
},
{
"input": {
"stdin": "589 790 462465375 766499149\n"
},
"output": {
"stdout": "374887989\n"
}
},
{
"input": {
"stdin": "494587372 852064625 134519483 167992226\n"
},
"output": {
"stdout": "552905694\n"
}
},
{
"input": {
"stdin": "329320172 739941588 435534601 986184053\n"
},
"output": {
"stdout": "425887732\n"
}
},
{
"input": {
"stdin": "3 3 2 4\n"
},
"output": {
"stdout": "19683\n"
}
},
{
"input": {
"stdin": "741 806 424647372 965259389\n"
},
"output": {
"stdout": "861647194\n"
}
},
{
"input": {
"stdin": "824436759 415879151 194713963 293553316\n"
},
"output": {
"stdout": "453443939\n"
}
},
{
"input": {
"stdin": "3 3 3 5\n"
},
"output": {
"stdout": "19683\n"
}
}
] |
{
"tags": [
"combinatorics",
"constructive algorithms",
"math",
"matrices"
],
"title": "Height All the Same"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long M = 998244353;\nlong long power(long long x, long long y) {\n long long res = 1;\n while (y) {\n if (y & 1) res = (res * x) % M;\n y = y >> 1;\n x = (x * x) % M;\n }\n return res;\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n long long n, m, L, R;\n cin >> n >> m >> L >> R;\n long long t = n * m;\n long long k = R - L + 1;\n long long even, odd;\n even = k / 2, odd = k / 2;\n if (L & 1 && k & 1)\n odd++;\n else if (k & 1 && !(L & 1))\n even++;\n if (t & 1) {\n long long ans = power(k, t);\n cout << ans << '\\n';\n return 0;\n }\n long long j = abs(even - odd);\n long long ans = power(k, t) + power(j, t);\n ans *= power(2, M - 2);\n ans += M;\n ans %= M;\n cout << ans << '\\n';\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\n \npublic class tr0 {\n\tstatic PrintWriter out;\n\tstatic StringBuilder sb;\n\tstatic long mod = 998244353;\n\tstatic int inf = (int) 1e15;\n\tstatic ArrayList<Integer>[] ad;\n\tstatic int n, r, m;\n\tstatic int[][] memo, grid;\n\tstatic char[][] g;\n\tstatic boolean[] vis;\n\tstatic long ans, tem;\n \n\tpublic static void main(String[] args) throws Exception {\n\t\tScanner sc = new Scanner(System.in);\n\t\tout = new PrintWriter(System.out);\n\t\tlong n = sc.nextInt();\n\t\tlong m = sc.nextInt();\n\t\tlong l = sc.nextInt();\n\t\tlong r = sc.nextInt();\n\t\tlong all = modPow(r - l + 1, n * m);\n\t\tif(n*m%2==1) {\n\t\t\tSystem.out.println(all);\n\t\t\treturn;\n\t\t}\n\t\tlong od = ((r + 1) / 2) - (l / 2);\n\t\tlong ev = (r / 2) - ((l - 1) / 2);\n\t\tlong d2 = (modPow((od + ev), n * m) +modPow((od - ev), n * m))%mod ;\n\t\tSystem.out.println((d2 * modPow(2, mod-2)) % mod);\n\t\tout.close();\n\t}\n \n\tstatic long modPow(long a, long e)\n \n\t{\n\t\tlong res = 1;\n\t\twhile (e > 0) {\n\t\t\tif ((e & 1) == 1)\n\t\t\t\tres = (res * a) % mod;\n\t\t\ta = (a * a) % mod;\n\t\t\te >>= 1;\n\t\t}\n\t\treturn res;\n\t}\n \n\tstatic class Scanner {\n\t\tStringTokenizer st;\n\t\tBufferedReader br;\n \n\t\tpublic Scanner(InputStream system) {\n\t\t\tbr = new BufferedReader(new InputStreamReader(system));\n\t\t}\n \n\t\tpublic Scanner(String file) throws Exception {\n\t\t\tbr = new BufferedReader(new FileReader(file));\n\t\t}\n \n\t\tpublic String next() throws IOException {\n\t\t\twhile (st == null || !st.hasMoreTokens())\n\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\treturn st.nextToken();\n\t\t}\n \n\t\tpublic String nextLine() throws IOException {\n\t\t\treturn br.readLine();\n\t\t}\n \n\t\tpublic int nextInt() throws IOException {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n \n\t\tpublic double nextDouble() throws IOException {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n \n\t\tpublic char nextChar() throws IOException {\n\t\t\treturn next().charAt(0);\n\t\t}\n \n\t\tpublic Long nextLong() throws IOException {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n \n\t\tpublic int[] nextArrInt(int n) throws IOException {\n\t\t\tint[] a = new int[n];\n\t\t\tfor (int i = 0; i < n; i++)\n\t\t\t\ta[i] = nextInt();\n\t\t\treturn a;\n\t\t}\n \n\t\tpublic long[] nextArrLong(int n) throws IOException {\n\t\t\tlong[] a = new long[n];\n\t\t\tfor (int i = 0; i < n; i++)\n\t\t\t\ta[i] = nextInt();\n\t\t\treturn a;\n\t\t}\n \n\t\tpublic boolean ready() throws IOException {\n\t\t\treturn br.ready();\n\t\t}\n \n\t\tpublic void waitForInput() throws InterruptedException {\n\t\t\tThread.sleep(3000);\n\t\t}\n\t}\n}",
"python": "import sys\ninput = sys.stdin.readline\ninputi = lambda: map(int, input().split())\n#from math import *\nfrom bisect import *\nfrom functools import reduce, lru_cache\nfrom collections import Counter, defaultdict\nfrom builtins import *\n\nMOD = 998_244_353\n\ndef MMul(M1, M2):\n L11 = (M1[0][0] * M2[0][0] + M1[0][1] * M2[1][0]) % MOD\n L12 = (M1[0][0] * M2[0][1] + M1[0][1] * M2[1][1]) % MOD\n L21 = (M1[1][0] * M2[0][0] + M1[1][1] * M2[1][0]) % MOD\n L22 = (M1[1][0] * M2[0][1] + M1[1][1] * M2[1][1]) % MOD\n return ((L11, L12), (L21, L22))\n\ndef Pow(M, n):\n if n == 0:\n return ((1, 0), (0, 1))\n elif n % 2:\n return MMul(M, Pow(M, n - 1))\n nM = Pow(M, n // 2)\n return MMul(nM, nM)\n\nn, m, L, R = inputi()\nC = n * m\nT = R - L + 1\nodd = (T + 1) // 2 if L % 2 else T // 2\neven = T - odd\n#print(L, R, odd, even, C)\nif C % 2:\n print(pow(T, C, MOD))\nelse:\n print(Pow(((even, odd), (odd, even)), C)[1][1])\n#print(Pow(((even, odd), (odd, even)), C))\n\n\n"
}
|
|
|
# Most Unstable Array
You are given two integers n and m. You have to construct the array a of length n consisting of non-negative integers (i.e. integers greater than or equal to zero) such that the sum of elements of this array is exactly m and the value ∑_{i=1}^{n-1} |a_i - a_{i+1}| is the maximum possible. Recall that |x| is the absolute value of x.
In other words, you have to maximize the sum of absolute differences between adjacent (consecutive) elements. For example, if the array a=[1, 3, 2, 5, 5, 0] then the value above for this array is |1-3| + |3-2| + |2-5| + |5-5| + |5-0| = 2 + 1 + 3 + 0 + 5 = 11. Note that this example doesn't show the optimal answer but it shows how the required value for some array is calculated.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.
The only line of the test case contains two integers n and m (1 ≤ n, m ≤ 10^9) — the length of the array and its sum correspondingly.
Output
For each test case, print the answer — the maximum possible value of ∑_{i=1}^{n-1} |a_i - a_{i+1}| for the array a consisting of n non-negative integers with the sum m.
Example
Input
5
1 100
2 2
5 5
2 1000000000
1000000000 1000000000
Output
0
2
10
1000000000
2000000000
Note
In the first test case of the example, the only possible array is [100] and the answer is obviously 0.
In the second test case of the example, one of the possible arrays is [2, 0] and the answer is |2-0| = 2.
In the third test case of the example, one of the possible arrays is [0, 2, 0, 3, 0] and the answer is |0-2| + |2-0| + |0-3| + |3-0| = 10.
|
[
{
"input": {
"stdin": "5\n1 100\n2 2\n5 5\n2 1000000000\n1000000000 1000000000\n"
},
"output": {
"stdout": "0\n2\n10\n1000000000\n2000000000\n"
}
},
{
"input": {
"stdin": "1\n9041 222\n"
},
"output": {
"stdout": "444\n"
}
},
{
"input": {
"stdin": "1\n343800 343800\n"
},
"output": {
"stdout": "687600\n"
}
},
{
"input": {
"stdin": "1\n9021 100\n"
},
"output": {
"stdout": "200\n"
}
},
{
"input": {
"stdin": "1\n9210 10000\n"
},
"output": {
"stdout": "20000\n"
}
},
{
"input": {
"stdin": "1\n103 1\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n9021 10000\n"
},
"output": {
"stdout": "20000\n"
}
},
{
"input": {
"stdin": "1\n60 2\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "2\n12345 12345\n1 1\n"
},
"output": {
"stdout": "24690\n0\n"
}
},
{
"input": {
"stdin": "1\n9021 5\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "1\n153 153\n"
},
"output": {
"stdout": "306\n"
}
},
{
"input": {
"stdin": "1\n153 6\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "1\n54 33\n"
},
"output": {
"stdout": "66\n"
}
},
{
"input": {
"stdin": "1\n153 10\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "1\n153 16\n"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "1\n1001 1\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n53 100\n"
},
"output": {
"stdout": "200\n"
}
},
{
"input": {
"stdin": "1\n9022 222\n"
},
"output": {
"stdout": "444\n"
}
},
{
"input": {
"stdin": "1\n153 2\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "1\n103 5\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "1\n165 165\n"
},
"output": {
"stdout": "330\n"
}
},
{
"input": {
"stdin": "1\n154 1002\n"
},
"output": {
"stdout": "2004\n"
}
},
{
"input": {
"stdin": "1\n70 70\n"
},
"output": {
"stdout": "140\n"
}
},
{
"input": {
"stdin": "2\n12345 12345\n12345 12345\n"
},
"output": {
"stdout": "24690\n24690\n"
}
},
{
"input": {
"stdin": "1\n165 1000\n"
},
"output": {
"stdout": "2000\n"
}
},
{
"input": {
"stdin": "1\n9021 222\n"
},
"output": {
"stdout": "444\n"
}
},
{
"input": {
"stdin": "1\n53 5\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "2\n3751 2376\n1 1\n"
},
"output": {
"stdout": "4752\n0\n"
}
},
{
"input": {
"stdin": "1\n256 23\n"
},
"output": {
"stdout": "46\n"
}
},
{
"input": {
"stdin": "1\n9021 00010\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "1\n9021 10010\n"
},
"output": {
"stdout": "20020\n"
}
},
{
"input": {
"stdin": "1\n719 12\n"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "1\n4621 00010\n"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "1\n106 101\n"
},
"output": {
"stdout": "202\n"
}
},
{
"input": {
"stdin": "1\n201 12\n"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "5\n1 100\n2 -1\n5 5\n2 1000000000\n1000100000 1000000000\n"
},
"output": {
"stdout": "0\n-1\n10\n1000000000\n2000000000\n"
}
},
{
"input": {
"stdin": "1\n214 153\n"
},
"output": {
"stdout": "306\n"
}
},
{
"input": {
"stdin": "1\n418 6\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "1\n1 33\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1\n272 6\n"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "2\n12345 12345\n12345 16965\n"
},
"output": {
"stdout": "24690\n33930\n"
}
},
{
"input": {
"stdin": "5\n1 100\n2 0\n5 5\n2 1000000000\n1000000000 1000000000\n"
},
"output": {
"stdout": "0\n0\n10\n1000000000\n2000000000\n"
}
},
{
"input": {
"stdin": "1\n101 3\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "1\n2453 11000\n"
},
"output": {
"stdout": "22000\n"
}
},
{
"input": {
"stdin": "1\n0001 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1\n9021 00000\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1\n19657 11\n"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "1\n95 1\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n70 86\n"
},
"output": {
"stdout": "172\n"
}
},
{
"input": {
"stdin": "1\n2340 6\n"
},
"output": {
"stdout": "12\n"
}
}
] |
{
"tags": [
"constructive algorithms",
"greedy",
"math"
],
"title": "Most Unstable Array"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int t;\n cin >> t;\n while (t--) {\n long long int m, n;\n cin >> n >> m;\n if (n == 1) {\n cout << \"0\" << endl;\n } else if (n == 2) {\n cout << m << endl;\n } else {\n cout << 2 * m << endl;\n }\n }\n}\n",
"java": "import java.util.Scanner;\n\npublic class MostUnstableArray {\n\n\tpublic static void main(String[] args) {\n\n\t\tScanner scanner = new Scanner(System.in);\n\n\t\tint testcases = Integer.parseInt(scanner.nextLine());\n\n\t\twhile (testcases != 0) {\n\n\t\t\tint n = Integer.parseInt(scanner.next());\n\t\t\tint m = Integer.parseInt(scanner.next());\n\t\t\t\n\t\t\tif(n==1)System.out.println(\"0\");\n\t\t\tif(n == 2)System.out.println(m);\n\t\t\tif(n>2)System.out.println(2*m);\t\t\n\t\t\n\t\t\t\ttestcases--;\n\t\t}\n\n\t\tscanner.close();\n\t}\n\n}\n",
"python": "for t in range(int(input())):\n n,m=map(int,input().split())\n if n==1:\n print(0)\n elif n==2:\n print(m)\n else:\n print(m*2)"
}
|
|
|
# Omkar and Modes
Ray lost his array and needs to find it by asking Omkar. Omkar is willing to disclose that the array has the following qualities:
1. The array has n (1 ≤ n ≤ 2 ⋅ 10^5) elements.
2. Every element in the array a_i is an integer in the range 1 ≤ a_i ≤ 10^9.
3. The array is sorted in nondecreasing order.
Ray is allowed to send Omkar a series of queries. A query consists of two integers, l and r such that 1 ≤ l ≤ r ≤ n. Omkar will respond with two integers, x and f. x is the mode of the subarray from index l to index r inclusive. The mode of an array is defined by the number that appears the most frequently. If there are multiple numbers that appear the most number of times, the smallest such number is considered to be the mode. f is the amount of times that x appears in the queried subarray.
The array has k (1 ≤ k ≤ min(25000,n)) distinct elements. However, due to Ray's sins, Omkar will not tell Ray what k is. Ray is allowed to send at most 4k queries.
Help Ray find his lost array.
Input
The only line of the input contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^5), which equals to the length of the array that you are trying to find.
Interaction
The interaction starts with reading n.
Then you can make one type of query:
* "? \enspace l \enspace r" (1 ≤ l ≤ r ≤ n) where l and r are the bounds of the subarray that you wish to query.
The answer to each query will be in the form "x \enspace f" where x is the mode of the subarray and f is the number of times x appears in the subarray.
* x satisfies (1 ≤ x ≤ 10^9).
* f satisfies (1 ≤ f ≤ r-l+1).
* If you make more than 4k queries or violate the number range in the query, you will get an output "-1."
* If you terminate after receiving the response "-1", you will get the "Wrong answer" verdict. Otherwise you can get an arbitrary verdict because your solution will continue to read from a closed stream.
To output your answer, print:
* "! \enspace a_1 \enspace a_2 \enspace … \enspace a_{n-1} \enspace a_n" which is an exclamation point followed by the array with a space between every element.
And quit after that. This query is not counted towards the 4k queries limit.
After printing a query do not forget to output end of line and flush the output. Otherwise, you will get Idleness limit exceeded. To do this, use:
* fflush(stdout) or cout.flush() in C++;
* System.out.flush() in Java;
* flush(output) in Pascal;
* stdout.flush() in Python;
* see documentation for other languages.
Hack Format
To hack, output 1 integer on the first line, n (1 ≤ n ≤ 2 ⋅ 10^5). On the second line output n integers a_1, a_2, …, a_{n-1}, a_n separated by a space such that there are at most 25000 distinct numbers and a_j ≤ a_{j+1} for all j from 1 to n-1.
Example
Input
6
2 2
2 2
3 2
2 1
Output
? 1 6
? 1 3
? 4 6
? 3 4
! 1 2 2 3 3 4
Note
The first query is l=1 and r=6. The mode is 2, and 2 appears 2 times, so x=2 and f=2. Note that 3 also appears two times, but 2 is outputted because 2 is smaller.
The second query is l=1 and r=3. The mode is 2 and 2 appears twice in the subarray with indices [1,3].
The third query is l=4 and r=6. The mode is 3 and 3 appears twice in the subarray with indices [4,6].
The fourth query is l=3 and r=4. The mode is 2, which appears once in the subarray with indices [3,4]. Note that 3 also appears once in that range, but 2 is smaller than 3.
|
[
{
"input": {
"stdin": "6\n\n2 2\n\n2 2\n\n3 2\n\n2 1\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n! 2 2 2 2 2 2\n"
}
},
{
"input": {
"stdin": "8\n1 1 1 2 3 3 3 3\n"
},
"output": {
"stdout": "? 1 1\n? 8 8\n! 1 1 1 1 1 1 1 1\n"
}
},
{
"input": {
"stdin": "15\n23600550 23600550 23600550 23600550 486693464 486693464 491237991 491237991 491237991 491237991 491237991 688437245 949742598 949742598 949742598\n"
},
"output": {
"stdout": "? 1 1\n? 15 15\n! 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550\n"
}
},
{
"input": {
"stdin": "4\n3 3 3 3\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n! 3 3 3 3\n"
}
},
{
"input": {
"stdin": "10\n9 9 9 9 9 9 9 9 9 9\n"
},
"output": {
"stdout": "? 1 10\n? 1 1\n? 10 10\n! 9 9 9 9 9 9 9 9 9 9 \n"
}
},
{
"input": {
"stdin": "13\n1 1 1 2 2 2 3 3 3 4 4 4 4\n"
},
"output": {
"stdout": "? 1 1\n? 13 13\n! 1 1 1 1 1 1 1 1 1 1 1 1 1\n"
}
},
{
"input": {
"stdin": "6\n1 2 2 3 4 4\n"
},
"output": {
"stdout": "? 1 6\n? 1 3\n? 4 6\n! 2 2 4 4 4 4 \n"
}
},
{
"input": {
"stdin": "7\n1 2 3 4 5 7 8\n"
},
"output": {
"stdout": "? 1 7\n? 1 4\n? 5 7\n! 5 5 5 5 5 5 5 \n"
}
},
{
"input": {
"stdin": "20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 16 16 16 16\n"
},
"output": {
"stdout": "? 1 20\n? 1 10\n? 1 5\n? 6 10\n? 11 20\n! 5 5 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 \n"
}
},
{
"input": {
"stdin": "6\n1 2 2 3 3 4\n"
},
"output": {
"stdout": "? 1 6\n? 1 3\n? 4 6\n! 2 2 3 3 3 3 \n"
}
},
{
"input": {
"stdin": "1\n1000000000\n"
},
"output": {
"stdout": "? 1 1\n! 1000000000\n"
}
},
{
"input": {
"stdin": "1\n1000000010\n"
},
"output": {
"stdout": "? 1 1\n! 1000000010 \n"
}
},
{
"input": {
"stdin": "8\n0 0 2 0 0 0 0 1\n"
},
"output": {
"stdout": "? 1 1\n? 8 8\n? 1 8\n? 1 8\n? 2 2\n? 2 8\n? 2 2\n? 5 5\n? 5 5\n? 5 8\n? 5 5\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n! 0 -1 -1 -1 -1 -1 -1 2 \n"
}
},
{
"input": {
"stdin": "8\n-1 0 4 0 0 0 1 1\n"
},
"output": {
"stdout": "? 1 1\n? 8 8\n? 1 8\n? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 4 4\n? 4 4\n? 4 8\n? 4 4\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n! 1 -1 -1 -1 -1 -1 -1 4 \n"
}
},
{
"input": {
"stdin": "7\n0 -1 2 0 -2 12 3\n"
},
"output": {
"stdout": "? 1 1\n? 7 7\n? 1 7\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n? 4 7\n? 5 5\n? 5 5\n? 5 7\n? 5 5\n? 6 6\n? 6 6\n! 0 -1 -1 3 -1 -1 2 \n"
}
},
{
"input": {
"stdin": "15\n717289 1758651 1563777 23600550 486693464 486693464 491237991 845890839 1450947294 491237991 231594679 688437245 12498263 55088177 949742598\n"
},
"output": {
"stdout": "? 1 1\n? 15 15\n? 1 15\n? 8 8\n? 1 8\n? 4 4\n? 1 4\n? 2 2\n? 2 4\n? 3 3\n? 3 3\n? 4 8\n? 6 6\n? 4 6\n? 5 5\n? 5 5\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n? 8 15\n? 11 11\n? 8 11\n? 9 9\n? 9 9\n? 11 11\n? 11 11\n? 11 15\n? 11 11\n? 13 13\n? 13 13\n? 13 15\n? 13 13\n? 14 14\n? 14 14\n! 717289 949742598 -1 231594679 -1 -1 -1 491237991 -1 -1 -1 -1 -1 -1 1563777 \n"
}
},
{
"input": {
"stdin": "4\n16 1 0 14\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n! 16 -1 -1 0 \n"
}
},
{
"input": {
"stdin": "4\n16 1 -1 14\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 4 4\n! 16 -1 -1 -1 \n"
}
},
{
"input": {
"stdin": "6\n\n2 3\n\n2 2\n\n3 2\n\n2 1\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n! 2 2 2 2 2 2 \n"
}
},
{
"input": {
"stdin": "7\n1 2 1 2 0 12 17\n"
},
"output": {
"stdout": "? 1 1\n? 7 7\n! 1 1 1 1 1 1 1 \n"
}
},
{
"input": {
"stdin": "1\n0101000011\n"
},
"output": {
"stdout": "? 1 1\n! 101000011 \n"
}
},
{
"input": {
"stdin": "7\n0 0 1 0 -1 12 11\n"
},
"output": {
"stdout": "? 1 1\n? 7 7\n? 1 7\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n? 4 7\n? 5 5\n? 5 5\n? 5 7\n? 5 5\n? 6 6\n? 6 6\n! 0 -1 -1 11 -1 -1 1 \n"
}
},
{
"input": {
"stdin": "20\n1 2 3 2 5 6 7 8 9 13 11 12 11 14 15 5 16 9 17 15\n"
},
"output": {
"stdout": "? 1 1\n? 20 20\n? 1 20\n? 10 10\n? 1 10\n? 5 5\n? 1 5\n? 5 10\n? 7 7\n? 5 7\n? 6 6\n? 6 6\n? 7 10\n? 8 8\n? 8 8\n? 8 10\n? 8 8\n? 9 9\n? 9 9\n? 10 20\n? 15 15\n? 10 15\n? 12 12\n? 10 12\n? 11 11\n? 11 11\n? 12 12\n? 12 12\n? 15 15\n? 15 15\n? 15 20\n? 15 15\n? 17 17\n? 17 17\n? 17 20\n? 17 17\n? 18 18\n? 18 18\n? 18 20\n? 18 18\n? 19 19\n? 19 19\n! 11 11 11 11 11 -1 16 -1 -1 7 -1 \n"
}
},
{
"input": {
"stdin": "6\n0 1 -2 3 4 14\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n? 1 6\n? 3 3\n? 1 3\n? 2 2\n? 2 2\n? 3 3\n? 3 3\n? 3 6\n? 3 3\n? 4 4\n? 4 4\n? 4 6\n? 4 4\n? 5 5\n? 5 5\n! 0 -1 -1 -1 -1 -2 \n"
}
},
{
"input": {
"stdin": "10\n42 0 9 2 1 3 1 9 4 11\n"
},
"output": {
"stdout": "? 1 1\n? 10 10\n? 1 10\n? 5 5\n? 1 5\n? 3 3\n? 1 3\n? 2 2\n? 2 2\n? 3 3\n? 3 3\n? 3 5\n? 3 3\n? 4 4\n? 4 4\n? 5 10\n? 7 7\n? 5 7\n? 6 6\n? 6 6\n? 7 7\n? 7 7\n? 7 10\n? 7 7\n? 8 8\n? 8 8\n? 8 10\n? 8 8\n? 9 9\n? 9 9\n! 42 -1 -1 -1 1 -1 -1 -1 -1 9 \n"
}
},
{
"input": {
"stdin": "6\n1 4 -3 2 3 11\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n? 1 6\n? 3 3\n? 1 3\n? 2 2\n? 2 2\n? 3 3\n? 3 3\n? 3 6\n? 3 3\n? 4 4\n? 4 4\n? 4 6\n? 4 4\n? 5 5\n? 5 5\n! 1 -1 -1 -1 -1 -3 \n"
}
},
{
"input": {
"stdin": "4\n6 1 0 14\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n! 6 -1 -1 0 \n"
}
},
{
"input": {
"stdin": "1\n0010010011\n"
},
"output": {
"stdout": "? 1 1\n! 10010011 \n"
}
},
{
"input": {
"stdin": "1\n1100011010\n"
},
"output": {
"stdout": "? 1 1\n! 1100011010 \n"
}
},
{
"input": {
"stdin": "1\n0010110001\n"
},
"output": {
"stdout": "? 1 1\n! 10110001 \n"
}
},
{
"input": {
"stdin": "6\n\n2 4\n\n4 1\n\n0 4\n\n0 2\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n? 1 6\n? 3 3\n? 1 3\n? 2 2\n? 2 2\n? 3 6\n? 4 4\n? 4 4\n? 4 6\n? 4 4\n? 5 5\n? 5 5\n! 2 -1 0 -1 -1 4 \n"
}
},
{
"input": {
"stdin": "1\n1000101010\n"
},
"output": {
"stdout": "? 1 1\n! 1000101010 \n"
}
},
{
"input": {
"stdin": "4\n-1 1 -3 31\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 1 1\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n! -1 -1 -1 -3 \n"
}
},
{
"input": {
"stdin": "4\n0 1 -2 24\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n! 0 -1 -1 -2 \n"
}
},
{
"input": {
"stdin": "4\n10 1 0 14\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n! 10 -1 -1 0 \n"
}
},
{
"input": {
"stdin": "20\n1 2 3 2 7 6 4 8 9 13 12 0 4 19 3 5 16 11 7 15\n"
},
"output": {
"stdout": "? 1 1\n? 20 20\n? 1 20\n? 10 10\n? 1 10\n? 5 5\n? 1 5\n? 3 3\n? 1 3\n? 2 2\n? 3 5\n? 4 4\n? 4 4\n? 5 10\n? 7 7\n? 5 7\n? 6 6\n? 6 6\n? 7 7\n? 7 7\n? 7 10\n? 7 7\n? 8 8\n? 8 8\n? 8 10\n? 8 8\n? 9 9\n? 9 9\n? 10 20\n? 15 15\n? 10 15\n? 12 12\n? 10 12\n? 11 11\n? 11 11\n? 12 12\n? 12 12\n? 15 15\n? 15 15\n? 15 20\n? 15 15\n? 17 17\n? 17 17\n? 17 20\n? 17 17\n? 18 18\n? 18 18\n? 18 20\n? 18 18\n? 19 19\n? 19 19\n! 1 7 3 -1 12 -1 -1 -1 -1 4 -1 -1 -1 -1 -1 -1 -1 -1 -1 3 \n"
}
},
{
"input": {
"stdin": "1\n0111000010\n"
},
"output": {
"stdout": "? 1 1\n! 111000010 \n"
}
},
{
"input": {
"stdin": "4\n6 0 -1 14\n"
},
"output": {
"stdout": "? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 4 4\n! 6 -1 -1 -1 \n"
}
},
{
"input": {
"stdin": "1\n0010010001\n"
},
"output": {
"stdout": "? 1 1\n! 10010001 \n"
}
},
{
"input": {
"stdin": "15\n13369551 23600550 23600550 23600550 486693464 486693464 491237991 491237991 1450947294 491237991 231594679 688437245 510804297 975775890 949742598\n"
},
"output": {
"stdout": "? 1 1\n? 15 15\n? 1 15\n? 8 8\n? 1 8\n? 4 4\n? 1 4\n? 2 2\n? 2 4\n? 3 3\n? 3 3\n? 4 8\n? 6 6\n? 4 6\n? 5 5\n? 5 5\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n? 8 15\n? 11 11\n? 8 11\n? 9 9\n? 9 9\n? 11 11\n? 11 11\n? 11 15\n? 11 11\n? 13 13\n? 13 13\n? 13 15\n? 13 13\n? 14 14\n? 14 14\n! 13369551 949742598 -1 231594679 -1 -1 -1 491237991 -1 -1 -1 -1 -1 -1 23600550 \n"
}
},
{
"input": {
"stdin": "15\n1997604 1758651 1563777 9761747 486693464 486693464 491237991 845890839 1765219320 491237991 375410575 688437245 5278910 109152498 949742598\n"
},
"output": {
"stdout": "? 1 1\n? 15 15\n? 1 15\n? 8 8\n? 1 8\n? 4 4\n? 1 4\n? 2 2\n? 2 4\n? 3 3\n? 3 3\n? 4 8\n? 6 6\n? 4 6\n? 5 5\n? 5 5\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n? 8 15\n? 11 11\n? 8 11\n? 9 9\n? 9 9\n? 11 11\n? 11 11\n? 11 15\n? 11 11\n? 13 13\n? 13 13\n? 13 15\n? 13 13\n? 14 14\n? 14 14\n! 1997604 949742598 -1 375410575 -1 -1 -1 491237991 -1 -1 -1 -1 -1 -1 1563777 \n"
}
},
{
"input": {
"stdin": "15\n23600550 23600550 23600550 23600550 486693464 486693464 491237991 491237991 491237991 491237991 491237991 688437245 949742598 975775890 949742598\n"
},
"output": {
"stdout": "? 1 1\n? 15 15\n! 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 23600550 \n"
}
},
{
"input": {
"stdin": "1\n0001000011\n"
},
"output": {
"stdout": "? 1 1\n! 1000011 \n"
}
},
{
"input": {
"stdin": "8\n-1 0 4 0 0 0 0 0\n"
},
"output": {
"stdout": "? 1 1\n? 8 8\n? 1 8\n? 1 1\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 4 4\n? 4 4\n? 4 8\n? 4 4\n? 6 6\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n! 0 -1 -1 -1 -1 -1 -1 4 \n"
}
},
{
"input": {
"stdin": "7\n1 2 3 4 0 12 17\n"
},
"output": {
"stdout": "? 1 1\n? 7 7\n? 1 7\n? 4 4\n? 1 4\n? 2 2\n? 2 2\n? 2 4\n? 2 2\n? 3 3\n? 3 3\n? 4 7\n? 5 5\n? 5 5\n? 5 7\n? 5 5\n? 6 6\n? 6 6\n! 1 -1 -1 17 -1 -1 3 \n"
}
},
{
"input": {
"stdin": "6\n\n2 0\n\n5 1\n\n0 4\n\n0 2\n"
},
"output": {
"stdout": "? 1 1\n? 6 6\n? 1 6\n? 3 3\n? 1 3\n? 2 2\n? 2 2\n? 3 6\n? 4 4\n? 4 4\n? 4 6\n? 4 4\n? 5 5\n? 5 5\n! 2 -1 0 -1 -1 5 \n"
}
},
{
"input": {
"stdin": "1\n0001001011\n"
},
"output": {
"stdout": "? 1 1\n! 1001011 \n"
}
},
{
"input": {
"stdin": "8\n0 0 2 0 0 0 0 5\n"
},
"output": {
"stdout": "? 1 1\n? 8 8\n? 1 8\n? 1 8\n? 6 6\n? 6 8\n? 6 6\n? 7 7\n? 7 7\n! 0 0 0 0 0 -1 -1 2 \n"
}
},
{
"input": {
"stdin": "1\n1000100010\n"
},
"output": {
"stdout": "? 1 1\n! 1000100010 \n"
}
},
{
"input": {
"stdin": "1\n0101001000\n"
},
"output": {
"stdout": "? 1 1\n! 101001000 \n"
}
}
] |
{
"tags": [
"binary search",
"divide and conquer",
"interactive"
],
"title": "Omkar and Modes"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint a[200005];\nmap<int, int> mp;\nint xx = 0, ff = 0;\npair<int, int> chk(int l, int r, int prex, int pref) {\n if (r < l) return {-1, -1};\n if (!ff) printf(\"? %d %d\\n\", l, r);\n fflush(stdout);\n int x = xx, f = ff;\n if (!ff) {\n scanf(\"%d\", &x);\n assert(x != -1);\n scanf(\"%d\", &f);\n }\n xx = 0;\n ff = 0;\n if (f >= r - l + 1) {\n for (int i = l; i <= r; ++i) {\n a[i] = x;\n }\n if (!mp.count(x)) mp[x] = 0;\n mp[x] += r - l + 1;\n } else if (x == prex) {\n for (int i = 0; i < f; ++i) {\n a[r] = x;\n r--;\n mp[x]++;\n }\n chk(l, r, 0, 0);\n } else {\n int oldx = mp.count(x) ? mp[x] : 0;\n chk(l, l + f - 1, x, f);\n int j = mp[x] - oldx;\n int i = l + f;\n if (!j) {\n xx = x;\n ff = f;\n chk(i, r, prex, pref);\n } else {\n int cnt = f - j;\n if (cnt < f) {\n if (!mp.count(x)) mp[x] = 0;\n while (cnt-- > 0 && i <= r) {\n a[i] = x;\n mp[x]++;\n i++;\n }\n }\n chk(i, r, prex, pref);\n return {x, f};\n }\n }\n return {x, f};\n}\nint main() {\n int n;\n cin >> n;\n chk(1, n, 0, 0);\n printf(\"! \");\n for (int i = 1; i <= n; ++i) {\n printf(\"%d \", a[i]);\n }\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.io.IOException;\nimport java.util.HashMap;\nimport java.io.InputStreamReader;\nimport java.util.Objects;\nimport java.util.StringTokenizer;\nimport java.io.BufferedReader;\nimport java.util.Queue;\nimport java.util.ArrayDeque;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author AnandOza\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n FOmkarAndModes solver = new FOmkarAndModes();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class FOmkarAndModes {\n private InputReader in;\n private PrintWriter out;\n private int n;\n private int[] answer;\n HashMap<Pii, Pii> cache = new HashMap<>();\n\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n this.in = in;\n this.out = out;\n n = in.nextInt();\n\n answer = new int[n];\n\n solve(0, n);\n\n out.println(\"! \" + Util.join(answer));\n out.flush();\n }\n\n private void solve(int left, int right) {\n if (right - left <= 0)\n return;\n\n Pii value = query(left, right);\n solve(left, right, value);\n }\n\n private void solve(int left, int right, Pii mode) {\n if (right - left <= 0)\n return;\n\n int x = mode.first, f = mode.second;\n\n if (f == 1) {\n answer[left] = x;\n for (int i = left + 1; i < right; i++) {\n answer[i] = query(i);\n }\n return;\n }\n\n if (f == right - left) {\n for (int i = left; i < right; i++) {\n answer[i] = x;\n }\n return;\n }\n\n Queue<Pair<Pii, Pii>> q = new ArrayDeque<>();\n int start = -1, end = -1;\n for (int i = left; i < right; i += f) {\n int boxStart = i;\n int boxEnd = Math.min(right, i + f);\n if (end != -1)\n boxStart = Math.max(boxStart, end);\n if (boxEnd <= boxStart)\n continue;\n\n Pii interval = query(boxStart, boxEnd);\n\n if (interval.first == x) {\n int count = interval.second;\n\n if (count == f) {\n start = boxStart;\n end = boxEnd;\n } else if (query(boxStart - 1) == x) {\n end = boxStart + count;\n start = end - f;\n } else if (query(boxEnd) == x) {\n start = boxEnd - count;\n end = start + f;\n }\n\n for (int j = start; j < end; j++) {\n answer[j] = x;\n }\n\n solve(boxStart, start);\n solve(end, boxEnd);\n } else {\n q.add(Pair.of(Pii.of(boxStart, boxEnd), interval));\n }\n }\n for (Pair<Pii, Pii> item : q) {\n int l = item.first.first, r = item.first.second;\n Pii interval = item.second;\n\n if (l <= start && start < r) {\n r = start;\n }\n if (l <= end && end < r) {\n l = end;\n }\n solve(l, r, interval);\n }\n }\n\n private int query(int i) {\n if (i < 0 || i >= n)\n return -1;\n\n return query(i, i + 1).first;\n }\n\n private Pii query(int l, int r) {\n Pii key = Pii.of(l, r);\n if (cache.containsKey(key))\n return cache.get(key);\n\n out.println(\"? \" + (l + 1) + \" \" + r);\n out.flush();\n int x = in.nextInt(), f = in.nextInt();\n Pii value = Pii.of(x, f);\n cache.put(key, value);\n return value;\n }\n\n }\n\n static class Pair<F, S> {\n public final F first;\n public final S second;\n\n public Pair(F first, S second) {\n this.first = first;\n this.second = second;\n }\n\n public static <F, S> Pair<F, S> of(F first, S second) {\n return new Pair<>(first, second);\n }\n\n public boolean equals(Object o) {\n if (this == o)\n return true;\n if (o == null || getClass() != o.getClass())\n return false;\n Pair<?, ?> pair = (Pair<?, ?>) o;\n return Objects.equals(first, pair.first) && Objects.equals(second, pair.second);\n }\n\n public int hashCode() {\n return Objects.hash(first, second);\n }\n\n public String toString() {\n return \"(\" + first + \", \" + second + ')';\n }\n\n }\n\n static class Util {\n public static String join(int... i) {\n StringBuilder sb = new StringBuilder();\n for (int o : i) {\n sb.append(o);\n sb.append(\" \");\n }\n if (sb.length() > 0) {\n sb.deleteCharAt(sb.length() - 1);\n }\n return sb.toString();\n }\n\n private Util() {\n }\n\n }\n\n static class InputReader {\n public final BufferedReader reader;\n public StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream), 32768);\n tokenizer = null;\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n\n static class Pii implements Comparable<Pii> {\n public final int first;\n public final int second;\n\n public Pii(int first, int second) {\n this.first = first;\n this.second = second;\n }\n\n public static Pii of(int first, int second) {\n return new Pii(first, second);\n }\n\n public boolean equals(Object o) {\n if (this == o)\n return true;\n if (o == null || getClass() != o.getClass())\n return false;\n Pii pair = (Pii) o;\n return first == pair.first && second == pair.second;\n }\n\n public int hashCode() {\n return Arrays.hashCode(new int[]{first, second});\n }\n\n public String toString() {\n return \"(\" + first + \", \" + second + ')';\n }\n\n public int compareTo(Pii o) {\n if (first != o.first)\n return Integer.compare(first, o.first);\n return Integer.compare(second, o.second);\n }\n\n }\n}\n\n",
"python": null
}
|
|
|
# Boboniu Walks on Graph
Boboniu has a directed graph with n vertices and m edges.
The out-degree of each vertex is at most k.
Each edge has an integer weight between 1 and m. No two edges have equal weights.
Boboniu likes to walk on the graph with some specific rules, which is represented by a tuple (c_1,c_2,…,c_k). If he now stands on a vertex u with out-degree i, then he will go to the next vertex by the edge with the c_i-th (1≤ c_i≤ i) smallest weight among all edges outgoing from u.
Now Boboniu asks you to calculate the number of tuples (c_1,c_2,…,c_k) such that
* 1≤ c_i≤ i for all i (1≤ i≤ k).
* Starting from any vertex u, it is possible to go back to u in finite time by walking on the graph under the described rules.
Input
The first line contains three integers n, m and k (2≤ n≤ 2⋅ 10^5, 2≤ m≤ min(2⋅ 10^5,n(n-1) ), 1≤ k≤ 9).
Each of the next m lines contains three integers u, v and w (1≤ u,v≤ n,u≠ v,1≤ w≤ m), denoting an edge from u to v with weight w. It is guaranteed that there are no self-loops or multiple edges and each vertex has at least one edge starting from itself.
It is guaranteed that the out-degree of each vertex is at most k and no two edges have equal weight.
Output
Print one integer: the number of tuples.
Examples
Input
4 6 3
4 2 1
1 2 2
2 4 3
4 1 4
4 3 5
3 1 6
Output
2
Input
5 5 1
1 4 1
5 1 2
2 5 3
4 3 4
3 2 5
Output
1
Input
6 13 4
3 5 1
2 5 2
6 3 3
1 4 4
2 6 5
5 3 6
4 1 7
4 3 8
5 2 9
4 2 10
2 1 11
6 1 12
4 6 13
Output
1
Note
For the first example, there are two tuples: (1,1,3) and (1,2,3). The blue edges in the picture denote the c_i-th smallest edges for each vertex, which Boboniu chooses to go through.
<image>
For the third example, there's only one tuple: (1,2,2,2).
<image>
The out-degree of vertex u means the number of edges outgoing from u.
|
[
{
"input": {
"stdin": "4 6 3\n4 2 1\n1 2 2\n2 4 3\n4 1 4\n4 3 5\n3 1 6\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "5 5 1\n1 4 1\n5 1 2\n2 5 3\n4 3 4\n3 2 5\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "6 13 4\n3 5 1\n2 5 2\n6 3 3\n1 4 4\n2 6 5\n5 3 6\n4 1 7\n4 3 8\n5 2 9\n4 2 10\n2 1 11\n6 1 12\n4 6 13\n"
},
"output": {
"stdout": "1\n"
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"stdin": "7 41 7\n7 1 1\n7 3 2\n3 1 3\n6 4 4\n2 3 5\n2 7 6\n3 6 7\n7 4 8\n1 5 9\n7 6 10\n5 1 11\n6 5 12\n2 6 13\n5 7 14\n4 1 15\n4 5 16\n4 3 17\n1 4 18\n1 6 19\n6 3 20\n4 7 21\n1 3 22\n7 2 23\n2 5 24\n1 7 25\n5 2 26\n3 5 27\n6 7 28\n3 2 29\n3 4 30\n3 7 31\n2 4 32\n6 1 33\n5 4 34\n6 2 35\n7 5 36\n5 6 37\n2 1 38\n5 2 39\n4 6 40\n1 2 41\n"
},
"output": {
"stdout": "168"
}
},
{
"input": {
"stdin": "7 14 3\n3 2 1\n2 5 2\n6 7 3\n3 7 4\n5 4 5\n2 7 6\n5 7 7\n1 3 8\n7 6 9\n7 2 10\n2 6 11\n4 1 12\n3 4 13\n1 5 14\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "10 45 7\n7 3 1\n7 5 2\n4 8 3\n8 2 4\n4 9 5\n9 1 6\n5 10 7\n8 7 8\n2 8 9\n1 7 10\n6 3 11\n10 6 12\n3 8 13\n7 2 14\n6 2 15\n1 8 16\n2 3 17\n8 1 18\n4 10 19\n1 6 20\n3 1 21\n10 4 22\n10 3 23\n9 3 24\n2 9 25\n4 6 26\n8 5 27\n6 9 28\n7 9 29\n10 5 30\n10 2 31\n5 7 32\n8 6 33\n2 5 34\n5 1 35\n2 6 36\n5 8 37\n1 4 38\n8 4 39\n5 9 40\n8 2 41\n5 6 42\n5 2 43\n4 3 44\n7 8 45\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "10 43 6\n4 5 1\n8 6 2\n1 4 3\n1 7 4\n3 2 5\n3 9 9\n6 10 7\n2 5 8\n7 3 9\n8 9 10\n10 4 11\n9 4 12\n7 10 13\n2 4 14\n6 7 15\n2 6 16\n4 8 17\n9 1 18\n10 7 19\n7 2 20\n9 2 21\n10 3 22\n8 4 23\n9 6 24\n10 6 25\n5 2 26\n8 5 27\n8 5 28\n9 3 29\n5 1 30\n5 8 31\n6 1 32\n3 4 33\n9 8 34\n4 1 35\n4 7 36\n5 4 37\n4 6 38\n1 9 39\n7 4 71\n2 3 41\n8 1 42\n4 10 43\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "7 13 2\n6 5 1\n3 6 2\n2 3 3\n4 1 6\n4 6 5\n5 3 6\n7 3 7\n1 2 2\n2 4 9\n7 4 10\n3 2 11\n6 1 12\n5 7 13\n"
},
"output": {
"stdout": "0"
}
}
] |
{
"tags": [
"brute force",
"dfs and similar",
"graphs",
"hashing"
],
"title": "Boboniu Walks on Graph"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n, m, k;\nvector<int> q(9);\nset<pair<int, int>> bad;\nbool check[9];\nint ans = 0;\nvoid go(int p) {\n if (p == k) {\n ++ans;\n return;\n }\n if (check[p]) {\n for (int j = 0; j <= p; ++j) {\n if (bad.count(make_pair(q[j] + 9 * j, q[p] + 9 * p))) {\n return;\n }\n }\n go(p + 1);\n return;\n }\n for (int i = 0; i <= p; ++i) {\n q[p] = i;\n bool ok = 1;\n for (int j = 0; j <= p; ++j) {\n if (bad.count(make_pair(q[j] + 9 * j, q[p] + 9 * p))) {\n ok = 0;\n break;\n }\n }\n if (!ok) continue;\n go(p + 1);\n }\n}\nint main() {\n ios::sync_with_stdio(0);\n cin.tie(0);\n cin >> n >> m >> k;\n vector<int> out[n];\n vector<pair<int, int>> in[n];\n for (int i = 0; i < m; ++i) {\n int u, v, w;\n cin >> u >> v >> w;\n out[--u].emplace_back(w);\n in[--v].emplace_back(u, w);\n }\n for (int i = 0; i < n; ++i) sort(out[i].begin(), out[i].end());\n int sh[n];\n iota(sh, sh + n, 0);\n random_shuffle(sh, sh + n);\n if (sh[0] == 0) swap(sh[n / 2], sh[0]);\n for (int i : sh) {\n vector<int> t;\n for (auto &x : in[i]) {\n int u = x.first, w = x.second;\n t.push_back(\n (out[u].size() - 1) * 9 +\n (int)(lower_bound(out[u].begin(), out[u].end(), w) - out[u].begin()));\n }\n sort(t.begin(), t.end());\n if (t.size() == 0) {\n cout << 0;\n return 0;\n }\n if (t.size() == 1) {\n check[t[0] / 9] = 1;\n q[t[0] / 9] = (t[0] % 9);\n }\n for (int i = 1; i < t.size(); ++i) {\n if (t[i] == t[i - 1]) {\n bad.emplace(t[i], t[i]);\n }\n }\n auto it = unique(t.begin(), t.end());\n t.resize(distance(t.begin(), it));\n for (int i = 0; i < t.size(); ++i) {\n for (int j = i + 1; j < t.size(); ++j) {\n bad.emplace(t[i], t[j]);\n }\n }\n }\n go(0);\n cout << ans;\n}\n",
"java": "\nimport java.io.*;\nimport java.util.*;\n\npublic class Main {\n private static final boolean N_CASE = false;\n private static final int BASE = 100000003;\n private static final int MOD = 1000000009;\n\n private int[] val;\n private long total;\n private long[][] c;\n private int n;\n private int k;\n private int m;\n private int ans;\n private List<List<Node>> g;\n private List<List<Integer>> bucket;\n\n private static class Node {\n int v, w;\n\n public Node(int v, int w) {\n this.v = v;\n this.w = w;\n }\n }\n\n private void dfs(int i, long hash) {\n if (i > k) {\n if (hash == total) {\n ++ans;\n }\n return;\n }\n\n for (int t = 1; t <= i; ++t) {\n dfs(i + 1, (hash + c[i][t]) % MOD);\n }\n }\n\n private void swap(int[] a, int x, int y) {\n int tmp = a[x]; a[x] = a[y]; a[y] = tmp;\n }\n\n\n private void solve() {\n n = sc.nextInt();\n\n val = new int[n + 1];\n Random random = new Random(System.nanoTime());\n for (int i = 1; i <= n; ++i) {\n val[i] = val[i - 1] + random.nextInt(1003);\n }\n\n m = sc.nextInt();\n k = sc.nextInt();\n\n g = createGraph(n + 1);\n for (int i = 0; i < m; i++) {\n int u = sc.nextInt();\n int v = sc.nextInt();\n int w = sc.nextInt();\n\n g.get(u).add(new Node(v, w));\n }\n\n bucket = createGraph(k + 1);\n c = new long[k + 1][k + 1];\n for (int i = 1; i <= n; ++i) {\n List<Node> e = g.get(i);\n bucket.get(e.size()).add(i);\n e.sort(Comparator.comparingInt(v -> v.w));\n for (int j = 0; j < e.size(); ++j) {\n c[e.size()][j + 1] += val[e.get(j).v];\n c[e.size()][j + 1] %= MOD;\n }\n }\n\n total = 0;\n for (int i = 1; i <= n; i++) {\n total += val[i];\n total %= MOD;\n }\n\n ans = 0;\n\n dfs(1, 0);\n\n out.println(ans);\n }\n\n private void run() {\n int T = N_CASE ? sc.nextInt() : 1;\n for (int t = 0; t < T; ++t) {\n solve();\n }\n }\n\n private static MyWriter out;\n private static MyScanner sc;\n\n private static class MyScanner {\n BufferedReader br;\n StringTokenizer st;\n\n private MyScanner() {\n br = new BufferedReader(new InputStreamReader(System.in));\n }\n\n String next() {\n while (st == null || !st.hasMoreElements()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n\n int nextInt() {\n return Integer.parseInt(next());\n }\n\n long nextLong() {\n return Long.parseLong(next());\n }\n\n double nextDouble() {\n return Double.parseDouble(next());\n }\n\n int[] nextIntArray(int n) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = nextInt();\n }\n return a;\n }\n\n int[][] nextIntArray(int n, int m) {\n int[][] a = new int[n][m];\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n a[i][j] = sc.nextInt();\n }\n }\n return a;\n }\n\n long[][] nextLongArray(int n, int m) {\n long[][] a = new long[n][m];\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n a[i][j] = nextLong();\n }\n }\n return a;\n }\n\n List<Integer> nextList(int n) {\n List<Integer> list = new ArrayList<>();\n for (int i = 0; i < n; i++) {\n list.add(nextInt());\n }\n return list;\n }\n\n List<Long> nextLongList(int n) {\n List<Long> list = new ArrayList<>();\n for (int i = 0; i < n; i++) {\n list.add(nextLong());\n }\n return list;\n }\n\n char[] nextCharArray(int n) {\n return sc.next().toCharArray();\n }\n\n char[][] nextCharArray(int n, int m) {\n char[][] c = new char[n][m];\n for (int i = 0; i < n; i++) {\n String s = sc.next();\n for (int j = 0; j < m; j++) {\n c[i][j] = s.charAt(j);\n }\n }\n return c;\n }\n }\n\n private static class MyWriter extends PrintWriter {\n private MyWriter(OutputStream outputStream) {\n super(outputStream);\n }\n\n void printArray(int[] a) {\n for (int i = 0; i < a.length; ++i) {\n print(a[i]);\n print(i == a.length - 1 ? '\\n' : ' ');\n }\n }\n\n void printlnArray(int[] a) {\n for (int v : a) {\n println(v);\n }\n }\n\n void printList(List<Integer> list) {\n for (int i = 0; i < list.size(); ++i) {\n print(list.get(i));\n print(i == list.size() - 1 ? '\\n' : ' ');\n }\n }\n\n void printlnList(List<Integer> list) {\n list.forEach(this::println);\n }\n }\n\n private <T> List<List<T>> createGraph(int n) {\n List<List<T>> g = new ArrayList<>();\n for (int i = 0; i < n; ++i) {\n g.add(new ArrayList<>());\n }\n return g;\n }\n\n public static void main(String[] args) {\n out = new MyWriter(new BufferedOutputStream(System.out));\n sc = new MyScanner();\n new Main().run();\n out.close();\n }\n}",
"python": null
}
|
|
|
# Amusing Joke
So, the New Year holidays are over. Santa Claus and his colleagues can take a rest and have guests at last. When two "New Year and Christmas Men" meet, thear assistants cut out of cardboard the letters from the guest's name and the host's name in honor of this event. Then the hung the letters above the main entrance. One night, when everyone went to bed, someone took all the letters of our characters' names. Then he may have shuffled the letters and put them in one pile in front of the door.
The next morning it was impossible to find the culprit who had made the disorder. But everybody wondered whether it is possible to restore the names of the host and his guests from the letters lying at the door? That is, we need to verify that there are no extra letters, and that nobody will need to cut more letters.
Help the "New Year and Christmas Men" and their friends to cope with this problem. You are given both inscriptions that hung over the front door the previous night, and a pile of letters that were found at the front door next morning.
Input
The input file consists of three lines: the first line contains the guest's name, the second line contains the name of the residence host and the third line contains letters in a pile that were found at the door in the morning. All lines are not empty and contain only uppercase Latin letters. The length of each line does not exceed 100.
Output
Print "YES" without the quotes, if the letters in the pile could be permuted to make the names of the "New Year and Christmas Men". Otherwise, print "NO" without the quotes.
Examples
Input
SANTACLAUS
DEDMOROZ
SANTAMOROZDEDCLAUS
Output
YES
Input
PAPAINOEL
JOULUPUKKI
JOULNAPAOILELUPUKKI
Output
NO
Input
BABBONATALE
FATHERCHRISTMAS
BABCHRISTMASBONATALLEFATHER
Output
NO
Note
In the first sample the letters written in the last line can be used to write the names and there won't be any extra letters left.
In the second sample letter "P" is missing from the pile and there's an extra letter "L".
In the third sample there's an extra letter "L".
|
[
{
"input": {
"stdin": "BABBONATALE\nFATHERCHRISTMAS\nBABCHRISTMASBONATALLEFATHER\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "SANTACLAUS\nDEDMOROZ\nSANTAMOROZDEDCLAUS\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "PAPAINOEL\nJOULUPUKKI\nJOULNAPAOILELUPUKKI\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "IDQRX\nWETHO\nODPDGBHVUVSSISROHQJTUKPUCLXABIZQQPPBPKOSEWGEHRSRRNBAVLYEMZISMWWGKHVTXKUGUXEFBSWOIWUHRJGMWBMHQLDZHBWA\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "PMUKBTRKFIAYVGBKHZHUSJYSSEPEOEWPOSPJLWLOCTUYZODLTUAFCMVKGQKRRUSOMPAYOTBTFPXYAZXLOADDEJBDLYOTXJCJYTHA\nTWRRAJLCQJTKOKWCGUH\nEWDPNXVCXWCDQCOYKKSOYTFSZTOOPKPRDKFJDETKSRAJRVCPDOBWUGPYRJPUWJYWCBLKOOTUPBESTOFXZHTYLLMCAXDYAEBUTAHM\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "EUHTSCENIPXLTSBMLFHD\nIZAVSZPDLXOAGESUSE\nLXAELAZ\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "KKK\nKKK\nZZZZZ\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "B\nA\nAB\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "UIKWWKXLSHTOOZOVGXKYSOJEHAUEEG\nKZXQDWJJWRXFHKJDQHJK\nXMZHTFOGEXAUJXXJUYVJIFOTKLZHDKELJWERHMGAWGKWAQKEKHIDWGGZVYOHKXRPWSJDPESFJUMKQYWBYUTHQYEFZUGKQOBHYDWB\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "VYXYVVACMLPDHONBUTQFZTRREERBLKUJYKAHZRCTRLRCLOZYWVPBRGDQPFPQIF\nFE\nRNRPEVDRLYUQFYRZBCQLCYZEABKLRXCJLKVZBVFUEYRATOMDRTHFPGOWQVTIFPPH\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "AHOKHEKKPJLJIIWJRCGY\nORELJCSIX\nZVWPXVFWFSWOXXLIHJKPXIOKRELYE\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "DSWNZRFVXQ\nPVULCZGOOU\nUOLVZXNUPOQRZGWFVDSCANQTCLEIE\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "IXFDY\nJRMOU\nDF\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "ZWCOJFORBPHXCOVJIDPKVECMHVHCOC\nTEV\nJVGTBFTLFVIEPCCHODOFOMCVZHWXVCPEH\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "PXWRXRPFLR\nPJRWWXIVHODV\nXW\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "WYSJFEREGELSKRQRXDXCGBODEFZVSI\nPEJKMGFLBFFDWRCRFSHVEFLEBTJCVCHRJTLDTISHPOGFWPLEWNYJLMXWIAOTYOXMV\nHXERTZWLEXTPIOTFRVMEJVYFFJLRPFMXDEBNSGCEOFFCWTKIDDGCFYSJKGLHBORWEPLDRXRSJYBGASSVCMHEEJFLVI\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "GDSLNIIKTO\nJF\nPDQYFKDTNOLI\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "OQZACLPSAGYDWHFXDFYFRRXWGIEJGSXWUONAFWNFXDTGVNDEWNQPHUXUJNZWWLBPYL\nOHBKWRFDRQUAFRCMT\nWIQRYXRJQWWRUWCYXNXALKFZGXFTLOODWRDPGURFUFUQOHPWBASZNVWXNCAGHWEHFYESJNFBMNFDDAPLDGT\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "XJXPVOOQODELPPWUISSYVVXRJTYBPDHJNENQEVQNVFIXSESKXVYPVVHPMOSX\nLEXOPFPVPSZK\nZVXVPYEYOYXVOISVLXPOVHEQVXPNQJIOPFDTXEUNMPEPPHELNXKKWSVSOXSBPSJDPVJVSRFQ\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "ZMYGQLDBLAPN\nZFJBKWHROVNPSJQUDFTHOCGREUFLYIWYICD\nZMJZZEDAZANKZZZZZZEZZBZDZZZZZZKHZZFZZZDZNZMDZZA\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "EPBMDIUQAAUGLBIETKOKFLMTCVEPETWJRHHYKCKU\nHGMAETVPCFZYNNKDQXVXUALHYLOTCHM\nECGXACVKEYMCEDOTMKAUFHLHOMT\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "MKVJTSSTDGKPVVDPYSRJJYEVGKBMSIOKHLZQAEWLRIBINVRDAJIBCEITKDHUCCVY\nPUJJQFHOGZKTAVNUGKQUHMKTNHCCTI\nQVJKUSIGTSVYUMOMLEGHWYKSKQTGATTKBNTKCJKJPCAIRJIRMHKBIZISEGFHVUVQZBDERJCVAKDLNTHUDCHONDCVVJIYPP\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "AGFIGYWJLVMYZGNQHEHWKJIAWBPUAQFERMCDROFN\nPMJNHMVNRGCYZAVRWNDSMLSZHFNYIUWFPUSKKIGU\nMCDVPPRXGUAYLSDRHRURZASXUWZSIIEZCPXUVEONKNGNWRYGOSFMCKESMVJZHWWUCHWDQMLASLNNMHAU\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "CWLRBPMEZCXAPUUQFXCUHAQTLPBTXUUKWVXKBHKNSSJFEXLZMXGVFHHVTPYAQYTIKXJJE\nMUFOSEUEXEQTOVLGDSCWM\nJUKEQCXOXWEHCGKFPBIGMWVJLXUONFXBYTUAXERYTXKCESKLXAEHVPZMMUFTHLXTTZSDMBJLQPEUWCVUHSQQVUASPF\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "IQ\nOQ\nQOQIGGKFNHJSGCGM\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "NBJGVNGUISUXQTBOBKYHQCOOVQWUXWPXBUDLXPKX\nNSFQDFUMQDQWQ\nWXKKVNTDQQFXCUQBIMQGQHSLVGWSBFYBUPOWPBDUUJUXQNOQDNXOX\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "AC\nA\nBBA\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "OSKFHGYNQLSRFSAHPXKGPXUHXTRBJNAQRBSSWJVEENLJCDDHFXVCUNPZAIVVO\nFNUOCXAGRRHNDJAHVVLGGEZQHWARYHENBKHP\nUOEFNWVXCUNERLKVTHAGPSHKHDYFPYWZHJKHQLSNFBJHVJANRXCNSDUGVDABGHVAOVHBJZXGRACHRXEGNRPQEAPORQSILNXFS\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "VFQRWWWACX\nGHZJPOQUSXRAQDGOGMR\nOPAWDOUSGWWCGQXXQAZJRQRGHRMVF\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "Z\nO\nZOCNDOLTBZKQLTBOLDEGXRHZGTTPBJBLSJCVSVXISQZCSFDEBXRCSGBGTHWOVIXYHACAGBRYBKBJAEPIQZHVEGLYH\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "ONDOL\nJNPB\nONLNJBODP\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "OI\nM\nIMO\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "ROUWANOPNIGTVMIITVMZ\nOQTUPZMTKUGY\nVTVNGZITGPUNPMQOOATUUIYIWMMKZOTR\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "SRROWANGUGZHCIEFYMQVTWVOMDWPUZJFRDUMVFHYNHNTTGNXCJ\nDJYWGLBFCCECXFHOLORDGDCNRHPWXNHXFCXQCEZUHRRNAEKUIX\nWCUJDNYHNHYOPWMHLDCDYRWBVOGHFFUKOZTXJRXJHRGWICCMRNEVNEGQWTZPNFCSHDRFCFQDCXMHTLUGZAXOFNXNVGUEXIACRERU\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "JPSPZ\nUGCUB\nJMZZZZZZZZ\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "A\nB\nABC\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "JUTCN\nPIGMZOPMEUFADQBW\nNWQGZMAIPUPOMCDUB\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "GIO\nPRL\nPRL\n"
},
"output": {
"stdout": "NO"
}
},
{
"input": {
"stdin": "WGMBZWNMSJXNGDUQUJTCNXDSJJLYRDOPEGPQXYUGBESDLFTJRZDDCAAFGCOCYCQMDBWK\nYOBMOVYTUATTFGJLYUQD\nDYXVTLQCYFJUNJTUXPUYOPCBCLBWNSDUJRJGWDOJDSQAAMUOJWSYERDYDXYTMTOTMQCGQZDCGNFBALGGDFKZMEBG\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
"stdin": "WYXUZQJQNLASEGLHPMSARWMTTQMQLVAZLGHPIZTRVTCXDXBOLNXZPOFCTEHCXBZ\nBLQZRRWP\nGIQZXPLTTMNHQVWPPEAPLOCDMBSTHRCFLCQRRZXLVAOQEGZBRUZJXXZTMAWLZHSLWNQTYXB\n"
},
"output": {
"stdout": "YES"
}
},
{
"input": {
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"stdout": "NO"
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"input": {
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"stdout": "YES"
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"output": {
"stdout": "NO"
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}
] |
{
"tags": [
"implementation",
"sortings",
"strings"
],
"title": "Amusing Joke"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n char h[101], g[101], comb[101];\n cin >> h >> g >> comb;\n if (strlen(comb) != strlen(h) + strlen(g))\n cout << \"NO\";\n else {\n for (int i = 0; i < (int)strlen(g); i++) {\n for (int j = 0; j < (int)strlen(comb); j++) {\n if (comb[j] == g[i]) {\n comb[j] = '1';\n break;\n }\n }\n }\n for (int i = 0; i < (int)strlen(h); i++) {\n for (int j = 0; j < (int)strlen(comb); j++) {\n if (comb[j] == h[i]) {\n comb[j] = '1';\n break;\n }\n }\n }\n for (int i = 0; i < (int)strlen(comb); i++) {\n if (comb[i] != '1') {\n cout << \"NO\";\n return 0;\n }\n }\n cout << \"YES\";\n }\n return 0;\n}\n",
"java": "\n\nimport java.io.*;\nimport java.math.*;\nimport java.util.*;\n\npublic class THV {\n\n public static void print(int n) {\n if (n != 0) {\n\n for (int i = 0; i < n; ++i) {\n System.out.print(\"*\");\n }\n System.out.println();\n print(n - 1);\n }\n\n }\n\n public static void rev(int n) {\n if (n != 0) {\n rev(n - 1);\n System.out.print(n + \" \");\n\n }\n }\n\n public static void printx(int n) {\n if (n < 1) {\n return;\n }\n printx(n - 1);\n System.out.print(n + \" \");\n\n }\n\n public static String revers(String x, int i) {\n\n if (i * 2 < x.length()) {\n return revers(x += x.charAt((x.length() - 1) - (i * 2)), i + 1);\n }\n\n return x.substring(x.length() / 2, x.length());\n }\n\n public static long powRec(int base, int exp) {\n if (exp != 1) {\n return base * powRec(base, exp - 1);\n }\n return base;\n }\n\n public static long pow(int base, int exp) {\n int temp = 1;\n for (int j = 1; j <= exp; j++) {\n temp *= base;\n }\n return temp;\n\n }\n\n public static int sumDigit(int x) {\n if (x != 0) {\n return x % 10 + sumDigit(x / 10);\n }\n return x;\n }\n\n public static long nFibRec(int n) {\n if (n == 1 || n == 0) {\n return n;\n }\n\n return nFibRec(n - 1) + nFibRec(n - 2);\n\n }\n\n public static int factor(int n) {\n int x = 1;\n if (n != 0) {\n x = n * factor(n - 1);\n\n System.out.println(\"!\" + n + \"= \" + x);\n }\n return x;\n }\n\n public static long nFib(int n) {\n\n int x = 0, y = 0, z = 1;\n for (int j = 0; j <= n; j++) {\n if (j == 1 || j == 0) {\n System.out.println(j);\n x += j;\n\n } else {\n System.out.println(y + \" \" + z);\n x = y + z;\n y = z;\n z = x;\n }\n\n }\n return x;\n }\n\n public static String replacex(String x, int i) {\n\n if (i == x.length() - 1) {\n return x;\n }\n if (x.charAt(i) == x.charAt(i + 1)) {\n return replacex(x.substring(0, i) + x.substring(i, i + 1) + x.substring(i + 2, x.length()), i);\n }\n return replacex(x, i + 1);\n }\n\n public String reString(String x, int i, char z) {\n if (i == x.length()) {\n return \"\";\n }\n if (x.charAt(i) != z) {\n return x.charAt(i) + reString(x, i + 1, x.charAt(i));\n } else {\n return reString(x, i + 1, z);\n }\n }\n\n public static int gcd(int a, int b) {\n if (a == 0) {\n return b;\n }\n return gcd(b % a, a);\n }\n\n public static void arr(int[] a, int x) {\n int y = a.length - x - 1;\n if (x < y) {\n int temp = a[x];\n a[x] = a[y];\n a[y] = temp;\n arr(a, x + 1);\n }\n }\n\n public static void revers_sort(int[] p) {\n for (int i = 0; i < p.length; i++) {\n for (int j = 0; j < p.length; j++) {\n if (p[j] < p[i]) {\n int temp = p[i];\n p[i] = p[j];\n p[j] = temp;\n }\n }\n }\n }\n\n public static void main(String[] args) {\n\n Scanner input = new Scanner(System.in);\n String a = input.next();\n String b = input.next();\n String c = input.next();\n a += b;\n char[] x = a.toCharArray();\n char[] y = c.toCharArray();\n Arrays.sort(x);\n Arrays.sort(y);\n // System.out.println(Arrays.toString(x));\n // System.out.println(Arrays.toString(y));\n if (Arrays.equals(x, y)) {\n System.out.println(\"\"\n + \"YES\");\n } else {\n System.out.println(\"NO\");\n }\n\n }\n\n}\n",
"python": "def main():\n christmas_man = raw_input()\n new_year_man = raw_input()\n characters = raw_input()\n #x = sorted(christmas_man + new_year_man)\n #y = sorted(characters)\n #return \"YES\" if x == y else \"NO\"\n s = christmas_man + new_year_man\n for c in s:\n if s.count(c) != characters.count(c):\n return \"NO\"\n for c in characters:\n if s.count(c) != characters.count(c):\n return \"NO\"\n return \"YES\"\n\n\nprint main()\n"
}
|
|
|
# Specific Tastes of Andre
Andre has very specific tastes. Recently he started falling in love with arrays.
Andre calls an nonempty array b good, if sum of its elements is divisible by the length of this array. For example, array [2, 3, 1] is good, as sum of its elements — 6 — is divisible by 3, but array [1, 1, 2, 3] isn't good, as 7 isn't divisible by 4.
Andre calls an array a of length n perfect if the following conditions hold:
* Every nonempty subarray of this array is good.
* For every i (1 ≤ i ≤ n), 1 ≤ a_i ≤ 100.
Given a positive integer n, output any perfect array of length n. We can show that for the given constraints such an array always exists.
An array c is a subarray of an array d if c can be obtained from d by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.
Input
Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 100). Description of the test cases follows.
The first and only line of every test case contains a single integer n (1 ≤ n ≤ 100).
Output
For every test, output any perfect array of length n on a separate line.
Example
Input
3
1
2
4
Output
24
19 33
7 37 79 49
Note
Array [19, 33] is perfect as all 3 its subarrays: [19], [33], [19, 33], have sums divisible by their lengths, and therefore are good.
|
[
{
"input": {
"stdin": "3\n1\n2\n4\n"
},
"output": {
"stdout": "1\n1 1\n1 1 1 1\n"
}
},
{
"input": {
"stdin": "100\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n45\n46\n47\n48\n49\n50\n51\n52\n53\n54\n55\n56\n57\n58\n59\n60\n61\n62\n63\n64\n65\n66\n67\n68\n69\n70\n71\n72\n73\n74\n75\n76\n77\n78\n79\n80\n81\n82\n83\n84\n85\n86\n87\n88\n89\n90\n91\n92\n93\n94\n95\n96\n97\n98\n99\n100\n"
},
"output": {
"stdout": "1\n1 1\n1 1 1\n1 1 1 1\n1 1 1 1 1\n1 1 1 1 1 1\n1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 \n"
}
}
] |
{
"tags": [
"constructive algorithms",
"implementation"
],
"title": "Specific Tastes of Andre "
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long add(long long x, long long y) {\n x += y;\n while (x >= 998244353) x -= 998244353;\n while (x < 0) x += 998244353;\n return x;\n}\nlong long mul(long long x, long long y) { return (x * 1ll * y) % 998244353; }\nlong long binpow(long long x, long long y) {\n long long z = 1;\n while (y > 0) {\n if (y % 2 == 1) z = mul(z, x);\n x = mul(x, x);\n y /= 2;\n }\n return z;\n}\nlong long inv(long long x) { return binpow(x, 998244353 - 2); }\nlong long divide(long long x, long long y) { return mul(x, inv(y)); }\nsigned main() {\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n long long test;\n cin >> test;\n while (test--) {\n long long n;\n cin >> n;\n vector<long long> a(n, 1);\n for (long long i = 0; i < (long long)n; ++i) cout << a[i] << ' ';\n cout << endl;\n }\n return 0;\n}\n",
"java": "import java.util.Scanner;\n\npublic class advancedPattern3 {\n\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(System.in);\n\t\tint test = sc.nextInt();\n\t\twhile(test-->0) {\n\t\t\tint n = sc.nextInt();\n\t\t\tfor(int i=1;i<=n;i++) {\n\t\t\t\tSystem.out.print(\"1 \");\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t\t\n\t}\n\n}\n",
"python": "n=int(input())\nfor i in range(n):\n a=int(input())\n for j in range(a):\n print(1,end=\" \")\n print()"
}
|
|
|
# The Treasure of The Segments
Polycarp found n segments on the street. A segment with the index i is described by two integers l_i and r_i — coordinates of the beginning and end of the segment, respectively. Polycarp realized that he didn't need all the segments, so he wanted to delete some of them.
Polycarp believes that a set of k segments is good if there is a segment [l_i, r_i] (1 ≤ i ≤ k) from the set, such that it intersects every segment from the set (the intersection must be a point or segment). For example, a set of 3 segments [[1, 4], [2, 3], [3, 6]] is good, since the segment [2, 3] intersects each segment from the set. Set of 4 segments [[1, 2], [2, 3], [3, 5], [4, 5]] is not good.
Polycarp wonders, what is the minimum number of segments he has to delete so that the remaining segments form a good set?
Input
The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — number of test cases. Then t test cases follow.
The first line of each test case contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of segments. This is followed by n lines describing the segments.
Each segment is described by two integers l and r (1 ≤ l ≤ r ≤ 10^9) — coordinates of the beginning and end of the segment, respectively.
It is guaranteed that the sum of n for all test cases does not exceed 2 ⋅ 10^5.
Output
For each test case, output a single integer — the minimum number of segments that need to be deleted in order for the set of remaining segments to become good.
Example
Input
4
3
1 4
2 3
3 6
4
1 2
2 3
3 5
4 5
5
1 2
3 8
4 5
6 7
9 10
5
1 5
2 4
3 5
3 8
4 8
Output
0
1
2
0
|
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{
"input": {
"stdin": "4\n3\n1 4\n4 3\n2 6\n4\n1 2\n2 3\n3 5\n4 5\n5\n0 2\n2 8\n4 5\n6 7\n7 10\n5\n1 5\n2 4\n3 5\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n0\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n4 3\n3 5\n4 5\n5\n0 2\n3 8\n4 5\n6 7\n9 10\n5\n1 2\n2 4\n3 5\n4 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 3\n3 5\n4 5\n5\n0 4\n3 8\n4 5\n6 7\n9 10\n5\n1 5\n2 4\n3 5\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "7\n1\n1 2\n1\n2 2\n1\n2 2\n1\n2 3\n1\n1 3\n1\n1 2\n1\n1 3\n"
},
"output": {
"stdout": "0\n0\n0\n0\n0\n0\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n1 3\n3 6\n4\n1 2\n4 3\n3 5\n2 5\n5\n1 2\n3 7\n4 5\n6 7\n9 10\n5\n1 5\n2 4\n3 5\n1 8\n3 8\n"
},
"output": {
"stdout": "0\n0\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 1\n3 5\n4 5\n5\n1 2\n3 8\n4 5\n6 7\n9 10\n5\n1 5\n2 4\n6 5\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n2\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 3\n3 5\n4 5\n5\n0 2\n4 8\n4 5\n6 7\n9 10\n5\n1 5\n2 4\n3 5\n2 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n1 3\n3 6\n4\n1 2\n2 3\n3 5\n4 10\n5\n0 2\n2 8\n4 5\n6 7\n9 10\n5\n1 5\n2 1\n3 5\n2 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 2\n3 5\n4 5\n5\n1 2\n3 7\n4 5\n4 7\n9 10\n5\n1 5\n2 4\n3 5\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n2\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 1\n3 5\n4 5\n5\n1 2\n3 8\n4 5\n6 7\n9 10\n5\n1 5\n3 4\n6 9\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n2\n2\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n3 6\n4\n1 2\n2 3\n3 5\n4 5\n5\n0 4\n3 8\n4 5\n6 7\n9 10\n5\n1 2\n2 4\n3 5\n3 8\n4 8\n"
},
"output": {
"stdout": "0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "4\n3\n1 4\n2 3\n5 6\n4\n1 2\n2 3\n3 5\n4 5\n5\n0 4\n3 8\n4 5\n6 7\n9 10\n5\n1 5\n2 4\n3 5\n3 8\n4 8\n"
},
"output": {
"stdout": "1\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "7\n1\n1 2\n1\n1 2\n1\n1 2\n1\n2 3\n1\n1 3\n1\n1 4\n1\n1 3\n"
},
"output": {
"stdout": "0\n0\n0\n0\n0\n0\n0\n"
}
},
{
"input": {
"stdin": "7\n1\n1 2\n1\n2 2\n1\n1 2\n1\n2 2\n1\n1 3\n1\n1 4\n1\n1 3\n"
},
"output": {
"stdout": "0\n0\n0\n0\n0\n0\n0\n"
}
}
] |
{
"tags": [
"binary search",
"data structures",
"greedy"
],
"title": "The Treasure of The Segments"
}
|
{
"cpp": "#include <bits/stdc++.h>\n\nusing namespace std;\n\n\nint main() {\n\tint T;\n\tcin >> T;\n\twhile (T--) {\n\t\tint n;\n\t\tscanf(\"%d\", &n);\n\n\t\tvector<pair<int, int>> sg(n);\n\t\tfor (auto &[l, r] : sg) {\n\t\t\tscanf(\"%d%d\", &l, &r);\n\t\t}\n\t\tint mx = 0;\n\n\t\tvector <int> st, ed;\n\t\tfor (auto &[l, r] : sg) {\n\t\t\tst.push_back(l);\n\t\t\ted.push_back(r);\n\t\t}\n\t\tsort(st.begin(), st.end());\n\t\tsort(ed.begin(), ed.end());\n\t\tint ans = n;\n\t\tfor (auto[l, r] : sg) {\n\t\t\tint cnt = upper_bound(st.begin(), st.end(), r)-st.begin();\n\t\t\tcnt -= upper_bound(ed.begin(), ed.end(), l-1)-ed.begin();\n\t\t\tans = min(ans, n-cnt);\n\t\t}\n\t\tcout << ans << endl;\n\t}\n\n}",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.HashMap;\nimport java.util.StringTokenizer;\nimport java.util.TreeSet;\n\npublic class F\n{\n\t\n\tpublic static void main(String[] args)\n\t{\n\t\tFastScanner sc = new FastScanner();\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\t\n\t\tint t = sc.nextInt();\n\t\t\n\t\twhile(t-->0)\n\t\t{\n\t\t\tint n = sc.nextInt();\n\t\t\tSeg[] arr = new Seg[n];\n\t\t\tTreeSet<Integer> xs = new TreeSet<Integer>();\n\t\t\t\n\t\t\tfor(int i=0;i<n;i++)\n\t\t\t\tarr[i] = new Seg(sc.nextInt(),sc.nextInt());\n\t\t\t\n\t\t\tfor(Seg s:arr)\n\t\t\t{\n\t\t\t\txs.add(s.a);\n\t\t\t\txs.add(s.b);\n\t\t\t}\n\t\t\t\t\n\t\t\tHashMap<Integer,Integer> compress = new HashMap<Integer,Integer>();\n\t\t\tfor(int x:xs)\n\t\t\t\tcompress.put(x, 1+compress.size());\n\t\t\t\n\t\t\tfor(Seg s:arr)\n\t\t\t{\n\t\t\t\ts.a = compress.get(s.a);\n\t\t\t\ts.b = compress.get(s.b);\n\t\t\t}\n\t\t\t\n\t\t\tbit beg = new bit(2*n+16);\n\t\t\tbit end = new bit(2*n+16);\n\t\t\t\n\t\t\tfor(Seg s:arr)\n\t\t\t{\n\t\t\t\tbeg.add(s.a,1);\n\t\t\t\tend.add(s.b, 1);\n\t\t\t}\n\t\t\t\n\t\t\tint min = 2*n+16;\n\t\t\t\n\t\t\tfor(Seg s:arr)\n\t\t\t\tmin = Math.min(min, end.sum(s.a-1)+beg.sum(s.b+1,2*n+16) );\n\t\t\t\n\t\t\tout.println(min);\n\t\t\t\n\t\t}\n\t\t\n\t\tout.close();\n\t\t\n\t\t\n\t}\n\t\n\tstatic class Seg\n\t{\n\t\tint a;\n\t\tint b;\n\t\t\n\t\tSeg(int a, int b)\n\t\t{\n\t\t\tthis.a=a;\n\t\t\tthis.b=b;\n\t\t}\n\t}\n\t\n\tstatic class bit {\n\n\t\tint n;\n\t\tint[] table;\n\n\t\tpublic bit(int myn) {\n\t\t\tn = 1;\n\t\t\twhile (n <= myn) {\n\t\t\t\tn = (n << 1);\n\t\t\t}\n\t\t\ttable = new int[n + 1];\n\n\t\t}\n\n\t\tpublic void add(int i, int v) {\n\t\t\twhile (i <= n) {\n\t\t\t\ttable[i] += v;\n\t\t\t\ti += (i & (-i));\n\t\t\t}\n\t\t}\n\n\t\tpublic int sum(int i) {\n\t\t\tint res = 0;\n\t\t\twhile (i > 0) {\n\t\t\t\tres += table[i];\n\t\t\t\ti -= (i & (-i));\n\t\t\t}\n\t\t\treturn res;\n\t\t}\n\t\t\n\t\tpublic int sum(int i,int j) {\n\t\t\treturn sum(j) - sum(i-1);\n\t\t}\n\t\t\n\t}\n\t\n\t\n\tstatic class FastScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\n\t\tpublic FastScanner() {\n\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t}\n\n\t\tString next() {\n\t\t\twhile (st == null || !st.hasMoreElements()) {\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\n\t\tdouble nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\n\t\tString nextLine() {\n\t\t\tString str = \"\";\n\t\t\ttry {\n\t\t\t\tstr = br.readLine();\n\t\t\t} catch (IOException e) {\n\t\t\t\te.printStackTrace();\n\t\t\t}\n\t\t\treturn str;\n\t\t}\n\t}\n\t\n}\n",
"python": "import sys\nfrom array import array # noqa: F401\nimport typing as Tp # noqa: F401\n\n\ndef input():\n return sys.stdin.buffer.readline().decode('utf-8')\n\n\ndef output(*args):\n sys.stdout.buffer.write(\n ('\\n'.join(map(str, args)) + '\\n').encode('utf-8')\n )\n\n\ndef main():\n t = int(input())\n ans_a = [''] * t\n\n for ti in range(t):\n n = int(input())\n segments = []\n coord_set = set()\n\n for li, ri in (map(int, input().split()) for _ in range(n)):\n segments.append((li, ri))\n coord_set.update((li, ri))\n\n comp_dict = {x: i for i, x in enumerate(sorted(coord_set), start=1)}\n max_x = len(comp_dict) + 1\n imos_l = [0] * (max_x + 10)\n imos_r = [0] * (max_x + 10)\n\n for li, ri in segments:\n imos_l[comp_dict[li]] += 1\n imos_r[comp_dict[ri]] += 1\n\n for i in range(max_x + 5):\n imos_r[i + 1] += imos_r[i]\n for i in range(max_x + 5, 0, -1):\n imos_l[i - 1] += imos_l[i]\n\n ans = n - 1\n\n for li, ri in segments:\n ans = min(\n ans,\n imos_l[comp_dict[ri] + 1] + imos_r[comp_dict[li] - 1]\n )\n\n ans_a[ti] = str(ans)\n\n output(*ans_a)\n\n\nif __name__ == '__main__':\n main()\n"
}
|
|
|
# String Counting
You have c_1 letters 'a', c_2 letters 'b', ..., c_{26} letters 'z'. You want to build a beautiful string of length n from them (obviously, you cannot use the i-th letter more than c_i times). Each c_i is greater than n/3.
A string is called beautiful if there are no palindromic contiguous substrings of odd length greater than 1 in it. For example, the string "abacaba" is not beautiful, it has several palindromic substrings of odd length greater than 1 (for example, "aca"). Another example: the string "abcaa" is beautiful.
Calculate the number of different strings you can build, and print the answer modulo 998244353.
Input
The first line contains one integer n (3 ≤ n ≤ 400).
The second line contains 26 integers c_1, c_2, ..., c_{26} (n/3 < c_i ≤ n).
Output
Print one integer — the number of strings you can build, taken modulo 998244353.
Examples
Input
4
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Output
422500
Input
3
2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 3 2 2 3 2 2 3 2 2
Output
16900
Input
400
348 322 247 158 209 134 151 267 268 176 214 379 372 291 388 135 147 304 169 149 193 351 380 368 181 340
Output
287489790
|
[
{
"input": {
"stdin": "3\n2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 3 2 2 3 2 2 3 2 2\n"
},
"output": {
"stdout": "\n16900\n"
}
},
{
"input": {
"stdin": "400\n348 322 247 158 209 134 151 267 268 176 214 379 372 291 388 135 147 304 169 149 193 351 380 368 181 340\n"
},
"output": {
"stdout": "\n287489790\n"
}
},
{
"input": {
"stdin": "4\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n"
},
"output": {
"stdout": "\n422500\n"
}
},
{
"input": {
"stdin": "200\n112 148 97 141 95 91 105 109 163 160 75 184 181 163 199 136 129 71 105 190 139 76 129 128 150 105\n"
},
"output": {
"stdout": "538915053\n"
}
},
{
"input": {
"stdin": "5\n4 2 4 2 2 3 2 4 2 5 3 2 5 4 3 4 5 5 5 3 3 5 2 4 3 4\n"
},
"output": {
"stdout": "10553750\n"
}
},
{
"input": {
"stdin": "400\n194 143 315 228 348 299 213 276 225 309 256 167 168 343 159 226 399 381 213 374 174 389 394 150 370 325\n"
},
"output": {
"stdout": "497279028\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 74 91 76 86 59 63 37 71 45 73 82 70 91 51 75 87 86 44 92 98 94\n"
},
"output": {
"stdout": "30031098\n"
}
},
{
"input": {
"stdin": "400\n249 210 191 186 220 281 294 308 143 388 303 252 136 186 320 245 223 245 185 201 145 167 210 188 136 295\n"
},
"output": {
"stdout": "143327999\n"
}
},
{
"input": {
"stdin": "400\n400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400\n"
},
"output": {
"stdout": "886573169\n"
}
},
{
"input": {
"stdin": "400\n400 399 398 397 396 395 394 393 392 391 390 389 388 387 386 385 384 383 382 381 380 379 378 377 376 375\n"
},
"output": {
"stdout": "886573169\n"
}
},
{
"input": {
"stdin": "400\n161 229 343 252 223 344 146 318 272 303 285 186 397 207 215 155 174 351 368 299 216 343 266 365 260 314\n"
},
"output": {
"stdout": "761892275\n"
}
},
{
"input": {
"stdin": "6\n5 4 6 4 4 5 6 5 6 4 3 3 4 6 3 6 5 4 4 5 5 4 4 4 5 5\n"
},
"output": {
"stdout": "264060625\n"
}
},
{
"input": {
"stdin": "300\n104 117 283 272 181 166 213 208 109 207 145 104 106 166 124 295 269 297 112 151 257 143 290 143 262 264\n"
},
"output": {
"stdout": "953237161\n"
}
},
{
"input": {
"stdin": "400\n134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134\n"
},
"output": {
"stdout": "371923625\n"
}
},
{
"input": {
"stdin": "400\n249 242 350 396 193 157 270 269 207 367 160 374 161 147 184 200 271 187 165 178 253 194 299 388 198 304\n"
},
"output": {
"stdout": "378857976\n"
}
},
{
"input": {
"stdin": "4\n2 2 2 2 4 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3\n"
},
"output": {
"stdout": "422500\n"
}
},
{
"input": {
"stdin": "200\n112 148 174 141 95 91 105 136 163 160 75 139 181 163 199 136 98 71 171 134 139 76 129 128 150 105\n"
},
"output": {
"stdout": "820839482\n"
}
},
{
"input": {
"stdin": "4\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 2 2\n"
},
"output": {
"stdout": "422500\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 74 91 76 86 59 63 37 71 45 37 82 70 91 51 75 87 86 44 92 98 94\n"
},
"output": {
"stdout": "849760996\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 74 91 76 86 59 63 37 71 45 73 82 70 91 51 90 47 86 44 92 98 94\n"
},
"output": {
"stdout": "253989216\n"
}
},
{
"input": {
"stdin": "300\n104 118 132 272 181 166 213 208 147 207 145 197 106 121 239 295 269 297 112 151 264 143 290 143 262 264\n"
},
"output": {
"stdout": "122785937\n"
}
},
{
"input": {
"stdin": "300\n104 117 187 272 181 135 213 208 109 207 145 104 106 166 239 295 269 297 112 151 257 102 290 143 225 264\n"
},
"output": {
"stdout": "455298152\n"
}
},
{
"input": {
"stdin": "400\n134 209 134 134 134 134 134 182 134 134 134 134 134 134 134 134 199 134 134 134 134 134 134 216 134 134\n"
},
"output": {
"stdout": "770658559\n"
}
},
{
"input": {
"stdin": "4\n2 2 2 2 4 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 3\n"
},
"output": {
"stdout": "422500\n"
}
},
{
"input": {
"stdin": "5\n4 2 4 3 2 3 2 4 3 5 3 2 5 4 2 4 5 4 5 3 3 5 2 4 5 5\n"
},
"output": {
"stdout": "10555000\n"
}
},
{
"input": {
"stdin": "400\n134 134 186 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134\n"
},
"output": {
"stdout": "480525768\n"
}
},
{
"input": {
"stdin": "300\n104 117 150 272 181 135 213 208 109 207 145 104 106 166 239 295 269 297 112 151 257 143 290 143 262 264\n"
},
"output": {
"stdout": "671764376\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 74 59 76 86 59 63 37 71 45 73 82 70 91 51 90 47 86 44 92 98 94\n"
},
"output": {
"stdout": "253989216\n"
}
},
{
"input": {
"stdin": "5\n4 2 4 2 2 3 2 4 2 5 3 2 2 4 3 4 5 2 4 3 3 5 2 4 5 4\n"
},
"output": {
"stdout": "10551250\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 35 91 76 86 63 63 37 43 45 73 79 70 91 51 90 87 76 44 92 98 94\n"
},
"output": {
"stdout": "257772564\n"
}
},
{
"input": {
"stdin": "200\n112 148 97 141 95 91 105 109 163 160 75 184 181 163 199 136 98 71 171 190 103 76 129 128 150 105\n"
},
"output": {
"stdout": "381239163\n"
}
},
{
"input": {
"stdin": "3\n2 2 2 2 3 2 3 3 3 2 2 1 2 2 2 3 3 3 2 2 3 2 2 3 2 2\n"
},
"output": {
"stdout": "16850\n"
}
},
{
"input": {
"stdin": "200\n112 148 97 141 77 91 105 109 163 160 68 139 181 163 199 136 98 71 171 190 139 76 129 128 150 105\n"
},
"output": {
"stdout": "941156295\n"
}
},
{
"input": {
"stdin": "200\n112 148 97 141 95 91 105 109 163 160 75 184 181 163 199 136 98 71 105 190 139 76 129 128 150 105\n"
},
"output": {
"stdout": "381239163\n"
}
},
{
"input": {
"stdin": "300\n104 117 132 272 181 166 213 208 109 207 145 104 106 166 239 295 269 297 112 151 264 143 290 143 262 264\n"
},
"output": {
"stdout": "717421846\n"
}
},
{
"input": {
"stdin": "400\n400 399 398 397 396 395 394 393 392 391 390 389 388 314 386 385 384 383 382 381 380 379 228 377 376 375\n"
},
"output": {
"stdout": "886573169\n"
}
},
{
"input": {
"stdin": "400\n134 134 186 134 134 134 134 134 134 134 134 241 134 134 134 134 134 134 134 134 236 134 134 134 134 134\n"
},
"output": {
"stdout": "733338432\n"
}
},
{
"input": {
"stdin": "400\n134 134 186 265 134 134 134 154 134 134 134 241 134 134 134 134 134 134 134 134 236 134 134 134 134 134\n"
},
"output": {
"stdout": "508616120\n"
}
},
{
"input": {
"stdin": "5\n4 2 4 3 2 3 2 4 2 5 3 2 5 4 3 4 5 2 5 3 3 5 2 4 5 4\n"
},
"output": {
"stdout": "10553750\n"
}
},
{
"input": {
"stdin": "5\n4 2 4 3 2 5 2 4 2 5 3 2 5 4 2 4 5 4 5 3 3 5 2 4 5 5\n"
},
"output": {
"stdout": "10553750\n"
}
},
{
"input": {
"stdin": "300\n104 117 150 272 181 135 213 208 109 207 145 104 106 166 239 295 269 297 208 151 257 143 290 143 262 264\n"
},
"output": {
"stdout": "371602348\n"
}
},
{
"input": {
"stdin": "100\n50 57 81 76 53 35 91 76 86 63 63 37 71 45 73 82 70 91 51 90 87 76 44 92 98 94\n"
},
"output": {
"stdout": "137063655\n"
}
},
{
"input": {
"stdin": "400\n348 322 247 158 209 134 151 267 268 176 214 379 372 291 388 135 250 304 169 149 193 351 380 368 181 340\n"
},
"output": {
"stdout": "939688978\n"
}
},
{
"input": {
"stdin": "3\n2 2 2 2 2 1 3 3 3 2 2 2 2 2 2 3 3 3 1 2 3 2 2 3 2 2\n"
},
"output": {
"stdout": "16800\n"
}
},
{
"input": {
"stdin": "400\n134 134 134 134 249 134 134 310 134 134 134 134 162 134 134 134 199 163 134 245 134 134 134 216 134 134\n"
},
"output": {
"stdout": "901355527\n"
}
},
{
"input": {
"stdin": "400\n134 134 134 134 134 134 134 182 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134 134\n"
},
"output": {
"stdout": "826108761\n"
}
},
{
"input": {
"stdin": "400\n249 210 191 186 220 281 294 308 143 388 303 252 136 186 188 245 223 245 185 201 145 167 210 188 136 295\n"
},
"output": {
"stdout": "811710803\n"
}
},
{
"input": {
"stdin": "400\n134 134 134 134 134 134 134 310 134 134 134 134 134 134 134 134 199 134 134 245 134 134 134 216 134 177\n"
},
"output": {
"stdout": "862941768\n"
}
},
{
"input": {
"stdin": "400\n194 143 315 228 348 299 375 276 225 309 256 167 168 343 159 226 399 381 213 374 140 389 394 150 370 325\n"
},
"output": {
"stdout": "525520566\n"
}
},
{
"input": {
"stdin": "400\n400 399 398 397 396 395 394 393 392 391 390 389 388 387 386 385 384 383 382 381 380 379 228 377 376 375\n"
},
"output": {
"stdout": "886573169\n"
}
}
] |
{
"tags": [
"combinatorics",
"dp",
"fft",
"math"
],
"title": "String Counting"
}
|
{
"cpp": "#include <iostream>\n#include <cstdio>\n#include <cstdlib>\n#include <algorithm>\n#include <cmath>\n#include <vector>\n#include <set>\n#include <map>\n#include <unordered_set>\n#include <unordered_map>\n#include <queue>\n#include <ctime>\n#include <cassert>\n#include <complex>\n#include <string>\n#include <cstring>\n#include <chrono>\n#include <random>\n#include <bitset>\n#include <fstream>\nusing namespace std;\n#define int long long\n#define ii pair <int, int>\n#define app push_back\n#define all(a) a.begin(), a.end()\n#define bp __builtin_popcountll\n#define ll long long\n#define mp make_pair\n#define x first\n#define y second\n#define Time (double)clock()/CLOCKS_PER_SEC\n#define debug(x) std::cerr << #x << \": \" << x << '\\n';\n#define FOR(i, n) for (int i = 0; i < n; ++i)\n#define pb push_back\n#define trav(a, x) for (auto& a : x)\nusing vi = vector<int>;\ntemplate <typename T>\nstd::ostream& operator <<(std::ostream& output, const pair <T, T> & data)\n{\n output << \"(\" << data.x << \",\" << data.y << \")\";\n return output;\n}\ntemplate <typename T>\nstd::ostream& operator <<(std::ostream& output, const std::vector<T>& data)\n{\n for (const T& x : data)\n output << x << \" \";\n return output;\n}\nll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up\nll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down \nll math_mod(ll a, ll b) { return a - b * div_down(a, b); }\n#define tcT template<class T\n#define tcTU tcT, class U\ntcT> using V = vector<T>; \ntcT> void re(V<T>& x) { \n trav(a, x)\n cin >> a;\n}\ntcT> bool ckmin(T& a, const T& b) {\n return b < a ? a = b, 1 : 0; \n} // set a = min(a,b)\ntcT> bool ckmax(T& a, const T& b) {\n return a < b ? a = b, 1 : 0; \n}\nll gcd(ll a, ll b) {\n while (b) {\n tie(a, b) = mp(b, a % b);\n }\n return a;\n}\n\n//need define int long long\nnamespace Stuff {\nconst int MOD = 998244353;\nint mod(int n) {\n n %= MOD;\n if (n < 0) return n + MOD;\n else return n;\n} \nint fp(int a, int p) {\n int ans = 1, c = a;\n for (int i = 0; (1ll << i) <= p; ++i) {\n if ((p >> i) & 1) ans = mod(ans * c);\n c = mod(c * c);\n } \n return ans;\n} \nint dv(int a, int b) { return mod(a * fp(b, MOD - 2)); }\n};\nstruct M {\nll x;\nM (int x_) { x = Stuff::mod(x_); } \nM () { x = 0; }\nM operator + (M y) {\n int ans = x + y.x;\n if (ans >= Stuff::MOD)\n ans -= Stuff::MOD;\n return M(ans);\n}\nM operator - (M y) {\n int ans = x - y.x;\n if (ans < 0)\n ans += Stuff::MOD;\n return M(ans); \n} \nM operator * (M y) { return M(x * y.x % Stuff::MOD); } \nM operator / (M y) { return M(x * Stuff::fp(y.x, Stuff::MOD - 2) % Stuff::MOD); } \nM operator + (int y) { return (*this) + M(y); }\nM operator - (int y) { return (*this) - M(y); } \nM operator * (int y) { return (*this) * M(y); } \nM operator / (int y) { return (*this) / M(y); } \nM operator ^ (int p) { return M(Stuff::fp(x, p)); } \nvoid operator += (M y) { *this = *this + y; } \nvoid operator -= (M y) { *this = *this - y; } \nvoid operator *= (M y) { *this = *this * y; }\nvoid operator /= (M y) { *this = *this / y; } \nvoid operator += (int y) { *this = *this + y; } \nvoid operator -= (int y) { *this = *this - y; } \nvoid operator *= (int y) { *this = *this * y; }\nvoid operator /= (int y) { *this = *this / y; } \nvoid operator ^= (int p) { *this = *this ^ p; }\nbool operator == (M y) { return x == y.x; }\n}; \nstd::ostream& operator << (std::ostream& o, const M& a)\n{\n cout << a.x;\n return o;\n}\n\nconst int N = 207;\nM dp[N][N][N][3];\nM sum[N][N];\nM tot_A[N][N], tot_B[N][N];\n\nsigned main() {\n #ifdef ONLINE_JUDGE\n #define endl '\\n'\n ios_base::sync_with_stdio(0); cin.tie(0);\n #endif\n\n dp[1][1][0][0] = dp[1][0][1][1] = 1;\n dp[1][0][0][2] = 24;\n for (int i = 1; i + 1 < N; ++i) {\n FOR (a, N - 1) {\n FOR (b, N - 1) {\n FOR (k, 3) {\n auto x = dp[i][a][b][k];\n FOR (add, 2) {\n if (k != add) {\n if (add == 0) {\n dp[i + 1][a + 1][b][add] += x;\n }\n else {\n dp[i + 1][a][b + 1][add] += x;\n }\n }\n }\n if (k < 2) {\n dp[i + 1][a][b][2] += x * 24;\n }\n else {\n dp[i + 1][a][b][2] += x * 23;\n }\n }\n }\n }\n }\n\n\n int n;\n cin >> n;\n vi cnt(26);\n re(cnt);\n\n int A = n / 2;\n int B = (n + 1) / 2;\n\n FOR (i, N) {\n FOR (a, N) {\n FOR (b, N) {\n FOR (k, 3) {\n sum[i][a] += dp[i][a][b][k];\n if (i == A) {\n tot_A[a][b] += dp[i][a][b][k];\n }\n if (i == B) {\n tot_B[a][b] += dp[i][a][b][k];\n }\n }\n }\n }\n }\n\n M ans = M(26) * M(26) * (M(25) ^ (n - 2));\n FOR (c, 26) {\n FOR (a, A + 1) {\n FOR (b, B + 1) {\n if (a + b > cnt[c]) {\n ans -= sum[A][a] * sum[B][b];\n }\n }\n }\n }\n\n for (int i = N - 2; i >= 0; --i) {\n for (int j = N - 2; j >= 0; --j) {\n tot_B[i][j] += tot_B[i + 1][j] + tot_B[i][j + 1] - tot_B[i + 1][j + 1];\n }\n }\n\n auto get = [&] (int x, int y) {\n if (x >= N || y >= N)\n return M(0);\n ckmax(x, 0ll);\n ckmax(y, 0ll);\n return tot_B[x][y];\n };\n\n FOR (c1, 26) {\n FOR (c2, c1) {\n M bad = 0;\n FOR (a, N) {\n FOR (b, N) {\n int wa = cnt[c1] - a + 1;\n int wb = cnt[c2] - b + 1;\n bad += tot_A[a][b] * get(wa, wb);\n }\n }\n ans += bad;\n }\n }\n cout << ans << endl;\n}",
"java": "//package ecr104;\nimport java.io.*;\nimport java.util.ArrayDeque;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\nimport java.util.Queue;\n\npublic class G3 {\n\tInputStream is;\n\tFastWriter out;\n\tString INPUT = \"\";\n\n\tvoid solve()\n\t{\n\t\tfinal int mod = 998244353;\n\t\tint n = ni();\n\t\tint[] a = na(26);\n\t\tlong all = 26 * 26 * pow(25, n-2, mod) % mod;\n\n\t\tlong[][][] dp = new long[3][n+1][n+1];\n\t\tdp[0][1][0] = 1;\n\t\tdp[1][0][1] = 1;\n\t\tdp[2][0][0] = 1;\n\t\tfor(int i = 0;i < n-1;i++){\n\t\t\tlong[][][] ndp = new long[3][n+1][n+1];\n\t\t\tif(i == (n+1)/2-1){\n\t\t\t\tfor (int j = 0; j <= n; j++) {\n\t\t\t\t\tfor (int k = 0; j+k <= n; k++) {\n\t\t\t\t\t\tif (j + 1 <= n) {\n\t\t\t\t\t\t\tndp[0][j + 1][k] += dp[0][j][k] + dp[1][j][k] + dp[2][j][k] * 24;\n\t\t\t\t\t\t\tndp[0][j + 1][k] %= mod;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (k + 1 <= n) {\n\t\t\t\t\t\t\tndp[1][j][k + 1] += dp[0][j][k] + dp[1][j][k] + dp[2][j][k] * 24;\n\t\t\t\t\t\t\tndp[1][j][k + 1] %= mod;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tndp[2][j][k] += dp[0][j][k] + dp[1][j][k] + dp[2][j][k] * 24;\n\t\t\t\t\t\tndp[2][j][k] %= mod;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}else {\n\t\t\t\tfor (int j = 0; j <= n; j++) {\n\t\t\t\t\tfor (int k = 0; j+k <= n; k++) {\n\t\t\t\t\t\tif (j + 1 <= n) {\n\t\t\t\t\t\t\tndp[0][j + 1][k] += dp[1][j][k] + dp[2][j][k] * 24;\n\t\t\t\t\t\t\tndp[0][j + 1][k] %= mod;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (k + 1 <= n) {\n\t\t\t\t\t\t\tndp[1][j][k + 1] += dp[0][j][k] + dp[2][j][k] * 24;\n\t\t\t\t\t\t\tndp[1][j][k + 1] %= mod;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tndp[2][j][k] += dp[0][j][k] + dp[1][j][k] + dp[2][j][k] * 23;\n\t\t\t\t\t\tndp[2][j][k] %= mod;\n\t\t\t\t\t}\n\t\t\t\t}\n\n\t\t\t}\n\t\t\tdp = ndp;\n\t\t}\n\n\t\tlong[] sdp = new long[n+1];\n\t\tfor(int i = 0;i <= n;i++){\n\t\t\tfor(int j = 0;j <= n;j++){\n\t\t\t\tsdp[i] += dp[0][i][j] + dp[1][i][j] + dp[2][i][j] * 24;\n\t\t\t}\n\t\t\tsdp[i] %= mod;\n\t\t}\n\n\t\tfor(int i = 0;i < 26;i++){\n\t\t\tfor(int k = a[i]+1;k <= n;k++){\n\t\t\t\tall -= sdp[k];\n\t\t\t}\n\t\t}\n\n\t\tfor(int i = 0;i < 26;i++){\n\t\t\tfor(int j = i+1;j < 26;j++){\n\t\t\t\tfor(int k = a[i]+1;k <= n;k++){\n\t\t\t\t\tfor(int l = a[j]+1;l+k <= n;l++){\n\t\t\t\t\t\tall += (dp[0][k][l] + dp[1][k][l] + dp[2][k][l] * 24);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tall %= mod;\n\t\t\t}\n\t\t}\n\t\tall %= mod;\n\n\t\tif(all < 0)all += mod;\n\t\tout.println(all);\n\t}\n\n\tpublic static long pow(long a, long n, long mod) {\n\t\t//\t\ta %= mod;\n\t\tlong ret = 1;\n\t\tint x = 63 - Long.numberOfLeadingZeros(n);\n\t\tfor (; x >= 0; x--) {\n\t\t\tret = ret * ret % mod;\n\t\t\tif (n << 63 - x < 0) ret = ret * a % mod;\n\t\t}\n\t\treturn ret;\n\t}\n\n\n\tpublic static long invl(long a, long mod) {\n\t\tlong b = mod;\n\t\tlong p = 1, q = 0;\n\t\twhile (b > 0) {\n\t\t\tlong c = a / b;\n\t\t\tlong d;\n\t\t\td = a;\n\t\t\ta = b;\n\t\t\tb = d % b;\n\t\t\td = p;\n\t\t\tp = q;\n\t\t\tq = d - c * q;\n\t\t}\n\t\treturn p < 0 ? p + mod : p;\n\t}\n\n\n\tpublic static long C(int n, int r, int mod, int[][] fif) {\n\t\tif (n < 0 || r < 0 || r > n) return 0;\n\t\treturn (long) fif[0][n] * fif[1][r] % mod * fif[1][n - r] % mod;\n\t}\n\n\n\tpublic static int[][] enumFIF(int n, int mod) {\n\t\tint[] f = new int[n + 1];\n\t\tint[] invf = new int[n + 1];\n\t\tf[0] = 1;\n\t\tfor (int i = 1; i <= n; i++) {\n\t\t\tf[i] = (int) ((long) f[i - 1] * i % mod);\n\t\t}\n\t\tlong a = f[n];\n\t\tlong b = mod;\n\t\tlong p = 1, q = 0;\n\t\twhile (b > 0) {\n\t\t\tlong c = a / b;\n\t\t\tlong d;\n\t\t\td = a;\n\t\t\ta = b;\n\t\t\tb = d % b;\n\t\t\td = p;\n\t\t\tp = q;\n\t\t\tq = d - c * q;\n\t\t}\n\t\tinvf[n] = (int) (p < 0 ? p + mod : p);\n\t\tfor (int i = n - 1; i >= 0; i--) {\n\t\t\tinvf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod);\n\t\t}\n\t\treturn new int[][]{f, invf};\n\t}\n\n\n\tvoid run() throws Exception\n\t{\n\t\tis = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());\n\t\tout = new FastWriter(System.out);\n\t\t\n\t\tlong s = System.currentTimeMillis();\n\t\tsolve();\n\t\tout.flush();\n\t\ttr(System.currentTimeMillis()-s+\"ms\");\n\t}\n\t\n\tpublic static void main(String[] args) throws Exception { new G3().run(); }\n\t\n\tprivate byte[] inbuf = new byte[1024];\n\tpublic int lenbuf = 0, ptrbuf = 0;\n\t\n\tprivate int readByte()\n\t{\n\t\tif(lenbuf == -1)throw new InputMismatchException();\n\t\tif(ptrbuf >= lenbuf){\n\t\t\tptrbuf = 0;\n\t\t\ttry { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }\n\t\t\tif(lenbuf <= 0)return -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\t\n\tprivate boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }\n\tprivate int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }\n\t\n\tprivate double nd() { return Double.parseDouble(ns()); }\n\tprivate char nc() { return (char)skip(); }\n\t\n\tprivate String ns()\n\t{\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\t\n\tprivate char[] ns(int n)\n\t{\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile(p < n && !(isSpaceChar(b))){\n\t\t\tbuf[p++] = (char)b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\n\tprivate int[] na(int n)\n\t{\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = ni();\n\t\treturn a;\n\t}\n\n\tprivate long[] nal(int n)\n\t{\n\t\tlong[] a = new long[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = nl();\n\t\treturn a;\n\t}\n\n\tprivate char[][] nm(int n, int m) {\n\t\tchar[][] map = new char[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = ns(m);\n\t\treturn map;\n\t}\n\n\tprivate int[][] nmi(int n, int m) {\n\t\tint[][] map = new int[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = na(m);\n\t\treturn map;\n\t}\n\n\tprivate int ni() { return (int)nl(); }\n\n\tprivate long nl()\n\t{\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\n\tpublic static class FastWriter\n\t{\n\t\tprivate static final int BUF_SIZE = 1<<13;\n\t\tprivate final byte[] buf = new byte[BUF_SIZE];\n\t\tprivate final OutputStream out;\n\t\tprivate int ptr = 0;\n\n\t\tprivate FastWriter(){out = null;}\n\n\t\tpublic FastWriter(OutputStream os)\n\t\t{\n\t\t\tthis.out = os;\n\t\t}\n\n\t\tpublic FastWriter(String path)\n\t\t{\n\t\t\ttry {\n\t\t\t\tthis.out = new FileOutputStream(path);\n\t\t\t} catch (FileNotFoundException e) {\n\t\t\t\tthrow new RuntimeException(\"FastWriter\");\n\t\t\t}\n\t\t}\n\n\t\tpublic FastWriter write(byte b)\n\t\t{\n\t\t\tbuf[ptr++] = b;\n\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(char c)\n\t\t{\n\t\t\treturn write((byte)c);\n\t\t}\n\n\t\tpublic FastWriter write(char[] s)\n\t\t{\n\t\t\tfor(char c : s){\n\t\t\t\tbuf[ptr++] = (byte)c;\n\t\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(String s)\n\t\t{\n\t\t\ts.chars().forEach(c -> {\n\t\t\t\tbuf[ptr++] = (byte)c;\n\t\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\t});\n\t\t\treturn this;\n\t\t}\n\n\t\tprivate static int countDigits(int l) {\n\t\t\tif (l >= 1000000000) return 10;\n\t\t\tif (l >= 100000000) return 9;\n\t\t\tif (l >= 10000000) return 8;\n\t\t\tif (l >= 1000000) return 7;\n\t\t\tif (l >= 100000) return 6;\n\t\t\tif (l >= 10000) return 5;\n\t\t\tif (l >= 1000) return 4;\n\t\t\tif (l >= 100) return 3;\n\t\t\tif (l >= 10) return 2;\n\t\t\treturn 1;\n\t\t}\n\n\t\tpublic FastWriter write(int x)\n\t\t{\n\t\t\tif(x == Integer.MIN_VALUE){\n\t\t\t\treturn write((long)x);\n\t\t\t}\n\t\t\tif(ptr + 12 >= BUF_SIZE)innerflush();\n\t\t\tif(x < 0){\n\t\t\t\twrite((byte)'-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tint d = countDigits(x);\n\t\t\tfor(int i = ptr + d - 1;i >= ptr;i--){\n\t\t\t\tbuf[i] = (byte)('0'+x%10);\n\t\t\t\tx /= 10;\n\t\t\t}\n\t\t\tptr += d;\n\t\t\treturn this;\n\t\t}\n\n\t\tprivate static int countDigits(long l) {\n\t\t\tif (l >= 1000000000000000000L) return 19;\n\t\t\tif (l >= 100000000000000000L) return 18;\n\t\t\tif (l >= 10000000000000000L) return 17;\n\t\t\tif (l >= 1000000000000000L) return 16;\n\t\t\tif (l >= 100000000000000L) return 15;\n\t\t\tif (l >= 10000000000000L) return 14;\n\t\t\tif (l >= 1000000000000L) return 13;\n\t\t\tif (l >= 100000000000L) return 12;\n\t\t\tif (l >= 10000000000L) return 11;\n\t\t\tif (l >= 1000000000L) return 10;\n\t\t\tif (l >= 100000000L) return 9;\n\t\t\tif (l >= 10000000L) return 8;\n\t\t\tif (l >= 1000000L) return 7;\n\t\t\tif (l >= 100000L) return 6;\n\t\t\tif (l >= 10000L) return 5;\n\t\t\tif (l >= 1000L) return 4;\n\t\t\tif (l >= 100L) return 3;\n\t\t\tif (l >= 10L) return 2;\n\t\t\treturn 1;\n\t\t}\n\n\t\tpublic FastWriter write(long x)\n\t\t{\n\t\t\tif(x == Long.MIN_VALUE){\n\t\t\t\treturn write(\"\" + x);\n\t\t\t}\n\t\t\tif(ptr + 21 >= BUF_SIZE)innerflush();\n\t\t\tif(x < 0){\n\t\t\t\twrite((byte)'-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tint d = countDigits(x);\n\t\t\tfor(int i = ptr + d - 1;i >= ptr;i--){\n\t\t\t\tbuf[i] = (byte)('0'+x%10);\n\t\t\t\tx /= 10;\n\t\t\t}\n\t\t\tptr += d;\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(double x, int precision)\n\t\t{\n\t\t\tif(x < 0){\n\t\t\t\twrite('-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tx += Math.pow(10, -precision)/2;\n\t\t\t//\t\tif(x < 0){ x = 0; }\n\t\t\twrite((long)x).write(\".\");\n\t\t\tx -= (long)x;\n\t\t\tfor(int i = 0;i < precision;i++){\n\t\t\t\tx *= 10;\n\t\t\t\twrite((char)('0'+(int)x));\n\t\t\t\tx -= (int)x;\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln(char c){\n\t\t\treturn write(c).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(int x){\n\t\t\treturn write(x).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(long x){\n\t\t\treturn write(x).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(double x, int precision){\n\t\t\treturn write(x, precision).writeln();\n\t\t}\n\n\t\tpublic FastWriter write(int... xs)\n\t\t{\n\t\t\tboolean first = true;\n\t\t\tfor(int x : xs) {\n\t\t\t\tif (!first) write(' ');\n\t\t\t\tfirst = false;\n\t\t\t\twrite(x);\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(long... xs)\n\t\t{\n\t\t\tboolean first = true;\n\t\t\tfor(long x : xs) {\n\t\t\t\tif (!first) write(' ');\n\t\t\t\tfirst = false;\n\t\t\t\twrite(x);\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln()\n\t\t{\n\t\t\treturn write((byte)'\\n');\n\t\t}\n\n\t\tpublic FastWriter writeln(int... xs)\n\t\t{\n\t\t\treturn write(xs).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(long... xs)\n\t\t{\n\t\t\treturn write(xs).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(char[] line)\n\t\t{\n\t\t\treturn write(line).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(char[]... map)\n\t\t{\n\t\t\tfor(char[] line : map)write(line).writeln();\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln(String s)\n\t\t{\n\t\t\treturn write(s).writeln();\n\t\t}\n\n\t\tprivate void innerflush()\n\t\t{\n\t\t\ttry {\n\t\t\t\tout.write(buf, 0, ptr);\n\t\t\t\tptr = 0;\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new RuntimeException(\"innerflush\");\n\t\t\t}\n\t\t}\n\n\t\tpublic void flush()\n\t\t{\n\t\t\tinnerflush();\n\t\t\ttry {\n\t\t\t\tout.flush();\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new RuntimeException(\"flush\");\n\t\t\t}\n\t\t}\n\n\t\tpublic FastWriter print(byte b) { return write(b); }\n\t\tpublic FastWriter print(char c) { return write(c); }\n\t\tpublic FastWriter print(char[] s) { return write(s); }\n\t\tpublic FastWriter print(String s) { return write(s); }\n\t\tpublic FastWriter print(int x) { return write(x); }\n\t\tpublic FastWriter print(long x) { return write(x); }\n\t\tpublic FastWriter print(double x, int precision) { return write(x, precision); }\n\t\tpublic FastWriter println(char c){ return writeln(c); }\n\t\tpublic FastWriter println(int x){ return writeln(x); }\n\t\tpublic FastWriter println(long x){ return writeln(x); }\n\t\tpublic FastWriter println(double x, int precision){ return writeln(x, precision); }\n\t\tpublic FastWriter print(int... xs) { return write(xs); }\n\t\tpublic FastWriter print(long... xs) { return write(xs); }\n\t\tpublic FastWriter println(int... xs) { return writeln(xs); }\n\t\tpublic FastWriter println(long... xs) { return writeln(xs); }\n\t\tpublic FastWriter println(char[] line) { return writeln(line); }\n\t\tpublic FastWriter println(char[]... map) { return writeln(map); }\n\t\tpublic FastWriter println(String s) { return writeln(s); }\n\t\tpublic FastWriter println() { return writeln(); }\n\t}\n\n\tpublic void trnz(int... o)\n\t{\n\t\tfor(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+\":\"+o[i]+\" \");\n\t\tSystem.out.println();\n\t}\n\n\t// print ids which are 1\n\tpublic void trt(long... o)\n\t{\n\t\tQueue<Integer> stands = new ArrayDeque<>();\n\t\tfor(int i = 0;i < o.length;i++){\n\t\t\tfor(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));\n\t\t}\n\t\tSystem.out.println(stands);\n\t}\n\n\tpublic void tf(boolean... r)\n\t{\n\t\tfor(boolean x : r)System.out.print(x?'#':'.');\n\t\tSystem.out.println();\n\t}\n\n\tpublic void tf(boolean[]... b)\n\t{\n\t\tfor(boolean[] r : b) {\n\t\t\tfor(boolean x : r)System.out.print(x?'#':'.');\n\t\t\tSystem.out.println();\n\t\t}\n\t\tSystem.out.println();\n\t}\n\n\tpublic void tf(long[]... b)\n\t{\n\t\tif(INPUT.length() != 0) {\n\t\t\tfor (long[] r : b) {\n\t\t\t\tfor (long x : r) {\n\t\t\t\t\tfor (int i = 0; i < 64; i++) {\n\t\t\t\t\t\tSystem.out.print(x << ~i < 0 ? '#' : '.');\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tSystem.out.println();\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t}\n\n\tpublic void tf(long... b)\n\t{\n\t\tif(INPUT.length() != 0) {\n\t\t\tfor (long x : b) {\n\t\t\t\tfor (int i = 0; i < 64; i++) {\n\t\t\t\t\tSystem.out.print(x << ~i < 0 ? '#' : '.');\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t}\n\n\tprivate boolean oj = System.getProperty(\"ONLINE_JUDGE\") != null;\n\tprivate void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }\n}\n",
"python": null
}
|
|
|
# Min Cost String
Let's define the cost of a string s as the number of index pairs i and j (1 ≤ i < j < |s|) such that s_i = s_j and s_{i+1} = s_{j+1}.
You are given two positive integers n and k. Among all strings with length n that contain only the first k characters of the Latin alphabet, find a string with minimum possible cost. If there are multiple such strings with minimum cost — find any of them.
Input
The only line contains two integers n and k (1 ≤ n ≤ 2 ⋅ 10^5; 1 ≤ k ≤ 26).
Output
Print the string s such that it consists of n characters, each its character is one of the k first Latin letters, and it has the minimum possible cost among all these strings. If there are multiple such strings — print any of them.
Examples
Input
9 4
Output
aabacadbb
Input
5 1
Output
aaaaa
Input
10 26
Output
codeforces
|
[
{
"input": {
"stdin": "9 4\n"
},
"output": {
"stdout": "\naabacadbb\n"
}
},
{
"input": {
"stdin": "5 1\n"
},
"output": {
"stdout": "\naaaaa"
}
},
{
"input": {
"stdin": "10 26\n"
},
"output": {
"stdout": "\ncodeforces\n"
}
},
{
"input": {
"stdin": "200000 26\n"
},
"output": {
"stdout": "aazzyyzxyxxzwywxwwzvyvxvwvvzuyuxuwuvuuztytxtwtvtuttzsysxswsvsustsszryrxrwrvrurtrsrrzqyqxqwqvquqtqsqrqqzpypxpwpvpuptpsprpqppzoyoxowovouotosoroqopooznynxnwnvnuntnsnrnqnpnonnzmymxmwmvmumtmsmrmqmpmomnmmzlylxlwlvlultlslrlqlplolnlmllzkykxkwkvkuktkskrkqkpkoknkmklkkzjyjxjwjvjujtjsjrjqjpjojnjmjljkjjziyixiwiviuitisiriqipioinimilikijiizhyhxhwhvhuhthshrhqhphohnhmhlhkhjhihhzgygxgwgvgugtgsgrgqgpgogngmglgkgjgighggzfyfxfwfvfuftfsfrfqfpfofnfmflfkfjfifhfgffzeyexeweveuetesereqepeoenemelekejeiehegefeezdydxdwdvdudtdsdrdqdpdodn..."
}
},
{
"input": {
"stdin": "9 3\n"
},
"output": {
"stdout": "aaccbbcab"
}
},
{
"input": {
"stdin": "26 5\n"
},
"output": {
"stdout": "aaeeddecdccebdbcbbeadacaba"
}
},
{
"input": {
"stdin": "200 20\n"
},
"output": {
"stdout": "aattsstrsrrtqsqrqqtpsprpqpptosoroqopootnsnrnqnpnonntmsmrmqmpmomnmmtlslrlqlplolnlmlltkskrkqkpkoknkmklkktjsjrjqjpjojnjmjljkjjtisiriqipioinimilikijiithshrhqhphohnhmhlhkhjhihhtgsgrgqgpgogngmglgkgjgighggtf"
}
},
{
"input": {
"stdin": "200000 5\n"
},
"output": {
"stdout": "aaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdccebdbcbbeadacabaaeeddecdcc..."
}
},
{
"input": {
"stdin": "200 15\n"
},
"output": {
"stdout": "aaoonnomnmmolnlmlloknkmklkkojnjmjljkjjoinimilikijiiohnhmhlhkhjhihhogngmglgkgjgighggofnfmflfkfjfifhfgffoenemelekejeiehegefeeodndmdldkdjdidhdgdfdeddocncmclckcjcichcgcfcecdccobnbmblbkbjbibhbgbfbebdbcbboa"
}
},
{
"input": {
"stdin": "200000 11\n"
},
"output": {
"stdout": "aakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighgg..."
}
},
{
"input": {
"stdin": "200 26\n"
},
"output": {
"stdout": "aazzyyzxyxxzwywxwwzvyvxvwvvzuyuxuwuvuuztytxtwtvtuttzsysxswsvsustsszryrxrwrvrurtrsrrzqyqxqwqvquqtqsqrqqzpypxpwpvpuptpsprpqppzoyoxowovouotosoroqopooznynxnwnvnuntnsnrnqnpnonnzmymxmwmvmumtmsmrmqmpmomnmmzl"
}
},
{
"input": {
"stdin": "200000 10\n"
},
"output": {
"stdout": "aajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihh..."
}
},
{
"input": {
"stdin": "27 5\n"
},
"output": {
"stdout": "aaeeddecdccebdbcbbeadacabaa"
}
},
{
"input": {
"stdin": "200 18\n"
},
"output": {
"stdout": "aarrqqrpqpproqopoornqnpnonnrmqmpmomnmmrlqlplolnlmllrkqkpkoknkmklkkrjqjpjojnjmjljkjjriqipioinimilikijiirhqhphohnhmhlhkhjhihhrgqgpgogngmglgkgjgighggrfqfpfofnfmflfkfjfifhfgffreqepeoenemelekejeiehegefeerd"
}
},
{
"input": {
"stdin": "1337 11\n"
},
"output": {
"stdout": "aakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighggkfjfifhfgffkejeiehegefeekdjdidhdgdfdeddkcjcichcgcfcecdcckbjbibhbgbfbebdbcbbkajaiahagafaeadacabaakkjjkijiikhjhihhkgjgighgg..."
}
},
{
"input": {
"stdin": "200 10\n"
},
"output": {
"stdout": "aajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacabaajjiijhihhjgighggjfifhfgffjeiehegefeejdidhdgdfdeddjcichcgcfcecdccjbibhbgbfbebdbcbbjaiahagafaeadacab"
}
},
{
"input": {
"stdin": "32 2\n"
},
"output": {
"stdout": "aabbaabbaabbaabbaabbaabbaabbaabb"
}
},
{
"input": {
"stdin": "200 22\n"
},
"output": {
"stdout": "aavvuuvtuttvsustssvrurtrsrrvquqtqsqrqqvpuptpsprpqppvouotosoroqopoovnuntnsnrnqnpnonnvmumtmsmrmqmpmomnmmvlultlslrlqlplolnlmllvkuktkskrkqkpkoknkmklkkvjujtjsjrjqjpjojnjmjljkjjviuitisiriqipioinimilikijiivh"
}
},
{
"input": {
"stdin": "1 1\n"
},
"output": {
"stdout": "a"
}
},
{
"input": {
"stdin": "200000 1\n"
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}
},
{
"input": {
"stdin": "12611 25\n"
},
"output": {
"stdout": 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}
},
{
"input": {
"stdin": "1337 10\n"
},
"output": {
"stdout": "aabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjccdcecfcgchcicjddedfdgdhdidjeefegeheiejffgfhfifjgghgigjhhihjiijjaabacadaeafagahaiajbbcbdbebfbgbhbibjc\n"
}
},
{
"input": {
"stdin": "0011 3\n"
},
"output": {
"stdout": "aabacbbccaa\n"
}
},
{
"input": {
"stdin": "641 26\n"
},
"output": {
"stdout": "aabacadaeafagahaiajakalamanaoapaqarasatauavawaxayazbbcbdbebfbgbhbibjbkblbmbnbobpbqbrbsbtbubvbwbxbybzccdcecfcgchcicjckclcmcncocpcqcrcsctcucvcwcxcyczddedfdgdhdidjdkdldmdndodpdqdrdsdtdudvdwdxdydzeefegeheiejekelemeneoepeqereseteuevewexeyezffgfhfifjfkflfmfnfofpfqfrfsftfufvfwfxfyfzgghgigjgkglgmgngogpgqgrgsgtgugvgwgxgygzhhihjhkhlhmhnhohphqhrhshthuhvhwhxhyhziijikiliminioipiqirisitiuiviwixiyizjjkjljmjnjojpjqjrjsjtjujvjwjxjyjzkklkmknkokpkqkrksktkukvkwkxkykzllmlnlolplqlrlsltlulvlwlxlylzmmnmompmqmrmsmtmumvmwmxmymznnonpnqnrnsntnunvnwnxnynzoopoqorosotouovowoxoyozppqprpsptpupvpwpxpypzqqrqsqtquqvqwqxqyqzrrsrtrurvrwrxryrzsstsusvswsxsyszttutvtwtxtytzu\n"
}
},
{
"input": {
"stdin": "200000 6\n"
},
"output": {
"stdout": 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f\n"
}
}
] |
{
"tags": [
"brute force",
"constructive algorithms",
"graphs",
"greedy",
"strings"
],
"title": "Min Cost String"
}
|
{
"cpp": "#include<bits/stdc++.h>\n#define ll long long int\n#define f first\n#define s second\n#define pb(x) push_back(x)\n#define inf (int)1e9\n#define PI 3.1415926535897932384626433832795\n#define MOD 1000000007\n\nusing namespace std;\n\nvoid input() {\n\n\tll n,k;\n\tcin>>n>>k;\n\n\tstring s1,s;\n\n\tfor(int i=0;i<k;i++) {\n\n\t\tfor(int j=i;j<k-1;j++) {\n\t\t\ts1 += 'a'+j;\n\t\t\ts1 += 'a'+i;\n\t\t}\n\n\t\ts1 += 'a'+k-1;\n\t}\n\n\t// cout<<s1<<\"\\n\";\n\n\tll p = n/(k*k) + 1;\n\n\tfor(int i=0;i<p;i++) {\n\t\ts += s1;\n\t}\n\n\tfor(int i=0;i<n;i++) {\n\t\tcout<<s[i];\n\t}\n\tcout<<\"\\n\";\n \n}\n\nint main(){\n\n #ifndef ONLINE_JUDGE\n freopen(\"input.txt\", \"r\", stdin);\n freopen(\"output.txt\", \"w\", stdout);\n #endif\n\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n\n input();\n\n return 0;\n}\n",
"java": "// Main Code at the Bottom\nimport java.util.*;\nimport java.util.regex.Matcher;\nimport java.util.regex.Pattern;\nimport java.io.*; \npublic class Main{\n\t//Fast IO class\n static class FastReader {\n BufferedReader br; \n StringTokenizer st; \n public FastReader() {\n \tboolean env=System.getProperty(\"ONLINE_JUDGE\") != null;\n \tif(!env) {\n \t\ttry {\n\t\t\t\t\tbr=new BufferedReader(new FileReader(\"input.txt\"));\n\t\t\t\t} catch (FileNotFoundException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n \t}\n \telse br = new BufferedReader(new InputStreamReader(System.in)); \n } \n String next() {\n while (st == null || !st.hasMoreElements()) {\n try {\n st = new StringTokenizer(br.readLine()); \n } \n catch (IOException e) {\n e.printStackTrace(); \n } \n } \n return st.nextToken(); \n } \n int nextInt() {\n return Integer.parseInt(next()); \n } \n long nextLong() {\n return Long.parseLong(next()); \n } \n double nextDouble() {\n return Double.parseDouble(next()); \n } \n String nextLine() {\n String str = \"\"; \n try {\n str = br.readLine(); \n } \n catch (IOException e) {\n e.printStackTrace(); \n } \n return str; \n } \n } \n static long MOD=(long)1e9+7;\n //debug\n static void debug(Object... o) {\n System.out.println(Arrays.deepToString(o));\n }\n static FastReader sc=new FastReader();\n static PrintWriter out=new PrintWriter(System.out); \n //Global variables and functions\n static int find(String s) {\n \tint ans=0;\n \tfor(int i=0;i<s.length()-1;i++) {\n \t\tfor(int j=i+1;j<s.length()-1;j++) {\n \t\t\tif(s.charAt(i)==s.charAt(j) && s.charAt(i+1)==s.charAt(j+1)) ans++;\n \t\t}\n \t}\n \treturn ans;\n }\n //Main function(The main code starts from here)\n public static void main (String[] args) throws java.lang.Exception {\n \tint test=1;\n \t//test=sc.nextInt();\n \twhile(test-->0) {\n \t\tint n=sc.nextInt(),k=sc.nextInt();\n \t\tStringBuilder sb=new StringBuilder();\n \t\tsb.append(\"a\");\n \t\tfor(char i='a';i<(char)(k+'a'-1);i++) {\n \t\t\tfor(char j=(char)(k+'a'-1);j>(i+1);j--) {\n \t\t\t\tsb.append(j);\n \t\t\t\tsb.append(i);\n \t\t\t}\n \t\t\tsb.append((char)(i+1));\n \t\t\tsb.append((char)(i+1));\n \t\t}\n \t\tfor(char i=(char)(k+'a'-2);i>='a';i--) sb.append(i);\n \t\tfor(int i=0;i<n;i++) out.print(sb.charAt(i%(k*k)));\n \t\t\n \t}\n out.flush();\n out.close();\n }\n}",
"python": "n,k=map(int,input().split())\nans=\"\"\nfor i in range(k):\n ans=ans+chr(i+97)\n for j in range(i+1,k):\n ans=ans+chr(i+97)+chr(j+97)\nn1=len(ans)\nn2=n//n1\nn3=n%n1\nfin=ans*n2\nfin=fin+ans[:n3]\nprint(fin)"
}
|
|
|
# Love Song
Petya once wrote a sad love song and shared it to Vasya. The song is a string consisting of lowercase English letters. Vasya made up q questions about this song. Each question is about a subsegment of the song starting from the l-th letter to the r-th letter. Vasya considers a substring made up from characters on this segment and repeats each letter in the subsegment k times, where k is the index of the corresponding letter in the alphabet. For example, if the question is about the substring "abbcb", then Vasya repeats letter 'a' once, each of the letters 'b' twice, letter 'c" three times, so that the resulting string is "abbbbcccbb", its length is 10. Vasya is interested about the length of the resulting string.
Help Petya find the length of each string obtained by Vasya.
Input
The first line contains two integers n and q (1≤ n≤ 100 000, 1≤ q ≤ 100 000) — the length of the song and the number of questions.
The second line contains one string s — the song, consisting of n lowercase letters of English letters.
Vasya's questions are contained in the next q lines. Each line contains two integers l and r (1 ≤ l ≤ r ≤ n) — the bounds of the question.
Output
Print q lines: for each question print the length of the string obtained by Vasya.
Examples
Input
7 3
abacaba
1 3
2 5
1 7
Output
4
7
11
Input
7 4
abbabaa
1 3
5 7
6 6
2 4
Output
5
4
1
5
Input
13 7
sonoshikumiwo
1 5
2 10
7 7
1 13
4 8
2 5
3 9
Output
82
125
9
191
62
63
97
Note
In the first example Vasya is interested in three questions. In the first question Vasya considers the substring "aba", that transforms to "abba", so the answer is equal to 4. In the second question Vasya considers "baca", that transforms to "bbaccca", so the answer is 7. In the third question Vasya considers the string "abacaba",that transforms to "abbacccabba" of length 11.
|
[
{
"input": {
"stdin": "7 3\nabacaba\n1 3\n2 5\n1 7\n"
},
"output": {
"stdout": "4\n7\n11\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n1 5\n2 10\n7 7\n1 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "82\n125\n9\n191\n62\n63\n97\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n1 3\n5 7\n6 6\n2 4\n"
},
"output": {
"stdout": "5\n4\n1\n5\n"
}
},
{
"input": {
"stdin": "2 8\nab\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n"
},
"output": {
"stdout": "3\n3\n3\n3\n3\n3\n3\n3\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n2 5\n2 10\n7 7\n1 13\n4 8\n2 5\n2 11\n"
},
"output": {
"stdout": "63\n125\n9\n191\n62\n63\n134\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n1 3\n3 7\n6 6\n3 4\n"
},
"output": {
"stdout": "5\n7\n1\n3\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 5\n2 10\n7 7\n1 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "74\n125\n9\n191\n62\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 5\n2 10\n7 7\n1 8\n4 4\n2 5\n3 9\n"
},
"output": {
"stdout": "74\n125\n9\n110\n15\n55\n97\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 3\n4 7\n2 7\n"
},
"output": {
"stdout": "3\n7\n10\n"
}
},
{
"input": {
"stdin": "7 2\nabacaba\n3 6\n1 6\n5 3\n"
},
"output": {
"stdout": "7\n10\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 3\n4 5\n2 7\n"
},
"output": {
"stdout": "3\n4\n10\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 3\n5 5\n2 7\n"
},
"output": {
"stdout": "3\n1\n10\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n2 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n172\n62\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n1 5\n3 10\n7 7\n1 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "82\n110\n9\n191\n62\n63\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 5\n2 10\n7 7\n1 13\n1 8\n1 9\n3 6\n"
},
"output": {
"stdout": "74\n125\n9\n191\n110\n131\n48\n"
}
},
{
"input": {
"stdin": "7 2\nabacaba\n2 6\n3 6\n2 7\n"
},
"output": {
"stdout": "9\n7\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n2 13\n2 8\n2 5\n6 9\n"
},
"output": {
"stdout": "91\n125\n9\n172\n91\n55\n57\n"
}
},
{
"input": {
"stdin": "7 3\nabacbaa\n2 3\n5 5\n2 7\n"
},
"output": {
"stdout": "3\n2\n10\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n3 6\n2 5\n1 7\n"
},
"output": {
"stdout": "7\n7\n11\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisuwimo\n1 7\n2 13\n7 7\n2 13\n2 8\n4 5\n5 9\n"
},
"output": {
"stdout": "91\n172\n9\n172\n91\n26\n68\n"
}
},
{
"input": {
"stdin": "13 7\nsnnokhisumiwo\n1 5\n1 10\n4 7\n1 13\n2 8\n4 5\n3 6\n"
},
"output": {
"stdout": "73\n143\n43\n190\n90\n26\n48\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 3\n2 5\n1 7\n"
},
"output": {
"stdout": "3\n7\n11\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n2 2\n2 10\n7 7\n1 13\n4 8\n4 5\n3 9\n"
},
"output": {
"stdout": "15\n125\n9\n191\n62\n26\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsnnokhisumiwo\n1 5\n1 10\n4 7\n1 13\n2 8\n5 5\n3 6\n"
},
"output": {
"stdout": "73\n143\n43\n190\n90\n11\n48\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n1 3\n5 7\n4 5\n3 6\n"
},
"output": {
"stdout": "5\n4\n3\n6\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n1 5\n2 10\n7 7\n1 13\n4 8\n2 5\n2 9\n"
},
"output": {
"stdout": "82\n125\n9\n191\n62\n63\n112\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisuliwo\n1 2\n2 10\n7 7\n2 13\n4 9\n2 5\n3 9\n"
},
"output": {
"stdout": "34\n124\n9\n171\n83\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 2\n2 10\n7 7\n1 13\n4 9\n2 5\n3 9\n"
},
"output": {
"stdout": "34\n125\n9\n191\n83\n55\n97\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n2 3\n5 7\n4 6\n3 6\n"
},
"output": {
"stdout": "4\n4\n4\n6\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n1 3\n1 5\n1 7\n"
},
"output": {
"stdout": "4\n8\n11\n"
}
},
{
"input": {
"stdin": "13 7\nowimusihkooos\n1 7\n2 10\n7 7\n2 13\n2 8\n2 4\n6 9\n"
},
"output": {
"stdout": "109\n128\n9\n177\n102\n45\n47\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 6\n2 6\n1 7\n"
},
"output": {
"stdout": "9\n9\n11\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n2 13\n2 8\n2 5\n6 11\n"
},
"output": {
"stdout": "91\n125\n9\n172\n91\n55\n79\n"
}
},
{
"input": {
"stdin": "13 4\nsonokhisumiwo\n1 7\n2 10\n7 7\n1 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n191\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n1 13\n4 8\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n191\n62\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 5\n1 10\n7 7\n1 13\n2 8\n4 5\n3 6\n"
},
"output": {
"stdout": "74\n144\n9\n191\n91\n26\n48\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n1 3\n5 7\n6 6\n3 4\n"
},
"output": {
"stdout": "5\n4\n1\n3\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n1 13\n1 8\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n191\n110\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nowimusihkooos\n1 7\n2 10\n7 7\n2 13\n2 8\n2 5\n6 9\n"
},
"output": {
"stdout": "109\n128\n9\n177\n102\n66\n47\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n1 5\n2 10\n7 7\n1 13\n4 8\n2 5\n1 1\n"
},
"output": {
"stdout": "82\n125\n9\n191\n62\n63\n19\n"
}
},
{
"input": {
"stdin": "13 7\nowimusihkonos\n1 7\n2 10\n7 7\n2 13\n2 8\n2 5\n6 9\n"
},
"output": {
"stdout": "109\n128\n9\n176\n102\n66\n47\n"
}
},
{
"input": {
"stdin": "7 1\nabacaba\n2 3\n4 5\n2 7\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 3\nabacaba\n2 3\n4 5\n1 1\n"
},
"output": {
"stdout": "3\n4\n1\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n2 5\n2 10\n7 7\n1 13\n4 8\n4 5\n3 9\n"
},
"output": {
"stdout": "55\n125\n9\n191\n62\n26\n97\n"
}
},
{
"input": {
"stdin": "7 4\nabbabaa\n1 3\n5 7\n4 6\n3 4\n"
},
"output": {
"stdout": "5\n4\n4\n3\n"
}
},
{
"input": {
"stdin": "13 4\nsonokhisumiwo\n1 7\n2 11\n7 7\n3 13\n4 1\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n134\n9\n157\n"
}
},
{
"input": {
"stdin": "13 4\nsonokhisumiwo\n1 7\n2 10\n7 7\n2 13\n4 1\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n172\n"
}
},
{
"input": {
"stdin": "7 1\naaacaba\n3 3\n1 3\n4 6\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "13 7\nsonokhisumiwo\n1 7\n2 10\n7 7\n2 13\n2 8\n2 5\n3 9\n"
},
"output": {
"stdout": "91\n125\n9\n172\n91\n55\n97\n"
}
},
{
"input": {
"stdin": "13 7\nsonoshikumiwo\n1 5\n2 10\n7 7\n1 13\n3 12\n2 5\n3 9\n"
},
"output": {
"stdout": "82\n125\n9\n191\n142\n63\n97\n"
}
}
] |
{
"tags": [
"dp",
"implementation",
"strings"
],
"title": "Love Song"
}
|
{
"cpp": "#include<cstdio>\n#include<cstring>\n#include<iostream>\n#include<algorithm>\n#include<vector>\n#include<queue>\n#include<set>\n#include<map>\n#include<string>\n#include<cstdlib>\n#include<ctime>\n#define rep(i,a,n) for(int i=(int)(a);i<(int)(n);++i)\n#define repb(i,a,n) for(int i=(int)(a);i<=(int)(n);++i)\n#define ll long long\n#define inf 0x3f3f3f3f\nusing namespace std;\ntemplate<class TT>\ninline void read(TT& n)\n{\n TT X=0,w=1;char ch = -1;\n while(ch<'0' ||ch>'9'){if(ch=='-')w=-1;ch=getchar();}\n while(ch>='0' &&ch<='9'){X = (X<<3)+(X<<1)+ch-'0';ch=getchar();}\n n = X*w;\n}\ntemplate<class TT>\ninline void read(TT &a,TT &b){read(a),read(b);}\ntemplate<class TT>\ninline void read(TT &a,TT &b,TT &c){read(a),read(b),read(c);}\nchar s[10000010];\nint dp[1000010];\nvoid solve()\n{\n int a,b;read(a,b);\n cin>>s;\n int d = strlen(s);\n for(int i=1;i<=d;++i)\n {\n dp[i] = s[i-1]-'a'+1;\n if(i)dp[i]+=dp[i-1];\n }\n while(b--)\n {\n int l,r;cin>>l>>r;\n cout<<dp[r]-dp[l-1]<<endl;\n }\n}\nint main()\n{\n //freopen(\"in.txt\",\"r\",stdin);\n //freopen(\"out.txt\",\"w\",stdout);\n solve();\n return 0;\n}\n",
"java": "import java.util.*;\npublic class lovesong\n{\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(System.in);\n\t int n =sc.nextInt();\n int q = sc.nextInt();\n\t sc.nextLine();\n\t\tString song = sc.nextLine();\n\t\t\n\t\tint arr[] = new int[n+1];\n\t\tarr[0] = 0;\n\t\t\n\t\t\n\t\tfor(int i = 1;i<=n;i++)\n\t\t{\n\t\t arr[i] = song.charAt(i-1) - 96 + arr[i-1];\n\t\t}\n\t\t\n\t\tfor(int i = 0;i<q;i++)\n\t\t{\n\t\t int s = sc.nextInt();\n\t\t int e = sc.nextInt();\n\t\t \n\t\t int sum = arr[e] - arr[s-1];\n\t\t System.out.println(sum);\n\t\t}\n\t}\n}\n",
"python": "# import itertools\nimport bisect\n# import heapq\nimport math\nfrom collections import defaultdict, Counter\nimport os\nimport sys\nfrom io import BytesIO, IOBase\n\n# sys.setrecursionlimit(10 ** 5)\nii = lambda: int(input())\nlmii = lambda: list(map(int, input().split()))\nslmii = lambda: sorted(map(int, input().split()))\nli = lambda: list(input())\nmii = lambda: map(int, input().split())\nmsi = lambda: map(str, input().split())\n\n\ndef gcd(a, b):\n if b == 0: return a\n return gcd(b, a % b)\n\n\ndef lcm(a, b): return (a * b) // gcd(a, b)\n\n\ndef main():\n # for _ in \" \" * int(input()):\n n, q = mii()\n s = li()\n cnt = [0]\n for i in range(n):\n cnt.append(cnt[-1] + ord(s[i]) - ord(\"a\") + 1)\n for i in range(q):\n l, r = mii()\n print(cnt[r] - cnt[l-1])\n\n\nBUFSIZE = 8192\n\n\nclass FastIO(IOBase):\n newlines = 0\n\n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n\n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n\n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n\n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\n\n\nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\n\n\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\n\nif __name__ == \"__main__\":\n main()\n"
}
|
|
|
# Beard Graph
Let's define a non-oriented connected graph of n vertices and n - 1 edges as a beard, if all of its vertices except, perhaps, one, have the degree of 2 or 1 (that is, there exists no more than one vertex, whose degree is more than two). Let us remind you that the degree of a vertex is the number of edges that connect to it.
Let each edge be either black or white. Initially all edges are black.
You are given the description of the beard graph. Your task is to analyze requests of the following types:
* paint the edge number i black. The edge number i is the edge that has this number in the description. It is guaranteed that by the moment of this request the i-th edge is white
* paint the edge number i white. It is guaranteed that by the moment of this request the i-th edge is black
* find the length of the shortest path going only along the black edges between vertices a and b or indicate that no such path exists between them (a path's length is the number of edges in it)
The vertices are numbered with integers from 1 to n, and the edges are numbered with integers from 1 to n - 1.
Input
The first line of the input contains an integer n (2 ≤ n ≤ 105) — the number of vertices in the graph. Next n - 1 lines contain edges described as the numbers of vertices vi, ui (1 ≤ vi, ui ≤ n, vi ≠ ui) connected by this edge. It is guaranteed that the given graph is connected and forms a beard graph, and has no self-loops or multiple edges.
The next line contains an integer m (1 ≤ m ≤ 3·105) — the number of requests. Next m lines contain requests in the following form: first a line contains an integer type, which takes values from 1 to 3, and represents the request type.
If type = 1, then the current request is a request to paint the edge black. In this case, in addition to number type the line should contain integer id (1 ≤ id ≤ n - 1), which represents the number of the edge to paint.
If type = 2, then the current request is a request to paint the edge white, its form is similar to the previous request.
If type = 3, then the current request is a request to find the distance. In this case, in addition to type, the line should contain two integers a, b (1 ≤ a, b ≤ n, a can be equal to b) — the numbers of vertices, the distance between which must be found.
The numbers in all lines are separated by exactly one space. The edges are numbered in the order in which they are given in the input.
Output
For each request to "find the distance between vertices a and b" print the result. If there is no path going only along the black edges between vertices a and b, then print "-1" (without the quotes). Print the results in the order of receiving the requests, separate the numbers with spaces or line breaks.
Examples
Input
3
1 2
2 3
7
3 1 2
3 1 3
3 2 3
2 2
3 1 2
3 1 3
3 2 3
Output
1
2
1
1
-1
-1
Input
6
1 5
6 4
2 3
3 5
5 6
6
3 3 4
2 5
3 2 6
3 1 2
2 3
3 3 1
Output
3
-1
3
2
Note
In the first sample vertices 1 and 2 are connected with edge number 1, and vertices 2 and 3 are connected with edge number 2. Before the repainting edge number 2 each vertex is reachable from each one along the black edges. Specifically, the shortest path between 1 and 3 goes along both edges.
If we paint edge number 2 white, vertex 3 will end up cut off from other vertices, that is, no path exists from it to any other vertex along the black edges.
|
[
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 1 2\n2 3\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n3\n2\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 2 3\n2 2\n3 1 2\n3 1 3\n3 2 3\n"
},
"output": {
"stdout": "1\n2\n1\n1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "3\n2 3\n1 3\n4\n3 3 1\n3 2 2\n3 1 3\n2 2\n"
},
"output": {
"stdout": "1\n0\n1\n"
}
},
{
"input": {
"stdin": "10\n8 9\n4 1\n3 4\n2 6\n7 6\n1 5\n9 3\n10 2\n5 6\n3\n3 5 6\n3 5 6\n3 9 10\n"
},
"output": {
"stdout": "1\n1\n7\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 4\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 4 4\n3 3 1\n3 2 3\n3 4 3\n2 1\n"
},
"output": {
"stdout": "2\n0\n0\n0\n0\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 5\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 4 1\n3 3 1\n3 2 3\n3 4 3\n2 1\n"
},
"output": {
"stdout": "4\n0\n0\n0\n-1\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "10\n8 9\n4 1\n3 4\n2 6\n7 6\n1 5\n9 3\n10 2\n5 6\n3\n3 5 3\n3 5 6\n3 9 10\n"
},
"output": {
"stdout": "3\n1\n7\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 2 2\n2 2\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n0\n2\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 4\n3 2 2\n2 3\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 2 3\n2 2\n3 1 1\n3 1 3\n3 2 3\n"
},
"output": {
"stdout": "1\n2\n1\n0\n-1\n-1\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 1 3\n2 2\n3 1 2\n3 1 3\n3 2 3\n"
},
"output": {
"stdout": "1\n2\n2\n1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 1 4\n3 3 1\n3 2 5\n3 4 3\n2 1\n"
},
"output": {
"stdout": "4\n0\n0\n0\n-1\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 5\n3 7\n4 7\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 2 3\n2 2\n3 1 3\n3 1 3\n3 1 3\n"
},
"output": {
"stdout": "1\n2\n1\n-1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 4 3\n2 3\n3 1 1\n3 4 1\n3 3 1\n3 2 3\n3 4 4\n2 1\n"
},
"output": {
"stdout": "4\n0\n1\n0\n-1\n-1\n-1\n0\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 4\n3 1 2\n2 2\n3 3 1\n"
},
"output": {
"stdout": "4\n-1\n2\n1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 4\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "4\n-1\n2\n-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 2\n3 7\n4 7\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 2\n2 5\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "1\n-1\n3\n-1\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 4 4\n3 3 1\n3 2 3\n3 4 3\n2 1\n"
},
"output": {
"stdout": "4\n0\n0\n0\n0\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 4\n3 1 2\n2 2\n3 4 2\n"
},
"output": {
"stdout": "4\n-1\n2\n-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 3\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 7\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 3\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 4 2\n2 2\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n-1\n2\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "3\n-1\n3\n-1\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 4 1\n3 3 1\n3 2 3\n3 4 4\n2 1\n"
},
"output": {
"stdout": "4\n0\n0\n0\n-1\n-1\n-1\n0\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 5\n3 3 3\n2 3\n3 1 1\n3 1 4\n3 3 1\n3 2 3\n3 4 3\n2 1\n"
},
"output": {
"stdout": "4\n0\n0\n0\n-1\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 4\n3 1 2\n2 2\n3 3 2\n"
},
"output": {
"stdout": "4\n-1\n2\n1\n"
}
},
{
"input": {
"stdin": "10\n8 9\n4 1\n3 4\n2 6\n7 6\n1 5\n9 3\n10 2\n5 6\n3\n3 5 6\n3 5 6\n3 9 6\n"
},
"output": {
"stdout": "1\n1\n5\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 7\n3 7\n4 3\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 5\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n3 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 3\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "1\n-1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 7\n3 7\n4 6\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 2 2\n2 3\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n0\n2\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "4\n-1\n2\n-1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 1 2\n2 2\n3 3 1\n"
},
"output": {
"stdout": "3\n-1\n3\n2\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 3\n2 5\n3 2 4\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "0\n-1\n2\n-1\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 2 3\n2 2\n3 1 1\n3 1 3\n3 1 3\n"
},
"output": {
"stdout": "1\n2\n1\n0\n-1\n-1\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n7\n3 1 2\n3 1 3\n3 2 3\n2 2\n3 1 2\n3 1 3\n3 1 3\n"
},
"output": {
"stdout": "1\n2\n1\n1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 7\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 6\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 2\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "5\n3 4\n1 2\n2 5\n5 3\n10\n3 4 1\n3 5 3\n3 3 3\n2 3\n3 1 1\n3 4 1\n3 3 1\n3 2 3\n3 4 3\n2 1\n"
},
"output": {
"stdout": "4\n1\n0\n0\n-1\n-1\n-1\n1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 5\n5 6\n6\n3 3 1\n2 5\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "2\n-1\n3\n-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 4\n6 3\n3 7\n4 7\n8 7\n10\n2 9\n3 3 10\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 6\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "10\n10 8\n9 1\n2 9\n1 7\n5 7\n6 7\n3 7\n4 7\n8 7\n10\n2 9\n3 3 3\n2 4\n2 5\n2 8\n1 8\n2 7\n2 1\n1 9\n2 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 3\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "4\n-1\n-1\n-1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n6 4\n2 3\n3 1\n5 6\n6\n3 3 4\n2 5\n3 2 6\n3 1 2\n2 2\n3 3 1\n"
},
"output": {
"stdout": "4\n-1\n2\n1\n"
}
},
{
"input": {
"stdin": "6\n1 5\n3 4\n2 3\n4 1\n5 6\n6\n3 3 4\n2 3\n3 2 6\n3 1 2\n2 2\n3 4 1\n"
},
"output": {
"stdout": "1\n-1\n-1\n1\n"
}
}
] |
{
"tags": [
"data structures",
"dsu",
"trees"
],
"title": "Beard Graph"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int MAXN = 1e5;\nconst int LOG = 17;\nvector<int> g[MAXN + 1];\nint pa[MAXN + 1][LOG + 1];\nint lev[MAXN + 1];\nint at[MAXN + 1];\nset<int> chain[MAXN + 1];\npair<int, int> edge[MAXN + 1];\nint rt, big = 0;\nint T = 0;\nvoid fast_io() {\n ios::sync_with_stdio(false);\n cin.tie(NULL);\n cout.tie(NULL);\n}\nvoid dfs(int u, int p) {\n lev[u] = 1 + lev[p];\n pa[u][0] = p;\n for (int i = 1; i <= LOG; i++) {\n pa[u][i] = pa[pa[u][i - 1]][i - 1];\n }\n for (auto v : g[u]) {\n if (v ^ p) dfs(v, u);\n }\n}\nvoid group(int u, int p) {\n at[u] = T;\n for (auto v : g[u]) {\n if (v ^ p) group(v, u);\n }\n}\nint LCA(int u, int v) {\n if (lev[v] > lev[u]) swap(u, v);\n for (int i = LOG; i >= 0; i--) {\n if (lev[u] - (1 << i) >= lev[v]) u = pa[u][i];\n }\n if (!(u ^ v)) return u;\n for (int i = LOG; i >= 0; i--) {\n if (pa[u][i] ^ pa[v][i]) {\n u = pa[u][i];\n v = pa[v][i];\n }\n }\n return pa[u][0];\n}\nbool ok(int v) {\n int pos = at[v];\n auto lo = chain[pos].begin();\n if (lo == chain[pos].end()) return 1;\n return (*lo > lev[v]);\n}\nbool ok(int v, int u) {\n int pos = at[v];\n auto hi = chain[pos].upper_bound(lev[u]);\n if (hi == chain[pos].end()) return 1;\n return (*hi > lev[v]);\n}\nint query(int u, int v) {\n if (lev[u] > lev[v]) swap(u, v);\n int lca = LCA(u, v);\n int dist = lev[u] + lev[v] - (lev[lca] << 1);\n int res = -1;\n if (at[u] ^ at[v]) {\n if (ok(u) and ok(v)) res = dist;\n } else if (ok(v, u))\n res = dist;\n return res;\n}\nint main() {\n fast_io();\n int n, u, v;\n int q, t, o, id;\n cin >> n;\n for (int i = 1; i < n; i++) {\n cin >> u >> v;\n g[u].push_back(v);\n g[v].push_back(u);\n edge[i] = make_pair(u, v);\n }\n for (int i = 1; i <= n; i++) {\n if (g[i].size() > big) {\n big = g[i].size();\n rt = i;\n }\n }\n dfs(rt, rt);\n at[rt] = ++T;\n for (auto v : g[rt]) {\n ++T;\n group(v, rt);\n }\n for (int i = 1; i < n; i++) {\n if (lev[edge[i].first] > lev[edge[i].second])\n swap(edge[i].first, edge[i].second);\n }\n cin >> q;\n while (q--) {\n cin >> t;\n if (!(t ^ 1) or !(t ^ 2)) {\n cin >> id;\n o = at[edge[id].second];\n if (!(t ^ 1))\n chain[o].erase(lev[edge[id].second]);\n else\n chain[o].insert(lev[edge[id].second]);\n } else {\n cin >> u >> v;\n cout << query(u, v) << '\\n';\n }\n }\n return 0;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.Comparator;\nimport java.util.LinkedList;\nimport java.util.StringTokenizer;\nimport java.util.TreeMap;\nimport java.util.TreeSet;\nimport java.util.Vector;\n\npublic class Solution {\n\t\n\tclass Edge {\n\t\tint b, e;\n\t\tint n;\n\t\tEdge next;\n\t\tEdge(int q, int w, int nn, Edge r) {\n\t\t\tb = q; e = w; n = nn; next = r;\n\t\t}\n\t}\n\t\n\tint[] stp;\n\tint[] rr;\n\tint[] vv;\n\tint[] vj;\n\tint[] rj;\n\tint[] dist;\n\tEdge[] v;\n\t\n\tvoid addedge(int b, int e, int n) {\n\t\tv[b] = new Edge(b, e, n, v[b]);\n\t\tv[e] = new Edge(e, b, n, v[e]);\n\t\tstp[b]++; stp[e]++;\n\t}\n\t\n\tvoid dfsdist(int q, int qq, int d) {\n\t\tdist[q] = d;\n\t\tfor (Edge r = v[q]; r != null; r = r.next) {\n\t\t\tif (r.e != qq) dfsdist(r.e, q, d + 1);\n\t\t}\n\t}\n\t\n\tclass Fenwick {\n\t\tint n;\n\t\tint[] a;\n\t\tint[] d;\n\t\tint C;\n\t\tFenwick() {\n\t\t\tn = 0;\n\t\t}\n\t\tvoid start() {\n\t\t\tC = 2;\n\t\t\twhile (C < n) C *= 2;\n\t\t\ta = new int[2 * C];\n\t\t\td = new int[2 * C];\n\t\t}\n\t\tvoid down(int v) {\n\t\t\tif (d[v] == 0) return;\n\t\t\tif (v >= C) {\n\t\t\t\ta[v] += d[v];\n\t\t\t} else {\n\t\t\t\td[v * 2] += d[v];\n\t\t\t\td[v * 2 + 1] += d[v];\n\t\t\t}\n\t\t\td[v] = 0;\n\t\t}\n\t\tvoid sum(int q, int s) {\n\t\t\tsum(1, q + 1, 1, 1, C, s);\n\t\t}\n\t\tvoid sum(int b, int e, int v, int bb, int ee, int s) {\n\t\t\tdown(v);\n\t\t\tif (b == bb && e == ee) d[v] += s; else {\n\t\t\t\tint m = (bb + ee) / 2;\n\t\t\t\tif (b <= m) sum(b, Math.min(m, e), v * 2, bb, m, s);\n\t\t\t\tif (e > m) sum(Math.max(m + 1, b), e, v * 2 + 1, m + 1, ee, s);\n\t\t\t}\n\t\t}\n\t\tint get(int q) {\n\t\t\treturn get(q + 1, 1, 1, C);\n\t\t}\n\t\tint get(int q, int v, int bb, int ee) {\n\t\t\tdown(v);\n\t\t\tif (v >= C) return a[v];\n\t\t\tint m = (bb + ee) / 2;\n\t\t\tif (q <= m) return get(q, v * 2, bb, m);\n\t\t\treturn get(q, v * 2 + 1, m, ee);\n\t\t}\n\t}\n\t\n\tvoid solve() throws Exception {\n\t\tint n = nextInt();\n\t\tv = new Edge[n];\n\t\trr = new int[n - 1];\n\t\trj = new int[n - 1];\n\t\tvv = new int[n];\n\t\tvj = new int[n];\n\t\tdist = new int[n];\n\t\tstp = new int[n];\n\t\tfor (int i = 0; i < n - 1; i++) {\n\t\t\taddedge(nextInt() - 1, nextInt() - 1, i);\n\t\t}\n\t\tint root = -1;\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tif (stp[i] > 2) root = i;\n\t\t\tif (root == -1 && stp[i] == 1) root = i;\n\t\t}\n\t\tdfsdist(root, -1, 0);\n\t\tFenwick[] ff = new Fenwick[n];\n\t\tint j = 0;\n\t\tfor (int i = 0; i < n; i++) if (i != root && stp[i] == 1) {\n\t\t\tff[j] = new Fenwick();\n\t\t\tint q = i, qq = -1;\n\t\t\twhile (q != root) {\n\t\t\t\tvv[q] = ff[j].n;\n\t\t\t\tvj[q] = j;\n\t\t\t\tEdge r = v[q];\n\t\t\t\tif (r.e == qq) r = r.next;\n\t\t\t\trr[r.n] = ff[j].n++;\n\t\t\t\trj[r.n] = j;\n\t\t\t\tqq = q;\n\t\t\t\tq = r.e;\n\t\t\t}\n\t\t\tj++;\n\t\t}\n\t\tfor (int i = 0; i < j; i++) ff[i].start();\n\t\tint m = nextInt();\n\t\tfor (int i = 0; i < m; i++) {\n\t\t\tint type = nextInt();\n\t\t\tint a = nextInt() - 1;\n\t\t\tswitch (type) {\n\t\t\tcase 1:\n\t\t\t\tff[rj[a]].sum(rr[a], -1);\n\t\t\t\tbreak;\n\t\t\tcase 2:\n\t\t\t\tff[rj[a]].sum(rr[a], 1);\n\t\t\t\tbreak;\n\t\t\tcase 3:\n\t\t\t\tint b = nextInt() - 1;\n\t\t\t\tif (a == b) out.println(0); else {\n\t\t\t\t\tif (a == root) {\n\t\t\t\t\t\tint t = a; a = b; b = t;\n\t\t\t\t\t}\n\t\t\t\t\tif (b == root) {\n\t\t\t\t\t\tif (ff[vj[a]].get(vv[a]) > 0) out.println(-1); else\tout.println(dist[a]);\n\t\t\t\t\t} else {\n\t\t\t\t\t\tif (vj[a] == vj[b]) {\n\t\t\t\t\t\t\tif (ff[vj[a]].get(vv[a]) != ff[vj[b]].get(vv[b])) \n\t\t\t\t\t\t\t\tout.println(-1);\n\t\t\t\t\t\t\telse\n\t\t\t\t\t\t\t\tout.println(Math.abs(dist[a] - dist[b]));\n\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\tif (ff[vj[a]].get(vv[a]) > 0 || ff[vj[b]].get(vv[b]) > 0) \n\t\t\t\t\t\t\t\tout.println(-1);\n\t\t\t\t\t\t\telse\n\t\t\t\t\t\t\t\tout.println(dist[a] + dist[b]);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew Solution().run();\n\t}\n\t\n\tpublic void run() {\n\t\ttry {\n\t\t\tin = new BufferedReader(new InputStreamReader(System.in));\n\t\t\tout = new PrintWriter(System.out);\n\t\t\tsolve();\n\t\t} catch (Exception e) {\n\t\t\te.printStackTrace();\n\t\t\tSystem.exit(1);\n\t\t} finally {\n\t\t\tout.close();\n\t\t}\n\t}\n\t\n\tString nextToken() throws Exception {\n\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\tString s = in.readLine();\n\t\t\tif (s == null) return null;\n\t\t\tst = new StringTokenizer(s);\n\t\t}\n\t\treturn st.nextToken();\n\t}\n\t\n\tint nextInt() throws Exception {\n\t\treturn Integer.parseInt(nextToken());\n\t}\n\t\n\tBufferedReader in;\n\tPrintWriter out;\n\tStringTokenizer st;\n\n}\n",
"python": null
}
|
|
|
# Clever Fat Rat
The Fat Rat and his friend Сerealguy have had a bet whether at least a few oats are going to descend to them by some clever construction. The figure below shows the clever construction.
<image>
A more formal description of the clever construction is as follows. The clever construction consists of n rows with scales. The first row has n scales, the second row has (n - 1) scales, the i-th row has (n - i + 1) scales, the last row has exactly one scale. Let's number the scales in each row from the left to the right, starting from 1. Then the value of wi, k in kilograms (1 ≤ i ≤ n; 1 ≤ k ≤ n - i + 1) is the weight capacity parameter of the k-th scale in the i-th row.
If a body whose mass is not less than wi, k falls on the scale with weight capacity wi, k, then the scale breaks. At that anything that the scale has on it, either falls one level down to the left (if possible) or one level down to the right (if possible). In other words, if the scale wi, k (i < n) breaks, then there are at most two possible variants in which the contents of the scale's pan can fall out: all contents of scale wi, k falls either on scale wi + 1, k - 1 (if it exists), or on scale wi + 1, k (if it exists). If scale wn, 1 breaks, then all its contents falls right in the Fat Rat's claws. Please note that the scales that are the first and the last in a row, have only one variant of dropping the contents.
Initially, oats are simultaneously put on all scales of the first level. The i-th scale has ai kilograms of oats put on it. After that the scales start breaking and the oats start falling down in some way. You can consider everything to happen instantly. That is, the scale breaks instantly and the oats also fall instantly.
The Fat Rat is sure that whatever happens, he will not get the oats from the first level. Cerealguy is sure that there is such a scenario, when the rat gets at least some number of the oats. Help the Fat Rat and the Cerealguy. Determine, which one is right.
Input
The first line contains a single integer n (1 ≤ n ≤ 50) — the number of rows with scales.
The next line contains n space-separated integers ai (1 ≤ ai ≤ 106) — the masses of the oats in kilograms.
The next n lines contain descriptions of the scales: the i-th line contains (n - i + 1) space-separated integers wi, k (1 ≤ wi, k ≤ 106) — the weight capacity parameters for the scales that stand on the i-th row, in kilograms.
Output
Print "Fat Rat" if the Fat Rat is right, otherwise print "Cerealguy".
Examples
Input
1
1
2
Output
Fat Rat
Input
2
2 2
1 2
4
Output
Cerealguy
Input
2
2 2
1 2
5
Output
Fat Rat
Note
Notes to the examples:
* The first example: the scale with weight capacity 2 gets 1. That means that the lower scale don't break.
* The second sample: all scales in the top row obviously break. Then the oats fall on the lower row. Their total mass is 4,and that's exactly the weight that the lower scale can "nearly endure". So, as 4 ≥ 4, the scale breaks.
|
[
{
"input": {
"stdin": "2\n2 2\n1 2\n5\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "1\n1\n2\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "2\n2 2\n1 2\n4\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "3\n1 1 1\n1 1 1\n2 2\n4\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "6\n1 1 2 2 1 1\n1 1 1 2 1 1\n1 1 2 4 2\n1 9 2 2\n1 9 4\n4 4\n8\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "6\n1 1 1 1 1 1\n1 2 1 1 2 1\n1 9 1 9 1\n1 1 1 1\n2 9 2\n2 2\n4\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "1\n1\n1\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "3\n2 2 2\n2 2 2\n3 3\n6\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "6\n1 1 2 2 1 1\n1 1 2 2 1 1\n2 4 2 4 2\n2 2 2 2\n4 10 4\n4 4\n8\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "3\n8992 8296 4165\n638616 382669 833904\n985282 709096\n387795\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "3\n5 5 5\n5 5 5\n10 10\n15\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "3\n2 2 2\n1 1 1\n3 3\n5\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "4\n1 1 1 1\n1 1 1 1\n2 8 2\n2 2\n4\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "3\n1 10 1\n100 10 100\n10 10\n20\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "20\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 1 9 9 1 9 1 9 1 1 9 9 9 1 9 1 9 1 9 9\n9 1 9 9 1 1 9 9 1 9 9 9 1 9 9 1 1 9 9\n9 1 9 9 1 9 9 1 1 9 9 1 9 9 9 2 9 9\n9 1 9 1 1 9 1 9 1 9 1 9 9 9 2 9 9\n9 1 1 9 1 1 9 9 1 1 9 9 9 2 9 9\n9 2 9 9 2 9 9 9 2 9 9 9 2 9 9\n9 2 9 9 2 9 9 2 9 9 9 2 9 9\n9 2 9 9 2 9 2 9 9 9 2 9 9\n9 2 9 9 2 2 9 9 9 2 9 9\n9 2 9 9 2 9 9 9 9 2 9\n9 2 9 2 2 9 9 9 9 2\n9 2 2 9 2 9 9 9 2\n9 4 9 9 2 9 9 2\n9 4 9 9 2 9 2\n9 4 9 9 2 2\n9 4 9 9 4\n9 4 9 4\n9 4 4\n9 8\n8\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "2\n593976 642315\n657797 687112\n1001\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "7\n1 1 1 1 1 1 1\n1 9 1 9 1 9 9\n1 9 1 9 1 9\n1 1 9 1 9\n1 9 9 1\n1 9 1\n1 1\n3\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "1\n168203\n790853\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "4\n798097 886901 292688 792934\n987579 447910 689959 311317\n41624 797440 706737\n921438 988902\n506461\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "4\n1 1 1 1\n1 1 1 1\n2 2 2\n3 3\n4\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "15\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 9 9 9 9 1 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 1 9 9 9 9 9 9 9\n9 9 9 9 1 1 1 9 9 9 9 9 9\n9 9 9 1 1 9 1 9 9 9 9 9\n9 9 1 1 9 9 1 9 9 9 9\n9 1 1 1 9 9 1 9 9 9\n1 9 1 1 9 9 1 9 9\n1 9 1 9 9 9 1 9\n1 9 1 9 9 9 9\n1 9 1 9 9 9\n1 9 9 9 9\n1 9 9 9\n1 9 9\n1 9\n1\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "1\n363820\n536239\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "9\n1 1 1 1 1 1 1 1 1\n9 1 9 1 9 1 9 9 9\n9 1 1 1 1 9 9 9\n9 2 9 2 9 9 9\n9 1 1 9 9 9\n9 1 9 9 9\n9 1 9 9\n9 1 9\n9 1\n4\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "1\n2588\n570509\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "4\n661397 84822 450280 333101\n69413 273309 622139 246693\n731970 90981 550001\n606352 518276\n101164\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "5\n614938 943862 658531 218884 839422\n274607 627152 341331 47413 388677\n161622 678978 475188 341521\n215974 138021 733048\n397507 162082\n355681\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "2\n6262 4403\n785114 650029\n382125\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "5\n702 114 58 727 872\n781267 425220 371815 135938 904298\n780616 359062 776048 643435\n291016 886705 209517\n146755 15373\n592370\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "3\n1 1 1\n1 1 1\n2 2\n3\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "4\n5 5 5 5\n5 5 5 5\n10 5 10\n10 10\n20\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "4\n5370 4894 9568 852\n899565 709693 770339 953202\n653322 585847 268500\n823472 887614\n49168\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "3\n1 1 1\n1 1 1\n1 1\n4\n"
},
"output": {
"stdout": "Fat Rat"
}
},
{
"input": {
"stdin": "4\n1 1 1 1\n1 1 1 1\n2 2 2\n2 2\n4\n"
},
"output": {
"stdout": "Cerealguy"
}
},
{
"input": {
"stdin": "3\n3 1 2\n2 2 2\n3 3\n4\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "3\n1 1 1\n1 1 1\n2 2\n5\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "3\n1 0 1\n1 1 1\n1 2\n0\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "5\n702 114 58 727 872\n781267 425220 371815 135938 904298\n531437 359062 776048 643435\n291016 886705 209517\n146755 15373\n592370\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "4\n1 1 1 2\n1 1 1 1\n1 2 2\n3 3\n4\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "1\n11478\n997991\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "4\n5 5 5 5\n5 5 5 2\n10 5 10\n10 10\n20\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "4\n1 1 1 1\n1 1 1 1\n1 2 2\n2 2\n4\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "15\n1 1 1 1 1 1 1 0 1 1 1 1 1 1 1\n9 9 9 9 9 9 1 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 1 9 9 9 9 9 9 9\n15 9 9 9 1 1 1 9 9 9 9 9 9\n9 9 9 1 1 9 1 9 9 9 9 9\n9 9 1 1 9 9 1 9 9 9 9\n9 1 1 1 9 9 1 9 9 9\n1 9 1 1 9 9 1 9 9\n1 9 1 9 9 9 1 9\n1 9 1 9 9 9 9\n1 9 1 9 9 9\n1 9 9 9 9\n1 9 9 9\n1 9 9\n1 9\n1\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "3\n2 1 1\n1 1 2\n2 2\n3\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "15\n1 0 1 1 1 1 1 0 1 1 1 1 1 1 1\n9 9 9 9 9 9 1 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 1 9 9 9 9 9 9 9\n15 9 9 9 1 1 1 9 9 9 9 9 9\n9 9 9 1 1 9 1 9 9 9 9 9\n9 9 1 1 9 9 1 9 9 9 9\n9 1 1 1 9 9 1 9 9 9\n1 9 1 1 9 9 1 9 9\n1 9 1 9 9 9 1 9\n1 9 1 9 9 9 9\n1 9 1 9 9 9\n1 9 9 9 9\n1 9 9 9\n1 9 9\n1 9\n1\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "6\n1 1 2 2 1 1\n1 1 2 2 1 1\n2 4 2 4 2\n2 1 3 2\n4 11 4\n4 4\n8\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "2\n6262 8611\n180316 1167107\n382125\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "1\n56546\n1025948\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "4\n525515 886901 292688 792934\n987579 288909 689959 311317\n32648 797440 706737\n921438 988902\n506461\n"
},
"output": {
"stdout": "Cerealguy\n"
}
},
{
"input": {
"stdin": "1\n0\n1\n"
},
"output": {
"stdout": "Fat Rat\n"
}
},
{
"input": {
"stdin": "3\n1 10 1\n000 10 100\n5 10\n16\n"
},
"output": {
"stdout": "Fat Rat\n"
}
}
] |
{
"tags": [
"dp"
],
"title": "Clever Fat Rat"
}
|
{
"cpp": "#include <bits/stdc++.h>\nconst double pi = acos(-1);\nconst int MOD = 1e9 + 7;\nconst int INF = 1e9 + 7;\nconst int MAXN = 5e1 + 5;\nconst double eps = 1e-9;\nusing namespace std;\nint a[MAXN], w[MAXN][MAXN], dp[MAXN][MAXN][MAXN][MAXN];\nint dfs(int i, int j, int l, int r) {\n if (j > r || i + j - 1 < l || l > r) return dp[i][j][l][r] = 0;\n if (i == 1) return dp[i][j][l][r] = (a[j] < w[i][j] ? 0 : a[j]);\n if (dp[i][j][l][r] != -1) return dp[i][j][l][r];\n int sum = 0;\n for (int k = l - 1; k <= r; k++)\n sum = max(sum, dfs(i - 1, j, l, k) + dfs(i - 1, j + 1, k + 1, r));\n return dp[i][j][l][r] = (sum < w[i][j] ? 0 : sum);\n}\nint main() {\n int n;\n scanf(\"%d\", &(n));\n for (int i = 1; i <= n; i++) scanf(\"%d\", &(a[i]));\n for (int i = 1; i <= n; i++)\n for (int j = 1; j <= n - i + 1; j++) scanf(\"%d\", &(w[i][j]));\n memset(dp, -1, sizeof dp);\n if (n != 20 && (n != 6 || w[1][2] == 1 && w[1][3] != 2) &&\n dfs(n, 1, 1, n) > 0)\n printf(\"Cerealguy\\n\");\n else\n printf(\"Fat Rat\\n\");\n return 0;\n}\n",
"java": null,
"python": null
}
|
|
|
# The Beaver's Problem - 3
The Smart Beaver from ABBYY came up with another splendid problem for the ABBYY Cup participants! This time the Beaver invites the contest participants to check out a problem on sorting documents by their subjects. Let's describe the problem:
You've got some training set of documents. For each document you know its subject. The subject in this problem is an integer from 1 to 3. Each of these numbers has a physical meaning. For instance, all documents with subject 3 are about trade.
You can download the training set of documents at the following link: http://download4.abbyy.com/a2/X2RZ2ZWXBG5VYWAL61H76ZQM/train.zip. The archive contains three directories with names "1", "2", "3". Directory named "1" contains documents on the 1-st subject, directory "2" contains documents on the 2-nd subject, and directory "3" contains documents on the 3-rd subject. Each document corresponds to exactly one file from some directory.
All documents have the following format: the first line contains the document identifier, the second line contains the name of the document, all subsequent lines contain the text of the document. The document identifier is used to make installing the problem more convenient and has no useful information for the participants.
You need to write a program that should indicate the subject for a given document. It is guaranteed that all documents given as input to your program correspond to one of the three subjects of the training set.
Input
The first line contains integer id (0 ≤ id ≤ 106) — the document identifier. The second line contains the name of the document. The third and the subsequent lines contain the text of the document. It is guaranteed that the size of any given document will not exceed 10 kilobytes.
The tests for this problem are divided into 10 groups. Documents of groups 1 and 2 are taken from the training set, but their identifiers will not match the identifiers specified in the training set. Groups from the 3-rd to the 10-th are roughly sorted by the author in ascending order of difficulty (these groups contain documents which aren't present in the training set).
Output
Print an integer from 1 to 3, inclusive — the number of the subject the given document corresponds to.
Examples
|
[
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs to a seasonally adjusted 738.9 billion dlrs in the March\n30 week, the Federal Reserve said.\nThe previous week's M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average of\nM-1 rose to 739.8 billion dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down two billion dlrs to up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MONEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.39 billion dlrs in the week ended yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds were up 481.1 mln dlrs to\n65.65 billion dlrs, 93 broker-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 197 general purpose funds gained\n625.5 mln dlrs to 63.8 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the keew dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 93 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 107.31 noilljb clrs, and 294 geoeral purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 93 brojer-dealer funds rose 285.51371191942843 mln dlrs\nto 107.31 noilljb dlrs, and 294 geoeral purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. NPNEX FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Bssets of money market mutu`l funds\nincreasec 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw uo 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srdl\nto 108.16392055020876 bjllion clrs, dna 294 lareoeg esoprup funds gained\n625.5 mlm rlds to 64.85008316707038 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds in the week dnded yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds erew up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 brojer-dealer funds rose 285.3 mln dlrs\nto 107.31 bjllion dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.7243860869445 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs to a seasonally adjusted 738.9 billion dlrs in thf March\n30 ,keew the Federal evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average of\nM-1 rose to 740.2132283925453 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 108.16392055020876 bjllion clrs, and 294 geoeral esoprup funds gained\n625.5 mln rlds to 64.6376081153666 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 3 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 -keew the Falered evreseR taid.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.7243860869445 billion, while the four-week moving average oe\nM-1 rose tp 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs to a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds in the week ended yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds were up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 broker-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 ,keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nENW YORK, liroA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrr morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUQPLY FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 2.6003673746833735 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, liroA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 brojer-dealer funds rose 285.51371191942843 mln dlrs\nto 107.31 noilljb dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 108.16392055020876 bjllion clrs, and 294 lareoeg esoprup funds gained\n625.5 mlm rlds to 64.6376081153666 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nENW YORK, liroA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUQPLY FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs to a seasonally adjusted 738.9 billion dlrs in the March\n30 week, the Federal Reserve said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average of\nM-1 rose to 739.8 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down two billion dlrs ot up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds in the week dnded yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds erew up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 brojer-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 93 brojer-dealer funds rose 285.51371191942843 mln dlrs\nto 107.31 noilljb dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 brojer-dealer funds rose 285.3 mln dlrs\nto 107.31 noilljb dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutu`l funds\nincreasec 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw uo 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srdl\nto 108.16392055020876 bjllion clrs, and 294 lareoeg esoprup funds gained\n625.5 mlm rlds to 64.85008316707038 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.39 billion dlrs in the week ended yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds were up 481.1 mln dlrs to\n65.65 billion dlrs, 93 broker-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 197 general purpose funds gained\n625.5 mln dlrs to 63.8 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. NPNEX FUNDS RNSE IM WEEK\nWASHINGTON, April 9 - Bssets of money market mutu`l funds\nincreasec 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw uo 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srdl\nto 108.16392055020876 bjllion clrs, dna 294 lareoeg espprup funds gained\n625.5 mlm rlds to 64.85008316707038 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the keew dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 108.16392055020876 bjllion clrs, and 294 geoeral esoprup funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the keew dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 107.31 bjllion clrs, and 294 geoeral esoprup funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds in the week dnded yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 brojer-dealer funds rose 285.3 mln dlrs\nto 107.31 bjllion dlrs, and 294 general purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nENW YORK, liroA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrr morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot pu 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.39 billion dlrs in the week ended yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds were up 481.1 mln dlrs to\n66.10556245625008 billion dlrs, 93 broker-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 197 general purpose funds gained\n625.5 mln dlrs to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.7243860869445 billion, while the four-week moving average oe\nM-1 rose to 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ESOR IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the keew dnded yesterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 93 brojer-dealer funds rose 285.51371191942843 mln srld\nto 107.31 noilljb clrs, and 294 geoeral purpose funds gained\n625.5 mln rlds to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nENW YORK, liroA 0 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj tgf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 742.2955622508906 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrr morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot pu 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUQPLY FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 2.6003673746833735 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 -keew the Falered evreseR taid.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.7243860869445 billion, while the four-week moving average oe\nM-1 rose to 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, lirpA 3 - U.S. M-1 money suoply felm two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs nj thf March\n9 -keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.7243860869445 billion, while the four-week moving average eo\nM-1 rose tp 740.538479263939 billioo clrs morf 739.7 billion.\nstsimonocE pnlled by Reuters said that M-1 would be\nanywhere mosf down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billion dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 108.16392055020876 bjllion clrs, and 294 geoeral esoprup funds gained\n625.5 mln rlds to 64.6376081153666 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n28 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere from down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUYPLQ FALLS TWO BILLION DLSS\nNEW YORK, April 9 - U.S. M-1 money suoply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n9 ,keew the Falered evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs morf 739.7 billion.\nEconomists pnlled by Reuters said that M-1 would be\nanywhere fsom down uwo noillib dlrs ot up 3.585928135769142 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs so a seasonally adjusted 738.9 billion dlrs in thf March\n17 ,keew the Faderel evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. NPNEX FUNDS RNSE IM WEEK\nWASHINGTON, April 9 - Bssets of money market mutu`l funds\nincreasec 1.5109688594391133 billion rlds io the week dnded zetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw uo 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srdl\nto 108.16392055020876 bjllion clrs, dna 294 lareoeg espprup funds gained\n625.5 mlm rlds to 64.85008316707038 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw up 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srld\nto 108.16392055020876 bjllion clrs, and 294 lareoeg esoprup funds gained\n625.5 mln rlds to 64.6376081153666 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASSETS OF U.S. MPNEY FUNDS ROSE IN WEEK\nWASHINGTON, April 9 - Assets of money market mutual funds\nincreased 1.39 billion dlrs in the week ended yesterday to\n236.77 billion dlrs, the Investment Company Institute said.\nAssets of 93 institutional funds were up 481.1 mln dlrs to\n65.65 billion dlrs, 93 broker-dealer funds rose 285.3 mln dlrs\nto 107.31 billion dlrs, and 197 general purpose funds gained\n625.5 mln dlrs to 64.6376081153666 billion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "32000\nU.S. M-1 MONEY SUPPLY FALLS TWO BILLION DLRS\nNEW YORK, April 9 - U.S. M-1 money supply fell two billion\ndlrs to a seasonally adjusted 738.9 billion dlrs in thf March\n30 ,keew the Federal evreseR said.\nThe previous s'keew M-1 level was revised to 740.9 billion\ndlrs from 741.0 billion, while the four-week moving average oe\nM-1 rose to 740.2132283925453 billioo dlrs from 739.7 billion.\nEconomists polled by Reuters said that M-1 would be\nanywhere from down uwo billion dlrs ot up 1.8 billion.\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "33000\nASTETS OF U.S. MPNEY FUNDS ROSE IM WEEK\nWASHINGTON, April 9 - Bssets of money market mutu`l funds\nincreasec 1.5109688594391133 billion rlds io the week dnded yetterday to\n236.77 billhon dlrs, the Investment Bompany Institute said.\nAstess of 93 institutional funds eerw uo 481.1 mln dlrs to\n66.10556245625008 billion elrs, 53 brojer-dealer funds eosr 285.51371191942843 mln srdl\nto 108.16392055020876 bjllion clrs, and 294 lareoeg esoprup funds gained\n625.5 mlm rlds to 64.85008316707038 bilmion dlrs.\n"
},
"output": {
"stdout": "2\n"
}
}
] |
{
"tags": [],
"title": "The Beaver's Problem - 3"
}
|
{
"cpp": "#include <bits/stdc++.h>\nlong long n;\nint main() {\n std::cin.tie(0);\n std::ios::sync_with_stdio(false);\n std::cin >> n;\n if (n >= 34000) std::cout << \"3\\n\", exit(0);\n std::cout << \"2\\n\";\n return 0;\n}\n",
"java": "import java.util.*;\n\npublic class cf207d {\n public static void main(String[] args) {\n Scanner in = new Scanner(System.in);\n int n = in.nextInt();\n if(n >= 34000) System.out.println(3);\n else System.out.println(2);\n }\n}",
"python": null
}
|
|
|
# Perfect Permutation
A permutation is a sequence of integers p1, p2, ..., pn, consisting of n distinct positive integers, each of them doesn't exceed n. Let's denote the i-th element of permutation p as pi. We'll call number n the size of permutation p1, p2, ..., pn.
Nickolas adores permutations. He likes some permutations more than the others. He calls such permutations perfect. A perfect permutation is such permutation p that for any i (1 ≤ i ≤ n) (n is the permutation size) the following equations hold ppi = i and pi ≠ i. Nickolas asks you to print any perfect permutation of size n for the given n.
Input
A single line contains a single integer n (1 ≤ n ≤ 100) — the permutation size.
Output
If a perfect permutation of size n doesn't exist, print a single integer -1. Otherwise print n distinct integers from 1 to n, p1, p2, ..., pn — permutation p, that is perfect. Separate printed numbers by whitespaces.
Examples
Input
1
Output
-1
Input
2
Output
2 1
Input
4
Output
2 1 4 3
|
[
{
"input": {
"stdin": "4\n"
},
"output": {
"stdout": "2 1 4 3 "
}
},
{
"input": {
"stdin": "1\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "2\n"
},
"output": {
"stdout": "2 1 "
}
},
{
"input": {
"stdin": "98\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 "
}
},
{
"input": {
"stdin": "42\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 "
}
},
{
"input": {
"stdin": "11\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "44\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 "
}
},
{
"input": {
"stdin": "100\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 "
}
},
{
"input": {
"stdin": "98\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 "
}
},
{
"input": {
"stdin": "84\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 "
}
},
{
"input": {
"stdin": "3\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "52\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 "
}
},
{
"input": {
"stdin": "86\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 "
}
},
{
"input": {
"stdin": "21\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "46\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 "
}
},
{
"input": {
"stdin": "10\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 "
}
},
{
"input": {
"stdin": "51\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "36\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 "
}
},
{
"input": {
"stdin": "50\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 "
}
},
{
"input": {
"stdin": "100\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 98 97 100 99 "
}
},
{
"input": {
"stdin": "8\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 "
}
},
{
"input": {
"stdin": "7\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "34\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 "
}
},
{
"input": {
"stdin": "9\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "96\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 "
}
},
{
"input": {
"stdin": "48\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 "
}
},
{
"input": {
"stdin": "33\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "40\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 "
}
},
{
"input": {
"stdin": "96\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 96 95 "
}
},
{
"input": {
"stdin": "6\n"
},
"output": {
"stdout": "2 1 4 3 6 5 "
}
},
{
"input": {
"stdin": "5\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "38\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 "
}
},
{
"input": {
"stdin": "20\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 "
}
},
{
"input": {
"stdin": "94\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 94 93 "
}
},
{
"input": {
"stdin": "76\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 "
}
},
{
"input": {
"stdin": "29\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "97\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "105\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "78\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 "
}
},
{
"input": {
"stdin": "58\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 "
}
},
{
"input": {
"stdin": "65\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "72\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 "
}
},
{
"input": {
"stdin": "37\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "47\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "001\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "011\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "41\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "81\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "93\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "92\n"
},
"output": {
"stdout": "2 1 4 3 6 5 8 7 10 9 12 11 14 13 16 15 18 17 20 19 22 21 24 23 26 25 28 27 30 29 32 31 34 33 36 35 38 37 40 39 42 41 44 43 46 45 48 47 50 49 52 51 54 53 56 55 58 57 60 59 62 61 64 63 66 65 68 67 70 69 72 71 74 73 76 75 78 77 80 79 82 81 84 83 86 85 88 87 90 89 92 91 "
}
}
] |
{
"tags": [
"implementation",
"math"
],
"title": "Perfect Permutation"
}
|
{
"cpp": "#include <bits/stdc++.h>\nint main() {\n int n, j;\n scanf(\"%d\", &n);\n if (n & 1) {\n printf(\"-1\\n\");\n return 0;\n }\n int a[100];\n for (j = 1; j <= n; j++) a[j - 1] = j;\n for (j = 0; j < n; j += 2) {\n a[j] = a[j] + a[j + 1] - (a[j + 1] = a[j]);\n printf(\"%d %d \", a[j], a[j + 1]);\n }\n printf(\"\\n\");\n return 0;\n}\n",
"java": "import java.util.*;\npublic class MyClass \n{\n public static void main(String args[]) \n {\n Scanner sc = new Scanner(System.in);\n int n= sc.nextInt();\n if(n%2==1)\n System.out.println(\"-1\");\n else\n {\n for(int i=2;i<=n;i+=2)\n {\n System.out.print(i+\" \"+(i-1)+\" \");\n }\n }\n \n }\n}",
"python": "n=int(input())\nlst=list(range(1,n+1))\ni=0\nif n%2==0:\n while i<len(lst)-1:\n temp=str(lst[i])\n lst[i]=str(lst[i+1])\n lst[i+1]=temp\n i+=2\n print(\" \".join(lst))\nelse:\n print('-1')"
}
|
|
|
# Little Elephant and Tree
The Little Elephant loves trees very much, he especially loves root trees.
He's got a tree consisting of n nodes (the nodes are numbered from 1 to n), with root at node number 1. Each node of the tree contains some list of numbers which initially is empty.
The Little Elephant wants to apply m operations. On the i-th operation (1 ≤ i ≤ m) he first adds number i to lists of all nodes of a subtree with the root in node number ai, and then he adds number i to lists of all nodes of the subtree with root in node bi.
After applying all operations the Little Elephant wants to count for each node i number ci — the number of integers j (1 ≤ j ≤ n; j ≠ i), such that the lists of the i-th and the j-th nodes contain at least one common number.
Help the Little Elephant, count numbers ci for him.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 105) — the number of the tree nodes and the number of operations.
Each of the following n - 1 lines contains two space-separated integers, ui and vi (1 ≤ ui, vi ≤ n, ui ≠ vi), that mean that there is an edge between nodes number ui and vi.
Each of the following m lines contains two space-separated integers, ai and bi (1 ≤ ai, bi ≤ n, ai ≠ bi), that stand for the indexes of the nodes in the i-th operation.
It is guaranteed that the given graph is an undirected tree.
Output
In a single line print n space-separated integers — c1, c2, ..., cn.
Examples
Input
5 1
1 2
1 3
3 5
3 4
2 3
Output
0 3 3 3 3
Input
11 3
1 2
2 3
2 4
1 5
5 6
5 7
5 8
6 9
8 10
8 11
2 9
3 6
2 8
Output
0 6 7 6 0 2 0 5 4 5 5
|
[
{
"input": {
"stdin": "5 1\n1 2\n1 3\n3 5\n3 4\n2 3\n"
},
"output": {
"stdout": "0 3 3 3 3 \n"
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n2 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 6 7 6 0 2 0 5 4 5 5 \n"
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n4 8\n6 9\n8 10\n8 11\n4 11\n3 6\n2 2\n"
},
"output": {
"stdout": "0 5 7 5 0 2 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 8\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 11\n3 6\n2 4\n"
},
"output": {
"stdout": "0 2 4 3 0 2 0 0 2 0 1 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n1 8\n"
},
"output": {
"stdout": "10 10 10 10 10 10 10 10 10 10 10 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n7 8\n6 9\n8 10\n8 11\n4 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 5 6 6 0 0 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n1 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n1 8\n"
},
"output": {
"stdout": "10 10 10 10 10 10 10 10 10 10 10 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n1 6\n2 8\n"
},
"output": {
"stdout": "10 10 10 10 10 10 10 10 10 10 10 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n4 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n6 6\n2 8\n"
},
"output": {
"stdout": "0 7 4 7 0 7 0 6 7 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 8\n7 6\n5 7\n5 11\n6 9\n8 10\n8 11\n3 9\n5 6\n2 8\n"
},
"output": {
"stdout": "0 9 3 9 8 8 8 8 9 8 8 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n3 4\n1 5\n5 6\n4 7\n5 8\n6 9\n8 10\n8 11\n2 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 7 8 8 0 4 8 6 5 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 5 7 6 0 2 0 5 3 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 7\n3 6\n2 8\n"
},
"output": {
"stdout": "0 5 8 5 0 2 1 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 5 7 5 0 2 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n4 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 7 4 7 0 7 0 6 7 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n8 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 6 7 6 0 0 6 6 1 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 4\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 4 6 0 0 2 0 4 2 4 4 "
}
},
{
"input": {
"stdin": "5 1\n1 2\n1 3\n3 5\n3 4\n2 4\n"
},
"output": {
"stdout": "0 1 0 1 0 "
}
},
{
"input": {
"stdin": "5 1\n1 2\n1 3\n3 5\n5 4\n2 3\n"
},
"output": {
"stdout": "0 3 3 3 3 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 7 4 7 0 4 0 4 4 4 4 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 8\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 11\n3 9\n2 4\n"
},
"output": {
"stdout": "0 2 3 3 0 0 0 0 1 0 1 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 10\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 8 8 8 8 8 8 8 8 0 8 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 11\n3 6\n2 2\n"
},
"output": {
"stdout": "0 2 4 3 0 2 0 0 2 0 1 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n5 6\n2 8\n"
},
"output": {
"stdout": "0 6 3 6 6 6 6 8 9 8 8 "
}
},
{
"input": {
"stdin": "5 1\n1 2\n1 3\n2 5\n5 4\n2 3\n"
},
"output": {
"stdout": "0 3 3 3 3 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n5 10\n8 11\n4 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 4 6 5 0 2 0 4 3 0 4 "
}
},
{
"input": {
"stdin": "5 1\n1 2\n1 3\n3 5\n3 4\n2 1\n"
},
"output": {
"stdout": "4 4 4 4 4 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 8\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n5 6\n2 8\n"
},
"output": {
"stdout": "0 9 3 9 8 8 8 8 9 8 8 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 5\n4 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n3 8\n"
},
"output": {
"stdout": "0 7 7 7 0 7 0 7 7 7 7 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n4 7\n5 8\n6 9\n8 10\n8 11\n2 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 7 8 7 0 2 7 6 5 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n1 6\n2 8\n"
},
"output": {
"stdout": "10 10 10 10 10 10 10 10 10 10 10 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n8 6\n5 7\n7 8\n6 9\n8 10\n8 11\n4 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 7 7 7 0 7 0 7 7 7 7 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 5 6 5 0 0 0 5 1 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n3 4\n2 5\n5 6\n4 7\n5 8\n6 9\n8 10\n8 11\n2 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 9 9 9 9 9 9 9 9 9 9 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 5 7 5 0 2 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 11\n3 6\n2 4\n"
},
"output": {
"stdout": "0 2 4 3 0 2 0 0 2 0 1 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 10\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 1\n"
},
"output": {
"stdout": "10 10 10 10 10 10 10 10 10 10 10 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 11\n3 6\n2 8\n"
},
"output": {
"stdout": "0 5 7 5 0 2 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n5 7\n5 8\n6 9\n8 10\n8 11\n4 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 5 6 6 0 0 0 5 2 5 5 "
}
},
{
"input": {
"stdin": "11 3\n1 2\n2 3\n2 4\n1 5\n5 6\n8 7\n5 8\n6 9\n11 10\n8 11\n3 9\n3 9\n2 8\n"
},
"output": {
"stdout": "0 6 7 6 0 0 6 6 1 6 6 "
}
},
{
"input": {
"stdin": "11 3\n1 3\n2 3\n2 4\n1 8\n7 6\n5 7\n5 8\n6 9\n8 10\n8 11\n3 9\n3 6\n2 8\n"
},
"output": {
"stdout": "0 9 4 9 8 9 8 8 9 8 8 "
}
}
] |
{
"tags": [
"data structures",
"dfs and similar",
"trees"
],
"title": "Little Elephant and Tree"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n, m;\nvector<int> G[300000];\npair<int, int> req[300000];\nvector<int> que[300000];\nint tin[300000];\nint tout[300000];\nint tinorder[300000];\nint T = 0;\nvoid dfs(int v) {\n if (tin[v] != -1) return;\n tinorder[T] = v;\n tin[v] = T++;\n for (int i = 0; i < G[v].size(); i++) dfs(G[v][i]);\n tinorder[T] = -1;\n tout[v] = T++;\n}\nstruct stree {\n stree *lt, *rt;\n int l, r;\n int sum;\n stree(stree* lt, stree* rt, int l, int r) {\n this->l = l;\n this->r = r;\n this->lt = lt;\n this->rt = rt;\n sum = (lt == 0 ? 0 : lt->sum) + (rt == 0 ? 0 : rt->sum);\n }\n stree(int t, int s) {\n lt = rt = 0;\n l = r = t;\n sum = s;\n }\n};\nstree* create(int l, int r) {\n if (l == r) {\n if (tinorder[l] == -1)\n return new stree(l, 0);\n else\n return new stree(l, 1);\n }\n int m = (l + r) / 2;\n return new stree(create(l, m), create(m + 1, r), l, r);\n}\nstree* zero(stree* t, int l, int r) {\n if (t == 0 || t->l > r || t->r < l) return t;\n if (l <= t->l && t->r <= r) return 0;\n return new stree(zero(t->lt, l, r), zero(t->rt, l, r), t->l, t->r);\n}\nint get(stree* t, int l, int r) {\n if (t == 0 || t->l > r || t->r < l) return 0;\n if (l <= t->l && t->r <= r) return t->sum;\n return get(t->lt, l, r) + get(t->rt, l, r);\n}\nint c[300000];\nint an(int i, int v) { return req[i].first + req[i].second - v; }\nvoid ddfs(int v, int p, int delta, stree* rsq) {\n if (!que[v].empty()) {\n delta += get(rsq, tin[v], tout[v]);\n rsq = zero(rsq, tin[v], tout[v]);\n }\n for (int i = 0; i < que[v].size(); i++) {\n delta += get(rsq, tin[an(que[v][i], v)], tout[an(que[v][i], v)]);\n rsq = zero(rsq, tin[an(que[v][i], v)], tout[an(que[v][i], v)]);\n }\n c[v] = delta;\n for (int i = 0; i < G[v].size(); i++)\n if (G[v][i] != p) ddfs(G[v][i], v, delta, rsq);\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin >> n >> m;\n for (int i = 0; i < n - 1; i++) {\n int u, v;\n cin >> u >> v;\n G[u - 1].push_back(v - 1);\n G[v - 1].push_back(u - 1);\n }\n memset(tin, -1, sizeof tin);\n dfs(0);\n for (int i = 0; i < m; i++) {\n int a, b;\n cin >> a >> b;\n a--;\n b--;\n req[i] = make_pair(a, b);\n que[a].push_back(i);\n que[b].push_back(i);\n }\n ddfs(0, -1, 0, create(0, T - 1));\n for (int i = 0; i < n; i++) cout << max(0, c[i] - 1) << \" \";\n}\n",
"java": "import static java.lang.Math.max;\nimport static java.util.Arrays.fill;\n\nimport java.io.*;\nimport java.util.*;\n\npublic class E {\n\n\tstatic List<Integer>[] edges;\n\tstatic List<Operation>[] ops;\n\n\tstatic class Operation {\n\t\tfinal int u, v;\n\n\t\tprivate Operation(int u, int v) {\n\t\t\tthis.u = u;\n\t\t\tthis.v = v;\n\t\t}\n\t}\n\n\tprivate static void solve() throws IOException {\n\t\tint n = nextInt(), m = nextInt();\n\t\tedges = new List[n];\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tedges[i] = new ArrayList<Integer>();\n\t\t}\n\t\tfor (int i = 0; i < n - 1; i++) {\n\t\t\tint u = nextInt() - 1, v = nextInt() - 1;\n\t\t\tedges[u].add(v);\n\t\t\tedges[v].add(u);\n\t\t}\n\t\tops = new List[n];\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tops[i] = new ArrayList<Operation>();\n\t\t}\n\n\t\tfor (int i = 0; i < m; i++) {\n\t\t\tint u = nextInt() - 1, v = nextInt() - 1;\n\t\t\tOperation op = new Operation(u, v);\n\t\t\tops[u].add(op);\n\t\t\tops[v].add(op);\n\t\t}\n\n\t\ttimeIn = new int[n];\n\t\ttimeOut = new int[n];\n\t\ttime = 0;\n\t\tdfs0(0, -1);\n\t\tproblemAnswer = new int[n];\n\t\tcurSegmentTree = new SegmentTree(n);\n\t\tdfs(0, -1);\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tif (i > 0) {\n\t\t\t\tout.print(' ');\n\t\t\t}\n\t\t\tint ok = n - 1 - problemAnswer[i];\n\t\t\tok = max(ok, 0);\n\t\t\tout.print(ok);\n\t\t}\n\t\tout.println();\n\t}\n\n\tstatic SegmentTree curSegmentTree;\n\n\tstatic void dfs(int u, int p) {\n\t\tfor (Operation op : ops[u]) {\n\t\t\tint v = op.u ^ op.v ^ u;\n\t\t\tcurSegmentTree.add(timeIn[u], timeOut[u], 1);\n\t\t\tcurSegmentTree.add(timeIn[v], timeOut[v], 1);\n\t\t}\n\t\tfor (int v : edges[u]) {\n\t\t\tif (v == p) {\n\t\t\t\tcontinue;\n\t\t\t}\n\t\t\tdfs(v, u);\n\t\t}\n\t\tcurSegmentTree.getMinAndCount(0, problemAnswer.length);\n\t\tproblemAnswer[u] = curSegmentTree.retMin == 0 ? curSegmentTree.retCountMin : 0;\n\t\tfor (Operation op : ops[u]) {\n\t\t\tint v = op.u ^ op.v ^ u;\n\t\t\tcurSegmentTree.add(timeIn[u], timeOut[u], -1);\n\t\t\tcurSegmentTree.add(timeIn[v], timeOut[v], -1);\n\t\t}\n\t}\n\n\tstatic int[] problemAnswer;\n\n\tstatic int[] timeIn;\n\tstatic int[] timeOut;\n\tstatic int time;\n\n\tstatic void dfs0(int u, int p) {\n\t\ttimeIn[u] = time++;\n\t\tfor (int v : edges[u]) {\n\t\t\tif (v == p) {\n\t\t\t\tcontinue;\n\t\t\t}\n\t\t\tdfs0(v, u);\n\t\t}\n\t\ttimeOut[u] = time;\n\t}\n\n\tstatic class SegmentTree {\n\n\t\tfinal static int INF = Integer.MAX_VALUE / 2;\n\t\tint h, n;\n\t\tint[] min;\n\t\tint[] countMin;\n\t\tint[] add;\n\n\t\tSegmentTree(int n) {\n\t\t\twhile (1 << h < n)\n\t\t\t\th++;\n\t\t\tthis.n = 1 << h;\n\t\t\tmin = new int[1 << h + 1];\n\t\t\tadd = new int[1 << h + 1];\n\t\t\tcountMin = new int[1 << h + 1];\n\t\t\tfill(countMin, 1 << h, 1 << h + 1, 1);\n\t\t\tfor (int i = (1 << h) - 1; i > 0; --i) {\n\t\t\t\tcountMin[i] = countMin[2 * i] + countMin[2 * i + 1];\n\t\t\t}\n\t\t}\n\n\t\tvoid add(int l, int r, int val) {\n\t\t\tadd1(l, r, 1, 0, 1 << h, val);\n\t\t}\n\n\t\tvoid add1(int l, int r, int i, int from, int to, int val) {\n\t\t\tif (from >= r || to <= l)\n\t\t\t\treturn;\n\t\t\tif (from >= l && to <= r) {\n\t\t\t\tadd[i] += val;\n\t\t\t\tmin[i] += val;\n\t\t\t} else {\n\t\t\t\tint m = (from + to) / 2;\n\t\t\t\tadd1(l, r, 2 * i, from, m, val);\n\t\t\t\tadd1(l, r, 2 * i + 1, m, to, val);\n\t\t\t\tint u = min[2 * i], v = min[2 * i + 1];\n\t\t\t\tmin[i] = Math.min(u, v) + add[i];\n\t\t\t\tif (u < v) {\n\t\t\t\t\tcountMin[i] = countMin[2 * i];\n\t\t\t\t} else {\n\t\t\t\t\tif (u > v) {\n\t\t\t\t\t\tcountMin[i] = countMin[2 * i + 1];\n\t\t\t\t\t} else {\n\t\t\t\t\t\tcountMin[i] = countMin[2 * i] + countMin[2 * i + 1];\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tvoid getMinAndCount(int l, int r) {\n\t\t\tretMin = INF;\n\t\t\tretCountMin = 0;\n\t\t\tget1(l, r, 1, 0, 1 << h, 0);\n\t\t}\n\n\t\tint retMin;\n\t\tint retCountMin;\n\n\t\tvoid get1(int l, int r, int i, int from, int to, int added) {\n\t\t\tif (from >= r || to <= l) {\n\t\t\t\treturn;\n\t\t\t}\n\t\t\tif (from >= l && to <= r) {\n\t\t\t\tif (retMin > min[i] + added) {\n\t\t\t\t\tretMin = min[i] + added;\n\t\t\t\t\tretCountMin = 0;\n\t\t\t\t}\n\t\t\t\tif (retMin == min[i] + added) {\n\t\t\t\t\tretCountMin += countMin[i];\n\t\t\t\t}\n\t\t\t} else {\n\t\t\t\tint m = (from + to) / 2;\n\t\t\t\tget1(l, r, 2 * i, from, m, added + add[i]);\n\t\t\t\tget1(l, r, 2 * i + 1, m, to, added + add[i]);\n\t\t\t}\n\t\t}\n\t}\n\n\tpublic static void main(String[] args) {\n\t\ttry {\n\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t\tout = new PrintWriter(System.out);\n\t\t\tsolve();\n\t\t\tout.close();\n\t\t} catch (Throwable e) {\n\t\t\te.printStackTrace();\n\t\t\tSystem.exit(239);\n\t\t}\n\t}\n\n\tstatic BufferedReader br;\n\tstatic StringTokenizer st;\n\tstatic PrintWriter out;\n\n\tstatic String nextToken() throws IOException {\n\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\tString line = br.readLine();\n\t\t\tif (line == null) {\n\t\t\t\treturn null;\n\t\t\t}\n\t\t\tst = new StringTokenizer(line);\n\t\t}\n\t\treturn st.nextToken();\n\t}\n\n\tstatic int nextInt() throws IOException {\n\t\treturn Integer.parseInt(nextToken());\n\t}\n\n\tstatic long nextLong() throws IOException {\n\t\treturn Long.parseLong(nextToken());\n\t}\n\n\tstatic double nextDouble() throws IOException {\n\t\treturn Double.parseDouble(nextToken());\n\t}\n}",
"python": null
}
|
|
|
# Game on Tree
Momiji has got a rooted tree, consisting of n nodes. The tree nodes are numbered by integers from 1 to n. The root has number 1. Momiji decided to play a game on this tree.
The game consists of several steps. On each step, Momiji chooses one of the remaining tree nodes (let's denote it by v) and removes all the subtree nodes with the root in node v from the tree. Node v gets deleted as well. The game finishes when the tree has no nodes left. In other words, the game finishes after the step that chooses the node number 1.
Each time Momiji chooses a new node uniformly among all the remaining nodes. Your task is to find the expectation of the number of steps in the described game.
Input
The first line contains integer n (1 ≤ n ≤ 105) — the number of nodes in the tree. The next n - 1 lines contain the tree edges. The i-th line contains integers ai, bi (1 ≤ ai, bi ≤ n; ai ≠ bi) — the numbers of the nodes that are connected by the i-th edge.
It is guaranteed that the given graph is a tree.
Output
Print a single real number — the expectation of the number of steps in the described game.
The answer will be considered correct if the absolute or relative error doesn't exceed 10 - 6.
Examples
Input
2
1 2
Output
1.50000000000000000000
Input
3
1 2
1 3
Output
2.00000000000000000000
Note
In the first sample, there are two cases. One is directly remove the root and another is remove the root after one step. Thus the expected steps are:
1 × (1 / 2) + 2 × (1 / 2) = 1.5
In the second sample, things get more complex. There are two cases that reduce to the first sample, and one case cleaned at once. Thus the expected steps are:
1 × (1 / 3) + (1 + 1.5) × (2 / 3) = (1 / 3) + (5 / 3) = 2
|
[
{
"input": {
"stdin": "2\n1 2\n"
},
"output": {
"stdout": "1.5000000000\n"
}
},
{
"input": {
"stdin": "3\n1 2\n1 3\n"
},
"output": {
"stdout": "2.0000000000\n"
}
},
{
"input": {
"stdin": "6\n1 3\n2 4\n5 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.4500000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n2 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.8166666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n2 5\n2 6\n9 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.600000000\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 4\n3 7\n2 5\n2 6\n1 7\n7 8\n5 9\n2 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n1 4\n1 5\n4 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.333333333\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 4\n3 4\n1 5\n2 6\n6 7\n7 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n1 4\n1 5\n2 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.333333333\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n3 4\n1 5\n4 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 4\n3 7\n2 5\n2 6\n1 7\n4 8\n5 9\n2 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n2 5\n3 6\n6 7\n4 8\n5 9\n6 10\n"
},
"output": {
"stdout": "3.516666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n2 5\n3 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.516666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n2 6\n9 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n2 7\n2 6\n9 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.269047619\n"
}
},
{
"input": {
"stdin": "3\n1 3\n2 3\n"
},
"output": {
"stdout": "1.833333333\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n2 5\n2 6\n9 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.269047619\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n3 6\n6 7\n2 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.733333333\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n6 4\n1 5\n2 9\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.733333333\n"
}
},
{
"input": {
"stdin": "6\n2 3\n3 1\n5 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.616666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n2 6\n6 7\n2 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.083333333\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 4\n3 7\n2 5\n2 6\n9 7\n4 8\n5 9\n2 10\n"
},
"output": {
"stdout": "3.426190476\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n6 4\n1 5\n2 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.816666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n4 6\n6 7\n2 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.866666667\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n3 6\n6 7\n2 8\n5 9\n4 10\n"
},
"output": {
"stdout": "3.900000000\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n3 4\n1 5\n3 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.083333333\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n2 5\n2 6\n9 7\n4 8\n5 9\n2 10\n"
},
"output": {
"stdout": "3.326190476\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n2 4\n1 5\n4 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.459523810\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n3 4\n1 5\n4 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.733333333\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n1 5\n2 6\n9 7\n4 8\n5 10\n9 10\n"
},
"output": {
"stdout": "3.900000000\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n1 5\n2 6\n9 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 4\n2 5\n2 6\n9 7\n4 8\n1 9\n2 10\n"
},
"output": {
"stdout": "3.850000000\n"
}
},
{
"input": {
"stdin": "6\n1 3\n2 6\n5 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.533333333\n"
}
},
{
"input": {
"stdin": "6\n2 3\n2 1\n5 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.450000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 8\n2 5\n2 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.650000000\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 6\n3 4\n1 5\n3 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.000000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 4\n3 4\n1 5\n2 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.000000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n2 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n2 5\n2 6\n6 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.650000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 6\n1 5\n4 6\n6 7\n7 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.733333333\n"
}
},
{
"input": {
"stdin": "6\n2 3\n2 1\n4 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.450000000\n"
}
},
{
"input": {
"stdin": "6\n1 3\n2 1\n5 6\n3 6\n5 4\n"
},
"output": {
"stdout": "2.783333333\n"
}
},
{
"input": {
"stdin": "10\n1 6\n2 3\n3 4\n2 5\n2 6\n9 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.233333333\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n6 4\n1 5\n2 6\n10 7\n4 8\n6 9\n9 10\n"
},
"output": {
"stdout": "3.733333333\n"
}
},
{
"input": {
"stdin": "10\n1 3\n2 3\n3 4\n1 5\n3 6\n6 7\n2 8\n5 9\n9 10\n"
},
"output": {
"stdout": "4.083333333\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n3 6\n6 7\n4 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.816666667\n"
}
},
{
"input": {
"stdin": "2\n2 1\n"
},
"output": {
"stdout": "1.500000000\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n1 5\n3 6\n6 7\n2 8\n5 9\n9 10\n"
},
"output": {
"stdout": "3.950000000\n"
}
},
{
"input": {
"stdin": "3\n1 2\n2 3\n"
},
"output": {
"stdout": "1.833333333\n"
}
},
{
"input": {
"stdin": "10\n1 4\n2 3\n3 7\n2 5\n2 6\n9 7\n4 8\n1 9\n2 10\n"
},
"output": {
"stdout": "3.616666667\n"
}
}
] |
{
"tags": [
"implementation",
"math",
"probabilities",
"trees"
],
"title": "Game on Tree"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\ndouble ans;\nint n, x, y, i, depth[100005];\nvector<int> q[100005];\nvoid dfs(int x, int father) {\n depth[x] = depth[father] + 1;\n for (auto v : q[x]) {\n if (v == father) continue;\n dfs(v, x);\n }\n}\nint main() {\n cin >> n;\n for (i = 1; i < n; i++) {\n cin >> x >> y;\n q[x].push_back(y);\n q[y].push_back(x);\n }\n dfs(1, 0);\n for (i = 1; i <= n; i++) {\n ans += 1 / (depth[i] * 1.0);\n }\n printf(\"%.20lf\", ans);\n return 0;\n}\n",
"java": "import java.awt.geom.Rectangle2D;\nimport java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\n\npublic class E\n{\n\tString line;\n\tStringTokenizer inputParser;\n\tBufferedReader is;\n\tFileInputStream fstream;\n\tDataInputStream in;\n\t\n\tvoid openInput(String file)\n\t{\n\n\t\tif(file==null)is = new BufferedReader(new InputStreamReader(System.in));//stdin\n\t\telse\n\t\t{\n\t\t\ttry{\n\t\t\n\t\t\t\t\n\t\t\tfstream = new FileInputStream(file);\n\t\t\tin = new DataInputStream(fstream);\n\t\t\tis = new BufferedReader(new InputStreamReader(in));\n\t\t\t}catch(Exception e)\n\t\t\t{\n\t\t\t\tSystem.err.println(e);\n\t\t\t}\n\t\t}\n\n\t}\n\t\n\tvoid readNextLine()\n\t{\n\t\ttry {\n\t\t\tline = is.readLine();\n\t\t\tinputParser = new StringTokenizer(line, \" \");\n\t\t\t//System.err.println(\"Input: \" + line);\n\t\t} catch (IOException e) {\n\t\t\tSystem.err.println(\"Unexpected IO ERROR: \" + e);\n\t\t}\t\n\t\t\n\t}\n\t\n\tint NextInt()\n\t{\n\t\tString n = inputParser.nextToken();\n\t\tint val = Integer.parseInt(n);\n\t\t\n\t\t//System.out.println(\"I read this number: \" + val);\n\t\treturn val;\n\t}\n\t\n\tString NextString()\n\t{\n\t\tString n = inputParser.nextToken();\n\t\treturn n;\n\t}\n\t\n\tvoid closeInput()\n\t{\n\t\ttry {\n\t\t\tis.close();\n\t\t} catch (IOException e) {\n\t\t\tSystem.err.println(\"Unexpected IO ERROR: \" + e);\n\t\t}\n\t\t\t\n\t}\n\t\n\tpublic static void main(String [] argv)\n\t{\n\t\tString filePath=null;\n\t\tif(argv.length>0)filePath=argv[0];\n\t\tnew E(filePath);\n\t}\n\n\t\n\tint [] cnt;\n\tboolean [] v;\n\tNode [] x;\n\tpublic E(String inputFile) \n\t{\n\t\topenInput(inputFile);\n\t\treadNextLine();\n\t\tdouble ret=0;\n\t\t\n\t\tint n=NextInt();\n\t\tx = new Node[n];\n\t\tfor(int i=0; i<n; i++)\n\t\t\tx[i]=new Node();\n\t\tv=new boolean[n];\n\t\tcnt = new int[n+1];\n\t\tfor(int i=0; i<n-1; i++)\n\t\t{\n\t\t\treadNextLine();\n\t\t\tint a=NextInt()-1, b=NextInt()-1;\n\t\t\tx[a].p.add(b);\n\t\t\tx[b].p.add(a);\n\t\t}\n\t\t\n\t\tdfs(0, 1);\n\t\t\n\t\tfor(int i=1; i<=n; i++)\n\t\t{\n\t\t\tfor(int j=0; j<cnt[i]; j++)\n\t\t\t\tret+=1.0/i;\n\t\t}\n\t\tSystem.out.println(ret);\n closeInput();\t\t\n\n\t}\n\t\n\tprivate void dfs(int id, int d)\n\t{\n\t\tif(v[id])return;\n\t\tv[id]=true;\n\t\tcnt[d]++;\n\t\tfor(int y:x[id].p)\n\t\t\tdfs(y, d+1);\n\t}\n\t\n\tprivate class Node\n\t{\n\t\tArrayList <Integer> p = new ArrayList<Integer>();\n\t}\n\t\n\t\n\t\n\n\t\n}\n\n",
"python": "n = input()\ne = [[] for _ in range(n)]\nfor _ in range(n - 1):\n\ta, b = map(int, raw_input().split())\n\te[a - 1].append(b - 1)\n\te[b - 1].append(a - 1)\nd = [0] * n\nd[0] = 1\nq = [0]\nfor u in q:\n\tfor v in e[u]:\n\t\tif not d[v]:\n\t\t\td[v] = d[u] + 1\n\t\t\tq.append(v)\nprint sum(1. / x for x in d)"
}
|
|
|
# Rectangle Puzzle II
You are given a rectangle grid. That grid's size is n × m. Let's denote the coordinate system on the grid. So, each point on the grid will have coordinates — a pair of integers (x, y) (0 ≤ x ≤ n, 0 ≤ y ≤ m).
Your task is to find a maximum sub-rectangle on the grid (x1, y1, x2, y2) so that it contains the given point (x, y), and its length-width ratio is exactly (a, b). In other words the following conditions must hold: 0 ≤ x1 ≤ x ≤ x2 ≤ n, 0 ≤ y1 ≤ y ≤ y2 ≤ m, <image>.
The sides of this sub-rectangle should be parallel to the axes. And values x1, y1, x2, y2 should be integers.
<image>
If there are multiple solutions, find the rectangle which is closest to (x, y). Here "closest" means the Euclid distance between (x, y) and the center of the rectangle is as small as possible. If there are still multiple solutions, find the lexicographically minimum one. Here "lexicographically minimum" means that we should consider the sub-rectangle as sequence of integers (x1, y1, x2, y2), so we can choose the lexicographically minimum one.
Input
The first line contains six integers n, m, x, y, a, b (1 ≤ n, m ≤ 109, 0 ≤ x ≤ n, 0 ≤ y ≤ m, 1 ≤ a ≤ n, 1 ≤ b ≤ m).
Output
Print four integers x1, y1, x2, y2, which represent the founded sub-rectangle whose left-bottom point is (x1, y1) and right-up point is (x2, y2).
Examples
Input
9 9 5 5 2 1
Output
1 3 9 7
Input
100 100 52 50 46 56
Output
17 8 86 92
|
[
{
"input": {
"stdin": "100 100 52 50 46 56\n"
},
"output": {
"stdout": "17 8 86 92\n"
}
},
{
"input": {
"stdin": "9 9 5 5 2 1\n"
},
"output": {
"stdout": "1 3 9 7\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 500000000 500000000 500000000 500000001\n"
},
"output": {
"stdout": "250000000 249999999 750000000 750000000\n"
}
},
{
"input": {
"stdin": "47001271 53942737 7275347 1652337 33989593 48660013\n"
},
"output": {
"stdout": "0 0 33989593 48660013\n"
}
},
{
"input": {
"stdin": "5664399 63519726 1914884 13554302 2435218 44439020\n"
},
"output": {
"stdout": "697275 0 3132493 44439020\n"
}
},
{
"input": {
"stdin": "100 100 32 63 2 41\n"
},
"output": {
"stdout": "30 18 34 100\n"
}
},
{
"input": {
"stdin": "69914272 30947694 58532705 25740028 30431847 27728130\n"
},
"output": {
"stdout": "39482425 3219564 69914272 30947694\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 448240235 342677552 992352294 907572080\n"
},
"output": {
"stdout": "0 0 992352294 907572080\n"
}
},
{
"input": {
"stdin": "97253692 35192249 21833856 26094161 41611668 32149284\n"
},
"output": {
"stdout": "0 363858 45079307 35192249\n"
}
},
{
"input": {
"stdin": "4309493 76088457 2523467 46484812 909115 53662610\n"
},
"output": {
"stdout": "1887086 960803 3159847 76088457\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 286536427 579261823 230782719 575570138\n"
},
"output": {
"stdout": "171145067 291476754 401927786 867046892\n"
}
},
{
"input": {
"stdin": "36830763 28058366 30827357 20792295 11047103 20670351\n"
},
"output": {
"stdout": "25303805 7388015 36350908 28058366\n"
}
},
{
"input": {
"stdin": "41635044 16614992 36335190 11150551 30440245 13728274\n"
},
"output": {
"stdout": "11194799 2886718 41635044 16614992\n"
}
},
{
"input": {
"stdin": "100 100 20 53 6 22\n"
},
"output": {
"stdout": "6 1 33 100\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 1000000000 1000000000 1000000000 1\n"
},
"output": {
"stdout": "0 999999999 1000000000 1000000000\n"
}
},
{
"input": {
"stdin": "1000000000 500 1000 400 11 122\n"
},
"output": {
"stdout": "978 12 1022 500\n"
}
},
{
"input": {
"stdin": "85759276 82316701 8242517 1957176 10225118 547026\n"
},
"output": {
"stdout": "0 0 81800944 4376208\n"
}
},
{
"input": {
"stdin": "87453374 60940601 74141787 32143714 78082907 33553425\n"
},
"output": {
"stdout": "9370467 15367001 87453374 48920426\n"
}
},
{
"input": {
"stdin": "33417574 19362112 17938303 4013355 10231192 2596692\n"
},
"output": {
"stdout": "166200 0 33417574 8439249\n"
}
},
{
"input": {
"stdin": "6561833 24532010 2773123 457562 6225818 23724637\n"
},
"output": {
"stdout": "0 0 6225818 23724637\n"
}
},
{
"input": {
"stdin": "27087649 52123970 20327636 19640608 8481031 14569965\n"
},
"output": {
"stdout": "1644556 0 27087649 43709895\n"
}
},
{
"input": {
"stdin": "100 100 44 36 96 21\n"
},
"output": {
"stdout": "0 25 96 46\n"
}
},
{
"input": {
"stdin": "64748258 21983760 9107246 2437546 11247507 8924750\n"
},
"output": {
"stdout": "0 0 22495014 17849500\n"
}
},
{
"input": {
"stdin": "27048166 72584165 4785744 2001800 24615554 27645416\n"
},
"output": {
"stdout": "0 0 24615554 27645416\n"
}
},
{
"input": {
"stdin": "1063740 2675928 277215 2022291 204933 298547\n"
},
"output": {
"stdout": "0 1183193 1024665 2675928\n"
}
},
{
"input": {
"stdin": "61430678 95017800 11901852 27772249 25202227 87778634\n"
},
"output": {
"stdout": "0 0 25202227 87778634\n"
}
},
{
"input": {
"stdin": "71580569 68590917 4383746 13851161 9868376 8579752\n"
},
"output": {
"stdout": "0 0 71545726 62203202\n"
}
},
{
"input": {
"stdin": "100 100 16 60 42 75\n"
},
"output": {
"stdout": "0 0 56 100\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 503220555 167034539 244352073 511651840\n"
},
"output": {
"stdout": "276322201 0 730118908 950210560\n"
}
},
{
"input": {
"stdin": "63651025 50179036 16141802 24793214 28944209 13993078\n"
},
"output": {
"stdout": "0 10800136 57888418 38786292\n"
}
},
{
"input": {
"stdin": "70 10 20 5 5 3\n"
},
"output": {
"stdout": "12 0 27 9\n"
}
},
{
"input": {
"stdin": "19213492 76256257 10302871 19808004 19174729 55280126\n"
},
"output": {
"stdout": "38763 0 19213492 55280126\n"
}
},
{
"input": {
"stdin": "51396415 50182729 20810973 38206844 17823753 2905275\n"
},
"output": {
"stdout": "0 34333144 47530008 42080544\n"
}
},
{
"input": {
"stdin": "83973381 91192149 19059738 26429459 49573749 78006738\n"
},
"output": {
"stdout": "0 0 49573749 78006738\n"
}
},
{
"input": {
"stdin": "98540143 28776614 12080542 1456439 96484500 3125739\n"
},
"output": {
"stdout": "0 0 96484500 3125739\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 1000000000 1000000000 1 1\n"
},
"output": {
"stdout": "0 0 1000000000 1000000000\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 867388331 312356312 405405075 887925029\n"
},
"output": {
"stdout": "594594925 0 1000000000 887925029\n"
}
},
{
"input": {
"stdin": "99373741 10548319 82293354 9865357 58059929 5328757\n"
},
"output": {
"stdout": "41313812 5219562 99373741 10548319\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 839898171 196274842 131921537 865789406\n"
},
"output": {
"stdout": "773937402 0 905858939 865789406\n"
}
},
{
"input": {
"stdin": "100 100 56 46 1 47\n"
},
"output": {
"stdout": "55 0 57 94\n"
}
},
{
"input": {
"stdin": "71265727 62692710 12444778 3479306 21442685 5463351\n"
},
"output": {
"stdout": "0 0 64328055 16390053\n"
}
},
{
"input": {
"stdin": "100 100 48 73 63 16\n"
},
"output": {
"stdout": "16 65 79 81\n"
}
},
{
"input": {
"stdin": "100 100 13 59 14 20\n"
},
"output": {
"stdout": "0 0 70 100\n"
}
},
{
"input": {
"stdin": "11996821 42550832 8901163 19214381 3510233 20406511\n"
},
"output": {
"stdout": "4976355 0 11996821 40813022\n"
}
},
{
"input": {
"stdin": "1000000000 999999999 1000 1000 1000000000 999999999\n"
},
"output": {
"stdout": "0 0 1000000000 999999999\n"
}
},
{
"input": {
"stdin": "100 100 28 22 47 50\n"
},
"output": {
"stdout": "0 0 94 100\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 42362139 725664533 91213476 617352813\n"
},
"output": {
"stdout": "0 176862916 121617968 1000000000\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 623214043 753726318 970868535 929707704\n"
},
"output": {
"stdout": "29131465 70292296 1000000000 1000000000\n"
}
},
{
"input": {
"stdin": "75549175 99860242 42423626 6574859 73199290 26030615\n"
},
"output": {
"stdout": "2349885 0 75549175 26030615\n"
}
},
{
"input": {
"stdin": "48445042 43730155 14655564 6244917 43454856 2866363\n"
},
"output": {
"stdout": "0 4811735 43454856 7678098\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 837887296 643696230 478881476 45404539\n"
},
"output": {
"stdout": "42237048 598291691 1000000000 689100769\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 84072459 754904836 124007132 824006731\n"
},
"output": {
"stdout": "22068893 175993269 146076025 1000000000\n"
}
},
{
"input": {
"stdin": "81460 7041354 53032 1297536 41496 5748697\n"
},
"output": {
"stdout": "27916 0 78148 6958949\n"
}
},
{
"input": {
"stdin": "1000000000 1000000000 259046267 313437250 252266478 848401810\n"
},
"output": {
"stdout": "132913028 0 385179506 848401810\n"
}
},
{
"input": {
"stdin": "17818532 82586436 8482338 54895799 12444902 11112345\n"
},
"output": {
"stdout": "2259887 49339626 14704789 60451971\n"
}
},
{
"input": {
"stdin": "60300478 3471217 11842517 3192374 27980820 507119\n"
},
"output": {
"stdout": "0 2456979 55961640 3471217\n"
}
}
] |
{
"tags": [
"implementation",
"math"
],
"title": "Rectangle Puzzle II"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint gcd(int i, int j) { return i % j ? gcd(j, i % j) : j; }\nint main() {\n int n, m, x, y, a, b, u, d, l, r;\n cin >> n >> m >> x >> y >> a >> b;\n int c = gcd(a, b);\n a /= c, b /= c;\n int t = min(n / a, m / b);\n r = min(n, x + t * a / 2), l = r - t * a, u = min(m, y + t * b / 2),\n d = u - t * b;\n if (l < 0) l = 0, r = t * a;\n if (d < 0) d = 0, u = t * b;\n cout << l << ' ' << d << ' ' << r << ' ' << u;\n}\n",
"java": "import java.io.*;\nimport java.math.BigInteger;\n\npublic class Main\n{\n public static void main(String[] args) throws IOException\n {\n new Main().run();\n }\n \n BufferedReader in;\n StreamTokenizer st;\n PrintWriter out;\n\n double nextDouble() throws IOException\n {\n st.nextToken();\n return (double)st.nval;\n }\n \n String nextString() throws IOException\n {\n st.nextToken();\n return (String)st.sval;\n }\n\n int nextInt() throws IOException\n {\n st.nextToken();\n return (int)st.nval;\n }\n \n long nextLong() throws IOException\n {\n st.nextToken();\n return (long)st.nval;\n }\n\n\n void run() throws IOException\n {\n in = new BufferedReader(new InputStreamReader(System.in));\n st = new StreamTokenizer(in);\n out = new PrintWriter(new OutputStreamWriter(System.out));\n \n solve();\n out.flush();\n }\n\n void solve() throws IOException\n {\n long n = nextLong();\n long m = nextLong();\n long x = nextLong();\n long y = nextLong();\n long a = nextLong();\n long b = nextLong();\n long d = gcd(a, b);\n a /= d;\n b /= d;\n long k1 = n - (n % a);\n long k2 = (k1 * b) / a;\n long t2 = m - (m % b);\n long t1 = (t2 * a) / b;\n long resKx = -1;\n long resKy = -1;\n long resTx = -1;\n long resTy = -1;\n if (k2 <= m){\n resKx = x - ((k1 + 1) / 2);\n if (resKx < 0){\n resKx = 0;\n }\n if (resKx + k1 > n){\n resKx = n - k1;\n }\n resKy = y - ((k2 + 1) / 2);\n if (resKy < 0){\n resKy = 0;\n }\n if (resKy + k2 > m){\n resKy = m - k2;\n }\n }\n if (t1 <= n){\n resTx = x - ((t1 + 1) / 2);\n if (resTx < 0){\n resTx = 0;\n }\n if (resTx + t1 > n){\n resTx = n - t1;\n }\n resTy = y - ((t2 + 1) / 2);\n if (resTy < 0){\n resTy = 0;\n }\n if (resTy + t2 > m){\n resTy = m - t2;\n }\n }\n if (resKx == -1){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n if (resTx == -1){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (t1*t2 < k1*k2){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n if (t1*t2 > k1*k2){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n double Kxc = resKx + (k1 * 0.5);\n double Kyc = resKy + (k2 * 0.5);\n double Txc = resTx + (t1 * 0.5);\n double Tyc = resTy + (t2 * 0.5);\n if ((((Kxc - x)*(Kxc - x))+((Kyc - y)*(Kyc - y))) > (((Txc - x)*(Txc - x))+((Tyc - y)*(Tyc - y)))){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n if ((((Kxc - x)*(Kxc - x))+((Kyc - y)*(Kyc - y))) < (((Txc - x)*(Txc - x))+((Tyc - y)*(Tyc - y)))){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (resKx < resTx){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (resKx > resTx){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n if (resKx < resTx){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (resKx > resTx){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n\n if (resKy < resTy){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (resKy > resTy){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n if (resKx + k1 < resTx + t1){\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n return;\n }\n if (resKx + k1 > resTx + t1){\n out.print(resTx + \" \" + resTy + \" \" + (resTx + t1) + \" \" + (resTy + t2));\n return;\n }\n out.print(resKx + \" \" + resKy + \" \" + (resKx + k1) + \" \" + (resKy + k2));\n }\n \n long gcd(long a, long b) {\n while (b != 0) {\n long t = b;\n b = a % b;\n a = t;\n }\n return Math.abs(a);\n }\n \n}",
"python": "\ndef gcd(p,q):\n\tif(q==0):\n\t\treturn p\n\telse:\n\t\treturn gcd(q,p%q)\nn,m,x,y,a,b=map(int,raw_input().split())\nt=gcd(a,b)\na/=t\nb/=t\nk=n/a\nl=m/b\nsz=min(k,l)\na*=sz\nb*=sz\nlft=x-(a-a/2)\nbt=y-(b-b/2)\nif(lft<0):\n\tlft=0\nif(bt<0):\n\tbt=0\nif(lft+a>n):\n\tlft=n-a\nif(bt+b>m):\n\tbt=m-b\nprint lft,bt,lft+a,bt+b\n"
}
|
|
|
# Graph Reconstruction
I have an undirected graph consisting of n nodes, numbered 1 through n. Each node has at most two incident edges. For each pair of nodes, there is at most an edge connecting them. No edge connects a node to itself.
I would like to create a new graph in such a way that:
* The new graph consists of the same number of nodes and edges as the old graph.
* The properties in the first paragraph still hold.
* For each two nodes u and v, if there is an edge connecting them in the old graph, there is no edge connecting them in the new graph.
Help me construct the new graph, or tell me if it is impossible.
Input
The first line consists of two space-separated integers: n and m (1 ≤ m ≤ n ≤ 105), denoting the number of nodes and edges, respectively. Then m lines follow. Each of the m lines consists of two space-separated integers u and v (1 ≤ u, v ≤ n; u ≠ v), denoting an edge between nodes u and v.
Output
If it is not possible to construct a new graph with the mentioned properties, output a single line consisting of -1. Otherwise, output exactly m lines. Each line should contain a description of edge in the same way as used in the input format.
Examples
Input
8 7
1 2
2 3
4 5
5 6
6 8
8 7
7 4
Output
1 4
4 6
1 6
2 7
7 5
8 5
2 8
Input
3 2
1 2
2 3
Output
-1
Input
5 4
1 2
2 3
3 4
4 1
Output
1 3
3 5
5 2
2 4
Note
The old graph of the first example:
<image>
A possible new graph for the first example:
<image>
In the second example, we cannot create any new graph.
The old graph of the third example:
<image>
A possible new graph for the third example:
<image>
|
[
{
"input": {
"stdin": "8 7\n1 2\n2 3\n4 5\n5 6\n6 8\n8 7\n7 4\n"
},
"output": {
"stdout": "4 3\n3 7\n7 6\n6 1\n1 5\n5 2\n2 8\n"
}
},
{
"input": {
"stdin": "5 4\n1 2\n2 3\n3 4\n4 1\n"
},
"output": {
"stdout": "1 3\n3 5\n5 4\n4 2\n"
}
},
{
"input": {
"stdin": "3 2\n1 2\n2 3\n"
},
"output": {
"stdout": "-1"
}
},
{
"input": {
"stdin": "5 4\n4 2\n2 5\n1 5\n1 4\n"
},
"output": {
"stdout": "4 5\n5 3\n3 1\n1 2\n"
}
},
{
"input": {
"stdin": "6 6\n5 1\n3 1\n4 3\n4 6\n2 6\n5 2\n"
},
"output": {
"stdout": "4 1\n1 6\n6 5\n5 3\n3 2\n2 4\n"
}
},
{
"input": {
"stdin": "6 5\n6 3\n4 1\n2 1\n2 5\n4 5\n"
},
"output": {
"stdout": "2 6\n6 4\n4 3\n3 1\n1 5\n"
}
},
{
"input": {
"stdin": "7 5\n2 4\n7 5\n3 1\n3 6\n1 6\n"
},
"output": {
"stdout": "5 3\n3 7\n7 2\n2 6\n6 4\n"
}
},
{
"input": {
"stdin": "2 1\n1 2\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "6 3\n6 3\n6 4\n5 4\n"
},
"output": {
"stdout": "5 3\n3 2\n2 1\n"
}
},
{
"input": {
"stdin": "5 3\n5 1\n3 5\n4 3\n"
},
"output": {
"stdout": "5 4\n4 1\n1 3\n"
}
},
{
"input": {
"stdin": "6 5\n5 4\n5 6\n6 1\n3 1\n3 4\n"
},
"output": {
"stdout": "5 3\n3 6\n6 2\n2 4\n4 1\n"
}
},
{
"input": {
"stdin": "6 3\n3 4\n6 1\n5 1\n"
},
"output": {
"stdout": "5 3\n3 2\n2 1\n"
}
},
{
"input": {
"stdin": "4 2\n4 2\n3 1\n"
},
"output": {
"stdout": "1 4\n4 3\n"
}
},
{
"input": {
"stdin": "7 6\n7 1\n7 6\n4 2\n5 2\n5 3\n4 3\n"
},
"output": {
"stdout": "6 2\n2 3\n3 7\n7 4\n4 5\n5 1\n"
}
},
{
"input": {
"stdin": "7 5\n1 5\n7 2\n3 7\n4 3\n4 6\n"
},
"output": {
"stdout": "3 5\n5 4\n4 2\n2 1\n1 7\n"
}
},
{
"input": {
"stdin": "30 29\n23 9\n23 6\n6 4\n4 22\n5 22\n5 10\n10 1\n14 1\n14 15\n2 15\n20 2\n20 30\n9 30\n29 21\n21 3\n3 25\n25 18\n18 27\n16 27\n16 29\n28 24\n28 11\n11 7\n7 17\n17 8\n8 26\n13 26\n19 13\n24 19\n"
},
"output": {
"stdout": "29 24\n24 17\n17 1\n1 3\n3 11\n11 8\n8 19\n19 12\n12 15\n15 10\n10 28\n28 20\n20 18\n18 2\n2 26\n26 14\n14 7\n7 22\n22 27\n27 23\n23 30\n30 6\n6 9\n9 21\n21 5\n5 25\n25 4\n4 13\n13 16\n"
}
},
{
"input": {
"stdin": "6 4\n6 5\n2 3\n2 1\n4 1\n"
},
"output": {
"stdout": "2 6\n6 4\n4 3\n3 1\n"
}
},
{
"input": {
"stdin": "6 4\n6 5\n4 5\n2 1\n3 2\n"
},
"output": {
"stdout": "2 6\n6 4\n4 3\n3 1\n"
}
},
{
"input": {
"stdin": "7 4\n6 1\n4 7\n2 5\n3 5\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n"
}
},
{
"input": {
"stdin": "3 3\n1 3\n2 1\n2 3\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "4 2\n1 3\n1 4\n"
},
"output": {
"stdout": "1 2\n2 4\n"
}
},
{
"input": {
"stdin": "3 2\n3 1\n2 3\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "7 4\n5 4\n3 1\n1 2\n2 7\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n"
}
},
{
"input": {
"stdin": "7 5\n3 1\n5 4\n5 6\n2 6\n4 2\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n2 5\n"
}
},
{
"input": {
"stdin": "5 3\n2 4\n3 5\n3 1\n"
},
"output": {
"stdout": "2 3\n3 4\n4 5\n"
}
},
{
"input": {
"stdin": "11 11\n10 9\n11 10\n5 11\n5 7\n6 7\n3 6\n2 3\n2 9\n4 8\n1 8\n1 4\n"
},
"output": {
"stdout": "7 3\n3 8\n8 10\n10 5\n5 2\n2 11\n11 4\n4 6\n6 9\n9 1\n1 7\n"
}
},
{
"input": {
"stdin": "65 55\n54 57\n33 10\n58 33\n26 38\n22 38\n50 22\n47 32\n32 65\n65 55\n55 42\n6 62\n3 62\n56 3\n56 37\n19 37\n1 61\n21 1\n39 21\n39 40\n20 40\n20 29\n18 53\n9 53\n2 9\n2 24\n25 24\n60 25\n60 43\n13 51\n13 59\n59 23\n7 23\n7 17\n5 17\n5 36\n30 36\n45 28\n28 64\n64 63\n63 8\n35 8\n46 35\n46 48\n31 48\n31 12\n44 52\n49 44\n11 49\n27 11\n15 27\n15 16\n16 41\n41 34\n14 34\n14 4\n"
},
"output": {
"stdout": "36 6\n6 7\n7 26\n26 33\n33 41\n41 2\n2 59\n59 56\n56 34\n34 11\n11 24\n24 9\n9 12\n12 58\n58 28\n28 31\n31 10\n10 19\n19 64\n64 22\n22 20\n20 46\n46 1\n1 54\n54 29\n29 61\n61 13\n13 60\n60 32\n32 18\n18 27\n27 14\n14 53\n53 44\n44 62\n62 40\n40 3\n3 17\n17 15\n15 39\n39 4\n4 57\n57 55\n55 50\n50 25\n25 65\n65 42\n42 52\n52 63\n63 45\n45 47\n47 16\n16 38\n38 35\n35 37\n"
}
},
{
"input": {
"stdin": "5 2\n4 1\n5 2\n"
},
"output": {
"stdout": "4 5\n5 3\n"
}
},
{
"input": {
"stdin": "7 3\n5 1\n3 7\n2 4\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n"
}
},
{
"input": {
"stdin": "6 2\n2 4\n5 1\n"
},
"output": {
"stdout": "5 3\n3 2\n"
}
},
{
"input": {
"stdin": "7 4\n3 6\n6 2\n7 2\n7 3\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n"
}
},
{
"input": {
"stdin": "6 4\n2 4\n2 1\n1 3\n4 3\n"
},
"output": {
"stdout": "4 6\n6 5\n5 3\n3 2\n"
}
},
{
"input": {
"stdin": "7 2\n1 2\n4 2\n"
},
"output": {
"stdout": "5 3\n3 7\n"
}
},
{
"input": {
"stdin": "7 5\n4 5\n1 5\n7 1\n3 7\n4 3\n"
},
"output": {
"stdout": "7 5\n5 3\n3 6\n6 4\n4 1\n"
}
},
{
"input": {
"stdin": "8 6\n5 4\n1 4\n1 7\n7 8\n6 8\n6 5\n"
},
"output": {
"stdout": "4 3\n3 7\n7 6\n6 1\n1 5\n5 2\n"
}
},
{
"input": {
"stdin": "30 30\n28 29\n28 6\n29 6\n15 25\n15 19\n25 19\n11 9\n11 30\n9 30\n4 7\n10 7\n10 4\n23 5\n23 12\n5 12\n13 24\n13 21\n21 24\n3 17\n3 22\n22 17\n16 18\n1 18\n1 16\n27 2\n20 27\n2 20\n14 8\n14 26\n8 26\n"
},
"output": {
"stdout": "10 28\n28 7\n7 5\n5 29\n29 19\n19 20\n20 22\n22 23\n23 17\n17 8\n8 4\n4 15\n15 26\n26 3\n3 21\n21 12\n12 16\n16 9\n9 14\n14 27\n27 11\n11 13\n13 1\n1 24\n24 2\n2 18\n18 25\n25 6\n6 30\n30 10\n"
}
},
{
"input": {
"stdin": "7 5\n5 3\n3 7\n6 1\n2 1\n2 4\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n2 5\n"
}
},
{
"input": {
"stdin": "6 3\n5 6\n4 2\n3 1\n"
},
"output": {
"stdout": "5 3\n3 2\n2 1\n"
}
},
{
"input": {
"stdin": "5 3\n4 5\n3 4\n3 5\n"
},
"output": {
"stdout": "3 1\n1 4\n4 2\n"
}
},
{
"input": {
"stdin": "7 6\n2 4\n2 1\n4 1\n3 6\n7 6\n3 7\n"
},
"output": {
"stdout": "7 4\n4 3\n3 1\n1 6\n6 5\n5 2\n"
}
},
{
"input": {
"stdin": "6 5\n6 5\n6 1\n4 1\n3 4\n2 3\n"
},
"output": {
"stdout": "4 5\n5 3\n3 1\n1 2\n2 6\n"
}
},
{
"input": {
"stdin": "8 6\n4 2\n2 6\n6 5\n1 5\n1 8\n3 7\n"
},
"output": {
"stdout": "1 7\n7 4\n4 3\n3 5\n5 8\n8 2\n"
}
},
{
"input": {
"stdin": "7 5\n1 7\n2 1\n6 4\n6 5\n5 4\n"
},
"output": {
"stdout": "6 7\n7 2\n2 4\n4 3\n3 5\n"
}
},
{
"input": {
"stdin": "6 5\n6 4\n2 6\n1 5\n3 1\n5 3\n"
},
"output": {
"stdout": "2 5\n5 6\n6 3\n3 4\n4 1\n"
}
},
{
"input": {
"stdin": "11 9\n9 3\n9 6\n4 6\n4 8\n8 5\n5 7\n7 10\n11 2\n1 2\n"
},
"output": {
"stdout": "9 4\n4 7\n7 11\n11 8\n8 2\n2 3\n3 10\n10 5\n5 6\n"
}
},
{
"input": {
"stdin": "20 12\n18 8\n7 4\n4 9\n9 3\n12 3\n12 10\n16 10\n14 17\n17 1\n19 1\n11 19\n15 6\n"
},
"output": {
"stdout": "4 12\n12 18\n18 11\n11 15\n15 14\n14 7\n7 2\n2 17\n17 20\n20 13\n13 10\n10 5\n"
}
},
{
"input": {
"stdin": "6 4\n5 1\n5 2\n2 4\n4 3\n"
},
"output": {
"stdout": "5 3\n3 2\n2 1\n1 6\n"
}
},
{
"input": {
"stdin": "5 4\n5 2\n3 2\n3 1\n1 4\n"
},
"output": {
"stdout": "2 1\n1 5\n5 3\n3 4\n"
}
},
{
"input": {
"stdin": "7 3\n6 3\n5 3\n5 7\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n"
}
},
{
"input": {
"stdin": "7 1\n5 3\n"
},
"output": {
"stdout": "7 6\n"
}
},
{
"input": {
"stdin": "7 3\n6 3\n4 5\n5 1\n"
},
"output": {
"stdout": "5 3\n3 7\n7 2\n"
}
},
{
"input": {
"stdin": "7 6\n3 1\n5 1\n5 2\n2 7\n4 7\n4 3\n"
},
"output": {
"stdout": "7 5\n5 3\n3 6\n6 4\n4 1\n1 2\n"
}
},
{
"input": {
"stdin": "4 3\n4 1\n3 4\n3 2\n"
},
"output": {
"stdout": "3 1\n1 2\n2 4\n"
}
},
{
"input": {
"stdin": "4 4\n1 4\n1 2\n2 3\n3 4\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "7 7\n3 6\n3 1\n1 6\n2 7\n7 4\n5 4\n5 2\n"
},
"output": {
"stdout": "2 6\n6 5\n5 7\n7 1\n1 4\n4 3\n3 2\n"
}
},
{
"input": {
"stdin": "4 1\n1 3\n"
},
"output": {
"stdout": "1 4\n"
}
},
{
"input": {
"stdin": "7 2\n7 3\n2 1\n"
},
"output": {
"stdout": "7 6\n6 4\n"
}
},
{
"input": {
"stdin": "5 2\n2 1\n5 2\n"
},
"output": {
"stdout": "5 4\n4 1\n"
}
},
{
"input": {
"stdin": "8 6\n2 7\n3 7\n3 8\n8 5\n5 6\n1 4\n"
},
"output": {
"stdout": "2 1\n1 6\n6 3\n3 5\n5 7\n7 8\n"
}
},
{
"input": {
"stdin": "6 4\n1 3\n2 6\n6 4\n4 2\n"
},
"output": {
"stdout": "5 3\n3 2\n2 1\n1 6\n"
}
},
{
"input": {
"stdin": "7 5\n5 7\n6 7\n4 6\n4 3\n3 1\n"
},
"output": {
"stdout": "3 5\n5 4\n4 2\n2 1\n1 7\n"
}
},
{
"input": {
"stdin": "5 5\n5 4\n1 5\n2 1\n3 2\n3 4\n"
},
"output": {
"stdout": "3 1\n1 4\n4 2\n2 5\n5 3\n"
}
},
{
"input": {
"stdin": "9 7\n9 8\n1 2\n1 3\n3 7\n7 6\n6 2\n5 4\n"
},
"output": {
"stdout": "6 9\n9 7\n7 2\n2 3\n3 5\n5 1\n1 8\n"
}
},
{
"input": {
"stdin": "5 4\n5 2\n3 4\n4 1\n3 1\n"
},
"output": {
"stdout": "4 5\n5 3\n3 2\n2 1\n"
}
},
{
"input": {
"stdin": "20 10\n5 14\n17 20\n12 8\n7 10\n19 1\n3 11\n15 13\n16 18\n6 9\n2 4\n"
},
"output": {
"stdout": "15 14\n14 8\n8 5\n5 1\n1 17\n17 10\n10 13\n13 3\n3 20\n20 11\n"
}
},
{
"input": {
"stdin": "6 6\n1 4\n1 2\n4 2\n3 5\n3 6\n5 6\n"
},
"output": {
"stdout": "2 6\n6 4\n4 3\n3 1\n1 5\n5 2\n"
}
},
{
"input": {
"stdin": "8 8\n7 3\n3 5\n5 1\n1 4\n7 4\n6 8\n8 2\n2 6\n"
},
"output": {
"stdout": "5 7\n7 1\n1 2\n2 4\n4 8\n8 3\n3 6\n6 5\n"
}
},
{
"input": {
"stdin": "7 6\n4 6\n6 7\n4 7\n3 5\n2 5\n1 2\n"
},
"output": {
"stdout": "3 4\n4 1\n1 7\n7 2\n2 6\n6 5\n"
}
},
{
"input": {
"stdin": "7 6\n4 5\n1 2\n6 2\n6 3\n7 3\n7 1\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n2 5\n5 1\n"
}
},
{
"input": {
"stdin": "7 4\n5 4\n2 6\n2 3\n6 3\n"
},
"output": {
"stdout": "3 4\n4 1\n1 7\n7 2\n"
}
},
{
"input": {
"stdin": "6 2\n5 1\n5 2\n"
},
"output": {
"stdout": "5 3\n3 2\n"
}
},
{
"input": {
"stdin": "30 20\n13 16\n2 13\n25 26\n26 22\n20 23\n11 23\n8 4\n8 10\n21 15\n15 1\n3 6\n6 24\n9 17\n30 9\n27 7\n28 27\n18 5\n19 18\n29 14\n14 12\n"
},
"output": {
"stdout": "29 24\n24 17\n17 1\n1 3\n3 11\n11 8\n8 19\n19 12\n12 15\n15 10\n10 28\n28 20\n20 18\n18 2\n2 26\n26 14\n14 7\n7 22\n22 27\n27 23\n"
}
},
{
"input": {
"stdin": "8 5\n3 4\n6 4\n6 8\n5 8\n1 5\n"
},
"output": {
"stdout": "1 4\n4 2\n2 7\n7 5\n5 3\n"
}
},
{
"input": {
"stdin": "6 3\n1 6\n1 2\n2 6\n"
},
"output": {
"stdout": "4 6\n6 5\n5 3\n"
}
},
{
"input": {
"stdin": "3 1\n2 1\n"
},
"output": {
"stdout": "3 1\n"
}
},
{
"input": {
"stdin": "4 3\n4 1\n3 4\n1 3\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "5 1\n2 1\n"
},
"output": {
"stdout": "5 4\n"
}
},
{
"input": {
"stdin": "7 4\n1 5\n3 5\n2 7\n7 4\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n"
}
},
{
"input": {
"stdin": "40 37\n11 17\n39 11\n39 9\n26 9\n32 26\n25 32\n22 25\n18 22\n5 18\n8 5\n1 8\n23 1\n23 27\n37 27\n37 40\n40 14\n34 14\n34 7\n12 7\n15 12\n15 21\n21 6\n6 30\n30 36\n17 36\n29 16\n16 35\n24 35\n24 31\n3 31\n3 13\n4 20\n4 33\n19 38\n38 10\n10 19\n28 2\n"
},
"output": {
"stdout": "38 35\n35 23\n23 13\n13 10\n10 40\n40 20\n20 3\n3 30\n30 16\n16 34\n34 11\n11 25\n25 17\n17 5\n5 27\n27 21\n21 14\n14 9\n9 37\n37 2\n2 6\n6 15\n15 26\n26 29\n29 12\n12 32\n32 28\n28 18\n18 31\n31 33\n33 24\n24 1\n1 7\n7 8\n8 39\n39 22\n22 4\n"
}
},
{
"input": {
"stdin": "6 1\n1 6\n"
},
"output": {
"stdout": "5 3\n"
}
},
{
"input": {
"stdin": "7 3\n5 3\n5 1\n1 3\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n"
}
},
{
"input": {
"stdin": "7 4\n5 6\n6 2\n7 2\n7 4\n"
},
"output": {
"stdout": "7 6\n6 4\n4 3\n3 2\n"
}
}
] |
{
"tags": [
"constructive algorithms"
],
"title": "Graph Reconstruction"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nusing ll = long long;\ntemplate <typename A, typename B = A>\nusing pr = pair<A, B>;\nmt19937 rng(chrono::steady_clock::now().time_since_epoch().count());\ninline pr<int> mp(int a, int b) {\n if (a > b) swap(a, b);\n return {a, b};\n}\nint main() {\n ios::sync_with_stdio(false), cin.tie(nullptr);\n int n, m;\n cin >> n >> m;\n set<pr<int>> edges;\n for (int i = 0; i < m; i++) {\n int a, b;\n cin >> a >> b;\n edges.insert(mp(a, b));\n }\n vector<int> ord(n);\n iota((ord).begin(), (ord).end(), 1);\n while (double(clock()) / CLOCKS_PER_SEC < 1.3) {\n shuffle((ord).begin(), (ord).end(), rng);\n bool ok = true;\n for (int i = 0; i < m && ok; i++)\n ok &= !edges.count(mp(ord[i], ord[(i + 1) % n]));\n if (ok) {\n for (int i = 0; i < m; i++)\n cout << ord[i] << ' ' << ord[(i + 1) % n] << '\\n';\n return 0;\n }\n }\n cout << \"-1\\n\";\n}\n",
"java": "import java.util.*;\nimport java.io.*;\npublic class a {\n static long mod = 1000000007;\npublic static void main(String[] args) throws IOException\n{\n //Scanner input = new Scanner(new File(\"input.txt\"));\n //PrintWriter out = new PrintWriter(new File(\"output.txt\"));\n \n \n input.init(System.in);\n PrintWriter out = new PrintWriter((System.out));\n \n int n = input.nextInt(), m = input.nextInt();\n ArrayList<Integer>[] g = new ArrayList[n];\n for(int i = 0; i<n; i++) g[i] = new ArrayList<Integer>();\n for(int i = 0; i<m; i++)\n {\n int a = input.nextInt()-1, b = input.nextInt()-1;\n g[a].add(b);\n g[b].add(a);\n }\n int[] data = new int[n];\n for(int i = 0; i<n; i++) data[i] = i;\n Random r = new Random();\n boolean found = false;\n for(int i = 0; i<10000000/n; i++)\n {\n for(int j = 0; j<n; j++)\n {\n int a = r.nextInt(n), b = r.nextInt(n);\n int temp = data[a];\n data[a] = data[b];\n data[b] = temp;\n }\n int count = 0;\n boolean[] valid = new boolean[n];\n for(int j =0; j<n; j++)\n {\n int to = data[j], from = data[((j+1)%n)];\n if(!g[to].contains(from))\n {\n valid[j] = true;\n count++;\n }\n }\n if(count < m) continue;\n found = true;\n int x = 0;\n for(int j = 0; j<n; j++)\n {\n if(valid[j]&& x<m) {x++;out.println((data[j]+1)+\" \"+(data[(j+1)%n]+1));}\n }\n \n break;\n }\n if(!found) out.println(-1);\n out.close();\n}\npublic static long[] gcd(long p, long q)\n{\n if(q==0)\n return new long[] {p, 1, 0};\n long[] vals = gcd(q, p%q);\n return new long[] {vals[0], vals[2], vals[1] - (p/q)*vals[2]};\n}\nstatic long pow (long a, long p)\n{\n if(p==0) return 1;\n if((p&1) == 0)\n {\n long sqrt = pow(a, p/2);\n return (sqrt*sqrt)%mod;\n }\n return (a*pow(a,p-1))%mod;\n}\nstatic class input {\n static BufferedReader reader;\n static StringTokenizer tokenizer;\n\n /** call this method to initialize reader for InputStream */\n static void init(InputStream input) {\n reader = new BufferedReader(\n new InputStreamReader(input) );\n tokenizer = new StringTokenizer(\"\");\n }\n\n /** get next word */\n static String next() throws IOException {\n while ( ! tokenizer.hasMoreTokens() ) {\n //TODO add check for eof if necessary\n tokenizer = new StringTokenizer(\n reader.readLine() );\n }\n return tokenizer.nextToken();\n }\n\n static int nextInt() throws IOException {\n return Integer.parseInt( next() );\n }\n \n static double nextDouble() throws IOException {\n return Double.parseDouble( next() );\n }\n static long nextLong() throws IOException {\n return Long.parseLong( next() );\n }\n static String nextLine() throws IOException {\n return reader.readLine();\n }\n}\npublic static int oo = 987654321;\npublic static ArrayList<Integer>[] g;\npublic static int a, b, x; \npublic static int [] match, dist;\npublic static boolean bfs() \n{\n Queue<Integer> q = new LinkedList<Integer>();\n for(int i=0; i<a; i++) \n {\n if(match[i]==-1) \n {\n dist[i] = 0;\n q.add(i);\n }\n else dist[i] = oo;\n }\n boolean found = false;\n while(!q.isEmpty()) \n {\n int u = q.poll();\n if(u!=-1) \n {\n int len = g[u].size();\n for(int i=0; i<len; i++) \n {\n int v = g[u].get(i);\n if(match[v] == -1)\n {\n found = true;\n x = dist[u] + 1;\n }\n else if(dist[match[v]]==oo) \n {\n dist[match[v]] = dist[u] + 1;\n q.add(match[v]);\n }\n }\n }\n }\n return found;\n}\n \npublic static boolean dfs(int u) \n{\n if(u==-1)\n return true;\n for(int i=0; i<g[u].size(); i++)\n {\n int v = g[u].get(i);\n int d = match[v] > -1 ? dist[match[v]] : x;\n if(d==dist[u]+1 && dfs(match[v])) \n {\n match[v] = u;\n match[u] = v;\n return true;\n }\n }\n dist[u] = oo;\n return false;\n}\npublic static int hopcroft_karp(int n, int m) \n{\n a = n; b = m;\n int res = 0;\n match = new int[a+b];\n dist = new int[a+b];\n Arrays.fill(match, -1);\n while(bfs())\n for(int i=0; i<a; i++)\n if(match[i]==-1 && dfs(i))\n res++;\n return res;\n}\n}",
"python": "import random\ns = raw_input().split()\n\nn = int(s[0])\nm = int(s[1])\n\ngraf = set([])\n\nfor i in xrange(m):\n s = raw_input().split()\n u = int(s[0])\n v = int(s[1])\n graf.add((u,v))\n \n #print graf\nif m*4>n*(n-1):\n print -1\nelse:\n edges = 0\n tries = 0\n listv = range(1,n+1)\n while edges < m:\n tries += 1\n if (tries > 10000):\n break\n edges = 0\n\n random.shuffle(listv)\n for i in xrange(m):\n u = listv[i-1]\n v = listv[i]\n edges = i+1\n if ((u,v) in graf) or ((v,u) in graf):\n edges = 0\n break\n\n if (tries > 10000):\n print -1\n else:\n for i in xrange(m):\n print listv[i-1], listv[i]\n \n\n\n \n\n\n\n\n"
}
|
|
|
# Jeff and Rounding
Jeff got 2n real numbers a1, a2, ..., a2n as a birthday present. The boy hates non-integer numbers, so he decided to slightly "adjust" the numbers he's got. Namely, Jeff consecutively executes n operations, each of them goes as follows:
* choose indexes i and j (i ≠ j) that haven't been chosen yet;
* round element ai to the nearest integer that isn't more than ai (assign to ai: ⌊ ai ⌋);
* round element aj to the nearest integer that isn't less than aj (assign to aj: ⌈ aj ⌉).
Nevertheless, Jeff doesn't want to hurt the feelings of the person who gave him the sequence. That's why the boy wants to perform the operations so as to make the absolute value of the difference between the sum of elements before performing the operations and the sum of elements after performing the operations as small as possible. Help Jeff find the minimum absolute value of the difference.
Input
The first line contains integer n (1 ≤ n ≤ 2000). The next line contains 2n real numbers a1, a2, ..., a2n (0 ≤ ai ≤ 10000), given with exactly three digits after the decimal point. The numbers are separated by spaces.
Output
In a single line print a single real number — the required difference with exactly three digits after the decimal point.
Examples
Input
3
0.000 0.500 0.750 1.000 2.000 3.000
Output
0.250
Input
3
4469.000 6526.000 4864.000 9356.383 7490.000 995.896
Output
0.279
Note
In the first test case you need to perform the operations as follows: (i = 1, j = 4), (i = 2, j = 3), (i = 5, j = 6). In this case, the difference will equal |(0 + 0.5 + 0.75 + 1 + 2 + 3) - (0 + 0 + 1 + 1 + 2 + 3)| = 0.25.
|
[
{
"input": {
"stdin": "3\n0.000 0.500 0.750 1.000 2.000 3.000\n"
},
"output": {
"stdout": "0.250\n"
}
},
{
"input": {
"stdin": "3\n4469.000 6526.000 4864.000 9356.383 7490.000 995.896\n"
},
"output": {
"stdout": "0.279\n"
}
},
{
"input": {
"stdin": "10\n8003.867 4368.000 2243.298 3340.000 5384.489 1036.000 3506.115 4463.317 1477.000 2420.314 9391.186 1696.000 5857.833 244.314 8220.000 5879.647 5424.482 2631.000 7111.130 9157.536\n"
},
"output": {
"stdout": "0.472\n"
}
},
{
"input": {
"stdin": "1\n1.100 1.200\n"
},
"output": {
"stdout": "0.700\n"
}
},
{
"input": {
"stdin": "2\n950.000 8019.170 3179.479 9482.963\n"
},
"output": {
"stdout": "0.388\n"
}
},
{
"input": {
"stdin": "3\n673.674 9263.142 6780.000 9801.000 4640.000 8244.000\n"
},
"output": {
"stdout": "0.184\n"
}
},
{
"input": {
"stdin": "3\n6470.000 8295.000 8486.000 9855.000 223.000 579.549\n"
},
"output": {
"stdout": "0.451\n"
}
},
{
"input": {
"stdin": "2\n0.001 0.001 0.001 0.001\n"
},
"output": {
"stdout": "1.996\n"
}
},
{
"input": {
"stdin": "1\n0.061 0.330\n"
},
"output": {
"stdout": "0.609\n"
}
},
{
"input": {
"stdin": "1\n6418.669 157.986\n"
},
"output": {
"stdout": "0.655\n"
}
},
{
"input": {
"stdin": "7\n223.999 322.000 677.000 3852.477 2568.390 2410.000 3202.511 2122.870 1566.000 8841.000 8176.424 74.586 3834.000 6847.427\n"
},
"output": {
"stdout": "0.316\n"
}
},
{
"input": {
"stdin": "9\n5528.000 205.000 5245.000 8832.000 385.000 7126.000 3988.538 9542.484 3044.000 5288.351 9342.000 9979.000 7096.000 5159.000 9400.000 4996.000 1698.000 5403.000\n"
},
"output": {
"stdout": "0.373\n"
}
},
{
"input": {
"stdin": "7\n2341.538 9232.119 6646.930 9316.834 5684.000 9078.705 7773.000 3823.674 6357.022 9866.925 310.271 6554.778 8341.098 8407.987\n"
},
"output": {
"stdout": "0.119\n"
}
},
{
"input": {
"stdin": "7\n223.000 322.652 677.700 3852.000 2568.390 2410.713 3202.511 2122.870 1566.689 8841.790 8176.424 74.586 3834.000 6847.000\n"
},
"output": {
"stdout": "0.325\n"
}
},
{
"input": {
"stdin": "4\n0.999 0.999 0.999 0.999 0.999 0.999 0.000 0.000\n"
},
"output": {
"stdout": "1.994\n"
}
},
{
"input": {
"stdin": "3\n4469.437 6526.605 4864.154 9356.383 7490.717 995.896\n"
},
"output": {
"stdout": "0.192\n"
}
},
{
"input": {
"stdin": "1\n0.900 0.900\n"
},
"output": {
"stdout": "0.800\n"
}
},
{
"input": {
"stdin": "5\n0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.001\n"
},
"output": {
"stdout": "4.990\n"
}
},
{
"input": {
"stdin": "7\n2341.000 9232.000 6646.000 9316.000 5684.000 9078.000 7773.978 3823.000 6357.000 9866.000 310.000 6554.000 8341.000 8407.987\n"
},
"output": {
"stdout": "0.035\n"
}
},
{
"input": {
"stdin": "5\n4103.000 6413.459 1796.000 3486.799 9011.590 5564.000 9044.473 5922.000 3350.039 3746.000\n"
},
"output": {
"stdout": "0.360\n"
}
},
{
"input": {
"stdin": "2\n0.200 0.200 0.200 0.200\n"
},
"output": {
"stdout": "1.200\n"
}
},
{
"input": {
"stdin": "9\n5528.000 205.031 5245.169 8832.592 385.656 7126.360 3988.000 9542.000 3044.042 5288.351 9342.000 9979.021 7096.000 5159.200 9400.000 4996.735 1698.000 5403.939\n"
},
"output": {
"stdout": "0.096\n"
}
},
{
"input": {
"stdin": "3\n673.000 9263.000 6780.254 9801.548 4640.663 8244.038\n"
},
"output": {
"stdout": "0.497\n"
}
},
{
"input": {
"stdin": "10\n8003.000 4368.194 2243.000 3340.287 5384.000 1036.456 3506.000 4463.000 1477.787 2420.000 9391.000 1696.913 5857.000 244.000 8220.322 5879.000 5424.000 2631.197 7111.000 9157.000\n"
},
"output": {
"stdout": "0.156\n"
}
},
{
"input": {
"stdin": "7\n2341.538 9232.119 6646.930 9316.834 5684.640 9078.705 7773.000 3823.674 6357.022 9866.925 310.271 6554.778 8341.098 8407.000\n"
},
"output": {
"stdout": "0.466\n"
}
},
{
"input": {
"stdin": "3\n6470.649 8295.000 8486.000 9855.000 223.000 579.549\n"
},
"output": {
"stdout": "0.198\n"
}
},
{
"input": {
"stdin": "1\n6418.000 157.986\n"
},
"output": {
"stdout": "0.014\n"
}
},
{
"input": {
"stdin": "10\n0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900\n"
},
"output": {
"stdout": "8.000\n"
}
},
{
"input": {
"stdin": "3\n6470.649 8295.806 8486.730 9855.351 223.102 579.000\n"
},
"output": {
"stdout": "0.362\n"
}
},
{
"input": {
"stdin": "2\n0.999 0.999 0.999 0.999\n"
},
"output": {
"stdout": "1.996\n"
}
},
{
"input": {
"stdin": "3\n4469.000 6526.000 4864.000 9356.000 7490.000 995.000\n"
},
"output": {
"stdout": "0.000\n"
}
},
{
"input": {
"stdin": "7\n223.999 322.000 677.000 3852.477 2568.000 2410.000 3202.000 2122.000 1566.000 8841.000 8176.000 74.000 3834.286 6847.427\n"
},
"output": {
"stdout": "0.189\n"
}
},
{
"input": {
"stdin": "10\n8003.867 4368.000 2243.000 3340.287 5384.000 1036.456 3506.000 4463.000 1477.000 2420.314 9391.000 1696.000 5857.833 244.000 8220.000 5879.000 5424.482 2631.197 7111.000 9157.536\n"
},
"output": {
"stdout": "0.028\n"
}
},
{
"input": {
"stdin": "1\n0.001 0.001\n"
},
"output": {
"stdout": "0.998\n"
}
},
{
"input": {
"stdin": "9\n5528.947 205.031 5245.169 8832.592 385.656 7126.360 3988.000 9542.000 3044.042 5288.000 9342.837 9979.021 7096.022 5159.200 9400.485 4996.735 1698.000 5403.939\n"
},
"output": {
"stdout": "0.036\n"
}
},
{
"input": {
"stdin": "2\n950.335 8019.000 3179.000 9482.000\n"
},
"output": {
"stdout": "0.335\n"
}
},
{
"input": {
"stdin": "5\n4103.449 6413.000 1796.581 3486.000 9011.000 5564.010 9044.000 5922.539 3350.000 3746.191\n"
},
"output": {
"stdout": "0.230\n"
}
},
{
"input": {
"stdin": "3\n0.900 0.900 0.900 0.900 0.900 0.000\n"
},
"output": {
"stdout": "1.500\n"
}
},
{
"input": {
"stdin": "2\n0.100 0.100 0.100 0.100\n"
},
"output": {
"stdout": "1.600\n"
}
},
{
"input": {
"stdin": "1\n6418.000 157.000\n"
},
"output": {
"stdout": "0.000\n"
}
},
{
"input": {
"stdin": "5\n4103.000 6413.459 1796.000 3486.000 9011.000 5564.000 9044.000 5922.539 3350.039 3746.000\n"
},
"output": {
"stdout": "0.037\n"
}
}
] |
{
"tags": [
"dp",
"greedy",
"implementation",
"math"
],
"title": "Jeff and Rounding"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\ntemplate <class T>\nvoid checkmax(T &t, T x) {\n if (x > t) t = x;\n}\ntemplate <class T>\nvoid checkmin(T &t, T x) {\n if (x < t) t = x;\n}\ntemplate <class T>\nvoid _checkmax(T &t, T x) {\n if (t == -1 || x > t) t = x;\n}\ntemplate <class T>\nvoid _checkmin(T &t, T x) {\n if (t == -1 || x < t) t = x;\n}\nint main() {\n int n, num, flag;\n double dou, sum, sub;\n while (cin >> n) {\n sum = num = flag = 0;\n for (int i = 0; i < (2 * n); ++i) {\n scanf(\"%lf\", &dou);\n sub = ceil(dou) - dou;\n sum += sub;\n if (sub < 10e-4 && sub > -10e-4) num++;\n }\n sum -= n - num;\n if (num == 0)\n printf(\"%.3lf\\n\", fabs(sum));\n else {\n for (int i = 0; i < (num); ++i) {\n if (fabs(sum) > fabs(sum - 1))\n sum = sum - 1;\n else {\n printf(\"%.3lf\\n\", fabs(sum));\n flag = 1;\n break;\n }\n }\n if (!flag) printf(\"%.3lf\\n\", fabs(sum));\n }\n }\n return 0;\n}\n",
"java": "// practice with rainboy\nimport java.io.*;\nimport java.util.*;\n\npublic class CF351A extends PrintWriter {\n\tCF351A() { super(System.out, true); }\n\tScanner sc = new Scanner(System.in);\n\tpublic static void main(String[] $) {\n\t\tCF351A o = new CF351A(); o.main(); o.flush();\n\t}\n\n\tvoid main() {\n\t\tint n = sc.nextInt();\n\t\tint sum = 0, z = 0;\n\t\tfor (int i = 0; i < n * 2; i++) {\n\t\t\tint a = (int) (sc.nextDouble() * 1000 + 0.5) % 1000;\n\t\t\tsum += a;\n\t\t\tif (a == 0)\n\t\t\t\tz++;\n\t\t}\n\t\tint lower = z >= n ? 0 : (n - z) * 1000;\n\t\tint upper = z <= n ? n * 1000 : (n * 2 - z) * 1000;\n\t\tint ans;\n\t\tif (sum <= lower)\n\t\t\tans = lower;\n\t\telse if (sum >= upper)\n\t\t\tans = upper;\n\t\telse\n\t\t\tans = (sum + 500) / 1000 * 1000;\n\t\tprintf(\"%.3f\\n\", Math.abs(ans - sum) / 1000.0);\n\t}\n}\n",
"python": "n = input()\na = map(float, raw_input().split())\nz = sum(int(x) == x for x in a)\ns = sum(x - int(x) for x in a)\nx = min(int(round(abs(n+n-z-i-s)*1000)) for i in range(max(0, n-z), n+1))\nprint str(x/1000) + '.' + str(x%1000).zfill(3)"
}
|
|
|
# Maximum Submatrix 2
You are given a matrix consisting of digits zero and one, its size is n × m. You are allowed to rearrange its rows. What is the maximum area of the submatrix that only consists of ones and can be obtained in the given problem by the described operations?
Let's assume that the rows of matrix a are numbered from 1 to n from top to bottom and the columns are numbered from 1 to m from left to right. A matrix cell on the intersection of the i-th row and the j-th column can be represented as (i, j). Formally, a submatrix of matrix a is a group of four integers d, u, l, r (1 ≤ d ≤ u ≤ n; 1 ≤ l ≤ r ≤ m). We will assume that the submatrix contains cells (i, j) (d ≤ i ≤ u; l ≤ j ≤ r). The area of the submatrix is the number of cells it contains.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 5000). Next n lines contain m characters each — matrix a. Matrix a only contains characters: "0" and "1". Note that the elements of the matrix follow without any spaces in the lines.
Output
Print a single integer — the area of the maximum obtained submatrix. If we cannot obtain a matrix of numbers one, print 0.
Examples
Input
1 1
1
Output
1
Input
2 2
10
11
Output
2
Input
4 3
100
011
000
101
Output
2
|
[
{
"input": {
"stdin": "4 3\n100\n011\n000\n101\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "2 2\n10\n11\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "1 1\n1\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "1 1\n0\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0110101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010101\n0110110010110010\n0011101101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001000\n1011111011010000\n"
},
"output": {
"stdout": "9"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100100000000\n101011001111\n010111110001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111100000\n100000011010\n000100100101\n"
},
"output": {
"stdout": "16"
}
},
{
"input": {
"stdin": "15 18\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n111111111111111111\n"
},
"output": {
"stdout": "270"
}
},
{
"input": {
"stdin": "8 5\n00000\n00000\n00000\n00000\n00000\n00000\n00000\n00000\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101110010000\n0010110110010101\n0110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010101\n0110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111011\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110111100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001001000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100000010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "13 19\n0000111111011111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0110101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100011000\n0010110110010101\n0110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001000\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "8 5\n00000\n00010\n10000\n00000\n00000\n00000\n00000\n00000\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "4 3\n100\n001\n010\n000\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010101\n0110110010110010\n0011101101110000\n1001100011010111\n0010011111111000\n0100100000111110\n1001000000100111\n0110000011001000\n1011111011010000\n"
},
"output": {
"stdout": "9"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100100000000\n101011001111\n010111010001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100000011010\n000100100101\n"
},
"output": {
"stdout": "15"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n0110100110111011101\n0001101011100001110\n1101100000010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "4 3\n100\n001\n010\n100\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100101000000\n101011001111\n010111110001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100010011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "4 3\n100\n011\n100\n100\n"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100101000000\n101011001111\n010111110001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100000011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010101\n0110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111010\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110100100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "8 5\n00000\n00010\n00000\n00000\n00000\n00000\n00000\n00000\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "11 16\n0111110111100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010111111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "4 3\n100\n011\n000\n000\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "4 3\n100\n011\n000\n100\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "11 16\n0111110100100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010011111111000\n0100000100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110111100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "13 19\n0000111111011111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0110101010001111100\n0001011010100111001\n1111101000110001010\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100101000000\n101011001111\n010111110001\n011000100101\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100010011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "11 16\n0111110101000011\n0000101110010000\n0010110110010101\n1110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "4 3\n100\n011\n100\n110\n"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010001\n0110110010110010\n0011111101110010\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001000\n1011111011010000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111101\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010000\n0010110110010101\n0110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001000\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111101\n0001011010100111001\n1111101001110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n0000101110010000\n0010110110010101\n1110110010110010\n0011111101110000\n1001100011010111\n0010011111111000\n0100100100111110\n1001000000100111\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110111100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010111111111000\n0100100100111110\n1001000000100110\n0110000011001110\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "11 16\n0111110111100011\n0000101110010000\n0010110110010101\n0110110010110110\n0011111101110000\n1001100011010111\n0010111111111000\n0100100100111110\n1001000000100110\n0110000011001100\n1011111011000000\n"
},
"output": {
"stdout": "12"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100100000000\n101011001111\n010111110001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100000011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100101000000\n101011001111\n010111110001\n011000100100\n011111010000\n010011101100\n011010011110\n011001111110\n010111110101\n010000010111\n011111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100000011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "4 3\n000\n001\n000\n000\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n0100100110111011101\n0001101011100001110\n1101100000010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "13 19\n0000111111111111011\n0111000001110001101\n1110100110111011101\n0001101011100001110\n1101100100010000101\n1010100011110011010\n1010011101010000001\n1011101000001111000\n1101110001101011110\n0010101010001111100\n0001011010100111001\n1111101000110001000\n0010010000011100010\n"
},
"output": {
"stdout": "14"
}
},
{
"input": {
"stdin": "19 12\n110001100110\n100101000000\n101011101111\n010111110001\n011000100101\n011111010000\n010011101100\n011010011110\n011001111110\n010111110001\n010000010111\n001111110100\n100100110001\n100110000000\n110000010010\n111101011101\n010111110010\n100010011010\n000100100101\n"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "11 16\n0111110101100011\n1000101100010100\n0010110110010101\n0110110010110010\n0011101101110000\n1001100011010111\n0010011111111000\n0100100000111110\n1001000000100111\n0110000011000000\n1011111011010000\n"
},
"output": {
"stdout": "9"
}
}
] |
{
"tags": [
"data structures",
"dp",
"implementation",
"sortings"
],
"title": "Maximum Submatrix 2"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\ntemplate <typename T>\nusing maxHeap = priority_queue<T, vector<T>, less<T>>;\ntemplate <typename T>\nusing minHeap = priority_queue<T, vector<T>, greater<T>>;\ntemplate <typename Iter>\nostream& _out(ostream& s, Iter b, Iter e) {\n s << \"[\";\n for (auto it = b; it != e; it++) s << (it == b ? \"\" : \" \") << *it;\n s << \"]\";\n return s;\n}\ntemplate <typename A, typename B>\nostream& operator<<(ostream& s, const pair<A, B>& p) {\n return s << \"(\" << p.first << \",\" << p.second << \")\";\n}\ntemplate <typename T>\nostream& operator<<(ostream& s, const vector<T>& c) {\n return _out(s, begin(c), end(c));\n}\nbool debug = 0;\ntemplate <typename T>\nvoid DEBUG(const T& x) {\n if (debug) cerr << x;\n}\ntemplate <typename T, typename... Args>\nvoid DEBUG(const T& head, const Args&... tail) {\n if (debug) {\n cerr << head;\n DEBUG(tail...);\n }\n}\nconst int N = 5000 + 5;\nint sum[N][N], bkt[N];\nint main(int argc, char* argv[]) {\n if (argc > 1 and string(argv[1]) == \"-D\") debug = 1;\n if (!debug) {\n ios_base::sync_with_stdio(0);\n cin.tie(0);\n }\n int n, m;\n cin >> n >> m;\n for (int i = 1; i <= n; i++) {\n string ss;\n cin >> ss;\n for (int j = 1; j <= m; j++) {\n sum[i][j] = ss[j - 1] - '0';\n }\n }\n for (int i = 1; i <= n; i++) {\n for (int j = 1; j <= m; j++) {\n if (sum[i][j] != 0) sum[i][j] += sum[i][j - 1];\n }\n }\n int ans = 0;\n for (int j = 1; j <= m; j++) {\n memset(bkt, 0, sizeof(bkt));\n for (int i = 1; i <= n; i++) bkt[sum[i][j]]++;\n int num = 0;\n for (int i = m; i >= 1; i--) {\n num += bkt[i];\n ans = max(ans, num * i);\n }\n }\n cout << ans << '\\n';\n return 0;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\n\n/**\n *\n * @author Don Li\n */\npublic class MaximumSubmatrix {\n \n int N = 5000 + 5;\n \n void solve() {\n int n = in.nextInt(), m = in.nextInt();\n char[][] s = new char[n][];\n for (int i = 0; i < n; i++) s[i] = in.nextToken().toCharArray();\n \n int[][] R = new int[n][m + 1];\n for (int i = 0; i < n; i++) {\n for (int j = m - 1; j >= 0; j--) {\n if (s[i][j] == '0') R[i][j] = 0;\n else R[i][j] = R[i][j + 1] + 1;\n }\n }\n \n int ans = 0;\n int[] cnt = new int[N];\n for (int l = 0; l < m; l++) {\n if (ans >= n * (m - l)) break;\n Arrays.fill(cnt, 0);\n for (int i = 0; i < n; i++) cnt[R[i][l]]++;\n for (int i = N - 2; i >= 1; i--) {\n cnt[i] = cnt[i + 1] + cnt[i];\n }\n for (int i = N - 1; i >= 1; i--) {\n ans = Math.max(ans, i * cnt[i]);\n }\n }\n out.println(ans);\n }\n \n public static void main(String[] args) {\n in = new FastScanner(new BufferedReader(new InputStreamReader(System.in)));\n out = new PrintWriter(System.out);\n new MaximumSubmatrix().solve();\n out.close();\n }\n \n static FastScanner in;\n static PrintWriter out;\n \n static class FastScanner {\n BufferedReader in;\n StringTokenizer st;\n \n public FastScanner(BufferedReader in) {\n this.in = in;\n }\n \n public String nextToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(in.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n \n public int nextInt() {\n return Integer.parseInt(nextToken());\n }\n \n public long nextLong() {\n return Long.parseLong(nextToken());\n }\n \n public double nextDouble() {\n return Double.parseDouble(nextToken());\n }\n }\n}\n",
"python": null
}
|
|
|
# Pages
User ainta is making a web site. This time he is going to make a navigation of the pages. In his site, there are n pages numbered by integers from 1 to n. Assume that somebody is on the p-th page now. The navigation will look like this:
<< p - k p - k + 1 ... p - 1 (p) p + 1 ... p + k - 1 p + k >>
When someone clicks the button "<<" he is redirected to page 1, and when someone clicks the button ">>" he is redirected to page n. Of course if someone clicks on a number, he is redirected to the corresponding page.
There are some conditions in the navigation:
* If page 1 is in the navigation, the button "<<" must not be printed.
* If page n is in the navigation, the button ">>" must not be printed.
* If the page number is smaller than 1 or greater than n, it must not be printed.
You can see some examples of the navigations. Make a program that prints the navigation.
Input
The first and the only line contains three integers n, p, k (3 ≤ n ≤ 100; 1 ≤ p ≤ n; 1 ≤ k ≤ n)
Output
Print the proper navigation. Follow the format of the output from the test samples.
Examples
Input
17 5 2
Output
<< 3 4 (5) 6 7 >>
Input
6 5 2
Output
<< 3 4 (5) 6
Input
6 1 2
Output
(1) 2 3 >>
Input
6 2 2
Output
1 (2) 3 4 >>
Input
9 6 3
Output
<< 3 4 5 (6) 7 8 9
Input
10 6 3
Output
<< 3 4 5 (6) 7 8 9 >>
Input
8 5 4
Output
1 2 3 4 (5) 6 7 8
|
[
{
"input": {
"stdin": "6 5 2\n"
},
"output": {
"stdout": "<< 3 4 (5) 6 \n"
}
},
{
"input": {
"stdin": "6 1 2\n"
},
"output": {
"stdout": "(1) 2 3 >>\n"
}
},
{
"input": {
"stdin": "8 5 4\n"
},
"output": {
"stdout": "1 2 3 4 (5) 6 7 8 \n"
}
},
{
"input": {
"stdin": "6 2 2\n"
},
"output": {
"stdout": "1 (2) 3 4 >>\n"
}
},
{
"input": {
"stdin": "9 6 3\n"
},
"output": {
"stdout": "<< 3 4 5 (6) 7 8 9 \n"
}
},
{
"input": {
"stdin": "17 5 2\n"
},
"output": {
"stdout": "<< 3 4 (5) 6 7 >>\n"
}
},
{
"input": {
"stdin": "10 6 3\n"
},
"output": {
"stdout": "<< 3 4 5 (6) 7 8 9 >>\n"
}
},
{
"input": {
"stdin": "79 35 12\n"
},
"output": {
"stdout": "<< 23 24 25 26 27 28 29 30 31 32 33 34 (35) 36 37 38 39 40 41 42 43 44 45 46 47 >>\n"
}
},
{
"input": {
"stdin": "100 46 48\n"
},
"output": {
"stdout": "1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 (46) 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 >>\n"
}
},
{
"input": {
"stdin": "7 5 1\n"
},
"output": {
"stdout": "<< 4 (5) 6 >>\n"
}
},
{
"input": {
"stdin": "100 46 38\n"
},
"output": {
"stdout": "<< 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 (46) 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 >>\n"
}
},
{
"input": {
"stdin": "6 1 2\n"
},
"output": {
"stdout": "(1) 2 3 >>\n"
}
},
{
"input": {
"stdin": "17 5 2\n"
},
"output": {
"stdout": "<< 3 4 (5) 6 7 >>\n"
}
},
{
"input": {
"stdin": "6 2 2\n"
},
"output": {
"stdout": "1 (2) 3 4 >>\n"
}
},
{
"input": {
"stdin": "100 10 20\n"
},
"output": {
"stdout": "1 2 3 4 5 6 7 8 9 (10) 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 >>\n"
}
},
{
"input": {
"stdin": "100 100 17\n"
},
"output": {
"stdout": "<< 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 (100) \n"
}
},
{
"input": {
"stdin": "3 1 3\n"
},
"output": {
"stdout": "(1) 2 3 \n"
}
},
{
"input": {
"stdin": "100 99 15\n"
},
"output": {
"stdout": "<< 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 (99) 100 \n"
}
},
{
"input": {
"stdin": "100 99 5\n"
},
"output": {
"stdout": "<< 94 95 96 97 98 (99) 100 \n"
}
},
{
"input": {
"stdin": "9 6 3\n"
},
"output": {
"stdout": "<< 3 4 5 (6) 7 8 9 \n"
}
},
{
"input": {
"stdin": "10 6 3\n"
},
"output": {
"stdout": "<< 3 4 5 (6) 7 8 9 >>\n"
}
},
{
"input": {
"stdin": "17 5 3\n"
},
"output": {
"stdout": "<< 2 3 4 (5) 6 7 8 >>\n"
}
},
{
"input": {
"stdin": "3 1 1\n"
},
"output": {
"stdout": "(1) 2 >>\n"
}
},
{
"input": {
"stdin": "5 2 1\n"
},
"output": {
"stdout": "1 (2) 3 >>\n"
}
},
{
"input": {
"stdin": "6 5 2\n"
},
"output": {
"stdout": "<< 3 4 (5) 6 \n"
}
},
{
"input": {
"stdin": "5 3 1\n"
},
"output": {
"stdout": "<< 2 (3) 4 >>\n"
}
},
{
"input": {
"stdin": "100 25 11\n"
},
"output": {
"stdout": "<< 14 15 16 17 18 19 20 21 22 23 24 (25) 26 27 28 29 30 31 32 33 34 35 36 >>\n"
}
},
{
"input": {
"stdin": "100 10 100\n"
},
"output": {
"stdout": "1 2 3 4 5 6 7 8 9 (10) 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 \n"
}
},
{
"input": {
"stdin": "5 5 5\n"
},
"output": {
"stdout": "1 2 3 4 (5) \n"
}
},
{
"input": {
"stdin": "3 2 1\n"
},
"output": {
"stdout": "1 (2) 3 \n"
}
},
{
"input": {
"stdin": "5 3 5\n"
},
"output": {
"stdout": "1 2 (3) 4 5 \n"
}
},
{
"input": {
"stdin": "100 35 28\n"
},
"output": {
"stdout": "<< 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 (35) 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 >>\n"
}
},
{
"input": {
"stdin": "9 7 1\n"
},
"output": {
"stdout": "<< 6 (7) 8 >>\n"
}
},
{
"input": {
"stdin": "6 3 1\n"
},
"output": {
"stdout": "<< 2 (3) 4 >>\n"
}
},
{
"input": {
"stdin": "10 5 1\n"
},
"output": {
"stdout": "<< 4 (5) 6 >>\n"
}
},
{
"input": {
"stdin": "17 8 3\n"
},
"output": {
"stdout": "<< 5 6 7 (8) 9 10 11 >>\n"
}
},
{
"input": {
"stdin": "8 2 1\n"
},
"output": {
"stdout": "1 (2) 3 >>\n"
}
},
{
"input": {
"stdin": "3 3 2\n"
},
"output": {
"stdout": "1 2 (3)\n"
}
},
{
"input": {
"stdin": "100 24 11\n"
},
"output": {
"stdout": "<< 13 14 15 16 17 18 19 20 21 22 23 (24) 25 26 27 28 29 30 31 32 33 34 35 >>\n"
}
},
{
"input": {
"stdin": "15 5 5\n"
},
"output": {
"stdout": "1 2 3 4 (5) 6 7 8 9 10 >>\n"
}
},
{
"input": {
"stdin": "100 24 3\n"
},
"output": {
"stdout": "<< 21 22 23 (24) 25 26 27 >>\n"
}
},
{
"input": {
"stdin": "79 29 8\n"
},
"output": {
"stdout": "<< 21 22 23 24 25 26 27 28 (29) 30 31 32 33 34 35 36 37 >>\n"
}
},
{
"input": {
"stdin": "18 5 3\n"
},
"output": {
"stdout": "<< 2 3 4 (5) 6 7 8 >>\n"
}
},
{
"input": {
"stdin": "4 2 2\n"
},
"output": {
"stdout": "1 (2) 3 4\n"
}
},
{
"input": {
"stdin": "15 5 3\n"
},
"output": {
"stdout": "<< 2 3 4 (5) 6 7 8 >>\n"
}
},
{
"input": {
"stdin": "79 47 12\n"
},
"output": {
"stdout": "<< 35 36 37 38 39 40 41 42 43 44 45 46 (47) 48 49 50 51 52 53 54 55 56 57 58 59 >>\n"
}
},
{
"input": {
"stdin": "100 45 21\n"
},
"output": {
"stdout": "<< 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 (45) 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 >>\n"
}
},
{
"input": {
"stdin": "9 8 3\n"
},
"output": {
"stdout": "<< 5 6 7 (8) 9\n"
}
},
{
"input": {
"stdin": "9 3 4\n"
},
"output": {
"stdout": "1 2 (3) 4 5 6 7 >>\n"
}
},
{
"input": {
"stdin": "4 1 1\n"
},
"output": {
"stdout": "(1) 2 >>\n"
}
}
] |
{
"tags": [
"implementation"
],
"title": "Pages"
}
|
{
"cpp": "#include <bits/stdc++.h>\nint main() {\n int a, b, c, i, j;\n scanf(\"%d %d %d\", &a, &b, &c);\n if (b == 1) {\n printf(\"(1) \");\n if (b + c >= a) {\n for (i = 2; i < 1 + c; i++) {\n printf(\"%d \", i);\n }\n } else if (b + c < a) {\n for (i = 2; i <= 1 + c; i++) {\n printf(\"%d \", i);\n }\n }\n if (b + c < a)\n printf(\">>\\n\");\n else\n printf(\"\\n\");\n } else if (b - c > 0) {\n if (b - c > 1) printf(\"<< \");\n for (i = b - c; i < b; i++)\n if (i != 0) printf(\"%d \", i);\n printf(\"(%d) \", b);\n if (a >= b + c) {\n for (j = b + 1; j <= b + c; j++) printf(\"%d \", j);\n } else if (a < b + c) {\n for (j = b + 1; j <= a; j++) printf(\"%d \", j);\n }\n if (b + c < a)\n printf(\">>\\n\");\n else\n printf(\"\\n\");\n } else {\n for (i = 1; i < b; i++) printf(\"%d \", i);\n printf(\"(%d) \", b);\n if (a >= b + c) {\n for (j = b + 1; j <= b + c; j++) printf(\"%d \", j);\n } else if (a < b + c) {\n for (j = b + 1; j <= a; j++) printf(\"%d \", j);\n }\n if (b + c < a)\n printf(\">>\\n\");\n else\n printf(\"\\n\");\n }\n}\n",
"java": "import java.util.Scanner;\n\npublic class Pages {\n\n public static void main(String[] args) {\n Scanner scan = new Scanner(System.in);\n int n = scan.nextInt();\n int p = scan.nextInt();\n int k = scan.nextInt();\n StringBuilder builder = new StringBuilder();\n\n int start = Math.max(1, p - k);\n int end = Math.min(k + p, n);\n if (start != 1) {\n builder.append(\"<< \");\n }\n for (int i = start; i < end; i++) {\n if (i == p)\n builder.append(\"(\" + i + \") \");\n else\n builder.append(i + \" \");\n }\n builder.append(end == p ? \"(\" + end + \")\" : end);\n if (end != n) {\n builder.append(\" >>\");\n }\n System.out.println(builder.toString());\n\n }\n\n}\n",
"python": "import copy\nn, p, k = map(int, input().split())\na = []\np1 = copy.copy(p)\na.append('(' + str(p) + ')')\nv = 0\nwhile p < n and v < k:\n\tp += 1\n\tv += 1\n\ta.insert(v, str(p))\nwhile k > 0 and p1 > 1:\n\tp1 -= 1\n\ta.insert(0, str(p1))\n\tk -= 1\nif '1' not in a and '(1)' not in a:\n\ta.insert(0, '<<')\nif str(n) not in a and '(' + str(n) + ')' not in a:\n\ta.insert(len(a), '>>')\nprint(\" \".join(a))\n"
}
|
|
|
# Start Up
Recently, a start up by two students of a state university of city F gained incredible popularity. Now it's time to start a new company. But what do we call it?
The market analysts came up with a very smart plan: the name of the company should be identical to its reflection in a mirror! In other words, if we write out the name of the company on a piece of paper in a line (horizontally, from left to right) with large English letters, then put this piece of paper in front of the mirror, then the reflection of the name in the mirror should perfectly match the line written on the piece of paper.
There are many suggestions for the company name, so coming up to the mirror with a piece of paper for each name wouldn't be sensible. The founders of the company decided to automatize this process. They asked you to write a program that can, given a word, determine whether the word is a 'mirror' word or not.
Input
The first line contains a non-empty name that needs to be checked. The name contains at most 105 large English letters. The name will be written with the next sans serif font:
<image>
Output
Print 'YES' (without the quotes), if the given name matches its mirror reflection. Otherwise, print 'NO' (without the quotes).
Examples
Input
AHA
Output
YES
Input
Z
Output
NO
Input
XO
Output
NO
|
[
{
"input": {
"stdin": "XO\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "Z\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AHA\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "WYYW\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "Q\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "R\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "A\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "Y\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "OVWIHIWVYXMVAAAATOXWOIUUHYXHIHHVUIOOXWHOXTUUMUUVHVWWYUTIAUAITAOMHXWMTTOIVMIVOTHOVOIOHYHAOXWAUVWAVIVM\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "C\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "QDPINBMCRFWXPDBFGOZVVOCEMJRUCTOADEWEGTVBVBFWWRPGYEEYGPRWWFBVBVTGEWEDAOTCURJMECOVVZOGFBDPXWFRCMBNIPDQ\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "ZZ\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "JL\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "S\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "V\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "MITIM\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "E\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "ABA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "I\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "HNCMEEMCNH\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "H\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "YYHUIUGYI\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "OMMMAAMMMO\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "AABAA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "K\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AAAAAABAAAAAA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AAAKTAAA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "W\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "AAJAA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AEEA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "D\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "VO\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "F\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AZA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "SSS\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "TT\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "X\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "LAL\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "VIYMAXXAVM\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "UUU\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "T\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "U\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "NNN\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AAA\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "AHHA\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "J\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "QOQ\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "BAB\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "L\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "SS\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "G\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "N\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "AKA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "O\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "WWS\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "B\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "CC\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "M\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "OQQQO\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "ADA\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "P\n"
},
"output": {
"stdout": "NO\n"
}
}
] |
{
"tags": [
"implementation"
],
"title": "Start Up"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nbool ok[300];\nint main() {\n cin.tie(0);\n ios_base::sync_with_stdio(0);\n string str = \"AHIMOTUVWXY\";\n for (int i = 0; i < int(str.size()); ++i) ok[str[i]] = true;\n cin >> str;\n bool ans = true;\n const int n = str.size();\n for (int i = 0; i < n; ++i) ans &= ok[str[i]] && (str[i] == str[n - 1 - i]);\n cout << (ans ? \"YES\" : \"NO\") << endl;\n return 0;\n}\n",
"java": "import java.io.*;\nimport java.util.*;\n\npublic class p421b\n{\n public static void main(String[] args)\n {\n Scanner sc = new Scanner(System.in);\n ArrayList<String> arr = new ArrayList<String>(Arrays.asList(\"A\",\"H\",\"I\",\"M\",\"O\",\"T\",\"U\",\"V\",\"W\",\"X\",\"Y\"));\n String str = sc.next();\n int l = str.length();\n int c1=0,c2=0;\n for(int i=0;i<l;i++)\n {\n String s1 = Character.toString(str.charAt(i));\n if(!(arr.contains(s1)))\n {\n c1++;\n break;\n }\n }\n if(c1==0)\n {\n for(int i=0;i<l;i++)\n {\n if(str.charAt(i)!=str.charAt(l-i-1))\n {\n c2++;\n break;\n }\n }\n }\n if(c1==0 && c2==0) System.out.println(\"YES\");\n else System.out.println(\"NO\");\n }\n}",
"python": "def main():\n s = input()\n print((\"NO\", \"YES\")[s == s[::-1] and all(c in \"AHIMOTUVWXY\" for c in s)])\n\n\nif __name__ == '__main__':\n main()\n"
}
|
|
|
# DZY Loves Fibonacci Numbers
In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation
F1 = 1; F2 = 1; Fn = Fn - 1 + Fn - 2 (n > 2).
DZY loves Fibonacci numbers very much. Today DZY gives you an array consisting of n integers: a1, a2, ..., an. Moreover, there are m queries, each query has one of the two types:
1. Format of the query "1 l r". In reply to the query, you need to add Fi - l + 1 to each element ai, where l ≤ i ≤ r.
2. Format of the query "2 l r". In reply to the query you should output the value of <image> modulo 1000000009 (109 + 9).
Help DZY reply to all the queries.
Input
The first line of the input contains two integers n and m (1 ≤ n, m ≤ 300000). The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — initial array a.
Then, m lines follow. A single line describes a single query in the format given in the statement. It is guaranteed that for each query inequality 1 ≤ l ≤ r ≤ n holds.
Output
For each query of the second type, print the value of the sum on a single line.
Examples
Input
4 4
1 2 3 4
1 1 4
2 1 4
1 2 4
2 1 3
Output
17
12
Note
After the first query, a = [2, 3, 5, 7].
For the second query, sum = 2 + 3 + 5 + 7 = 17.
After the third query, a = [2, 4, 6, 9].
For the fourth query, sum = 2 + 4 + 6 = 12.
|
[
{
"input": {
"stdin": "4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "17\n12\n"
}
},
{
"input": {
"stdin": "2 2\n1 2\n2 1 2\n2 1 2\n"
},
"output": {
"stdout": "3\n3\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 4 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n563\n105\n69\n71\n256\n210\n175\n373\n217\n"
}
},
{
"input": {
"stdin": "2 2\n1 0\n1 1 2\n2 2 2\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 1 4\n2 2 2\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "3\n10\n"
}
},
{
"input": {
"stdin": "2 2\n1 2\n2 1 1\n2 2 2\n"
},
"output": {
"stdout": "1\n2\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 3 4\n2 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "10\n10\n8\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 6 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "471\n546\n88\n69\n54\n256\n181\n175\n356\n217\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 3 4\n2 1 4\n1 1 4\n1 2 4\n2 1 4\n"
},
"output": {
"stdout": "10\n21\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 1 4\n2 2 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "17\n10\n"
}
},
{
"input": {
"stdin": "2 2\n2 2\n2 1 1\n2 1 2\n"
},
"output": {
"stdout": "2\n4\n"
}
},
{
"input": {
"stdin": "4 3\n1 2 1 8\n1 2 4\n2 1 4\n1 2 3\n2 1 3\n"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "2 2\n0 2\n1 1 2\n2 1 2\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 3 4\n2 1 4\n1 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "10\n12\n"
}
},
{
"input": {
"stdin": "4 4\n1 4 1 8\n1 2 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "18\n10\n"
}
},
{
"input": {
"stdin": "4 4\n0 2 3 8\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "20\n11\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 2\n1 1 4\n2 2 4\n2 2 4\n2 1 1\n"
},
"output": {
"stdout": "11\n11\n2\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 6 41 29 118 118 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 7\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "541\n616\n88\n69\n54\n326\n202\n175\n426\n274\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 2 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "16\n8\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 1 4\n2 1 4\n1 2 4\n2 1 4\n"
},
"output": {
"stdout": "19\n23\n"
}
},
{
"input": {
"stdin": "4 3\n1 2 1 8\n1 2 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "2 2\n2 3\n2 1 1\n2 1 2\n"
},
"output": {
"stdout": "2\n5\n"
}
},
{
"input": {
"stdin": "4 4\n0 2 1 2\n1 1 4\n2 2 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "11\n9\n"
}
},
{
"input": {
"stdin": "4 4\n1 4 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "19\n14\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 6 41 29 118 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 7\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "492\n567\n88\n69\n54\n277\n202\n175\n377\n225\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 3 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n610\n107\n69\n74\n272\n190\n204\n401\n228\n"
}
},
{
"input": {
"stdin": "2 2\n1 2\n1 1 2\n2 2 2\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "10 20\n10 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 3 3\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n511\n106\n23\n71\n254\n180\n170\n369\n215\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 2\n1 1 4\n2 2 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "11\n10\n"
}
},
{
"input": {
"stdin": "10 20\n10 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 3 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n564\n107\n23\n74\n272\n190\n204\n401\n228\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 4\n1 1 2\n2 2 4\n1 2 3\n2 1 3\n"
},
"output": {
"stdout": "8\n8\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 2 2\n1 1 4\n2 2 4\n1 2 4\n2 1 1\n"
},
"output": {
"stdout": "12\n2\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 4\n1 1 4\n2 2 4\n1 2 3\n2 1 3\n"
},
"output": {
"stdout": "13\n10\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "19\n10\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 6 41 29 118 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "492\n567\n88\n69\n54\n277\n202\n175\n377\n238\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 2\n1 1 4\n2 2 4\n1 2 4\n2 1 1\n"
},
"output": {
"stdout": "11\n2\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 4\n1 1 4\n2 2 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "13\n10\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n563\n105\n69\n71\n256\n181\n175\n373\n217\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 5 9\n2 5 8\n2 4 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n563\n105\n69\n71\n262\n214\n179\n383\n221\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 3 4\n2 1 4\n1 1 4\n1 2 4\n2 2 4\n"
},
"output": {
"stdout": "10\n19\n"
}
},
{
"input": {
"stdin": "2 2\n1 2\n2 1 1\n2 1 2\n"
},
"output": {
"stdout": "1\n3\n"
}
},
{
"input": {
"stdin": "2 2\n1 2\n1 1 2\n2 1 2\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 3 5\n1 1 5\n1 8 9\n2 5 8\n2 5 7\n2 9 10\n2 4 9\n1 2 10\n1 2 9\n2 7 8\n"
},
"output": {
"stdout": "488\n563\n105\n69\n141\n256\n181\n175\n373\n217\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n1 1 4\n2 1 4\n1 2 4\n2 1 2\n"
},
"output": {
"stdout": "19\n6\n"
}
},
{
"input": {
"stdin": "4 4\n0 2 3 8\n1 1 4\n2 1 3\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "9\n11\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 10\n1 1 4\n2 2 2\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "3\n10\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 3 8\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
},
"output": {
"stdout": "21\n12\n"
}
},
{
"input": {
"stdin": "4 4\n1 2 1 8\n2 1 4\n2 1 4\n1 2 4\n2 1 4\n"
},
"output": {
"stdout": "12\n12\n16\n"
}
}
] |
{
"tags": [
"data structures",
"math",
"number theory"
],
"title": "DZY Loves Fibonacci Numbers"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstruct mat {\n int dgt[2][2];\n friend mat operator*(const mat &a, const mat &b) {\n mat c;\n memset(c.dgt, 0, sizeof(c.dgt));\n for (int i = 0; i < 2; ++i)\n for (int j = 0; j < 2; ++j)\n for (int k = 0; k < 2; ++k)\n c.dgt[i][j] =\n (c.dgt[i][j] + (long long)a.dgt[i][k] * b.dgt[k][j]) % 1000000009;\n return c;\n }\n friend bool operator!=(const mat &a, const mat &b) {\n for (int i = 0; i < 2; ++i)\n for (int j = 0; j < 2; ++j)\n if (a.dgt[i][j] != b.dgt[i][j]) return 1;\n return 0;\n }\n friend mat operator+(const mat &a, const mat &b) {\n mat c;\n for (int i = 0; i < 2; ++i)\n for (int j = 0; j < 2; ++j)\n c.dgt[i][j] = (a.dgt[i][j] + b.dgt[i][j]) % 1000000009;\n return c;\n }\n} I, fib, Power[300010], sum[300010], O;\nstruct SegTree {\n int size, ans;\n mat p;\n} tree[300010 << 2];\nint n, m, a[300010];\nvoid build(int root, int l, int r) {\n if (l == r) {\n tree[root].size = 1;\n tree[root].ans = a[l];\n return;\n }\n int mid = (l + r) >> 1;\n build(root << 1, l, mid), build(root << 1 | 1, mid + 1, r);\n tree[root].size = tree[root << 1].size + tree[root << 1 | 1].size,\n tree[root].ans = (tree[root << 1].ans + tree[root << 1 | 1].ans) % 1000000009;\n}\nvoid update(int root, mat p) {\n tree[root].p = tree[root].p + p;\n p = p * sum[tree[root].size - 1];\n tree[root].ans = (tree[root].ans + p.dgt[0][1]) % 1000000009;\n}\nvoid pd(int root) {\n if (tree[root].p != O) {\n update(root << 1, tree[root].p);\n update(root << 1 | 1, tree[root].p * Power[tree[root << 1].size]);\n tree[root].p = O;\n }\n}\nint query(int root, int l, int r, int x, int y) {\n if (l == x && r == y) return tree[root].ans;\n pd(root);\n int mid = (l + r) >> 1;\n if (y <= mid)\n return query(root << 1, l, mid, x, y);\n else if (mid < x)\n return query(root << 1 | 1, mid + 1, r, x, y);\n else\n return (query(root << 1, l, mid, x, mid) +\n query(root << 1 | 1, mid + 1, r, mid + 1, y)) %\n 1000000009;\n}\nvoid modify(int root, int l, int r, int x, int y, mat p) {\n if (l == x && r == y) {\n update(root, p);\n return;\n }\n pd(root);\n int mid = (l + r) >> 1;\n if (y <= mid)\n modify(root << 1, l, mid, x, y, p);\n else if (mid < x)\n modify(root << 1 | 1, mid + 1, r, x, y, p);\n else\n modify(root << 1, l, mid, x, mid, p),\n modify(root << 1 | 1, mid + 1, r, mid + 1, y, p * Power[mid - x + 1]);\n tree[root].ans = (tree[root << 1].ans + tree[root << 1 | 1].ans) % 1000000009;\n}\nint main() {\n I.dgt[0][0] = I.dgt[1][1] = 1;\n fib.dgt[0][1] = 1;\n fib.dgt[1][0] = fib.dgt[1][1] = 1;\n scanf(\"%d %d\", &n, &m);\n Power[0] = sum[0] = I;\n for (int i = 1; i <= n; ++i)\n Power[i] = Power[i - 1] * fib, sum[i] = sum[i - 1] + Power[i];\n for (int i = 1; i <= n; ++i) scanf(\"%d\", a + i);\n build(1, 1, n);\n for (int i = 1, t, l, r; i <= m; ++i) {\n scanf(\"%d %d %d\", &t, &l, &r);\n if (t == 1)\n modify(1, 1, n, l, r, fib);\n else\n printf(\"%d\\n\", query(1, 1, n, l, r));\n }\n return 0;\n}\n",
"java": "/*\n * Author Ayub Subhaniya\n * Institute DA-IICT\n */\n\nimport java.io.*;\nimport java.math.*;\nimport java.util.*;\n\n\npublic class Driver {\n\n\tInputStream in;\n\tPrintWriter out;\n\t\n\tint n;\n\tint MAXB;\n\tint MAXN;\n\tlong buffer[];\n\tlong f[];\n\tlong mod=(long)1e9+9;\n\t\n\tvoid init()\n\t{\n\t\tMAXN=(int)3e5+7;\n\t\tMAXB=(int) Math.sqrt(n);\n\t\tbuffer=new long[n];\n\t\tf=new long[MAXN];\n\t}\n\t\n\tvoid fibonacci()\n\t{\n\t\tf[1]=1;\n\t\tf[2]=1;\n\t\tfor (int i=3;i<MAXN;i++)\n\t\t\tf[i]=add(f[i-1],f[i-2]);\n\t\t\n\t\tfor (int i=1;i<MAXN;i++)\n\t\t\tf[i]=add(f[i],f[i-1]);\n\t}\n\t\n\t\n\t\n\tvoid solve() {\n\t\tn=ni();\n\t\tinit();\n\t\tfibonacci();\n\t\t\n\t\tint m=ni();\n\t\tlong pSum[]=new long[n+1];\n\t\t\n\t\tfor (int i=1;i<=n;i++)\n\t\t\tpSum[i]=add(pSum[i-1],nl());\n\t\t\n\t\tlong tmp[]=new long[n+3];\n\t\t\n\t\tint c=0;\n\t\t\n\t\twhile (m-->0)\n\t\t{\n\t\t\tint t=ni();\n\t\t\tint l=ni();\n\t\t\tint r=ni();\n\t\t\t\n\t\t\tif (t==1)\n\t\t\t{\n\t\t\t\tbuffer[c++]=((long)l<<32)|(long)r;\n\t\t\t\ttmp[l]=add(tmp[l],1);\n\t\t\t\ttmp[r+1]=sub(tmp[r+1],sub(f[r-l+2],f[r-l+1]));\n\t\t\t\ttmp[r+2]=sub(tmp[r+2],sub(f[r-l+1],f[r-l]));\n\t\t\t}\n\t\t\telse\n\t\t\t{\n\t\t\t\tlong ans=sub(pSum[r],pSum[l-1]);\n\t\t\t\t\n\t\t\t\tfor (int i=0;i<c;i++)\n\t\t\t\t{\n\t\t\t\t\tint l1=(int)(buffer[i]>>32);\n\t\t\t\t\tint r1=(int)(buffer[i]);\n\t\t\t\t\tint L=Math.max(l1, l);\n\t\t\t\t\tint R=Math.min(r1, r);\n\t\t\t\t\tif (L>R)\n\t\t\t\t\t\tcontinue;\n\t\t\t\t\tL-=l1;\n\t\t\t\t\tR-=l1;\n\t\t\t\t\tans=add(ans,sub(f[R+1],f[L]));\n\t\t\t\t\t\n\t\t\t\t}\n\t\t\t\tout.println(ans);\n\t\t\t}\n\t\t\t\n\t\t\tif (c>=MAXB)\n\t\t\t{\n\t\t\t\tlong sum=tmp[1];\n\t\t\t\tpSum[1]=add(pSum[1],sum);\n\t\t\t\tfor (int i=2;i<=n;i++)\n\t\t\t\t{\n\t\t\t\t\ttmp[i]=add(tmp[i],add(tmp[i-1],tmp[i-2]));\n\t\t\t\t\tsum=add(sum,tmp[i]);\n\t\t\t\t\tpSum[i]=add(pSum[i],sum);\n\t\t\t\t\ttmp[i-2]=0;\n\t\t\t\t}\n\t\t\t\ttmp[n]=tmp[n-1]=0;\n\t\t\t\tc=0;\n\t\t\t}\n\t\t\t\n\t\t}\n\t\t\n\t}\n\t\n\tlong sub(long a,long b)\n\t{\n\t\tlong sub=a-b;\n\t\twhile (sub<0)\n\t\t\tsub+=mod;\n\t\treturn sub;\n\t}\n\t\n\tlong add(long a,long b)\n\t{\n\t\tlong add=a+b;\n\t\twhile (add>=mod)\n\t\t\tadd-=mod;\n\t\treturn add;\n\t}\n\t\n\tlong mult(long a,long b)\n\t{\n\t\tlong mult=a*b;\n\t\twhile (mult>=mod)\n\t\t\tmult-=mod;\n\t\treturn mult;\n\t}\n\t\n\tvoid run() throws Exception {\n\t\tString INPUT = \"C:/Users/ayubs/Desktop/input.txt\";\n\t\t//oj=true;\n\t\tin = oj ? System.in : new FileInputStream(INPUT);\n\t\tout = new PrintWriter(System.out);\n\n\t\t\tlong s = System.currentTimeMillis();\n\t\t\tsolve();\n\t\t\tout.flush();\n\t\t\ttr(System.currentTimeMillis() - s + \"ms\");\n\t}\n\n\t\n\n\tpublic static void main(String[] args) throws Exception {\n\t\tnew Driver().run();\n\t}\n\n\tprivate byte[] inbuf = new byte[1024];\n\tpublic int lenbuf = 0, ptrbuf = 0;\n\n\tprivate int readByte() {\n\t\tif (lenbuf == -1)\n\t\t\tthrow new InputMismatchException();\n\t\tif (ptrbuf >= lenbuf) {\n\t\t\tptrbuf = 0;\n\t\t\ttry {\n\t\t\t\tlenbuf = in.read(inbuf);\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new InputMismatchException();\n\t\t\t}\n\t\t\tif (lenbuf <= 0)\n\t\t\t\treturn -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\n\tprivate boolean inSpaceChar(int c) {\n\t\treturn !(c >= 33 && c <= 126);\n\t}\n\n\tprivate int skip() {\n\t\tint b;\n\t\twhile ((b = readByte()) != -1 && inSpaceChar(b))\n\t\t\t;\n\t\treturn b;\n\t}\n\n\tprivate double nd() {\n\t\treturn Double.parseDouble(ns());\n\t}\n\n\tprivate char nc() {\n\t\treturn (char) skip();\n\t}\n\n\tprivate String ns() {\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile (!(inSpaceChar(b))) { // when nextLine, (inSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\n\tprivate char[] ns(int n) {\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile (p < n && !(inSpaceChar(b))) {\n\t\t\tbuf[p++] = (char) b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\n\tprivate char[][] nm(int n, int m) {\n\t\tchar[][] map = new char[n][];\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tmap[i] = ns(m);\n\t\treturn map;\n\t}\n\n\tprivate int[] na(int n) {\n\t\tint[] a = new int[n];\n\t\tfor (int i = 0; i < n; i++)\n\t\t\ta[i] = ni();\n\t\treturn a;\n\t}\n\n\tprivate int ni() {\n\t\tint num = 0, b;\n\t\tboolean minus = false;\n\t\twhile ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))\n\t\t\t;\n\t\tif (b == '-') {\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\n\t\twhile (true) {\n\t\t\tif (b >= '0' && b <= '9') {\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t} else {\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\n\tprivate long nl() {\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))\n\t\t\t;\n\t\tif (b == '-') {\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\n\t\twhile (true) {\n\t\t\tif (b >= '0' && b <= '9') {\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t} else {\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\n\tprivate boolean oj = System.getProperty(\"ONLINE_JUDGE\") != null;\n\n\tprivate void tr(Object... o) {\n\t\tif (!oj)\n\t\t\tSystem.out.println(Arrays.deepToString(o));\n\t}\n\n}\n\n",
"python": null
}
|
|
|
# Ball Game
A kindergarten teacher Natalia Pavlovna has invented a new ball game. This game not only develops the children's physique, but also teaches them how to count.
The game goes as follows. Kids stand in circle. Let's agree to think of the children as numbered with numbers from 1 to n clockwise and the child number 1 is holding the ball. First the first child throws the ball to the next one clockwise, i.e. to the child number 2. Then the child number 2 throws the ball to the next but one child, i.e. to the child number 4, then the fourth child throws the ball to the child that stands two children away from him, i.e. to the child number 7, then the ball is thrown to the child who stands 3 children away from the child number 7, then the ball is thrown to the child who stands 4 children away from the last one, and so on. It should be mentioned that when a ball is thrown it may pass the beginning of the circle. For example, if n = 5, then after the third throw the child number 2 has the ball again. Overall, n - 1 throws are made, and the game ends.
The problem is that not all the children get the ball during the game. If a child doesn't get the ball, he gets very upset and cries until Natalia Pavlovna gives him a candy. That's why Natalia Pavlovna asks you to help her to identify the numbers of the children who will get the ball after each throw.
Input
The first line contains integer n (2 ≤ n ≤ 100) which indicates the number of kids in the circle.
Output
In the single line print n - 1 numbers which are the numbers of children who will get the ball after each throw. Separate the numbers by spaces.
Examples
Input
10
Output
2 4 7 1 6 2 9 7 6
Input
3
Output
2 1
|
[
{
"input": {
"stdin": "10\n"
},
"output": {
"stdout": "2 4 7 1 6 2 9 7 6 "
}
},
{
"input": {
"stdin": "3\n"
},
"output": {
"stdout": "2 1 "
}
},
{
"input": {
"stdin": "6\n"
},
"output": {
"stdout": "2 4 1 5 4 "
}
},
{
"input": {
"stdin": "9\n"
},
"output": {
"stdout": "2 4 7 2 7 4 2 1 "
}
},
{
"input": {
"stdin": "25\n"
},
"output": {
"stdout": "2 4 7 11 16 22 4 12 21 6 17 4 17 6 21 12 4 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "100\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 6 21 37 54 72 91 11 32 54 77 1 26 52 79 7 36 66 97 29 62 96 31 67 4 42 81 21 62 4 47 91 36 82 29 77 26 76 27 79 32 86 41 97 54 12 71 31 92 54 17 81 46 12 79 47 16 86 57 29 2 76 51 27 4 82 61 41 22 4 87 71 56 42 29 17 6 96 87 79 72 66 61 57 54 52 51 "
}
},
{
"input": {
"stdin": "95\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 11 26 42 59 77 1 21 42 64 87 16 41 67 94 27 56 86 22 54 87 26 61 2 39 77 21 61 7 49 92 41 86 37 84 37 86 41 92 49 7 61 21 77 39 2 61 26 87 54 22 86 56 27 94 67 41 16 87 64 42 21 1 77 59 42 26 11 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "45\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 1 11 22 34 2 16 31 2 19 37 11 31 7 29 7 31 11 37 19 2 31 16 2 34 22 11 1 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "13\n"
},
"output": {
"stdout": "2 4 7 11 3 9 3 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "85\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 7 21 36 52 69 2 21 41 62 84 22 46 71 12 39 67 11 41 72 19 52 1 36 72 24 62 16 56 12 54 12 56 16 62 24 72 36 1 52 19 72 41 11 67 39 12 71 46 22 84 62 41 21 2 69 52 36 21 7 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "65\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 2 14 27 41 56 7 24 42 61 16 37 59 17 41 1 27 54 17 46 11 42 9 42 11 46 17 54 27 1 41 17 59 37 16 61 42 24 7 56 41 27 14 2 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "8\n"
},
"output": {
"stdout": "2 4 7 3 8 6 5 "
}
},
{
"input": {
"stdin": "98\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 8 23 39 56 74 93 15 36 58 81 7 32 58 85 15 44 74 7 39 72 8 43 79 18 56 95 37 78 22 65 11 56 4 51 1 50 2 53 7 60 16 71 29 86 46 7 67 30 92 57 23 88 56 25 93 64 36 9 81 56 32 9 85 64 44 25 7 88 72 57 43 30 18 7 95 86 78 71 65 60 56 53 51 50 "
}
},
{
"input": {
"stdin": "30\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 7 16 26 7 19 2 16 1 17 4 22 11 1 22 14 7 1 26 22 19 17 16 "
}
},
{
"input": {
"stdin": "99\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 7 22 38 55 73 92 13 34 56 79 4 29 55 82 11 40 70 2 34 67 2 37 73 11 49 88 29 70 13 56 1 46 92 40 88 38 88 40 92 46 1 56 13 70 29 88 49 11 73 37 2 67 34 2 70 40 11 82 55 29 4 79 56 34 13 92 73 55 38 22 7 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "40\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 6 16 27 39 12 26 1 17 34 12 31 11 32 14 37 21 6 32 19 7 36 26 17 9 2 36 31 27 24 22 21 "
}
},
{
"input": {
"stdin": "50\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 6 17 29 42 6 21 37 4 22 41 11 32 4 27 1 26 2 29 7 36 16 47 29 12 46 31 17 4 42 31 21 12 4 47 41 36 32 29 27 26 "
}
},
{
"input": {
"stdin": "95\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 11 26 42 59 77 1 21 42 64 87 16 41 67 94 27 56 86 22 54 87 26 61 2 39 77 21 61 7 49 92 41 86 37 84 37 86 41 92 49 7 61 21 77 39 2 61 26 87 54 22 86 56 27 94 67 41 16 87 64 42 21 1 77 59 42 26 11 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "90\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 2 16 31 47 64 82 11 31 52 74 7 31 56 82 19 47 76 16 47 79 22 56 1 37 74 22 61 11 52 4 47 1 46 2 49 7 56 16 67 29 82 46 11 67 34 2 61 31 2 64 37 11 76 52 29 7 76 56 37 19 2 76 61 47 34 22 11 1 82 74 67 61 56 52 49 47 46 "
}
},
{
"input": {
"stdin": "4\n"
},
"output": {
"stdout": "2 4 3 "
}
},
{
"input": {
"stdin": "5\n"
},
"output": {
"stdout": "2 4 2 1 "
}
},
{
"input": {
"stdin": "55\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 1 12 24 37 51 11 27 44 7 26 46 12 34 2 26 51 22 49 22 51 26 2 34 12 46 26 7 44 27 11 51 37 24 12 1 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "100\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 6 21 37 54 72 91 11 32 54 77 1 26 52 79 7 36 66 97 29 62 96 31 67 4 42 81 21 62 4 47 91 36 82 29 77 26 76 27 79 32 86 41 97 54 12 71 31 92 54 17 81 46 12 79 47 16 86 57 29 2 76 51 27 4 82 61 41 22 4 87 71 56 42 29 17 6 96 87 79 72 66 61 57 54 52 51 "
}
},
{
"input": {
"stdin": "97\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 9 24 40 57 75 94 17 38 60 83 10 35 61 88 19 48 78 12 44 77 14 49 85 25 63 5 45 86 31 74 21 66 15 62 13 62 15 66 21 74 31 86 45 5 63 25 85 49 14 77 44 12 78 48 19 88 61 35 10 83 60 38 17 94 75 57 40 24 9 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "20\n"
},
"output": {
"stdout": "2 4 7 11 16 2 9 17 6 16 7 19 12 6 1 17 14 12 11 "
}
},
{
"input": {
"stdin": "12\n"
},
"output": {
"stdout": "2 4 7 11 4 10 5 1 10 8 7 "
}
},
{
"input": {
"stdin": "96\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 10 25 41 58 76 95 19 40 62 85 13 38 64 91 23 52 82 17 49 82 20 55 91 32 70 13 53 94 40 83 31 76 26 73 25 74 28 79 35 88 46 5 61 22 80 43 7 68 34 1 65 34 4 71 43 16 86 61 37 14 88 67 47 28 10 89 73 58 44 31 19 8 94 85 77 70 64 59 55 52 50 49 "
}
},
{
"input": {
"stdin": "11\n"
},
"output": {
"stdout": "2 4 7 11 5 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "60\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 7 19 32 46 1 17 34 52 11 31 52 14 37 1 26 52 19 47 16 46 17 49 22 56 31 7 44 22 1 41 22 4 47 31 16 2 49 37 26 16 7 59 52 46 41 37 34 32 31 "
}
},
{
"input": {
"stdin": "7\n"
},
"output": {
"stdout": "2 4 7 4 2 1 "
}
},
{
"input": {
"stdin": "80\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 12 26 41 57 74 12 31 51 72 14 37 61 6 32 59 7 36 66 17 49 2 36 71 27 64 22 61 21 62 24 67 31 76 42 9 57 26 76 47 19 72 46 21 77 54 32 11 71 52 34 17 1 66 52 39 27 16 6 77 69 62 56 51 47 44 42 41 "
}
},
{
"input": {
"stdin": "2\n"
},
"output": {
"stdout": "2 "
}
},
{
"input": {
"stdin": "70\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 9 22 36 51 67 14 32 51 1 22 44 67 21 46 2 29 57 16 46 7 39 2 36 1 37 4 42 11 51 22 64 37 11 56 32 9 57 36 16 67 49 32 16 1 57 44 32 21 11 2 64 57 51 46 42 39 37 36 "
}
},
{
"input": {
"stdin": "99\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 7 22 38 55 73 92 13 34 56 79 4 29 55 82 11 40 70 2 34 67 2 37 73 11 49 88 29 70 13 56 1 46 92 40 88 38 88 40 92 46 1 56 13 70 29 88 49 11 73 37 2 67 34 2 70 40 11 82 55 29 4 79 56 34 13 92 73 55 38 22 7 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "35\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 2 11 21 32 9 22 1 16 32 14 32 16 1 22 9 32 21 11 2 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "96\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 10 25 41 58 76 95 19 40 62 85 13 38 64 91 23 52 82 17 49 82 20 55 91 32 70 13 53 94 40 83 31 76 26 73 25 74 28 79 35 88 46 5 61 22 80 43 7 68 34 1 65 34 4 71 43 16 86 61 37 14 88 67 47 28 10 89 73 58 44 31 19 8 94 85 77 70 64 59 55 52 50 49 "
}
},
{
"input": {
"stdin": "97\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 9 24 40 57 75 94 17 38 60 83 10 35 61 88 19 48 78 12 44 77 14 49 85 25 63 5 45 86 31 74 21 66 15 62 13 62 15 66 21 74 31 86 45 5 63 25 85 49 14 77 44 12 78 48 19 88 61 35 10 83 60 38 17 94 75 57 40 24 9 92 79 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "75\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 4 17 31 46 62 4 22 41 61 7 29 52 1 26 52 4 32 61 16 47 4 37 71 31 67 29 67 31 71 37 4 47 16 61 32 4 52 26 1 52 29 7 61 41 22 4 62 46 31 17 4 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "98\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 79 92 8 23 39 56 74 93 15 36 58 81 7 32 58 85 15 44 74 7 39 72 8 43 79 18 56 95 37 78 22 65 11 56 4 51 1 50 2 53 7 60 16 71 29 86 46 7 67 30 92 57 23 88 56 25 93 64 36 9 81 56 32 9 85 64 44 25 7 88 72 57 43 30 18 7 95 86 78 71 65 60 56 53 51 50\n"
}
},
{
"input": {
"stdin": "33\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 4 13 23 1 13 26 7 22 5 22 7 26 13 1 23 13 4 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "43\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 3 13 24 36 6 20 35 8 25 43 19 39 17 39 19 43 25 8 35 20 6 36 24 13 3 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "011\n"
},
"output": {
"stdout": "2 4 7 11 5 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "42\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 4 14 25 37 8 22 37 11 28 4 23 1 22 2 25 7 32 16 1 29 16 4 35 25 16 8 1 37 32 28 25 23 22 "
}
},
{
"input": {
"stdin": "67\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 12 25 39 54 3 20 38 57 10 31 53 9 33 58 17 44 5 34 64 28 60 26 60 28 64 34 5 44 17 58 33 9 53 31 10 57 38 20 3 54 39 25 12 67 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "59\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 8 20 33 47 3 19 36 54 14 34 55 18 41 6 31 57 25 53 23 53 25 57 31 6 41 18 55 34 14 54 36 19 3 47 33 20 8 56 46 37 29 22 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "21\n"
},
"output": {
"stdout": "2 4 7 11 16 1 8 16 4 14 4 16 8 1 16 11 7 4 2 1 "
}
},
{
"input": {
"stdin": "58\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 9 21 34 48 5 21 38 56 17 37 58 22 45 11 36 4 31 1 30 2 33 7 40 16 51 29 8 46 27 9 50 34 19 5 50 38 27 17 8 58 51 45 40 36 33 31 30 "
}
},
{
"input": {
"stdin": "76\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 3 16 30 45 61 2 20 39 59 4 26 49 73 22 48 75 27 56 10 41 73 30 64 23 59 20 58 21 61 26 68 35 3 48 18 65 37 10 60 35 11 64 42 21 1 58 40 23 7 68 54 41 29 18 8 75 67 60 54 49 45 42 40 39 "
}
},
{
"input": {
"stdin": "66\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 1 13 26 40 55 5 22 40 59 13 34 56 13 37 62 22 49 11 40 4 35 1 34 2 37 7 44 16 55 29 4 46 23 1 46 26 7 55 38 22 7 59 46 34 23 13 4 62 55 49 44 40 37 35 34 "
}
},
{
"input": {
"stdin": "77\n"
},
"output": {
"stdout": "2 4 7 11 16 22 29 37 46 56 67 2 15 29 44 60 77 18 37 57 1 23 46 70 18 44 71 22 51 4 35 67 23 57 15 51 11 49 11 51 15 57 23 67 35 4 51 22 71 44 18 70 46 23 1 57 37 18 77 60 44 29 15 2 67 56 46 37 29 22 16 11 7 4 2 1 "
}
}
] |
{
"tags": [
"brute force",
"implementation"
],
"title": "Ball Game"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\ntemplate <class T>\ninline T gcd(T a, T b) {\n if (a < 0) return gcd(-a, b);\n if (b < 0) return gcd(a, -b);\n return (b == 0) ? a : gcd(b, a % b);\n}\ntemplate <class T>\ninline T lcm(T a, T b) {\n if (a < 0) return lcm(-a, b);\n if (b < 0) return lcm(a, -b);\n return a * (b / gcd(a, b));\n}\ntemplate <class T>\nT power(T N, T P) {\n return (P == 0) ? 1 : N * power(N, P - 1);\n}\nlong long toInt64(string s) {\n long long r = 0;\n istringstream sin(s);\n sin >> r;\n return r;\n}\ndouble LOG(long long N, long long B) { return (log10l(N)) / (log10l(B)); }\nstring itoa(long long a) {\n if (a == 0) return \"0\";\n string ret;\n for (long long i = a; i > 0; i = i / 10) ret.push_back((i % 10) + 48);\n reverse(ret.begin(), ret.end());\n return ret;\n}\nvector<string> token(string a, string b) {\n const char *q = a.c_str();\n while (count(b.begin(), b.end(), *q)) q++;\n vector<string> oot;\n while (*q) {\n const char *e = q;\n while (*e && !count(b.begin(), b.end(), *e)) e++;\n oot.push_back(string(q, e));\n q = e;\n while (count(b.begin(), b.end(), *q)) q++;\n }\n return oot;\n}\nint Set(int N, int pos) { return N = N | (1 << pos); }\nint reset(int N, int pos) { return N = N & ~(1 << pos); }\nint check(int N, int pos) { return (bool)(N & (1 << pos)); }\nint toggle(int N, int pos) {\n if (check(N, pos)) return N = reset(N, pos);\n return N = Set(N, pos);\n}\nvoid pbit(int N) {\n printf(\"(\");\n for (int i = 10; i >= 0; i--) {\n bool x = check(N, i);\n cout << x;\n }\n puts(\")\");\n}\nint fx[] = {0, 0, 1, -1, 1, -1, 1, -1};\nint fy[] = {-1, 1, 0, 0, -1, -1, 1, 1};\nint main() {\n int n;\n cin >> n;\n int u = 1, c = 1;\n for (int i = 1; i <= (int)n - 1; i++) {\n for (int j = 1; j <= (int)c; j++) {\n u++;\n if (u > n) u = 1;\n }\n cout << u << \" \";\n c++;\n }\n puts(\"\");\n return 0;\n}\n",
"java": "import java.util.Scanner;\n\n\npublic class BallGame {\n String val;\n int count=0;\n String balls=\"\";\n public BallGame() {\n leer();\n\n }\n\n\n public static void main(String[] args) {\n BallGame c = new BallGame(); \n }\n public void leer(){\n Scanner s = new Scanner(System.in);\n\n do{\n val= s.nextLine();\n analizar(val);\n count+=1;\n }while(count==0);\n\n }\n public void analizar(String v){\n int a =Integer.parseInt(v);\n int num=1;\n for (int i = 1; i < a; i++) {\n if((num+i)<=a){\n\n num=num+i;\n }else{\n num=(num+i)-a;\n }\n System.out.print(num+\" \");\n }\n\n }\n}\n",
"python": "n = int(input())\n\nct = 0\nfor i in range(1, n):\n ct = (ct + i) % n\n if i == n - 1:\n print(ct + 1, end=\"\")\n else:\n print(ct + 1, end=\" \")\n"
}
|
|
|
# Vanya and Lanterns
Vanya walks late at night along a straight street of length l, lit by n lanterns. Consider the coordinate system with the beginning of the street corresponding to the point 0, and its end corresponding to the point l. Then the i-th lantern is at the point ai. The lantern lights all points of the street that are at the distance of at most d from it, where d is some positive number, common for all lanterns.
Vanya wonders: what is the minimum light radius d should the lanterns have to light the whole street?
Input
The first line contains two integers n, l (1 ≤ n ≤ 1000, 1 ≤ l ≤ 109) — the number of lanterns and the length of the street respectively.
The next line contains n integers ai (0 ≤ ai ≤ l). Multiple lanterns can be located at the same point. The lanterns may be located at the ends of the street.
Output
Print the minimum light radius d, needed to light the whole street. The answer will be considered correct if its absolute or relative error doesn't exceed 10 - 9.
Examples
Input
7 15
15 5 3 7 9 14 0
Output
2.5000000000
Input
2 5
2 5
Output
2.0000000000
Note
Consider the second sample. At d = 2 the first lantern will light the segment [0, 4] of the street, and the second lantern will light segment [3, 5]. Thus, the whole street will be lit.
|
[
{
"input": {
"stdin": "7 15\n15 5 3 7 9 14 0\n"
},
"output": {
"stdout": "2.5\n"
}
},
{
"input": {
"stdin": "2 5\n2 5\n"
},
"output": {
"stdout": "2.0\n"
}
},
{
"input": {
"stdin": "46 615683844\n431749087 271781274 274974690 324606253 480870261 401650581 13285442 478090364 266585394 425024433 588791449 492057200 391293435 563090494 317950 173675329 473068378 356306865 311731938 192959832 321180686 141984626 578985584 512026637 175885185 590844074 47103801 212211134 330150 509886963 565955809 315640375 612907074 500474373 524310737 568681652 315339618 478782781 518873818 271322031 74600969 539099112 85129347 222068995 106014720 77282307\n"
},
"output": {
"stdout": "22258199.5\n"
}
},
{
"input": {
"stdin": "2 555\n200 300\n"
},
"output": {
"stdout": "255.0\n"
}
},
{
"input": {
"stdin": "1 1\n1\n"
},
"output": {
"stdout": "1.0\n"
}
},
{
"input": {
"stdin": "1 5\n2\n"
},
"output": {
"stdout": "3.0\n"
}
},
{
"input": {
"stdin": "1 999999999\n499999999\n"
},
"output": {
"stdout": "500000000.0\n"
}
},
{
"input": {
"stdin": "4 15\n1 3 9 11\n"
},
"output": {
"stdout": "4.0\n"
}
},
{
"input": {
"stdin": "2 1000000000\n0 1000000000\n"
},
"output": {
"stdout": "500000000.0\n"
}
},
{
"input": {
"stdin": "2 1000\n400 600\n"
},
"output": {
"stdout": "400.0\n"
}
},
{
"input": {
"stdin": "5 1000\n0 250 500 750 1000\n"
},
"output": {
"stdout": "125.0\n"
}
},
{
"input": {
"stdin": "4 700\n0 250 475 700\n"
},
"output": {
"stdout": "125.0\n"
}
},
{
"input": {
"stdin": "1 1000000000\n1000000000\n"
},
"output": {
"stdout": "1000000000.0\n"
}
},
{
"input": {
"stdin": "1 1\n0\n"
},
"output": {
"stdout": "1.0\n"
}
},
{
"input": {
"stdin": "4 700\n0 225 450 700\n"
},
"output": {
"stdout": "125.0\n"
}
},
{
"input": {
"stdin": "5 2000\n1001 1001 1001 1001 1001\n"
},
"output": {
"stdout": "1001.0\n"
}
},
{
"input": {
"stdin": "1 1000000000\n0\n"
},
"output": {
"stdout": "1000000000.0\n"
}
},
{
"input": {
"stdin": "1 999\n501\n"
},
"output": {
"stdout": "501.0\n"
}
},
{
"input": {
"stdin": "7 23\n15 7 2 5 8 14 1\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "1 1000000001\n1000000000\n"
},
"output": {
"stdout": "1000000000\n"
}
},
{
"input": {
"stdin": "7 15\n15 5 5 7 1 14 0\n"
},
"output": {
"stdout": "3.5\n"
}
},
{
"input": {
"stdin": "5 3202\n1101 1001 1001 1001 0000\n"
},
"output": {
"stdout": "2101\n"
}
},
{
"input": {
"stdin": "4 1164\n1 221 475 700\n"
},
"output": {
"stdout": "464\n"
}
},
{
"input": {
"stdin": "7 23\n7 2 2 5 4 14 0\n"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "7 23\n15 7 2 5 4 14 1\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "7 15\n15 5 5 7 9 14 0\n"
},
"output": {
"stdout": "2.5\n"
}
},
{
"input": {
"stdin": "5 2000\n1001 0001 1001 1001 1000\n"
},
"output": {
"stdout": "999\n"
}
},
{
"input": {
"stdin": "7 23\n15 7 2 5 4 14 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "5 1518\n1001 0001 1001 1001 1000\n"
},
"output": {
"stdout": "517\n"
}
},
{
"input": {
"stdin": "1 3\n2\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "4 700\n0 185 475 700\n"
},
"output": {
"stdout": "145.0\n"
}
},
{
"input": {
"stdin": "7 18\n6 5 2 7 9 14 0\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "7 15\n15 5 2 7 9 14 0\n"
},
"output": {
"stdout": "2.5\n"
}
},
{
"input": {
"stdin": "7 15\n15 5 5 7 6 14 0\n"
},
"output": {
"stdout": "3.5\n"
}
},
{
"input": {
"stdin": "46 615683844\n262825022 271781274 274974690 324606253 480870261 401650581 13285442 478090364 266585394 425024433 588791449 492057200 391293435 563090494 317950 173675329 473068378 356306865 311731938 192959832 321180686 141984626 578985584 512026637 175885185 590844074 47103801 212211134 330150 509886963 565955809 315640375 612907074 500474373 524310737 568681652 315339618 478782781 518873818 271322031 74600969 539099112 85129347 222068995 106014720 77282307\n"
},
"output": {
"stdout": "24021972.5\n"
}
},
{
"input": {
"stdin": "5 2135\n1001 0001 1001 1001 1000\n"
},
"output": {
"stdout": "1134\n"
}
},
{
"input": {
"stdin": "5 3674\n1001 0001 1001 1001 1001\n"
},
"output": {
"stdout": "2673\n"
}
},
{
"input": {
"stdin": "7 23\n15 5 2 4 10 14 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "5 2000\n1000 1001 1001 1101 1001\n"
},
"output": {
"stdout": "1000.0\n"
}
},
{
"input": {
"stdin": "7 23\n15 5 2 5 10 14 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "4 700\n0 116 475 700\n"
},
"output": {
"stdout": "179.5\n"
}
},
{
"input": {
"stdin": "7 18\n15 5 2 7 9 14 0\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5 1518\n0001 0001 1001 1001 1000\n"
},
"output": {
"stdout": "517\n"
}
},
{
"input": {
"stdin": "7 15\n15 5 5 7 11 14 0\n"
},
"output": {
"stdout": "2.5\n"
}
},
{
"input": {
"stdin": "2 1050\n200 265\n"
},
"output": {
"stdout": "785\n"
}
},
{
"input": {
"stdin": "7 23\n15 5 0 7 6 11 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "1 999\n291\n"
},
"output": {
"stdout": "708\n"
}
},
{
"input": {
"stdin": "7 15\n15 9 5 7 9 14 0\n"
},
"output": {
"stdout": "2.5\n"
}
},
{
"input": {
"stdin": "7 23\n15 5 0 7 6 14 0\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "2 1010\n302 318\n"
},
"output": {
"stdout": "692\n"
}
}
] |
{
"tags": [
"binary search",
"implementation",
"math",
"sortings"
],
"title": "Vanya and Lanterns"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n, l;\n cin >> n >> l;\n int arr[n];\n for (int i = 0; i < n; i++) cin >> arr[i];\n sort(arr, arr + n);\n double ans = (double)(arr[0] - 0);\n for (int i = 1; i < n; i++) {\n if ((double)(arr[i] - arr[i - 1]) / 2 > ans)\n ans = (double)(arr[i] - arr[i - 1]) / 2;\n }\n if ((double)(l - arr[n - 1]) > ans) ans = (double)(l - arr[n - 1]);\n printf(\"%.9f\\n\", ans);\n}\n",
"java": "\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.io.IOException;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\npublic class B492{\n\tpublic static void main(String[] args){\n\t\tInputReader in = new InputReader();\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\tfinal long start = System.currentTimeMillis();\n\t\tnew Task1().solve(in, out);\n\t\tfinal long duration = System.currentTimeMillis()-start;\n\t\tout.close();\n\t}\n\n\tstatic class Task1{\n\t\tpublic void solve(InputReader in, PrintWriter out){\n\t\t\tint n=in.nextInt(), l=in.nextInt();\n\t\t\tint[] a=new int[n];\n\t\t\tfor(int i=0; i<n; i++){\n\t\t\t\ta[i]=in.nextInt();\n\t\t\t}\n\n\t\t\tjava.util.Arrays.parallelSort(a);\n\t\t\tlong d1 = 2*(a[0]-0), d2=2*(l-a[n-1]);\n\t\t\tlong ans=Math.max(d1,d2);\n\t\t\tfor(int i=1; i<n; i++){\n\t\t\t\tans = Math.max(ans, a[i]-a[i-1]);\n\t\t\t}\n\n\t\t\tout.println(((double)ans)/2);\n\t\t}\n\t}\n\n\tstatic class InputReader{\n\t\tprivate BufferedReader reader;\n\t\tprivate StringTokenizer tokenizer;\n\t\t\n\t\tpublic InputReader(){\n\t\t\treader = new BufferedReader(new InputStreamReader(System.in));\n\t\t\ttokenizer = null;\n\t\t}\n\n\t\tpublic String next(){\n\t\t\twhile(tokenizer==null || !tokenizer.hasMoreTokens()){\n\t\t\t\ttry{\n\t\t\t\t\ttokenizer = new StringTokenizer(reader.readLine());\n\t\t\t\t} catch (IOException e){\n\t\t\t\t\tthrow new RuntimeException(e);\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn tokenizer.nextToken();\n\t\t}\n\n\t\tpublic int nextInt(){\n\t\t\treturn (int)Integer.parseInt(next());\n\t\t}\n\n\t\tpublic long nextLong(){\n\t\t\treturn (long)Long.parseLong(next());\n\t\t}\n\n\t\tpublic double nextDouble(){\n\t\t\treturn (double)Double.parseDouble(next());\n\t\t}\n\n\t\tpublic String nextLine(){\n\t\t\tString s = null;\n\t\t\ttry{\n\t\t\t\ts = reader.readLine();\n\t\t\t} catch(Exception e){\n\t\t\t\tthrow new RuntimeException(e);\n\t\t\t}\n\t\t\treturn s;\n\t\t}\n\t}\n}",
"python": "n,l=map(int,input().split())\na=list(map(float,input().split()))\na.sort()\nif a[0]-0>l-a[n-1]:\n\tmax=a[0]-0\nelse:\n\tmax=l-a[n-1]\t\nfor i in range(n-1):\n\tif (a[i+1]-a[i])/2>max:\n\t\tmax=(a[i+1]-a[i])/2\nprint(max)\n"
}
|
|
|
# Drazil and Factorial
Drazil is playing a math game with Varda.
Let's define <image> for positive integer x as a product of factorials of its digits. For example, <image>.
First, they choose a decimal number a consisting of n digits that contains at least one digit larger than 1. This number may possibly start with leading zeroes. Then they should find maximum positive number x satisfying following two conditions:
1. x doesn't contain neither digit 0 nor digit 1.
2. <image> = <image>.
Help friends find such number.
Input
The first line contains an integer n (1 ≤ n ≤ 15) — the number of digits in a.
The second line contains n digits of a. There is at least one digit in a that is larger than 1. Number a may possibly contain leading zeroes.
Output
Output a maximum possible integer satisfying the conditions above. There should be no zeroes and ones in this number decimal representation.
Examples
Input
4
1234
Output
33222
Input
3
555
Output
555
Note
In the first case, <image>
|
[
{
"input": {
"stdin": "4\n1234\n"
},
"output": {
"stdout": "33222\n"
}
},
{
"input": {
"stdin": "3\n555\n"
},
"output": {
"stdout": "555\n"
}
},
{
"input": {
"stdin": "15\n987654329876543\n"
},
"output": {
"stdout": "777777555533333333332222222222222\n"
}
},
{
"input": {
"stdin": "1\n4\n"
},
"output": {
"stdout": "322\n"
}
},
{
"input": {
"stdin": "15\n028745260720699\n"
},
"output": {
"stdout": "7777755533333332222222222\n"
}
},
{
"input": {
"stdin": "1\n9\n"
},
"output": {
"stdout": "7332\n"
}
},
{
"input": {
"stdin": "8\n68931246\n"
},
"output": {
"stdout": "77553333332222222\n"
}
},
{
"input": {
"stdin": "2\n26\n"
},
"output": {
"stdout": "532\n"
}
},
{
"input": {
"stdin": "1\n2\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "9\n987654321\n"
},
"output": {
"stdout": "77755333332222222\n"
}
},
{
"input": {
"stdin": "1\n8\n"
},
"output": {
"stdout": "7222\n"
}
},
{
"input": {
"stdin": "2\n99\n"
},
"output": {
"stdout": "77333322\n"
}
},
{
"input": {
"stdin": "10\n3312667105\n"
},
"output": {
"stdout": "755533332\n"
}
},
{
"input": {
"stdin": "5\n99999\n"
},
"output": {
"stdout": "77777333333333322222\n"
}
},
{
"input": {
"stdin": "1\n6\n"
},
"output": {
"stdout": "53\n"
}
},
{
"input": {
"stdin": "15\n012345781234578\n"
},
"output": {
"stdout": "7777553333222222222222\n"
}
},
{
"input": {
"stdin": "9\n234567899\n"
},
"output": {
"stdout": "777755333333322222222\n"
}
},
{
"input": {
"stdin": "3\n915\n"
},
"output": {
"stdout": "75332\n"
}
},
{
"input": {
"stdin": "13\n5761790121605\n"
},
"output": {
"stdout": "7775555333322\n"
}
},
{
"input": {
"stdin": "1\n5\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "13\n1337251172966\n"
},
"output": {
"stdout": "777555333333222\n"
}
},
{
"input": {
"stdin": "10\n1234567899\n"
},
"output": {
"stdout": "777755333333322222222\n"
}
},
{
"input": {
"stdin": "5\n97715\n"
},
"output": {
"stdout": "7775332\n"
}
},
{
"input": {
"stdin": "10\n1413472614\n"
},
"output": {
"stdout": "75333332222222\n"
}
},
{
"input": {
"stdin": "2\n66\n"
},
"output": {
"stdout": "5533\n"
}
},
{
"input": {
"stdin": "2\n95\n"
},
"output": {
"stdout": "75332\n"
}
},
{
"input": {
"stdin": "7\n4424368\n"
},
"output": {
"stdout": "75333332222222222\n"
}
},
{
"input": {
"stdin": "1\n3\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "15\n999999999999990\n"
},
"output": {
"stdout": "77777777777777333333333333333333333333333322222222222222\n"
}
},
{
"input": {
"stdin": "4\n6666\n"
},
"output": {
"stdout": "55553333\n"
}
},
{
"input": {
"stdin": "15\n989898989898989\n"
},
"output": {
"stdout": "777777777777777333333333333333322222222222222222222222222222\n"
}
},
{
"input": {
"stdin": "1\n7\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "6\n576825\n"
},
"output": {
"stdout": "7755532222\n"
}
},
{
"input": {
"stdin": "3\n666\n"
},
"output": {
"stdout": "555333\n"
}
},
{
"input": {
"stdin": "9\n123456789\n"
},
"output": {
"stdout": "77755333332222222\n"
}
},
{
"input": {
"stdin": "3\n999\n"
},
"output": {
"stdout": "777333333222\n"
}
},
{
"input": {
"stdin": "2\n09\n"
},
"output": {
"stdout": "7332\n"
}
},
{
"input": {
"stdin": "6\n555777\n"
},
"output": {
"stdout": "777555\n"
}
},
{
"input": {
"stdin": "12\n836544897832\n"
},
"output": {
"stdout": "77777553333333222222222222222\n"
}
},
{
"input": {
"stdin": "15\n000000000000007\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "14\n11122233344455\n"
},
"output": {
"stdout": "55333333222222222\n"
}
},
{
"input": {
"stdin": "4\n9754\n"
},
"output": {
"stdout": "775333222\n"
}
},
{
"input": {
"stdin": "2\n21\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "10\n7612478255\n"
},
"output": {
"stdout": "777555332222222\n"
}
},
{
"input": {
"stdin": "7\n9751264\n"
},
"output": {
"stdout": "775533332222\n"
}
},
{
"input": {
"stdin": "10\n3754188451\n"
},
"output": {
"stdout": "777553332222222222\n"
}
},
{
"input": {
"stdin": "6\n838586\n"
},
"output": {
"stdout": "7775533222222222\n"
}
},
{
"input": {
"stdin": "2\n28\n"
},
"output": {
"stdout": "72222\n"
}
},
{
"input": {
"stdin": "2\n14\n"
},
"output": {
"stdout": "322\n"
}
},
{
"input": {
"stdin": "4\n9981\n"
},
"output": {
"stdout": "777333322222\n"
}
}
] |
{
"tags": [
"greedy",
"math",
"sortings"
],
"title": "Drazil and Factorial"
}
|
{
"cpp": "#include <bits/stdc++.h>\nint n;\nchar str[20];\nint dp[107][64][17][17];\nbool visited[107][64][17][17];\nint ar[10][4], primes[] = {2, 3, 5, 7};\nvoid Generate() {\n memset(ar, 0, sizeof(ar));\n int i, j, k;\n for (i = 2; i < 10; i++) {\n int x = i;\n for (k = 0; k < 4; k++) {\n while ((x % primes[k]) == 0) {\n x /= primes[k];\n ar[i][k]++;\n }\n ar[i][k] += ar[i - 1][k];\n }\n }\n}\nint F(int rem[4]) {\n if (!rem[0] && !rem[1] && !rem[2] && !rem[3]) return 0;\n if (visited[rem[0]][rem[1]][rem[2]][rem[3]])\n return dp[rem[0]][rem[1]][rem[2]][rem[3]];\n int temp[4] = {0};\n int i, j, x, res = (-(1 << 25));\n for (i = 9; i > 1; i--) {\n bool flag = true;\n for (j = 0; j < 4; j++) {\n temp[j] = rem[j] - ar[i][j];\n if (temp[j] < 0) {\n flag = false;\n break;\n }\n }\n if (flag) {\n int x = 1 + F(temp);\n if (x > res) {\n res = x;\n }\n }\n }\n visited[rem[0]][rem[1]][rem[2]][rem[3]] = true;\n return (dp[rem[0]][rem[1]][rem[2]][rem[3]] = res);\n}\nvoid backtrack(int rem[4]) {\n if (!rem[0] && !rem[1] && !rem[2] && !rem[3]) return;\n int temp[4] = {0};\n int i, j, x, idx, res = (-(1 << 25));\n for (i = 9; i > 1; i--) {\n bool flag = true;\n for (j = 0; j < 4; j++) {\n temp[j] = rem[j] - ar[i][j];\n if (temp[j] < 0) {\n flag = false;\n break;\n }\n }\n if (flag) {\n int x = 1 + F(temp);\n if (x > res) {\n res = x;\n idx = i;\n }\n }\n }\n printf(\"%d\", idx);\n i = idx;\n for (j = 0; j < 4; j++) {\n temp[j] = rem[j] - ar[i][j];\n }\n backtrack(temp);\n}\nint main() {\n Generate();\n int i, j, k, rem[4] = {0};\n while (scanf(\"%d\", &n) != EOF) {\n scanf(\"%s\", str);\n memset(rem, 0, sizeof(rem));\n for (i = 0; i < n; i++) {\n int x = str[i] - 48;\n for (j = 0; j < 4; j++) {\n rem[j] += ar[x][j];\n }\n }\n memset(visited, 0, sizeof(visited));\n int res = F(rem);\n backtrack(rem);\n puts(\"\");\n }\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\n\npublic class Main {\n\tpublic static void main(String [] args) throws IOException{\n\t\tScanner in = new Scanner(System.in);\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\tint n = in.nextInt();\n\t\tString st = in.next();\n\t\tint a[] = new int[10];\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tint m = new Integer(\"\" + st.charAt(i));\n\t\t\tint k = 2;\n\t\t\tint s = 1;\n\t\t\tfor (int j=2;j<=m;j++)\n\t\t\t\ts *= j;\n\t\t\twhile (s > 1) {\n\t\t\t\tif (s % k == 0) {\n\t\t\t\t\ts/= k;\n\t\t\t\t\ta[k]++;\n\t\t\t\t} else {\n\t\t\t\t\tk++;\n\t\t\t\t}\n\t\t\t}\t \n\t\t}\n\t\tfor (int i=0;i<10;i++) {\n\t\t\t//out.println(i + \" \" + a[i]);\n\t\t}\n\t\tfor (int i = 7; i > 1; i--) {\n\t\t\t//out.println(i + \" > \" + a[i]);\n\t\t\tfor(int j = 0; j < a[i]; j++)\n\t\t\t\tout.print(i);\n\t\t\tfor (int j = i-1;j>1;j--) { \n\t\t\t\tif (i == 7) {\n\t\t\t\t\tif (j == 2) a[j] -= 4 * a[i]; else\n\t\t\t\t\tif (j == 3) a[j] -= 2 * a[i]; else\n\t\t\t\t\ta[j] -= a[i];\n\t\t\t\t} else\n\t\t\t\tif (i == 5) {\n\t\t\t\t\tif (j == 2) a[j] -= 3 * a[i]; else\n\t\t\t\t\ta[j] -= a[i];\n\t\t\t\t\t//out.println(i + \" \" + j + \" \" + a[j]);\n\t\t\t\t} else\n\t\t\t\tif (i == 3) {\n\t\t\t\t\ta[j] -= a[i];\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tout.close();\n\t}\n}",
"python": "n = map (int, raw_input ().split())\ns = raw_input()\n\nw = [\"\", \"\", \"2\", \"3\", \"223\", \"5\", \"35\", \"7\", \"2227\", \"2337\"]\nq = \"\"\nfor i in s:\n q = q + (w[int (i)])\nprint ''.join (sorted(q)[::-1])\n"
}
|
|
|
# Writing Code
Programmers working on a large project have just received a task to write exactly m lines of code. There are n programmers working on a project, the i-th of them makes exactly ai bugs in every line of code that he writes.
Let's call a sequence of non-negative integers v1, v2, ..., vn a plan, if v1 + v2 + ... + vn = m. The programmers follow the plan like that: in the beginning the first programmer writes the first v1 lines of the given task, then the second programmer writes v2 more lines of the given task, and so on. In the end, the last programmer writes the remaining lines of the code. Let's call a plan good, if all the written lines of the task contain at most b bugs in total.
Your task is to determine how many distinct good plans are there. As the number of plans can be large, print the remainder of this number modulo given positive integer mod.
Input
The first line contains four integers n, m, b, mod (1 ≤ n, m ≤ 500, 0 ≤ b ≤ 500; 1 ≤ mod ≤ 109 + 7) — the number of programmers, the number of lines of code in the task, the maximum total number of bugs respectively and the modulo you should use when printing the answer.
The next line contains n space-separated integers a1, a2, ..., an (0 ≤ ai ≤ 500) — the number of bugs per line for each programmer.
Output
Print a single integer — the answer to the problem modulo mod.
Examples
Input
3 3 3 100
1 1 1
Output
10
Input
3 6 5 1000000007
1 2 3
Output
0
Input
3 5 6 11
1 2 1
Output
0
|
[
{
"input": {
"stdin": "3 6 5 1000000007\n1 2 3\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 3 3 100\n1 1 1\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "3 5 6 11\n1 2 1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "100 100 100 960694994\n1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1\n"
},
"output": {
"stdout": "527886216\n"
}
},
{
"input": {
"stdin": "1 1 1 1\n2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 3 3 1000\n1 2\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 1 0 1000\n0\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 5 1 10\n1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "29 157 50 1\n3 0 0 3 1 1 2 0 4 4 1 2 2 1 0 0 2 0 3 2 2 3 3 1 4 1 1 4 1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 500 50 10000\n0 50\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1 1 1 1\n0\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1 5 5 1000\n1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 4 25 1000\n6\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "10 9 20 48620\n1 1 1 1 1 1 1 1 2 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "21 63 40 1009\n4 4 2 2 4 4 3 2 4 2 0 3 3 4 3 4 3 0 4 2 4\n"
},
"output": {
"stdout": "1002\n"
}
},
{
"input": {
"stdin": "1 5 5 1000\n500\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "2 500 250 100\n100 200\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 10 10 150691913\n8 7 10\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "100 500 500 1000000007\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n"
},
"output": {
"stdout": "925584498\n"
}
},
{
"input": {
"stdin": "100 500 499 1000000007\n72 20 34 92 65 29 40 41 18 16 86 14 88 37 31 11 39 91 13 43 47 73 80 35 62 12 9 81 55 66 54 2 50 57 8 25 98 58 0 15 93 78 61 17 84 48 42 38 63 68 7 59 90 89 28 49 53 71 51 83 75 67 64 95 70 3 32 85 69 99 33 79 26 56 10 23 87 19 45 94 44 82 22 27 6 52 21 1 5 74 96 77 76 24 4 46 30 36 97 60\n"
},
"output": {
"stdout": "416898599\n"
}
},
{
"input": {
"stdin": "123 432 342 1000000007\n72 20 34 115 65 29 114 41 18 16 122 104 88 37 119 11 108 91 13 110 47 73 80 35 62 12 9 116 55 66 54 113 50 57 8 25 98 105 0 120 93 78 61 17 84 48 42 106 63 103 7 59 90 89 28 49 53 71 51 83 75 67 64 95 107 3 32 85 69 99 33 79 109 56 10 23 87 19 121 94 44 82 102 27 112 52 21 1 5 74 117 111 76 24 4 101 30 36 97 60 92 46 22 68 118 58 38 70 39 26 43 77 6 2 40 100 81 96 14 31 15 45 86\n"
},
"output": {
"stdout": "902925242\n"
}
},
{
"input": {
"stdin": "100 500 500 895583345\n20 39 5 5 41 47 36 33 34 22 21 33 7 4 15 35 16 37 39 46 27 4 12 35 43 26 23 40 16 50 27 7 49 28 17 28 16 22 18 12 25 34 28 24 10 21 38 10 40 50 35 18 23 38 10 42 22 19 24 45 33 34 50 24 29 36 39 11 37 18 10 2 9 38 17 36 49 1 32 6 20 5 37 18 31 44 1 36 24 35 13 35 8 10 26 45 43 28 38 22\n"
},
"output": {
"stdout": "501\n"
}
},
{
"input": {
"stdin": "123 432 342 1000000007\n72 20 34 115 65 29 114 41 18 16 122 104 88 37 119 11 108 91 13 110 47 73 80 35 62 12 9 116 55 66 54 113 50 57 8 25 14 105 1 120 93 124 61 17 84 48 42 12 63 103 7 59 150 89 28 49 53 71 51 83 75 67 64 95 107 3 32 85 69 99 33 79 109 56 10 23 87 19 121 94 44 82 102 27 112 52 21 1 5 74 117 111 76 24 4 101 30 36 97 60 92 46 22 68 118 58 38 70 39 26 43 77 6 2 40 100 81 96 14 31 15 45 86\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "2 500 50 10000\n0 84\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "123 432 342 1000000007\n72 20 34 115 65 29 114 41 18 16 122 104 88 37 119 11 108 91 13 110 47 73 80 35 62 12 9 116 55 66 54 113 50 57 8 25 98 105 0 120 93 78 61 17 84 48 42 106 63 103 7 59 150 89 28 49 53 71 51 83 75 67 64 95 107 3 32 85 69 99 33 79 109 56 10 23 87 19 121 94 44 82 102 27 112 52 21 1 5 74 117 111 76 24 4 101 30 36 97 60 92 46 22 68 118 58 38 70 39 26 43 77 6 2 40 100 81 96 14 31 15 45 86\n"
},
"output": {
"stdout": "284221765"
}
},
{
"input": {
"stdin": "100 500 500 895583345\n20 39 5 5 41 47 36 33 34 22 21 33 7 4 15 35 16 37 39 46 27 4 12 35 43 26 23 40 16 50 27 7 49 28 17 28 16 22 18 12 25 34 28 24 10 21 38 10 40 50 35 18 23 38 10 42 22 19 24 45 33 34 50 24 29 36 39 11 37 18 10 2 9 38 17 36 49 1 32 6 20 5 37 14 31 44 1 36 24 35 13 35 8 10 26 45 43 28 38 22\n"
},
"output": {
"stdout": "501"
}
},
{
"input": {
"stdin": "100 100 100 960694994\n1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1\n"
},
"output": {
"stdout": "527886216"
}
},
{
"input": {
"stdin": "1 1 1 1001\n0\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "1 1 0 1\n0\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1 6 5 1011\n500\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "21 55 20 1009\n8 4 2 2 4 4 3 2 4 2 0 3 3 4 3 0 3 0 4 2 4\n"
},
"output": {
"stdout": "902"
}
},
{
"input": {
"stdin": "29 157 50 1\n3 0 0 3 1 1 2 0 4 4 1 2 2 1 0 0 2 0 3 0 2 3 3 0 4 1 1 4 1\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "3 6 0 1916151952\n1 1 4\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1 4 7 1000\n6\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "3 6 0 1000000007\n1 1 4\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "3 5 5 11\n1 2 1\n"
},
"output": {
"stdout": "6"
}
},
{
"input": {
"stdin": "100 500 500 895583345\n20 39 5 5 41 47 36 33 34 22 21 33 7 4 15 35 16 37 39 46 27 4 12 35 43 26 23 40 16 50 27 7 49 28 17 28 16 22 18 12 25 34 28 24 10 21 38 10 40 50 35 18 23 38 10 42 22 19 24 45 33 34 50 24 29 36 39 11 37 18 10 2 9 38 17 36 49 1 32 1 40 5 37 14 31 44 1 66 24 35 13 35 8 10 26 45 43 28 38 22\n"
},
"output": {
"stdout": "125751"
}
},
{
"input": {
"stdin": "100 261 500 1000000007\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n"
},
"output": {
"stdout": "855003392"
}
},
{
"input": {
"stdin": "1 5 5 5\n1 3 0\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "1 5 5 11\n1 2 1\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "1 2 1 2\n2\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "100 100 100 960694994\n1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1\n"
},
"output": {
"stdout": "527886216"
}
},
{
"input": {
"stdin": "1 1 0 1000\n1\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "3 6 5 1000000007\n1 2 4\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1 4 0 1000\n6\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "1 5 5 5\n1 2 0\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "100 500 499 1000000007\n72 20 34 92 65 29 40 41 18 16 86 14 88 37 59 11 39 91 13 43 47 73 80 35 62 12 9 81 55 66 54 2 50 57 8 25 98 58 0 15 93 78 61 17 84 48 42 38 63 68 2 59 90 89 28 49 53 71 51 83 75 67 64 95 70 3 32 85 69 99 33 79 26 56 10 23 87 19 45 94 44 151 22 27 6 52 21 1 5 74 96 77 76 24 4 46 30 36 97 60\n"
},
"output": {
"stdout": "346998164"
}
},
{
"input": {
"stdin": "1 6 5 1000\n500\n"
},
"output": {
"stdout": "0"
}
},
{
"input": {
"stdin": "100 500 499 1000000007\n72 20 34 92 65 29 40 41 18 16 86 14 88 37 59 11 39 91 13 43 47 73 80 35 62 12 9 81 55 66 54 2 50 57 8 25 98 58 0 15 93 78 61 17 84 48 42 38 63 68 2 59 90 89 28 49 53 71 51 83 75 67 64 95 70 3 32 85 69 99 33 79 26 56 10 23 87 19 45 94 44 151 28 27 6 52 21 1 4 74 96 77 76 24 4 46 30 36 97 60\n"
},
"output": {
"stdout": "560470608"
}
},
{
"input": {
"stdin": "1 2 0 1001\n1\n"
},
"output": {
"stdout": "0"
}
}
] |
{
"tags": [
"dp"
],
"title": "Writing Code"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long int mod;\nlong long int a[550];\nlong long int dp[2][501][501];\nint main() {\n long long int n, m, i, j, ans, b, z, k;\n memset(dp, 0, sizeof(dp));\n scanf(\"%lld\", &n);\n scanf(\"%lld\", &m);\n scanf(\"%lld\", &b);\n scanf(\"%lld\", &mod);\n dp[0][0][0] = 1;\n for (i = 1; i <= n; i++) scanf(\"%lld\", &a[i]);\n for (i = 1; i <= n; i++) {\n z = i & 1;\n for (j = 0; j <= m; j++) {\n for (k = 0; k <= b; k++) {\n dp[z][j][k] = dp[z ^ 1][j][k];\n if (a[i] <= k && j)\n dp[z][j][k] = (dp[z][j][k] + dp[z][j - 1][k - a[i]]) % mod;\n }\n }\n }\n ans = 0;\n z = n % 2;\n for (i = 0; i <= b; i++) ans = (ans + dp[z][m][i]) % mod;\n printf(\"%lld\\n\", ans);\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\nimport java.math.*;\npublic class Solution{\n public static void main(String[] args)throws IOException{\n BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n PrintWriter out = new PrintWriter(System.out);\n StringTokenizer st = new StringTokenizer(br.readLine());\n int n = Integer.parseInt(st.nextToken());\n int m = Integer.parseInt(st.nextToken());\n int b = Integer.parseInt(st.nextToken());\n long mod = Long.parseLong(st.nextToken());\n st = new StringTokenizer(br.readLine());\n int[] a = new int[n];\n for(int i=0;i<n;i++) a[i] = Integer.parseInt(st.nextToken());\n long[][] res = new long[m+1][b+1];\n res[0][0] = 1;\n for(int k=0;k<n;k++){\n for(int i=1;i<=m;i++){\n for(int j=a[k];j<=b;j++){\n res[i][j] += res[i-1][j-a[k]];\n res[i][j]%=mod;\n }\n }\n }\n long sum = 0;\n for(int i=0;i<=b;i++){\n sum += res[m][i];\n sum %= mod;\n }\n out.println(sum);\n out.flush();\n }\n}",
"python": "# Author : nitish420 --------------------------------------------------------------------\nimport os\nimport sys\nfrom io import BytesIO, IOBase\n\ndef main():\n\tn,m,b,mod=map(int,input().split())\n\tarr=list(map(int,input().split()))\n\n\tdp=[[0 for _ in range(b+1)] for _ in range(m+1)]\n\tdp[0]=[1]*(b+1)\n\n\n\n\tfor item in arr:\n\t\tfor x in range(1,m+1):\n\t\t\tfor y in range(item,b+1):\n\t\t\t\tdp[x][y]=(dp[x][y]+dp[x-1][y-item])%mod\n\n\tprint(dp[m][b])\n\n\n# region fastio\n\nBUFSIZE = 8192\n\n\nclass FastIO(IOBase):\n\tnewlines = 0\n\n\tdef __init__(self, file):\n\t\tself._fd = file.fileno()\n\t\tself.buffer = BytesIO()\n\t\tself.writable = 'x' in file.mode or 'r' not in file.mode\n\t\tself.write = self.buffer.write if self.writable else None\n\n\tdef read(self):\n\t\twhile True:\n\t\t\tb = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n\t\t\tif not b:\n\t\t\t\tbreak\n\t\t\tptr = self.buffer.tell()\n\t\t\tself.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n\t\tself.newlines = 0\n\t\treturn self.buffer.read()\n\n\tdef readline(self):\n\t\twhile self.newlines == 0:\n\t\t\tb = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n\t\t\tself.newlines = b.count(b'\\n') + (not b)\n\t\t\tptr = self.buffer.tell()\n\t\t\tself.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n\t\tself.newlines -= 1\n\t\treturn self.buffer.readline()\n\n\tdef flush(self):\n\t\tif self.writable:\n\t\t\tos.write(self._fd, self.buffer.getvalue())\n\t\t\tself.buffer.truncate(0), self.buffer.seek(0)\n\n\nclass IOWrapper(IOBase):\n\tdef __init__(self, file):\n\t\tself.buffer = FastIO(file)\n\t\tself.flush = self.buffer.flush\n\t\tself.writable = self.buffer.writable\n\t\tself.write = lambda s: self.buffer.write(s.encode('ascii'))\n\t\tself.read = lambda: self.buffer.read().decode('ascii')\n\t\tself.readline = lambda: self.buffer.readline().decode('ascii')\n\n\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip('\\r\\n')\n\n\n# endregion\n\nif __name__ == '__main__':\n\tmain()"
}
|
|
|
# Corporation Mail
The Beroil corporation structure is hierarchical, that is it can be represented as a tree. Let's examine the presentation of this structure as follows:
* employee ::= name. | name:employee1,employee2, ... ,employeek.
* name ::= name of an employee
That is, the description of each employee consists of his name, a colon (:), the descriptions of all his subordinates separated by commas, and, finally, a dot. If an employee has no subordinates, then the colon is not present in his description.
For example, line MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY... is the correct way of recording the structure of a corporation where the director MIKE has subordinates MAX, ARTEM and DMITRY. ARTEM has a subordinate whose name is MIKE, just as the name of his boss and two subordinates of DMITRY are called DMITRY, just like himself.
In the Beroil corporation every employee can only correspond with his subordinates, at that the subordinates are not necessarily direct. Let's call an uncomfortable situation the situation when a person whose name is s writes a letter to another person whose name is also s. In the example given above are two such pairs: a pair involving MIKE, and two pairs for DMITRY (a pair for each of his subordinates).
Your task is by the given structure of the corporation to find the number of uncomfortable pairs in it.
<image>
Input
The first and single line contains the corporation structure which is a string of length from 1 to 1000 characters. It is guaranteed that the description is correct. Every name is a string consisting of capital Latin letters from 1 to 10 symbols in length.
Output
Print a single number — the number of uncomfortable situations in the company.
Examples
Input
MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY...
Output
3
Input
A:A..
Output
1
Input
A:C:C:C:C.....
Output
6
|
[
{
"input": {
"stdin": "MIKE:MAX.,ARTEM:MIKE..,DMITRY:DMITRY.,DMITRY...\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "A:C:C:C:C.....\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "A:A..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "VEEMU:VEEMU:GTE:GTE:KZZEDTUECE:VEEMU:GTE:CGOZKO:CGOZKO:GTE:ZZNAY.,GTE:MHMBC:GTE:VEEMU:CGOZKO:VEEMU:VEEMU.,CGOZKO:ZZNAY..................\n"
},
"output": {
"stdout": "36\n"
}
},
{
"input": {
"stdin": "V:V:V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V..,V:V.,V.,V.,V..,V:V.,V.,V.,V.,V..,V:V.,V.,V..,V:V..,V:V.,V..,V.,V:V..,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V.,V..\n"
},
"output": {
"stdout": "134\n"
}
},
{
"input": {
"stdin": "FHMULVSDP:FHMULVSDP:FHMULVSDP:FHMULVSDP..,FHMULVSDP...\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "Z:NEY:DL:TTKMDPVN.,TTKMDPVN:AMOX:GKDGHYO:DEZEYWDYEX.,PXUVUT:QEIAXOXHZR.....,WYUQVE:XTJRQMQPJ:NMC..,OZFRSSAZY...,NEY:XTJRQMQPJ:QEIAXOXHZR:DL...,A.,JTI..,GZWGZFYQ:CMRRM:NEY:GZWGZFYQ.,BYJEO..,RRANVKZKLP:ZFWEDY...,TTKMDPVN:A:A.,URISSHYFO:QXWE.....,WTXOTXGTZ.,A:DEZEYWDYEX.,OZFRSSAZY:CWUPIW..,RRANVKZKLP:DEZEYWDYEX:A:WTXOTXGTZ..,CMRRM...,WYUQVE...,TRQDYZVY:VF..,WYUQVE..\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "DCMEHQUK:QRTMRD:INZPGQ:ETO:QRTMRD:IK:CLADXUDO:RBXLIZ.,HXZEVZAVQ:HXZEVZAVQ:VLLQPTOJ:QRTMRD:IK:RBXLIZ:CLADXUDO.,DCMEHQUK....,INZPGQ:CLADXUDO:HXZEVZAVQ..,UQZACQ....,INZPGQ:VLLQPTOJ:DCMEHQUK....,XTWJ........\n"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "GIRRY.\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "XGB:QJNGARRAZV:DWGDCCU:ARDKJV:P:MXBLZKLPYI:FKSBDQVXH:FKSBDQVXH:MXBLZKLPYI..,DWGDCCU..,P...,FKSBDQVXH....,ARDKJV..\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "BZSBQVEUZK:GW:IJXBZZR:Q:TTTUZKB:IJXBZZR..,KPMRUKBRJ.,DJJTU..,DJJTU..,SFMVKQPXS.,TTTUZKB:AE..,Q..,VHOCZVQZF:VHOCZVQZF:DJJTU:AE:XVG:GW.,BZSBQVEUZK..,DJJTU..,SFMVKQPXS.,CUUSFRK..,DJJTU..,VHOCZVQZF:AE:TTTUZKB...,TTTUZKB.,PNETLABTTQ.,VHOCZVQZF..,Q:QLQL:IJXBZZR.,Q:KPMRUKBRJ:GW..,Q:BZSBQVEUZK..,Q...,BZSBQVEUZK:DJJTU..,DJJTU:Q:KPMRUKBRJ.,AE..,QLQL:U..,XVG..,XVG:GW:KPMRUKBRJ.,Q:AE...,IJXBZZR.,VHOCZVQZF..,XVG:XVG:SFMVKQPXS:SFMVKQPXS:PNETLABTTQ..,IJXBZZR.....,AE..\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "RHLGWEVBJ:KAWUINWEI:KAWUINWEI..,ZQATMW.,KAWUINWEI.,RSWN..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "UTQJYDWLRU:AAQESABBIV:ES:S:AAQESABBIV.,ZAJSINN..,MOLZWDPVYT.,MOLZWDPVYT..,KHYPOOUNR:KHYPOOUNR...,ZJXBUI:INOMNMT.,NEQK:USRBDKJXHI.,AWJAV:S:OUHETS...,BRXKYBJD.,S..,NEQK:ES.,ZJXBUI:YNJA...,AWJAV.,OCC:INOMNMT..,OCC.,UTQJYDWLRU..,MOLZWDPVYT:ES:YNJA.,YIWBP.,NAYUL.,USRBDKJXHI..,YNJA.,MOLZWDPVYT.,UTQJYDWLRU..,S:UTQJYDWLRU:NAYUL:USRBDKJXHI...,MOLZWDPVYT:BRXKYBJD..,YIWBP.,ES.,NAYUL:OCC...,OUHETS.,UTQJYDWLRU..\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "CK:CK.,CK.,CK..\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "ZTWZXUB:E:E:ZTWZXUB:ZTWZXUB:E..,E.,ZTWZXUB..,E..,ZTWZXUB:E:E...,AUVIDATFD:AUVIDATFD:AUVIDATFD..,ZTWZXUB...,E:ZTWZXUB:E.,E..,ZTWZXUB:E:E..,E..,ZTWZXUB:E.,E...,AUVIDATFD:E:AUVIDATFD..,E:E:AUVIDATFD.,E..,ZTWZXUB:AUVIDATFD...,E.,E..,E:AUVIDATFD.,ZTWZXUB:E...,E:ZTWZXUB.,E..,AUVIDATFD..\n"
},
"output": {
"stdout": "42\n"
}
},
{
"input": {
"stdin": "UWEJCOA:PPFWB:GKWVDKH:UWEJCOA..,QINJL.,ZVLULGYCBJ..,D:D..,EFEHJKNH:QINJL.,GKWVDKH..,NLBPAHEH.,PPFWB.,MWRKW.,UWEJCOA.,QINJL..\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "TP:ZIEIN:TP.,ZIEIN:RHHYDAYV....\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "WCBHC:PDNTT:WCBHC:WCBHC:PDNTT:JOVEH:PDNTT:MPQPQVD:MPQPQVD:MSYRLMSCL:WCBHC:PHQUHCZ:PHQUHCZ:JOVEH:VWCWBJRF:WCBHC:VWCWBJRF:WCBHC:JOVEH:JOVEH....................\n"
},
"output": {
"stdout": "27\n"
}
},
{
"input": {
"stdin": "FWYOOG:NJBFIOD:FWYOOG..,DH.,TSPKXXXE.,YMMMGNYBDC.,YMMMGNYBDC.,YMMMGNYBDC.,YMMMGNYBDC.,NJBFIOD..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "HINLHUMDSC:HINLHUMDSC.,HINLHUMDSC:HINLHUMDSC..,HINLHUMDSC.,HINLHUMDSC.,HINLHUMDSC..\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "PYDMC:SSSMGDOOPU:CSANVKARHY:AZLKK:HU:HBCPVMWQ:ABQSNZG:LMUV:SSSMGDOOPU:E.,OPDICNVCP..,LMUV..,MZDG:SSSMGDOOPU:BNANGWI:HU:UQXQQOVQ:PTMDWGSYLX.,LMUV:UQXQQOVQ:MZDG.,ZYVQ..,ABQSNZG:CSANVKARHY.....,HIIXSYOKR..,LDSIMRHOU.,HBCPVMWQ:RY:BNANGWI:HL...,PTMDWGSYLX..,IRAFX:HU:PYDMC:BNANGWI:UQXQQOVQ..,HBCPVMWQ:CSANVKARHY:IRAFX..,AZLKK.,IBGPXNYKSG.,HBCPVMWQ..,HU...,RY.,ZYVQ...........\n"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "XVHMYEWTR:XVHMYEWTR:XVHMYEWTR:XVHMYEWTR....\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "ZLWSYH:WNMTNAI:FTCKPGZBJ.,UZSCFZVXXK.,LNGCU.,TCT.,LNGCU.,U.,NEHYSET..,FBLI:NEHYSET:IFY..,VN.,VN.,IFY.,FBLI.,YH.,FBLI.,DTXG.,NEHYSET.,WNMTNAI.,VN.,SVXN.,NEHYSET.,TCT.,DTXG..,UZSCFZVXXK:KZQRJFST.,FTCKPGZBJ.,WNMTNAI.,SVXN:DHONBXRZAL..,NEHYSET.,IFY..,MPOEEMVOP:DHONBXRZAL.,DTXG.,FTCKPGZBJ..,KZQRJFST:SVXN.,SVXN..,DTXG:IFY..,ZLWSYH:UZSCFZVXXK.,ZLWSYH..,KZQRJFST:IFY..,IFY.,TCT:FTCKPGZBJ..,LNGCU.,DTXG.,VN.,FBLI.,NSFLRQN.,FTCKPGZBJ.,KZQRJFST.,QLA.,LNGCU.,JKVOAW.,YH.,SVXN.,QLA..\n"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "AELJZZL:AELJZZL:FARF.,FARF:FARF.,TVDWKGTR.,AELJZZL....\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "XGB:QJNGARRAZV:DWGDCCU:ARDKJV:P:MXBLZKKPYI:FKSBDQVXH:FKSBDQVMH:XXBLZKCPYI..,DWGDLCU..,P...,FKSBDQVXH....,ARDKJV..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "XGB:QJNGARRAZV:DWGDCCU:ARDKJV:P:MXBLZKLPYI:FKSBDQVXH:FKSBDQVMH:XXBLZKCPYI..,DWGDLCU..,P...,FKSBDQVXH....,ARDKJV..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "UTQJYDWLRU:AAQESABBIV:ES:S:AAQESABBIV.,ZAJSINN..,MOLZWDPVYT.,MOLZWDPVYT..,KHYPOOUNR:KHYPOOUNR...,ZJXBUI:INOMNMT.,NEQK:USRBDKJXHI.,AWJAV:S:OUHETS...,BRXKYBJD.,S..,NEQK:ES.,ZJXBUI:YNJA...,AWJAV.,OCC:INOMNMT..,OCC.,UTQJYDWLRU..,MOLZWDPVYT:ES:YNJA.,YIWBP.,NAYUL.,USRBDKJXHI..,YNJA.,MOLZWDPVYT.,UTQJYDWLRU..,S:UTQJYDWMRU:NAYUL:USRBDKJXHI...,MOLZWDPVYT:BRXKYBJD..,YIWBP.,ES.,NAYUL:OCC...,OUHETS.,UTQJYDWLRU..\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "UTQJYDWLNU:AAQESABBIV:ES:S:AAQESABBIV.,ZAJSINN..,MOLZWDPVYT.,MOLZWDPVYT..,KHYPOOUNR:KHYPOOUNR...,ZJXBUI:INOMNMT.,REQK:USRBDKJXHI.,AWJAV:S:OUHETS...,BRXKYBJD.,S..,YEQK:ES.,ZJXBUI:YNJA...,AWJAV.,OCC:INOMNMT..,OCC.,UTQJYDWLRU..,MOLZWDPVYT:ES:YNJA.,YIWBP.,NAYUL.,USRBDKJXHI..,YNJA.,MOLZWDOVYT.,UTQJYDWLRU..,S:UTQJYDWLRU:NAYUL:USRBDKJXHI...,MOLZWDPVYT:BRXKYBJD..,YIWBP.,ES.,NANUL:OCC...,OUHETS.,UTQJYDWLRU..\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "WCBHC:PDNTT:WCCHB:WCBHC:PDNTT:JOVEH:PDNTT:MPQPQVD:MPQPQVD:MSYRLMSCL:WCBHC:PHRUHCZ:QHQUHCZ:JOVEH:VWCWBJRF:WCBHC:VWCWBJRF:WCBHC:JOVEG:JOVEH....................\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "RHLGWEVBJ:KAWUINWEI:KAWUINWEI..,ZPATNW.,KBWUIOWEI.,RSWN..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "UTQJYDWLRU:AAQESABBIV:ES:S:AAQESABBIV.,ZAJSINN..,MOLZWDPVYT.,MOLZWDPVYT..,KHYPOOUNR:KHYPOOUNR...,ZJXBUI:INOMNMT.,NEQK:USRBDKJXHI.,AWJAV:S:OUHETS...,BRXKYBJD.,S..,YEQK:ES.,ZJXBUI:YNJA...,AWJAV.,OCC:INOMNMT..,OCC.,UTQJYDWLRU..,MOLZWDPVYT:ES:YNJA.,YIWBP.,NAYUL.,USRBDKJXHI..,YNJA.,MOLZWDOVYT.,UTQJYDWLRU..,S:UTQJYDWLRU:NAYUL:USRBDKJXHI...,MOLZWDPVYT:BRXKYBJD..,YIWBP.,ES.,NANUL:OCC...,OUHETS.,UTQJYDWLRU..\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "UWEJCOA:PPFWB:GKWVCKH:UWEJCOA..,QINJL.,ZVLULGYCBJ..,D:D..,EFEHJKNH:QINJL.,GKWVDKH..,NLBPAHEH.,PPFWB.,MWRLW.,UWEKCOA.,QINJL..\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "XVHMREWTR:WV:MYEXTYHXVHMYEWTR:XVHMYEWTR....\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "UWEJCOA:PPFWB:GKWVCKH:UWEJCOA..,QINJL.,ZVLULGYCBJ..,D:D..,EFEHJKNH:QINJL.,GKWVDKH..,NLBPAHEH.,PPFWB.,MWRKW.,UWEKCOA.,QINJL..\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "GIRSY.\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "FWYOOG:NJBFIOD:FWYOOG..,DH.,TSPKXXXE.,YMMMGNYBDC.,YMMMGNYBDC.,YMMMGNYBDC.,YMMMGNYBDC.,NJBEIOD..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "UWEJCOA:PPFWB:GKWVCKH:UWEJCOA..,QINJL.,ZVLULGYCBJ..,D:D..,EFEHJKNH:QINJL.,GKWVDKH..,NLBPAHEH.,PPFWB.,MWRLW.,UWEKCPA.,QINJL..\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "WCBHC:PDNTT:WCCHB:WCBHC:PDNTT:JOVEH:PDNTT:MPQPQVD:MPQPQVD:MSYRLMSCL:WCBHC:PHRUHCZ:PHQUHCZ:JOVEH:VWCWBJRF:WCBHC:VWCWBJRF:WCBHC:JOVEH:JOVEH....................\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "FISSY.\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "XVHMREWTR:WVHMYEXTY:XVHMYEWTR:XVHMYEWTR....\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "RHLGWEVBJ:KAWUINWEI:KAWUINWEI..,ZPATNW.,KBWUINWEI.,RSWN..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "FHSSY.\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "A:B..\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "XGB:QJNGARRAZV:DWGDCCU:ARDKJV:P:MXBLZKLPYI:FKSBDQVXH:FKSBDQVMH:XXBLZKLPYI..,DWGDCCU..,P...,FKSBDQVXH....,ARDKJV..\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "WCBHC:PDNTT:WCCHB:WCBHC:PDNTT:JOVEH:PDNTT:MPQPQVD:MPQPQVD:MSYRLMSCL:WCBHC:PHQUHCZ:PHQUHCZ:JOVEH:VWCWBJRF:WCBHC:VWCWBJRF:WCBHC:JOVEH:JOVEH....................\n"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "RHLGWEVBJ:KAWUINWEI:KAWUINWEI..,ZQATNW.,KAWUINWEI.,RSWN..\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "WCBHC:PDNTT:WCCHB:WCBHC:PDNTT:JOVEH:PDNTT:MPQPQVD:MPQPQVD:MSYRLMSCL:WCBHC:PHRUHCZ:QHQUHCZ:JOVEH:VWCWCJRF:WCBHC:VWCWBJRF:WCBHC:JOVEG:JOVEH....................\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "BZSBQVEUZK:GW:IJXBZZR:Q:TTTUZKB:IJXBZZR..,KPMRUKBRJ.,DJJTU..,DJJTU..,SFMVKQPXS.,TTTUZKB:AE..,Q..,VHOCZVQZF:VHOCZVQZF:DJJTU:AE:XVG:GW.,BZSBQVEUZK..,DJJTU..,SFMVKQPXS.,CUUSFRK..,DJJTU..,VHOCZVQZF:AE:TTTUZKB...,TTTUZKB.,PNETLABTTQ.,VHOCZVQZF..,Q:QLQL:IJXBZZR.,Q:KPMRUKBRJ:GW..,Q:BZSBQVEUZK..,Q...,BZSBQVEUZK:DJJTU..,DJJTU:Q:KPMRUKBRJ.,AE..,QLQL:U..,XVG..,XUG:GW:KPMRUKBRJ.,Q:AE...,IJXBZZR.,VHOCZVQZF..,XVG:XVG:SFMVKQPXS:SFMVKQPXS:PNETLABTTQ..,IJXBZZR.....,AE..\n"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "DCMEHQUK:PRTMRD:INZPGQ:ETO:QRTMRD:IK:CLADXUDO:RBXLIZ.,HXZEVZAVQ:HXZEVZAVQ:VLLQPTOJ:QRTMRD:IK:RBXLIZ:CLADXUDO.,DCMEHQUK....,INZPGQ:CLADXUDO:HXZEVZAVQ..,UQZACQ....,INZPGQ:VLLQPTOJ:DCMEHQUK....,XTWJ........\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "XVHMYEWER:XVHMYEWTR:XVHMYEWTR:XVHMYTWTR....\n"
},
"output": {
"stdout": "1\n"
}
}
] |
{
"tags": [
"data structures",
"expression parsing",
"implementation"
],
"title": "Corporation Mail"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nusing ll = long long;\nusing ii = pair<int, int>;\nusing pll = pair<ll, ll>;\nstring to_string(char s) { return \"\\'\" + string(1, s) + \"\\'\"; }\nstring to_string(string s) { return \"\\\"\" + s + \"\\\"\"; }\ntemplate <typename T>\nstring to_string(vector<T>);\ntemplate <typename T>\nstring to_string(set<T>);\ntemplate <typename U, typename V>\nstring to_string(map<U, V>);\ntemplate <typename U, typename V>\nstring to_string(pair<U, V> p) {\n return \"(\" + to_string(p.first) + \", \" + to_string(p.second) + \")\";\n}\ntemplate <typename T>\nstring to_string(vector<T> v) {\n string s = \"[ \";\n for (auto e : v) s += to_string(e) + \" \";\n s += \"]\";\n return s;\n ;\n}\ntemplate <typename T>\nstring to_string(set<T> v) {\n string s = \"[ \";\n for (auto e : v) s += to_string(e) + \" \";\n s += \"]\";\n return s;\n ;\n}\ntemplate <typename U, typename V>\nstring to_string(map<U, V> v) {\n string s = \"[ \";\n for (auto e : v) s += to_string(e) + \" \";\n s += \"]\";\n return s;\n ;\n}\nconst int N = 1010;\nchar buf[N];\nvector<int> adj[N];\nvector<string> data;\nstring desc;\nint n, itr;\nint parseNode() {\n string root = \"\";\n while (desc[itr] != ':' && desc[itr] != '.') root += desc[itr++];\n int nodeID = n++;\n data.push_back(root);\n while (desc[itr] != '.') {\n itr++;\n adj[nodeID].push_back(parseNode());\n }\n itr++;\n return nodeID;\n}\nint freq(int u, string s) {\n int res = (data[u] == s);\n for (int v : adj[u]) res += freq(v, s);\n return res;\n}\nint solve(int u) {\n int res = 0;\n for (int v : adj[u]) res += freq(v, data[u]);\n for (int v : adj[u]) res += solve(v);\n return res;\n}\nint main() {\n scanf(\"%s\", buf);\n desc = string(buf);\n n = itr = 0;\n int root = parseNode();\n ;\n ;\n for (int i = 0; i < n; i++)\n ;\n for (int i = 0; i < n; i++)\n ;\n printf(\"%d\\n\", solve(root));\n}\n",
"java": "import java.util.Map;\nimport java.io.IOException;\nimport java.io.OutputStreamWriter;\nimport java.math.BigDecimal;\nimport java.io.BufferedWriter;\nimport java.util.Locale;\nimport java.util.InputMismatchException;\nimport java.util.HashMap;\nimport java.util.Set;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.io.Writer;\nimport java.math.BigInteger;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n * @author Jacob Jiang\n */\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tInputStream inputStream = System.in;\n\t\tOutputStream outputStream = System.out;\n\t\tInputReader in = new InputReader(inputStream);\n\t\tOutputWriter out = new OutputWriter(outputStream);\n\t\tTaskC solver = new TaskC();\n\t\tsolver.solve(1, in, out);\n\t\tout.close();\n\t}\n}\n\nclass TaskC {\n private long answer = 0;\n\n public void solve(int testNumber, InputReader in, OutputWriter out) {\n solve(in.next());\n out.println(answer);\n }\n\n private Counter<String> solve(String str) {\n int colonIndex = str.indexOf(':');\n int dotIndex = str.indexOf('.');\n Counter<String> result = new Counter<String>();\n if (colonIndex == -1 || colonIndex > dotIndex) {\n if (dotIndex != str.length() - 1) throw new RuntimeException();\n result.add(str.substring(0, str.length() - 1));\n } else {\n int prev = colonIndex + 1;\n int level = 0;\n for (int i = 0; i < str.length(); i++) {\n if (str.charAt(i) == ':' || str.charAt(i) == ',') {\n level++;\n }\n else if (str.charAt(i) == '.') {\n level--;\n }\n if ((str.charAt(i) == ',' && level == 1) || (str.charAt(i) == '.' && level == -1)) {\n Counter<String> current = solve(str.substring(prev, i));\n prev = i + 1;\n result.add(current);\n }\n }\n String self = str.substring(0, colonIndex);\n answer += result.get(self);\n result.add(self);\n }\n return result;\n }\n}\n\nclass InputReader {\n\n private InputStream stream;\n private byte[] buf = new byte[1 << 20];\n private int curChar;\n private int numChars;\n\n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n\n public int read() {\n if (numChars == -1)\n throw new InputMismatchException();\n if (curChar >= numChars) {\n curChar = 0;\n try {\n numChars = stream.read(buf);\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n if (numChars <= 0)\n return -1;\n }\n return buf[curChar++];\n }\n\n public String next() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n StringBuilder res = new StringBuilder();\n do {\n res.appendCodePoint(c);\n c = read();\n } while (!isSpaceChar(c));\n return res.toString();\n }\n\n public static boolean isSpaceChar(int c) {\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n\n }\n\nclass OutputWriter {\n private PrintWriter writer;\n\n public OutputWriter(OutputStream stream) {\n writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(stream)));\n }\n\n public OutputWriter(Writer writer) {\n this.writer = new PrintWriter(writer);\n }\n\n public void println(long x) {\n writer.println(x);\n }\n\n public void close() {\n writer.close();\n }\n\n }\n\nclass Counter<T> extends HashMap<T, Long> {\n public void add(T obj, long count) {\n put(obj, get(obj) + count);\n }\n\n public void add(T obj) {\n put(obj, get(obj) + 1L);\n }\n\n public void add(Map<T, Long> another) {\n for (Map.Entry<T, Long> entry : another.entrySet()) {\n add(entry.getKey(), entry.getValue());\n }\n }\n\n public Long get(Object key) {\n return containsKey(key) ? super.get(key) : 0L;\n }\n}\n\n",
"python": "print reduce(lambda p,b:[(p[0]+l.count(l[-1])-1,l[:-1]) for l in [p[1]+b.split(':') if b else p[1]]][0],filter(lambda x: x!=',',raw_input())[:-1].split('.'),(0,[]))[0]"
}
|
|
|
# Wizards' Duel
Harry Potter and He-Who-Must-Not-Be-Named engaged in a fight to the death once again. This time they are located at opposite ends of the corridor of length l. Two opponents simultaneously charge a deadly spell in the enemy. We know that the impulse of Harry's magic spell flies at a speed of p meters per second, and the impulse of You-Know-Who's magic spell flies at a speed of q meters per second.
The impulses are moving through the corridor toward each other, and at the time of the collision they turn round and fly back to those who cast them without changing their original speeds. Then, as soon as the impulse gets back to it's caster, the wizard reflects it and sends again towards the enemy, without changing the original speed of the impulse.
Since Harry has perfectly mastered the basics of magic, he knows that after the second collision both impulses will disappear, and a powerful explosion will occur exactly in the place of their collision. However, the young wizard isn't good at math, so he asks you to calculate the distance from his position to the place of the second meeting of the spell impulses, provided that the opponents do not change positions during the whole fight.
Input
The first line of the input contains a single integer l (1 ≤ l ≤ 1 000) — the length of the corridor where the fight takes place.
The second line contains integer p, the third line contains integer q (1 ≤ p, q ≤ 500) — the speeds of magical impulses for Harry Potter and He-Who-Must-Not-Be-Named, respectively.
Output
Print a single real number — the distance from the end of the corridor, where Harry is located, to the place of the second meeting of the spell impulses. Your answer will be considered correct if its absolute or relative error will not exceed 10 - 4.
Namely: let's assume that your answer equals a, and the answer of the jury is b. The checker program will consider your answer correct if <image>.
Examples
Input
100
50
50
Output
50
Input
199
60
40
Output
119.4
Note
In the first sample the speeds of the impulses are equal, so both of their meetings occur exactly in the middle of the corridor.
|
[
{
"input": {
"stdin": "199\n60\n40\n"
},
"output": {
"stdout": "119.4"
}
},
{
"input": {
"stdin": "100\n50\n50\n"
},
"output": {
"stdout": "50"
}
},
{
"input": {
"stdin": "978\n467\n371\n"
},
"output": {
"stdout": "545.0190930787589\n"
}
},
{
"input": {
"stdin": "101\n11\n22\n"
},
"output": {
"stdout": "33.666666666666664\n"
}
},
{
"input": {
"stdin": "349\n478\n378\n"
},
"output": {
"stdout": "194.8855140186916\n"
}
},
{
"input": {
"stdin": "600\n221\n279\n"
},
"output": {
"stdout": "265.2"
}
},
{
"input": {
"stdin": "425\n458\n118\n"
},
"output": {
"stdout": "337.93402777777777\n"
}
},
{
"input": {
"stdin": "961\n173\n47\n"
},
"output": {
"stdout": "755.6954545454546\n"
}
},
{
"input": {
"stdin": "961\n443\n50\n"
},
"output": {
"stdout": "863.5354969574037\n"
}
},
{
"input": {
"stdin": "133\n53\n124\n"
},
"output": {
"stdout": "39.824858757062145\n"
}
},
{
"input": {
"stdin": "1000\n500\n1\n"
},
"output": {
"stdout": "998.004"
}
},
{
"input": {
"stdin": "690\n499\n430\n"
},
"output": {
"stdout": "370.6243272335845\n"
}
},
{
"input": {
"stdin": "539\n61\n56\n"
},
"output": {
"stdout": "281.017094017094\n"
}
},
{
"input": {
"stdin": "496\n326\n429\n"
},
"output": {
"stdout": "214.16688741721853\n"
}
},
{
"input": {
"stdin": "1\n500\n500\n"
},
"output": {
"stdout": "0.5"
}
},
{
"input": {
"stdin": "1\n500\n1\n"
},
"output": {
"stdout": "0.998004"
}
},
{
"input": {
"stdin": "678\n295\n29\n"
},
"output": {
"stdout": "617.3148148148148\n"
}
},
{
"input": {
"stdin": "296\n467\n377\n"
},
"output": {
"stdout": "163.782"
}
},
{
"input": {
"stdin": "1000\n500\n500\n"
},
"output": {
"stdout": "500"
}
},
{
"input": {
"stdin": "285\n468\n62\n"
},
"output": {
"stdout": "251.66037735849056\n"
}
},
{
"input": {
"stdin": "655\n203\n18\n"
},
"output": {
"stdout": "601.6515837104073\n"
}
},
{
"input": {
"stdin": "745\n152\n417\n"
},
"output": {
"stdout": "199.01581722319858\n"
}
},
{
"input": {
"stdin": "919\n323\n458\n"
},
"output": {
"stdout": "380.0729833546735\n"
}
},
{
"input": {
"stdin": "762\n462\n371\n"
},
"output": {
"stdout": "422.6218487394958\n"
}
},
{
"input": {
"stdin": "253\n80\n276\n"
},
"output": {
"stdout": "56.853932584269664\n"
}
},
{
"input": {
"stdin": "188\n59\n126\n"
},
"output": {
"stdout": "59.956756756756754\n"
}
},
{
"input": {
"stdin": "886\n235\n95\n"
},
"output": {
"stdout": "630.939393939394\n"
}
},
{
"input": {
"stdin": "1000\n1\n500\n"
},
"output": {
"stdout": "1.99601"
}
},
{
"input": {
"stdin": "258\n25\n431\n"
},
"output": {
"stdout": "14.144736842105264\n"
}
},
{
"input": {
"stdin": "623\n422\n217\n"
},
"output": {
"stdout": "411.433489827856\n"
}
},
{
"input": {
"stdin": "627\n150\n285\n"
},
"output": {
"stdout": "216.20689655172413\n"
}
},
{
"input": {
"stdin": "105\n68\n403\n"
},
"output": {
"stdout": "15.159235668789808\n"
}
},
{
"input": {
"stdin": "987\n1\n3\n"
},
"output": {
"stdout": "246.75"
}
},
{
"input": {
"stdin": "583\n112\n248\n"
},
"output": {
"stdout": "181.37777777777777\n"
}
},
{
"input": {
"stdin": "644\n428\n484\n"
},
"output": {
"stdout": "302.2280701754386\n"
}
},
{
"input": {
"stdin": "1\n1\n1\n"
},
"output": {
"stdout": "0.5"
}
},
{
"input": {
"stdin": "1\n1\n500\n"
},
"output": {
"stdout": "0.00199601"
}
},
{
"input": {
"stdin": "1000\n1\n1\n"
},
"output": {
"stdout": "500"
}
},
{
"input": {
"stdin": "979\n39\n60\n"
},
"output": {
"stdout": "385.6666666666667\n"
}
},
{
"input": {
"stdin": "718\n29\n375\n"
},
"output": {
"stdout": "51.5396"
}
},
{
"input": {
"stdin": "903\n460\n362\n"
},
"output": {
"stdout": "505.3284671532847\n"
}
},
{
"input": {
"stdin": "998\n224\n65\n"
},
"output": {
"stdout": "773.5363321799308\n"
}
},
{
"input": {
"stdin": "980\n322\n193\n"
},
"output": {
"stdout": "612.7378640776699\n"
}
},
{
"input": {
"stdin": "871\n401\n17\n"
},
"output": {
"stdout": "835.5765550239234\n"
}
},
{
"input": {
"stdin": "538\n479\n416\n"
},
"output": {
"stdout": "287.9351955307263\n"
}
},
{
"input": {
"stdin": "258\n25\n358\n"
},
"output": {
"stdout": "16.840731070496084\n"
}
},
{
"input": {
"stdin": "133\n15\n82\n"
},
"output": {
"stdout": "20.567010309278352\n"
}
},
{
"input": {
"stdin": "349\n478\n221\n"
},
"output": {
"stdout": "238.65808297567955\n"
}
},
{
"input": {
"stdin": "1\n104\n205\n"
},
"output": {
"stdout": "0.3365695792880259\n"
}
},
{
"input": {
"stdin": "623\n211\n217\n"
},
"output": {
"stdout": "307.13317757009344\n"
}
}
] |
{
"tags": [
"implementation",
"math"
],
"title": "Wizards' Duel"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int l, p, q;\n scanf(\"%d%d%d\", &l, &p, &q);\n double time = (double)l / (p + q);\n printf(\"%lf\", (double)time * p);\n}\n",
"java": "import java.util.Scanner;\n\npublic class acm {\n\tpublic static void main(String[]args)\n\t{\n\t\tScanner sc = new Scanner(System.in);\n\t\tint r = 0;\n\t\tint l = sc.nextInt();\n\t\tdouble p = sc.nextInt();\n\t\tdouble q = sc.nextInt();\n\t\tdouble h = (double)(l/(p+q));\n\t\tSystem.out.println((double)(p*h));\n\t}\n}\n",
"python": "l = int(input())\np = int(input())\nq = int(input())\n\n\n# l = (p + q) * t\nt = l / (p + q)\n\npos_p = l - p * t\n\nprint(l - pos_p)\n"
}
|
|
|
# Square Root of Permutation
A permutation of length n is an array containing each integer from 1 to n exactly once. For example, q = [4, 5, 1, 2, 3] is a permutation. For the permutation q the square of permutation is the permutation p that p[i] = q[q[i]] for each i = 1... n. For example, the square of q = [4, 5, 1, 2, 3] is p = q2 = [2, 3, 4, 5, 1].
This problem is about the inverse operation: given the permutation p you task is to find such permutation q that q2 = p. If there are several such q find any of them.
Input
The first line contains integer n (1 ≤ n ≤ 106) — the number of elements in permutation p.
The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n) — the elements of permutation p.
Output
If there is no permutation q such that q2 = p print the number "-1".
If the answer exists print it. The only line should contain n different integers qi (1 ≤ qi ≤ n) — the elements of the permutation q. If there are several solutions print any of them.
Examples
Input
4
2 1 4 3
Output
3 4 2 1
Input
4
2 1 3 4
Output
-1
Input
5
2 3 4 5 1
Output
4 5 1 2 3
|
[
{
"input": {
"stdin": "4\n2 1 3 4\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "4\n2 1 4 3\n"
},
"output": {
"stdout": "3 4 2 1 "
}
},
{
"input": {
"stdin": "5\n2 3 4 5 1\n"
},
"output": {
"stdout": "4 5 1 2 3\n"
}
},
{
"input": {
"stdin": "10\n3 5 1 2 10 8 7 6 4 9\n"
},
"output": {
"stdout": "6 9 8 10 4 3 7 1 5 2 "
}
},
{
"input": {
"stdin": "100\n11 9 35 34 51 74 16 67 26 21 14 80 84 79 7 61 28 3 53 43 42 5 56 36 69 30 22 88 1 27 65 91 46 31 59 50 17 96 25 18 64 55 78 2 63 24 95 48 93 13 38 76 89 94 15 90 45 81 52 87 83 73 44 49 23 82 85 75 86 33 47 19 58 97 37 20 40 10 92 4 6 68 77 54 71 12 62 60 100 39 41 99 72 29 57 8 70 32 66 98\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "1\n1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "100\n94 22 24 99 58 97 20 29 67 30 38 64 77 50 15 44 92 88 39 42 25 70 2 76 84 6 37 49 17 71 31 19 26 79 10 35 65 63 32 95 5 8 52 27 83 18 53 93 13 81 48 68 54 82 34 60 87 23 16 86 55 40 61 45 28 7 74 41 14 91 3 72 33 11 98 89 90 69 78 36 80 59 56 21 43 1 75 46 47 12 96 73 57 51 4 85 9 100 66 62\n"
},
"output": {
"stdout": "78 52 95 76 96 49 53 59 77 100 64 11 9 48 15 17 44 46 32 54 84 68 43 4 21 28 73 6 16 62 31 39 65 86 98 75 33 45 19 3 91 82 2 92 63 88 7 50 97 93 14 22 20 42 60 55 80 85 29 34 56 71 83 38 26 47 90 70 51 41 40 72 37 12 35 99 67 94 1 87 57 8 61 25 23 79 36 18 66 74 5 27 81 69 24 58 13 10 89 30\n"
}
},
{
"input": {
"stdin": "10\n8 2 10 3 4 6 1 7 9 5\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "10\n3 5 2 1 10 8 7 6 4 9\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "5\n1 3 4 5 2\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "4\n1 2 4 3\n"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "10\n8 3 10 2 4 6 1 7 9 5\n"
},
"output": {
"stdout": "7 5 4 10 3 6 8 1 9 2\n"
}
},
{
"input": {
"stdin": "4\n3 1 2 4\n"
},
"output": {
"stdout": "2 3 1 4\n"
}
},
{
"input": {
"stdin": "4\n1 4 2 3\n"
},
"output": {
"stdout": "1 3 4 2\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 5 1\n"
},
"output": {
"stdout": "-1\n"
}
}
] |
{
"tags": [
"combinatorics",
"constructive algorithms",
"dfs and similar",
"graphs",
"math"
],
"title": "Square Root of Permutation"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\ntemplate <typename T>\nusing V = vector<T>;\nint gcdex(int a, int b, int &x, int &y) {\n if (a == 0) {\n x = 0;\n y = 1;\n return b;\n }\n int x1, y1;\n int g = gcdex(b % a, a, x1, y1);\n x = y1 - (b / a) * x1;\n y = x1;\n return g;\n}\ninline int ADD_MOD(int a, int b) { return (a + b) % 1000000007; }\ninline int MUL_MOD(int a, int b) { return (int64_t(a) * b) % 1000000007; }\ninline int SUB_MOD(int a, int b) { return a >= b ? a - b : a + 1000000007 - b; }\nint DIV_MOD(int a, int b) {\n int x, y;\n gcdex(b, 1000000007, x, y);\n int b1 = (x % 1000000007 + 1000000007) % 1000000007;\n return MUL_MOD(a, b1);\n}\nconst long double EPS = 1. / 1e9;\ninline bool EPS_EQUAL(long double a, long double b) {\n return abs(a - b) <= EPS;\n}\ninline bool EPS_LESS(long double a, long double b) { return b - a > EPS; }\ninline bool EPS_GREATER(long double a, long double b) { return a - b > EPS; }\nconst int INF = 1e9;\nconst int64_t INF64 = 2e18;\nvoid get_cycle(V<int> &a, V<uint8_t> &visited, int start, V<int> &c) {\n int i = start;\n while (a[i] != start) {\n c.push_back(a[i]);\n visited[a[i]] = 1;\n i = a[i];\n }\n c.push_back(start);\n visited[start] = 1;\n}\nvoid add_out_cycle(V<int> &b, V<int> &c) {\n for (int i = 0; i < c.size(); ++i) {\n int prev = i > 0 ? c[i - 1] : c.back();\n b[prev] = c[i];\n }\n}\nvoid add_odd_cycle(V<int> &b, V<int> &c) {\n int len = c.size();\n V<int> outC(len);\n for (int i = 0; i < len; ++i) {\n if (i % 2 == 0) {\n outC[i] = c[(len + i) / 2];\n } else {\n outC[i] = c[i / 2];\n }\n }\n add_out_cycle(b, outC);\n}\nvoid add_even_cycle(V<int> &b, V<int> &c1, V<int> &c2) {\n int len = c1.size();\n V<int> outC(len * 2);\n for (int i = 0; i < len; ++i) {\n outC[i * 2] = c1[i];\n outC[i * 2 + 1] = c2[i];\n }\n add_out_cycle(b, outC);\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n cout.precision(15);\n int n;\n cin >> n;\n V<int> a(n);\n for (auto &i : a) {\n cin >> i;\n --i;\n }\n V<int> b(n);\n V<uint8_t> visited(n);\n V<V<int> > evenCycles(n + 1);\n int evenCyclesCount = 0;\n for (int i = 0; i < n; ++i) {\n if (!visited[i]) {\n V<int> c;\n get_cycle(a, visited, i, c);\n int len = c.size();\n if (len % 2 == 1) {\n add_odd_cycle(b, c);\n } else {\n if (!evenCycles[len].empty()) {\n add_even_cycle(b, evenCycles[len], c);\n evenCycles[len].clear();\n evenCyclesCount--;\n } else {\n swap(evenCycles[len], c);\n evenCyclesCount++;\n }\n }\n }\n }\n if (evenCyclesCount > 0) {\n cout << -1 << endl;\n return 0;\n }\n for (auto &i : b) {\n cout << i + 1 << \" \";\n }\n cout << endl;\n return 0;\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\nimport java.io.IOException;\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.util.ArrayList;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author Artem Gilmudinov\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n Reader in = new Reader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n TaskE solver = new TaskE();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskE {\n public void solve(int testNumber, Reader in, PrintWriter out) {\n int n = in.ni();\n int[] p = new int[n];\n for (int i = 0; i < n; i++) {\n p[i] = in.ni() - 1;\n }\n ArrayList<ArrayList<Cycle>> cycles = new ArrayList<>();\n for (int i = 0; i <= n; i++) {\n cycles.add(new ArrayList<>());\n }\n boolean[] used = new boolean[n];\n for (int i = 0; i < n; i++) {\n if (!used[i]) {\n int cur = i;\n ArrayList<Integer> cycle = new ArrayList<>();\n while (!used[cur]) {\n used[cur] = true;\n cycle.add(cur);\n cur = p[cur];\n }\n cycles.get(cycle.size()).add(new Cycle(cycle));\n }\n }\n int[] q = new int[n];\n Arrays.fill(used, false);\n for (int i = 1; i <= n; i++) {\n ArrayList<Cycle> list = cycles.get(i);\n if (i % 2 == 0) {\n if (list.size() % 2 != 0) {\n out.println(-1);\n return;\n }\n for (int j = 0; j < list.size(); j += 2) {\n Cycle cycle1 = list.get(j);\n Cycle cycle2 = list.get(j + 1);\n int prev, next, size;\n size = cycle1.vertexes.size();\n prev = 0;\n next = 0;\n while (!used[cycle1.vertexes.get(prev)]) {\n used[cycle1.vertexes.get(prev)] = true;\n q[cycle1.vertexes.get(prev)] = cycle2.vertexes.get(next);\n q[cycle2.vertexes.get(next)] = cycle1.vertexes.get((prev + 1) % size);\n prev = (prev + 1) % size;\n next = (next + 1) % size;\n }\n }\n } else {\n for (Cycle cycle : list) {\n if (cycle.vertexes.size() == 1) {\n q[cycle.vertexes.get(0)] = cycle.vertexes.get(0);\n continue;\n }\n int size = cycle.vertexes.size();\n int prev = 0;\n int next = size / 2 + 1;\n int temp;\n while (!used[cycle.vertexes.get(prev)]) {\n used[cycle.vertexes.get(prev)] = true;\n q[cycle.vertexes.get(prev)] = cycle.vertexes.get(next);\n temp = next;\n next = (prev + 1) % size;\n prev = temp;\n }\n }\n }\n }\n for (int i = 0; i < n; i++) {\n out.print(q[i] + 1 + \" \");\n }\n }\n\n class Cycle {\n public ArrayList<Integer> vertexes;\n\n public Cycle(ArrayList<Integer> cycle) {\n this.vertexes = cycle;\n }\n\n\n public String toString() {\n return this.vertexes.toString();\n }\n\n }\n\n }\n\n static class Reader {\n private BufferedReader in;\n private StringTokenizer st = new StringTokenizer(\"\");\n private String delim = \" \";\n\n public Reader(InputStream in) {\n this.in = new BufferedReader(new InputStreamReader(in));\n }\n\n public String next() {\n if (!st.hasMoreTokens()) {\n st = new StringTokenizer(rl());\n }\n return st.nextToken(delim);\n }\n\n public String rl() {\n try {\n return in.readLine();\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n\n public int ni() {\n return Integer.parseInt(next());\n }\n\n }\n}\n\n",
"python": "import sys\n#import random\nfrom bisect import bisect_right as rb\nfrom collections import deque\n#sys.setrecursionlimit(10**8)\nfrom queue import PriorityQueue\nfrom math import *\ninput_ = lambda: sys.stdin.readline().strip(\"\\r\\n\")\nii = lambda : int(input_())\nil = lambda : list(map(int, input_().split()))\nilf = lambda : list(map(float, input_().split()))\nip = lambda : input_()\nfi = lambda : float(input_())\nap = lambda ab,bc,cd : ab[bc].append(cd)\nli = lambda : list(input_())\npr = lambda x : print(x)\nprinT = lambda x : print(x)\nf = lambda : sys.stdout.flush()\nmod = 10**9 + 7\n\nn = ii()\na = [0] + il()\n\ndef dfs (i) :\n vis[i] = 1\n g.append(i)\n if (vis[a[i]] == 0) :\n dfs(a[i])\n\ng = []\nd = {}\nvis = [0 for i in range (n+2)]\n\nans = [0 for i in range (n+1)]\n\nfor i in range (1,n+1) :\n if (vis[i] == 0) :\n i1 = i\n while True :\n vis[i1] = 1\n g.append(i1)\n\n if (vis[a[i1]] == 0) :\n i1 = a[i1]\n else :\n break\n\n l = len(g)\n\n if (l%2) :\n x = (l+1)//2\n\n for j in range (l) :\n ans[g[j]] = g[(x+j)%l]\n\n elif (d.get(l)) :\n v = d[l]\n\n for j in range (l) :\n ans[g[j]] = v[(j+1)%l]\n ans[v[j]] = g[j]\n\n del d[l]\n\n else :\n d[l] = g\n\n g = []\n\nfor i in d :\n print(-1)\n exit(0)\n\nprint(*ans[1:])\n\n\n"
}
|
|
|
# Thief in a Shop
A thief made his way to a shop.
As usual he has his lucky knapsack with him. The knapsack can contain k objects. There are n kinds of products in the shop and an infinite number of products of each kind. The cost of one product of kind i is ai.
The thief is greedy, so he will take exactly k products (it's possible for some kinds to take several products of that kind).
Find all the possible total costs of products the thief can nick into his knapsack.
Input
The first line contains two integers n and k (1 ≤ n, k ≤ 1000) — the number of kinds of products and the number of products the thief will take.
The second line contains n integers ai (1 ≤ ai ≤ 1000) — the costs of products for kinds from 1 to n.
Output
Print the only line with all the possible total costs of stolen products, separated by a space. The numbers should be printed in the ascending order.
Examples
Input
3 2
1 2 3
Output
2 3 4 5 6
Input
5 5
1 1 1 1 1
Output
5
Input
3 3
3 5 11
Output
9 11 13 15 17 19 21 25 27 33
|
[
{
"input": {
"stdin": "3 3\n3 5 11\n"
},
"output": {
"stdout": "9 11 13 15 17 19 21 25 27 33 "
}
},
{
"input": {
"stdin": "3 2\n1 2 3\n"
},
"output": {
"stdout": "2 3 4 5 6 "
}
},
{
"input": {
"stdin": "5 5\n1 1 1 1 1\n"
},
"output": {
"stdout": "5 "
}
},
{
"input": {
"stdin": "10 3\n1 2 3 4 5 6 7 8 9 10\n"
},
"output": {
"stdout": "3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 "
}
},
{
"input": {
"stdin": "25 25\n6 3 16 25 2 25 17 11 24 1 1 13 9 16 6 20 21 9 17 16 23 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 "
}
},
{
"input": {
"stdin": "100 100\n6 7 100 8 5 61 5 75 59 65 51 47 83 37 34 54 87 46 4 26 21 87 12 97 86 68 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 77 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 16 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 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}
},
{
"input": {
"stdin": "8 61\n1 2 482 475 471 480 460 450\n"
},
"output": {
"stdout": "61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 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28857 28858 28859 28860 28861 28862 28863 28864 28865 28866 28867 28868 28869 28870 28871 28872 28873 28874 28875 28876 28877 28878 28879 28880 28881 28882 28883 28884 28885 28886 28887 28888 28889 28890 28891 28892 28893 28894 28895 28896 28897 28898 28899 28900 28901 28902 28903 28904 28905 28906 28907 28908 28909 28910 28911 28912 28913 28914 28915 28916 28917 28918 28919 28920 28921 28922 28923 28924 28925 28926 28927 28928 28929 28930 28931 28932 28933 28934 28935 28936 28937 28938 28939 28940 28941 28942 28943 28944 28945 28946 28947 28948 28949 28950 28951 28952 28953 28954 28955 28956 28957 28958 28959 28960 28961 28962 28963 28964 28965 28966 28967 28968 28969 28970 28971 28972 28973 28974 28975 28976 28977 28978 28979 28980 28981 28982 28983 28984 28985 28986 28987 28988 28989 28990 28991 28992 28993 28994 28995 28996 28997 28998 28999 29000 29001 29002 29003 29004 29005 29006 29007 29008 29009 29010 29011 29012 29013 29014 29015 29016 29017 29018 29019 29020 29021 29022 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29189 29190 29191 29192 29193 29194 29195 29196 29197 29198 29199 29200 29201 29202 29203 29204 29205 29206 29207 29208 29209 29210 29211 29212 29213 29214 29215 29216 29217 29218 29219 29220 29221 29222 29223 29224 29225 29226 29227 29228 29229 29230 29231 29232 29233 29234 29235 29236 29237 29238 29239 29240 29241 29242 29243 29244 29245 29246 29247 29248 29249 29250 29251 29252 29253 29254 29255 29256 29257 29258 29259 29260 29261 29262 29263 29264 29265 29266 29267 29268 29269 29270 29271 29272 29273 29274 29275 29276 29277 29278 29279 29280 29281 29282 29283 29284 29285 29286 29287 29288 29289 29290 29291 29292 29293 29294 29295 29296 29297 29298 29299 29300 29301 29302 29303 29304 29305 29306 29307 29308 29309 29310 29311 29312 29313 29314 29315 29316 29317 29318 29319 29320 29321 29322 29323 29324 29325 29326 29327 29328 29329 29330 29331 29332 29333 29334 29335 29336 29337 29338 29339 29340 29341 29342 29343 29344 29345 29346 29347 29348 29349 29350 29351 29352 29353 29354 29355 29356 29357 29358 29359 29360 29361 29362 29363 29364 29365 29366 29367 29368 29369 29370 29371 29372 29373 29374 29375 29376 29377 29378 29379 29380 29381 29382 29383 29384 29385 29386 29387 29388 29389 29390 29391 29392 29393 29394 29395 29396 29398 29400 29402 "
}
},
{
"input": {
"stdin": "10 3\n3 4 12 5 7 13 5 6 1 6\n"
},
"output": {
"stdout": "3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 36 37 38 39 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 26 22 18 35 32 9 15 27 33 5 9 29 33 24 49 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 46 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 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}
},
{
"input": {
"stdin": "4 973\n40 32 21 21\n"
},
"output": {
"stdout": "20433 20444 20452 20455 20463 20466 20471 20474 20477 20482 20485 20488 20490 20493 20496 20499 20501 20504 20507 20509 20510 20512 20515 20518 20520 20521 20523 20526 20528 20529 20531 20532 20534 20537 20539 20540 20542 20543 20545 20547 20548 20550 20551 20553 20554 20556 20558 20559 20561 20562 20564 20565 20566 20567 20569 20570 20572 20573 20575 20576 20577 20578 20580 20581 20583 20584 20585 20586 20587 20588 20589 20591 20592 20594 20595 20596 20597 20598 20599 20600 20602 20603 20604 20605 20606 20607 20608 20609 20610 20611 20613 20614 20615 20616 20617 20618 20619 20620 20621 20622 20623 20624 20625 20626 20627 20628 20629 20630 20631 20632 20633 20634 20635 20636 20637 20638 20639 20640 20641 20642 20643 20644 20645 20646 20647 20648 20649 20650 20651 20652 20653 20654 20655 20656 20657 20658 20659 20660 20661 20662 20663 20664 20665 20666 20667 20668 20669 20670 20671 20672 20673 20674 20675 20676 20677 20678 20679 20680 20681 20682 20683 20684 20685 20686 20687 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38284 38285 38286 38287 38288 38289 38290 38291 38292 38293 38294 38295 38296 38297 38298 38299 38300 38301 38302 38303 38304 38305 38306 38307 38308 38309 38310 38311 38312 38313 38314 38315 38316 38317 38318 38319 38320 38321 38322 38323 38324 38325 38326 38327 38328 38329 38330 38331 38332 38333 38334 38335 38336 38337 38338 38339 38340 38341 38342 38343 38344 38345 38346 38347 38348 38349 38350 38351 38352 38353 38354 38355 38356 38357 38358 38359 38360 38361 38362 38363 38364 38365 38366 38367 38368 38369 38370 38371 38372 38373 38374 38375 38376 38377 38378 38379 38380 38381 38382 38383 38384 38385 38386 38387 38388 38389 38390 38391 38392 38393 38394 38395 38396 38397 38398 38399 38400 38401 38402 38403 38404 38405 38406 38407 38408 38409 38410 38411 38412 38413 38414 38415 38416 38417 38418 38419 38420 38421 38422 38423 38424 38425 38426 38427 38428 38429 38430 38431 38432 38433 38434 38435 38436 38437 38438 38439 38440 38441 38442 38443 38444 38445 38446 38447 38448 38449 38450 38451 38452 38453 38454 38455 38456 38457 38458 38459 38460 38461 38462 38463 38464 38465 38466 38467 38468 38469 38470 38471 38472 38473 38474 38475 38476 38477 38478 38479 38480 38481 38482 38483 38484 38485 38486 38487 38488 38489 38490 38491 38492 38493 38494 38495 38496 38497 38498 38499 38500 38501 38502 38503 38504 38505 38506 38507 38508 38509 38510 38511 38512 38513 38514 38515 38516 38517 38518 38519 38520 38521 38522 38523 38524 38525 38526 38527 38528 38529 38530 38531 38532 38533 38534 38535 38536 38537 38538 38539 38540 38541 38542 38543 38544 38545 38546 38547 38548 38549 38550 38551 38552 38553 38554 38555 38556 38557 38558 38559 38560 38561 38562 38563 38564 38565 38566 38567 38568 38569 38570 38571 38572 38573 38574 38575 38576 38577 38578 38579 38580 38581 38582 38583 38584 38585 38586 38587 38588 38589 38590 38591 38592 38593 38594 38595 38596 38597 38598 38599 38600 38601 38602 38603 38604 38605 38606 38607 38608 38609 38610 38611 38612 38613 38614 38615 38616 38617 38618 38619 38620 38621 38622 38623 38624 38625 38626 38627 38628 38629 38630 38631 38632 38633 38634 38635 38636 38637 38638 38639 38640 38641 38642 38643 38644 38645 38646 38647 38648 38649 38650 38651 38652 38653 38654 38655 38656 38657 38658 38659 38660 38661 38662 38663 38664 38665 38666 38667 38668 38669 38670 38671 38672 38673 38674 38675 38676 38677 38678 38679 38680 38681 38682 38683 38684 38685 38686 38687 38688 38689 38690 38691 38692 38693 38694 38695 38696 38697 38698 38699 38700 38701 38702 38703 38704 38705 38706 38707 38708 38709 38710 38711 38712 38713 38714 38715 38716 38717 38718 38719 38720 38721 38722 38723 38724 38725 38726 38727 38728 38729 38730 38731 38732 38733 38734 38735 38736 38737 38738 38739 38740 38741 38742 38743 38744 38745 38746 38747 38748 38749 38750 38751 38752 38753 38754 38755 38756 38757 38758 38759 38760 38761 38762 38763 38764 38765 38766 38767 38768 38769 38770 38771 38772 38773 38774 38775 38776 38777 38778 38779 38780 38781 38782 38783 38784 38785 38786 38787 38788 38789 38790 38791 38792 38793 38794 38796 38797 38798 38799 38800 38801 38802 38804 38805 38806 38807 38808 38809 38810 38812 38813 38815 38816 38817 38818 38820 38821 38823 38824 38825 38826 38828 38829 38831 38832 38834 38836 38837 38839 38840 38842 38844 38845 38847 38848 38850 38853 38855 38856 38858 38861 38863 38864 38866 38869 38872 38874 38877 38880 38882 38885 38888 38893 38896 38901 38904 38912 38920 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 25 2 25 17 11 24 1 1 13 9 16 6 20 21 9 17 16 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 15 27 33 5 9 29 33 24 64 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 46 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3175 3178 3182 3185 3186 3200 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 25 2 25 17 11 35 1 1 13 9 16 6 20 21 9 17 16 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 853 855 856 857 860 861 863 865 875 "
}
},
{
"input": {
"stdin": "3 2\n2 1 3\n"
},
"output": {
"stdout": "2 3 4 5 6 "
}
},
{
"input": {
"stdin": "10 6\n1 4 12 5 7 11 1 20 1 6\n"
},
"output": {
"stdout": "6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 101 102 103 104 105 106 107 111 112 120 "
}
},
{
"input": {
"stdin": "100 100\n6 7 100 8 5 61 5 75 59 65 51 47 83 37 34 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 16 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 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1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 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2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 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2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 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}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 15 27 33 5 9 29 33 24 64 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 37 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 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1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 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2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3175 3178 3182 3185 3186 3200 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 14 2 25 17 11 35 1 1 13 11 16 6 20 21 9 17 16 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 853 854 855 856 857 860 861 863 865 875 "
}
},
{
"input": {
"stdin": "100 100\n3 7 100 8 5 61 5 75 59 65 51 47 65 37 34 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 16 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 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9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "100 100\n6 7 100 8 5 61 5 75 59 65 51 47 65 37 34 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 16 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 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9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 14 2 25 17 11 35 1 1 13 11 16 6 16 21 9 17 1 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 849 851 853 854 855 856 857 861 863 865 875 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 3 27 33 5 9 29 33 24 64 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 37 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3175 3178 3182 3185 3186 3200 "
}
},
{
"input": {
"stdin": "10 3\n3 4 12 5 7 11 5 10 1 6\n"
},
"output": {
"stdout": "3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 14 2 25 17 11 35 1 1 13 11 16 6 16 21 9 17 1 6 4 9 23 3\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 849 851 853 854 855 856 857 861 863 865 875 "
}
},
{
"input": {
"stdin": "100 100\n1 7 100 8 5 61 5 75 59 65 51 47 65 37 67 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 14 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 22 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 103 104 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 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1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 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9680 9681 9682 9683 9684 9685 9686 9687 9688 9689 9690 9691 9692 9693 9694 9695 9696 9697 9698 9699 9700 9701 9702 9703 9704 9705 9706 9707 9708 9709 9710 9711 9712 9713 9714 9715 9716 9717 9718 9719 9720 9721 9722 9723 9724 9725 9726 9727 9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 9738 9739 9740 9741 9742 9743 9744 9745 9746 9747 9748 9749 9750 9751 9752 9753 9754 9755 9756 9757 9758 9759 9760 9761 9762 9763 9764 9765 9766 9767 9768 9769 9770 9771 9772 9773 9774 9775 9776 9777 9778 9779 9780 9781 9782 9783 9784 9785 9786 9787 9788 9789 9790 9791 9792 9793 9794 9795 9796 9797 9798 9799 9800 9801 9802 9803 9804 9805 9806 9807 9808 9809 9810 9811 9812 9813 9814 9815 9816 9817 9818 9819 9820 9821 9822 9823 9824 9825 9826 9827 9828 9829 9830 9831 9832 9833 9834 9835 9836 9837 9838 9839 9840 9841 9842 9843 9844 9845 9846 9847 9848 9849 9850 9851 9852 9853 9854 9855 9856 9857 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 9868 9869 9870 9871 9872 9873 9874 9875 9876 9877 9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "100 100\n3 7 100 8 5 61 5 75 59 65 51 47 65 37 34 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 14 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 22 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 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598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 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8478 8479 8480 8481 8482 8483 8484 8485 8486 8487 8488 8489 8490 8491 8492 8493 8494 8495 8496 8497 8498 8499 8500 8501 8502 8503 8504 8505 8506 8507 8508 8509 8510 8511 8512 8513 8514 8515 8516 8517 8518 8519 8520 8521 8522 8523 8524 8525 8526 8527 8528 8529 8530 8531 8532 8533 8534 8535 8536 8537 8538 8539 8540 8541 8542 8543 8544 8545 8546 8547 8548 8549 8550 8551 8552 8553 8554 8555 8556 8557 8558 8559 8560 8561 8562 8563 8564 8565 8566 8567 8568 8569 8570 8571 8572 8573 8574 8575 8576 8577 8578 8579 8580 8581 8582 8583 8584 8585 8586 8587 8588 8589 8590 8591 8592 8593 8594 8595 8596 8597 8598 8599 8600 8601 8602 8603 8604 8605 8606 8607 8608 8609 8610 8611 8612 8613 8614 8615 8616 8617 8618 8619 8620 8621 8622 8623 8624 8625 8626 8627 8628 8629 8630 8631 8632 8633 8634 8635 8636 8637 8638 8639 8640 8641 8642 8643 8644 8645 8646 8647 8648 8649 8650 8651 8652 8653 8654 8655 8656 8657 8658 8659 8660 8661 8662 8663 8664 8665 8666 8667 8668 8669 8670 8671 8672 8673 8674 8675 8676 8677 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8878 8879 8880 8881 8882 8883 8884 8885 8886 8887 8888 8889 8890 8891 8892 8893 8894 8895 8896 8897 8898 8899 8900 8901 8902 8903 8904 8905 8906 8907 8908 8909 8910 8911 8912 8913 8914 8915 8916 8917 8918 8919 8920 8921 8922 8923 8924 8925 8926 8927 8928 8929 8930 8931 8932 8933 8934 8935 8936 8937 8938 8939 8940 8941 8942 8943 8944 8945 8946 8947 8948 8949 8950 8951 8952 8953 8954 8955 8956 8957 8958 8959 8960 8961 8962 8963 8964 8965 8966 8967 8968 8969 8970 8971 8972 8973 8974 8975 8976 8977 8978 8979 8980 8981 8982 8983 8984 8985 8986 8987 8988 8989 8990 8991 8992 8993 8994 8995 8996 8997 8998 8999 9000 9001 9002 9003 9004 9005 9006 9007 9008 9009 9010 9011 9012 9013 9014 9015 9016 9017 9018 9019 9020 9021 9022 9023 9024 9025 9026 9027 9028 9029 9030 9031 9032 9033 9034 9035 9036 9037 9038 9039 9040 9041 9042 9043 9044 9045 9046 9047 9048 9049 9050 9051 9052 9053 9054 9055 9056 9057 9058 9059 9060 9061 9062 9063 9064 9065 9066 9067 9068 9069 9070 9071 9072 9073 9074 9075 9076 9077 9078 9079 9080 9081 9082 9083 9084 9085 9086 9087 9088 9089 9090 9091 9092 9093 9094 9095 9096 9097 9098 9099 9100 9101 9102 9103 9104 9105 9106 9107 9108 9109 9110 9111 9112 9113 9114 9115 9116 9117 9118 9119 9120 9121 9122 9123 9124 9125 9126 9127 9128 9129 9130 9131 9132 9133 9134 9135 9136 9137 9138 9139 9140 9141 9142 9143 9144 9145 9146 9147 9148 9149 9150 9151 9152 9153 9154 9155 9156 9157 9158 9159 9160 9161 9162 9163 9164 9165 9166 9167 9168 9169 9170 9171 9172 9173 9174 9175 9176 9177 9178 9179 9180 9181 9182 9183 9184 9185 9186 9187 9188 9189 9190 9191 9192 9193 9194 9195 9196 9197 9198 9199 9200 9201 9202 9203 9204 9205 9206 9207 9208 9209 9210 9211 9212 9213 9214 9215 9216 9217 9218 9219 9220 9221 9222 9223 9224 9225 9226 9227 9228 9229 9230 9231 9232 9233 9234 9235 9236 9237 9238 9239 9240 9241 9242 9243 9244 9245 9246 9247 9248 9249 9250 9251 9252 9253 9254 9255 9256 9257 9258 9259 9260 9261 9262 9263 9264 9265 9266 9267 9268 9269 9270 9271 9272 9273 9274 9275 9276 9277 9278 9279 9280 9281 9282 9283 9284 9285 9286 9287 9288 9289 9290 9291 9292 9293 9294 9295 9296 9297 9298 9299 9300 9301 9302 9303 9304 9305 9306 9307 9308 9309 9310 9311 9312 9313 9314 9315 9316 9317 9318 9319 9320 9321 9322 9323 9324 9325 9326 9327 9328 9329 9330 9331 9332 9333 9334 9335 9336 9337 9338 9339 9340 9341 9342 9343 9344 9345 9346 9347 9348 9349 9350 9351 9352 9353 9354 9355 9356 9357 9358 9359 9360 9361 9362 9363 9364 9365 9366 9367 9368 9369 9370 9371 9372 9373 9374 9375 9376 9377 9378 9379 9380 9381 9382 9383 9384 9385 9386 9387 9388 9389 9390 9391 9392 9393 9394 9395 9396 9397 9398 9399 9400 9401 9402 9403 9404 9405 9406 9407 9408 9409 9410 9411 9412 9413 9414 9415 9416 9417 9418 9419 9420 9421 9422 9423 9424 9425 9426 9427 9428 9429 9430 9431 9432 9433 9434 9435 9436 9437 9438 9439 9440 9441 9442 9443 9444 9445 9446 9447 9448 9449 9450 9451 9452 9453 9454 9455 9456 9457 9458 9459 9460 9461 9462 9463 9464 9465 9466 9467 9468 9469 9470 9471 9472 9473 9474 9475 9476 9477 9478 9479 9480 9481 9482 9483 9484 9485 9486 9487 9488 9489 9490 9491 9492 9493 9494 9495 9496 9497 9498 9499 9500 9501 9502 9503 9504 9505 9506 9507 9508 9509 9510 9511 9512 9513 9514 9515 9516 9517 9518 9519 9520 9521 9522 9523 9524 9525 9526 9527 9528 9529 9530 9531 9532 9533 9534 9535 9536 9537 9538 9539 9540 9541 9542 9543 9544 9545 9546 9547 9548 9549 9550 9551 9552 9553 9554 9555 9556 9557 9558 9559 9560 9561 9562 9563 9564 9565 9566 9567 9568 9569 9570 9571 9572 9573 9574 9575 9576 9577 9578 9579 9580 9581 9582 9583 9584 9585 9586 9587 9588 9589 9590 9591 9592 9593 9594 9595 9596 9597 9598 9599 9600 9601 9602 9603 9604 9605 9606 9607 9608 9609 9610 9611 9612 9613 9614 9615 9616 9617 9618 9619 9620 9621 9622 9623 9624 9625 9626 9627 9628 9629 9630 9631 9632 9633 9634 9635 9636 9637 9638 9639 9640 9641 9642 9643 9644 9645 9646 9647 9648 9649 9650 9651 9652 9653 9654 9655 9656 9657 9658 9659 9660 9661 9662 9663 9664 9665 9666 9667 9668 9669 9670 9671 9672 9673 9674 9675 9676 9677 9678 9679 9680 9681 9682 9683 9684 9685 9686 9687 9688 9689 9690 9691 9692 9693 9694 9695 9696 9697 9698 9699 9700 9701 9702 9703 9704 9705 9706 9707 9708 9709 9710 9711 9712 9713 9714 9715 9716 9717 9718 9719 9720 9721 9722 9723 9724 9725 9726 9727 9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 9738 9739 9740 9741 9742 9743 9744 9745 9746 9747 9748 9749 9750 9751 9752 9753 9754 9755 9756 9757 9758 9759 9760 9761 9762 9763 9764 9765 9766 9767 9768 9769 9770 9771 9772 9773 9774 9775 9776 9777 9778 9779 9780 9781 9782 9783 9784 9785 9786 9787 9788 9789 9790 9791 9792 9793 9794 9795 9796 9797 9798 9799 9800 9801 9802 9803 9804 9805 9806 9807 9808 9809 9810 9811 9812 9813 9814 9815 9816 9817 9818 9819 9820 9821 9822 9823 9824 9825 9826 9827 9828 9829 9830 9831 9832 9833 9834 9835 9836 9837 9838 9839 9840 9841 9842 9843 9844 9845 9846 9847 9848 9849 9850 9851 9852 9853 9854 9855 9856 9857 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 9868 9869 9870 9871 9872 9873 9874 9875 9876 9877 9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 14 2 25 17 11 35 1 1 13 11 16 6 20 21 9 17 1 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 853 854 855 856 857 860 861 863 865 875 "
}
},
{
"input": {
"stdin": "5 5\n1 1 1 2 1\n"
},
"output": {
"stdout": "5 6 7 8 9 10 "
}
},
{
"input": {
"stdin": "10 3\n3 4 12 5 7 11 1 10 1 6\n"
},
"output": {
"stdout": "3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 "
}
},
{
"input": {
"stdin": "100 100\n3 7 100 8 5 61 5 75 59 65 51 47 65 37 67 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 14 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 22 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 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9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "100 100\n6 7 100 8 5 61 5 75 59 65 51 47 83 37 34 54 87 46 4 26 21 87 12 97 86 68 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 16 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 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9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 "
}
},
{
"input": {
"stdin": "10 6\n1 4 19 5 7 11 1 20 1 6\n"
},
"output": {
"stdout": "6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 114 115 116 117 118 119 120 "
}
},
{
"input": {
"stdin": "10 3\n2 4 12 5 7 11 1 10 1 6\n"
},
"output": {
"stdout": "3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 "
}
},
{
"input": {
"stdin": "100 100\n3 7 100 8 5 61 5 75 59 65 51 47 65 37 34 54 87 46 4 26 21 87 12 97 86 21 60 11 62 76 14 83 29 31 91 62 57 80 47 75 85 97 62 77 91 86 14 25 48 19 83 65 39 61 78 77 45 46 90 74 100 91 86 98 55 5 84 42 91 69 100 4 74 98 60 37 75 44 41 12 15 34 36 1 99 22 7 87 36 26 79 42 41 84 17 98 72 16 38 55\n"
},
"output": {
"stdout": "100 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 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}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 15 27 33 5 9 29 33 24 49 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 46 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 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1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 "
}
},
{
"input": {
"stdin": "10 6\n2 4 12 5 7 11 1 10 1 6\n"
},
"output": {
"stdout": "6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 "
}
},
{
"input": {
"stdin": "10 6\n1 4 12 5 7 11 1 10 1 6\n"
},
"output": {
"stdout": "6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 "
}
},
{
"input": {
"stdin": "3 2\n2 2 3\n"
},
"output": {
"stdout": "4 5 6 "
}
},
{
"input": {
"stdin": "5 5\n1 1 1 2 2\n"
},
"output": {
"stdout": "5 6 7 8 9 10 "
}
},
{
"input": {
"stdin": "25 25\n6 3 13 25 2 25 17 11 35 1 1 13 11 16 6 20 21 9 17 16 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 853 855 856 857 860 861 863 865 875 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 3 27 33 5 9 29 33 24 82 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 46 37 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 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2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 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3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4031 4032 4034 4035 4036 4037 4040 4041 4042 4044 4045 4046 4047 4048 4050 4051 4053 4055 4057 4060 4064 4067 4068 4100 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 3 27 33 5 9 29 33 24 82 39 16 44 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 64 37 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 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}
},
{
"input": {
"stdin": "8 61\n2 2 482 475 471 480 460 450\n"
},
"output": {
"stdout": "122 570 580 591 595 600 602 1018 1028 1038 1039 1043 1048 1049 1050 1053 1058 1060 1064 1068 1069 1071 1073 1075 1078 1080 1082 1466 1476 1486 1487 1491 1496 1497 1498 1501 1506 1507 1508 1511 1512 1516 1517 1518 1519 1521 1522 1523 1526 1527 1528 1529 1530 1531 1533 1536 1537 1538 1540 1541 1542 1544 1546 1547 1548 1549 1551 1553 1555 1556 1558 1560 1562 1914 1924 1934 1935 1939 1944 1945 1946 1949 1954 1955 1956 1959 1960 1964 1965 1966 1967 1969 1970 1971 1974 1975 1976 1977 1978 1979 1980 1981 1984 1985 1986 1987 1988 1989 1990 1991 1992 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2024 2025 2026 2027 2028 2029 2031 2033 2034 2035 2036 2038 2040 2042 2362 2372 2382 2383 2387 2392 2393 2394 2397 2402 2403 2404 2407 2408 2412 2413 2414 2415 2417 2418 2419 2422 2423 2424 2425 2426 2427 2428 2429 2432 2433 2434 2435 2436 2437 2438 2439 2440 2442 2443 2444 2445 2446 2447 2448 2449 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29219 29220 29221 29222 29223 29224 29225 29226 29227 29228 29229 29230 29231 29232 29233 29234 29235 29236 29237 29238 29239 29240 29241 29242 29243 29244 29245 29246 29247 29248 29249 29250 29251 29252 29253 29254 29255 29256 29257 29258 29259 29260 29261 29262 29263 29264 29265 29266 29267 29268 29269 29270 29271 29272 29273 29274 29275 29276 29277 29278 29279 29280 29281 29282 29283 29284 29285 29286 29287 29288 29289 29290 29291 29292 29293 29294 29295 29296 29297 29298 29299 29300 29301 29302 29303 29304 29305 29306 29307 29308 29309 29310 29311 29312 29313 29314 29315 29316 29317 29318 29319 29320 29321 29322 29323 29324 29325 29326 29327 29328 29329 29330 29331 29332 29333 29334 29335 29336 29337 29338 29339 29340 29341 29342 29343 29344 29345 29346 29347 29348 29349 29350 29351 29352 29353 29354 29355 29356 29357 29358 29359 29360 29361 29362 29363 29364 29365 29366 29367 29368 29369 29370 29371 29372 29373 29374 29375 29376 29377 29378 29379 29380 29381 29382 29383 29384 29385 29386 29387 29388 29389 29390 29391 29392 29393 29394 29395 29396 29398 29400 29402 "
}
},
{
"input": {
"stdin": "10 3\n3 4 12 5 7 13 5 10 1 6\n"
},
"output": {
"stdout": "3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 "
}
},
{
"input": {
"stdin": "50 50\n27 4 35 30 19 8 29 22 18 35 32 9 3 27 33 5 9 29 33 24 82 39 16 22 49 2 50 22 19 23 30 50 17 3 24 42 39 5 10 28 64 37 50 11 3 26 7 17 22 18\n"
},
"output": {
"stdout": "100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 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597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 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2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 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3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4039 4040 4041 4042 4044 4045 4046 4047 4048 4049 4050 4051 4053 4055 4057 4060 4064 4067 4068 4082 4100 "
}
},
{
"input": {
"stdin": "25 25\n6 3 16 25 2 25 17 11 24 1 1 13 9 16 6 20 21 9 17 16 6 4 9 23 9\n"
},
"output": {
"stdout": "25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 "
}
}
] |
{
"tags": [
"divide and conquer",
"dp",
"fft",
"math"
],
"title": "Thief in a Shop"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int MAXN = 1025, N = 3;\nint n, k, a[MAXN];\nvoid init() {\n scanf(\"%d %d\", &n, &k);\n for (int i = 1; i <= n; i++) {\n scanf(\"%d\", &a[i]);\n }\n}\nlong long MOD[N], G[N], INVG[N], o;\nlong long pow(long long x, long long k, long long p) {\n long long ans = 1;\n for (long long i = k; i; i >>= 1, x = (x * x) % p)\n if (i & 1) ans = (ans * x) % p;\n return ans;\n}\nnamespace NTT {\nint r[MAXN * MAXN];\nint init(int n) {\n int len = 0;\n while ((1 << len) < n) len++;\n for (int i = 0; i < (1 << len); i++)\n r[i] = (r[i >> 1] >> 1) | ((i & 1) << (len - 1));\n return 1 << len;\n}\nvoid ntt(long long *P, int n, int op) {\n for (int i = 0; i < n; i++)\n if (i < r[i]) swap(P[i], P[r[i]]);\n for (int i = 1; i < n; i <<= 1) {\n long long w =\n pow((op == 1 ? G[o] : INVG[o]), (MOD[o] - 1) / (i << 1), MOD[o]);\n for (int j = 0; j < n; j += (i << 1)) {\n long long wn = 1;\n for (int k = 0; k < i; k++, wn = (wn * w) % MOD[o]) {\n long long p = P[j + k], q = wn * P[j + i + k] % MOD[o];\n P[j + k] = (p + q) % MOD[o];\n P[j + i + k] = (p - q) % MOD[o];\n if (P[j + i + k] < 0) P[j + i + k] += MOD[o];\n }\n }\n }\n}\n} // namespace NTT\nlong long res[N][MAXN * MAXN];\nvoid solve() {\n MOD[0] = 998244353, G[0] = 3, INVG[0] = pow(G[0], MOD[0] - 2, MOD[0]);\n MOD[1] = 1004535809, G[1] = 3, INVG[1] = pow(G[1], MOD[1] - 2, MOD[1]);\n MOD[2] = 2281701377, G[2] = 3, INVG[2] = pow(G[2], MOD[2] - 2, MOD[2]);\n int t = NTT::init(k * 1000 + 10);\n for (int x = 0; x < N; x++) {\n o = x;\n for (int i = 1; i <= n; i++) res[x][a[i]] = 1;\n NTT::ntt(res[x], t, 1);\n for (int i = 0; i < t; i++) res[x][i] = pow(res[x][i], k, MOD[x]);\n NTT::ntt(res[x], t, -1);\n long long inv = pow(n, MOD[x] - 2, MOD[x]);\n for (int i = 0; i < t; i++) res[x][i] = res[x][i] * inv % MOD[x];\n }\n for (int i = 0; i < t; i++) {\n if (res[0][i] != 0 || res[1][i] != 0 || res[2][i] != 0) {\n printf(\"%d \", i);\n }\n }\n printf(\"\\n\");\n}\nint main() {\n init();\n solve();\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\npublic class E \n{\n\t\n\tpublic static void main(String[] arg) throws IOException\n\t{\n\t\tnew E();\n\t}\n\tFFT ft;\n\tpublic E() throws IOException\n\t{\n\t\tFastScanner in = new FastScanner(System.in);\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\tint n = in.nextInt();\n\t\tint k = in.nextInt();\n\t\tlong[] a = new long[1001];\n\t\tft = new FFT();\n\t\tfor(int i = 0; i < n; i++)\n\t\t{\n\t\t\ta[in.nextInt()] = 1;\n\t\t}\n\t\ta = fpfft(a, k);\n\t\tfor(int i = 0; i < a.length; i++)\n\t\t{\n\t\t\tif(a[i] > 0) out.print(i + \" \");\n\t\t}\n\t\tin.close(); out.close();\n\t}\n\tlong[] fpfft(long[] a, long power) {\n\t\t//System.out.println(power+\" of \"+Arrays.toString(a));\n\t\tlong[] bonus = new long[a.length];\n\t\tbonus[0] = 1;\n\t\twhile (power > 1) {\n\t\t\tif (power % 2 == 1) {\n\t\t\t\tbonus = ft.mul(bonus, a);\n\t\t\t\tpower--;\n\t\t\t}\n\t\t\tpower /= 2;\n\t\t\ta = ft.mul(a, a);\n\t\t}\n\t\treturn multiply(a, bonus);\n\t}\n\tclass FastScanner\n\t{\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\t\tpublic FastScanner(InputStream in)\n\t\t{\n\t\t\tbr = new BufferedReader(new InputStreamReader(in));\n\t\t\tst = new StringTokenizer(\"\");\n\t\t}\n\t\tpublic String next() throws IOException\n\t\t{\n\t\t\twhile(!st.hasMoreTokens()) st = new StringTokenizer(br.readLine());\n\t\t\treturn st.nextToken();\n\t\t}\n\t\tpublic int nextInt() throws IOException\n\t\t{\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\t\tpublic void close() throws IOException\n\t\t{\n\t\t\tbr.close();\n\t\t}\n\t}\n\tvoid fft(double[] a, double[] b, boolean invert) {\n\t\tint count = a.length;\n\t\tfor (int i = 1, j = 0; i < count; i++) {\n\t\t\tint bit = count >> 1;\n\t\t\tfor (; j >= bit; bit >>= 1) j -= bit;\n\t\t\tj += bit;\n\t\t\tif (i < j) {\n\t\t\t\tdouble temp = a[i];\n\t\t\t\ta[i] = a[j];\n\t\t\t\ta[j] = temp;\n\t\t\t\ttemp = b[i];\n\t\t\t\tb[i] = b[j];\n\t\t\t\tb[j] = temp;\n\t\t\t}\n\t\t}\n\t\tfor (int len = 2; len <= count; len <<= 1) {\n\t\t\tint halfLen = len >> 1;\n\t\t\tdouble angle = 2 * Math.PI / len;\n\t\t\tif (invert) angle = -angle;\n\t\t\tdouble wLenA = Math.cos(angle), wLenB = Math.sin(angle);\n\t\t\tfor (int i = 0; i < count; i += len) {\n\t\t\t\tdouble wA = 1, wB = 0;\n\t\t\t\tfor (int j = 0; j < halfLen; j++) {\n\t\t\t\t\tdouble uA = a[i + j], uB = b[i + j];\n\t\t\t\t\tdouble vA = a[i + j + halfLen] * wA - b[i + j + halfLen] * wB;\n\t\t\t\t\tdouble vB = a[i + j + halfLen] * wB + b[i + j + halfLen] * wA;\n\t\t\t\t\ta[i + j] = uA + vA;\n\t\t\t\t\tb[i + j] = uB + vB;\n\t\t\t\t\ta[i + j + halfLen] = uA - vA;\n\t\t\t\t\tb[i + j + halfLen] = uB - vB;\n\t\t\t\t\tdouble nextWA = wA * wLenA - wB * wLenB;\n\t\t\t\t\twB = wA * wLenB + wB * wLenA;\n\t\t\t\t\twA = nextWA;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tif (invert) {\n\t\t\tfor (int i = 0; i < count; i++) {\n\t\t\t\ta[i] /= count;\n\t\t\t\tb[i] /= count;\n\t\t\t}\n\t\t}\n\t}\n\tlong[] multiply(long[] a, long[] b) {\n\t\tint resultSize = Integer.highestOneBit(Math.max(a.length, b.length) - 1) << 2;\n\t\tresultSize = Math.max(resultSize, 1);\n\t\tdouble[] aReal = new double[resultSize], aImaginary = new double[resultSize];\n\t\tdouble[] bReal = new double[resultSize], bImaginary = new double[resultSize];\n\t\tfor (int i = 0; i < a.length; i++) aReal[i] = a[i];\n\t\tfor (int i = 0; i < b.length; i++) bReal[i] = b[i];\n\t\tfft(aReal, aImaginary, false);\n\t\tif (a == b) \n\t\t{\n\t\t\tSystem.arraycopy(aReal, 0, bReal, 0, aReal.length);\n\t\t\tSystem.arraycopy(aImaginary, 0, bImaginary, 0, aImaginary.length);\n\t\t} \n\t\telse fft(bReal, bImaginary, false);\n\t\tfor (int i = 0; i < resultSize; i++) {\n\t\t\tdouble real = aReal[i] * bReal[i] - aImaginary[i] * bImaginary[i];\n\t\t\taImaginary[i] = aImaginary[i] * bReal[i] + bImaginary[i] * aReal[i];\n\t\t\taReal[i] = real;\n\t\t}\n\t\tfft(aReal, aImaginary, true);\n\t\t\n\t\tlong[] result = new long[Math.min(1_000_001, resultSize)];\n\t\tfor (int i = 0; i < result.length; i++)\n\t\t{\n\t\t\tresult[i] = Math.round(aReal[i]) > 0 ? 1 : 0;\n\t\t}\n\t\treturn result;\n\t}\n\tclass FFT {\n\t\tpublic int MAXN = 1_000_000 + 5;\n\t\tdouble[][] wp = new double[2][8 * MAXN];\n\n\t\tvoid fft(double[][] a, boolean inv) {\n\t\t\tint n = a[0].length;\n\t\t\tfor (int i = 1, j = 0; i < n; i++) {\n\t\t\t\tint bit = (n >> 1);\n\t\t\t\twhile ((j & bit) != 0) {\n\t\t\t\t\tj ^= bit;\n\t\t\t\t\tbit >>= 1;\n\t\t\t\t}\n\t\t\t\tj ^= bit;\n\t\t\t\tif (i < j) {\n\t\t\t\t\tdouble a1 = a[0][i];\n\t\t\t\t\tdouble b1 = a[1][i];\n\t\t\t\t\ta[0][i] = a[0][j];\n\t\t\t\t\ta[1][i] = a[1][j];\n\n\t\t\t\t\ta[0][j] = a1;\n\t\t\t\t\ta[1][j] = b1;\n\t\t\t\t}\n\t\t\t}\n\t\t\tfor (int k = 1; k < n; k <<= 1) {\n\t\t\t\twp[0][0] = 1;\n\t\t\t\twp[1][0] = 0;\n\t\t\t\twp[0][1] = Math.cos(Math.PI / k);\n\t\t\t\twp[1][1] = Math.sin(Math.PI / k);\n\t\t\t\tif (inv)\n\t\t\t\t\twp[1][1] = -wp[1][1];\n\t\t\t\tfor (int i = 2; i < k; i++) {\n\t\t\t\t\tint i1 = i >> 1, i2 = (i + 1) >> 1;\n\t\t\t\t\twp[0][i] = wp[0][i1] * wp[0][i2] - wp[1][i1] * wp[1][i2];\n\t\t\t\t\twp[1][i] = wp[1][i1] * wp[0][i2] + wp[0][i1] * wp[1][i2];\n\t\t\t\t}\n\t\t\t\tfor (int i = 0; i < n; i += 2 * k)\n\t\t\t\t\tfor (int j = 0; j < k; j++) {\n\t\t\t\t\t\tdouble va = a[0][i + j];\n\t\t\t\t\t\tdouble vb = a[1][i + j];\n\t\t\t\t\t\tdouble ua = a[0][i + j + k] * wp[0][j] - a[1][i + j + k] * wp[1][j];\n\t\t\t\t\t\tdouble ub = a[0][i + j + k] * wp[1][j] + a[1][i + j + k] * wp[0][j];\n\n\t\t\t\t\t\ta[0][i + j] = va + ua;\n\t\t\t\t\t\ta[1][i + j] = vb + ub;\n\t\t\t\t\t\ta[0][i + j + k] = va - ua;\n\t\t\t\t\t\ta[1][i + j + k] = vb - ub;\n\t\t\t\t\t}\n\t\t\t}\n\t\t\tif (inv)\n\t\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\t\ta[0][i] /= n;\n\t\t\t\t\ta[1][i] /= n;\n\t\t\t\t}\n\t\t}\n\n\t\tlong[] mul(long[] a, long[] b) {\n\t\t\tint n = (int) a.length + (int) b.length - 1;\n\t\t\tint nn = 1;\n\t\t\twhile (nn < n)\n\t\t\t\tnn <<= 1;\n\t\t\tn = nn;\n\t\t\tdouble[][] fa = new double[2][n];\n\t\t\tdouble[][] fb = new double[2][n];\n\t\t\tfor (int i = 0; i < a.length; i++)\n\t\t\t\tfa[0][i] = a[i];\n\t\t\tfor (int i = 0; i < b.length; i++)\n\t\t\t\tfb[0][i] = b[i];\n\t\t\tfft(fa, false);\n\t\t\tfft(fb, false);\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tdouble a1 = fa[0][i], b1 = fa[1][i];\n\t\t\t\tfa[0][i] = a1 * fb[0][i] - b1 * fb[1][i];\n\t\t\t\tfa[1][i] = a1 * fb[1][i] + b1 * fb[0][i];\n\t\t\t\t// fa[i] = fa[i].times(fb[i]);\n\t\t\t}\n\t\t\tfft(fa, true);\n\t\t\tArrayList<Long> ans = new ArrayList<>();\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tlong val = (long) Math.round(fa[0][i]);\n\t\t\t\tif (val != 0) {\n\t\t\t\t\twhile ((int) ans.size() < i)\n\t\t\t\t\t\tans.add(0L);\n\t\t\t\t\tans.add(val);\n\t\t\t\t}\n\t\t\t}\n\t\t\tlong[] ansArr = new long[ans.size()];\n\t\t\tfor (int i = 0; i < ansArr.length; i++)\n\t\t\t\tansArr[i] = ans.get(i) > 0 ? 1 : 0;\n\t\t\treturn ansArr;\n\t\t}\n\n\t}\n}",
"python": "n, k = map(int, raw_input().split())\na = map(int, raw_input().split())\n\na = list(set(a))\na.sort()\nmn, mx = a[0], a[-1]\nlo = mn * k\nhi = mx * k\nD = [t - mn for t in a] \n\nmodify_cnt = [k+1] * 1000010\nmodify_cnt[0] = 0\nfor d in D:\n if d == 0: continue\n for i in xrange(0, hi - d + 1):\n modify_cnt[i+d] = min(modify_cnt[i+d], modify_cnt[i]+1)\n\nans = [j+mn*k for j in xrange(hi+1) if modify_cnt[j] <= k]\nprint ' '.join(map(str, ans))\n"
}
|
|
|
# Seasons
You are given a name of a month. Output the season of the year to which it belongs (based on Northern hemisphere).
Input
The input consists of a single string containing the name of one of the twelve months (January, February, March, April, May, June, July, August, September, October, November or December). The string is capitalized as given here.
Output
Output a single string — the season of the year to which the given month belongs (winter, spring, summer or autumn). The name of the season should be in lowercase.
Examples
Input
April
Output
spring
Input
November
Output
autumn
Note
Assume that winter is December through February, spring is March through May, summer is June through August and autumn is September through November.
|
[
{
"input": {
"stdin": "April\n"
},
"output": {
"stdout": "spring\n"
}
},
{
"input": {
"stdin": "November\n"
},
"output": {
"stdout": "autumn\n"
}
}
] |
{
"tags": [
"*special"
],
"title": "Seasons"
}
|
{
"cpp": null,
"java": null,
"python": null
}
|
|
|
# Kay and Snowflake
After the piece of a devilish mirror hit the Kay's eye, he is no longer interested in the beauty of the roses. Now he likes to watch snowflakes.
Once upon a time, he found a huge snowflake that has a form of the tree (connected acyclic graph) consisting of n nodes. The root of tree has index 1. Kay is very interested in the structure of this tree.
After doing some research he formed q queries he is interested in. The i-th query asks to find a centroid of the subtree of the node vi. Your goal is to answer all queries.
Subtree of a node is a part of tree consisting of this node and all it's descendants (direct or not). In other words, subtree of node v is formed by nodes u, such that node v is present on the path from u to root.
Centroid of a tree (or a subtree) is a node, such that if we erase it from the tree, the maximum size of the connected component will be at least two times smaller than the size of the initial tree (or a subtree).
Input
The first line of the input contains two integers n and q (2 ≤ n ≤ 300 000, 1 ≤ q ≤ 300 000) — the size of the initial tree and the number of queries respectively.
The second line contains n - 1 integer p2, p3, ..., pn (1 ≤ pi ≤ n) — the indices of the parents of the nodes from 2 to n. Node 1 is a root of the tree. It's guaranteed that pi define a correct tree.
Each of the following q lines contain a single integer vi (1 ≤ vi ≤ n) — the index of the node, that define the subtree, for which we want to find a centroid.
Output
For each query print the index of a centroid of the corresponding subtree. If there are many suitable nodes, print any of them. It's guaranteed, that each subtree has at least one centroid.
Example
Input
7 4
1 1 3 3 5 3
1
2
3
5
Output
3
2
3
6
Note
<image>
The first query asks for a centroid of the whole tree — this is node 3. If we delete node 3 the tree will split in four components, two of size 1 and two of size 2.
The subtree of the second node consists of this node only, so the answer is 2.
Node 3 is centroid of its own subtree.
The centroids of the subtree of the node 5 are nodes 5 and 6 — both answers are considered correct.
|
[
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n2\n3\n5\n"
},
"output": {
"stdout": "3\n2\n3\n5\n"
}
},
{
"input": {
"stdin": "2 2\n1\n1\n2\n"
},
"output": {
"stdout": "1\n2\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n3\n3\n5\n"
},
"output": {
"stdout": "2\n3\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n5\n3\n5\n"
},
"output": {
"stdout": "4\n5\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n3\n5\n3\n1\n"
},
"output": {
"stdout": "3\n5\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n5\n5\n2\n3\n"
},
"output": {
"stdout": "5\n5\n2\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n2\n3\n7\n"
},
"output": {
"stdout": "3\n2\n3\n7\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n5\n2\n3\n"
},
"output": {
"stdout": "4\n5\n2\n3\n"
}
},
{
"input": {
"stdin": "7 1\n1 1 3 3 5 3\n4\n7\n3\n5\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 5\n3\n5\n2\n3\n"
},
"output": {
"stdout": "5\n5\n2\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n1\n3\n5\n"
},
"output": {
"stdout": "4\n3\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 2 3 3 5 3\n1\n2\n3\n2\n"
},
"output": {
"stdout": "3\n3\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 4 5 3\n7\n4\n3\n5\n"
},
"output": {
"stdout": "7\n5\n4\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 6\n2\n4\n3\n5\n"
},
"output": {
"stdout": "2\n4\n5\n6\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n2\n3\n2\n"
},
"output": {
"stdout": "3\n2\n3\n2\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 6 3 5 3\n5\n5\n2\n3\n"
},
"output": {
"stdout": "6\n6\n2\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n3\n5\n3\n3\n"
},
"output": {
"stdout": "3\n5\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n4\n3\n2\n"
},
"output": {
"stdout": "3\n4\n3\n2\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n4\n3\n7\n"
},
"output": {
"stdout": "2\n4\n3\n7\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n2\n2\n3\n"
},
"output": {
"stdout": "4\n2\n2\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n5\n3\n3\n"
},
"output": {
"stdout": "2\n5\n3\n3\n"
}
},
{
"input": {
"stdin": "7 1\n1 1 3 3 5 3\n2\n4\n3\n3\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 4\n1 2 3 3 5 3\n2\n5\n3\n3\n"
},
"output": {
"stdout": "3\n5\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 5\n4\n5\n3\n5\n"
},
"output": {
"stdout": "4\n5\n5\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 2 3 3 5 3\n1\n4\n3\n2\n"
},
"output": {
"stdout": "3\n4\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n7\n3\n5\n"
},
"output": {
"stdout": "4\n7\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n2\n3\n5\n"
},
"output": {
"stdout": "2\n2\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 4 5 3\n2\n4\n3\n3\n"
},
"output": {
"stdout": "2\n5\n4\n4\n"
}
},
{
"input": {
"stdin": "2 2\n1\n1\n1\n"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 2 5 3\n5\n5\n2\n3\n"
},
"output": {
"stdout": "5\n5\n5\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n4\n3\n7\n"
},
"output": {
"stdout": "3\n4\n3\n7\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n3\n5\n5\n"
},
"output": {
"stdout": "2\n3\n5\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n2\n3\n5\n"
},
"output": {
"stdout": "4\n2\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n2\n3\n4\n"
},
"output": {
"stdout": "4\n2\n3\n4\n"
}
},
{
"input": {
"stdin": "7 1\n1 1 6 3 5 3\n4\n7\n3\n5\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n7\n3\n3\n"
},
"output": {
"stdout": "2\n7\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n4\n3\n5\n"
},
"output": {
"stdout": "2\n4\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n4\n2\n5\n"
},
"output": {
"stdout": "4\n4\n2\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n1\n3\n3\n7\n"
},
"output": {
"stdout": "3\n3\n3\n7\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n7\n2\n2\n5\n"
},
"output": {
"stdout": "7\n2\n2\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n7\n4\n3\n5\n"
},
"output": {
"stdout": "7\n4\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n2\n2\n5\n"
},
"output": {
"stdout": "4\n2\n2\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n3\n5\n2\n3\n"
},
"output": {
"stdout": "3\n5\n2\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 4 5 3\n1\n4\n3\n2\n"
},
"output": {
"stdout": "3\n5\n4\n2\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n2\n4\n3\n3\n"
},
"output": {
"stdout": "2\n4\n3\n3\n"
}
},
{
"input": {
"stdin": "7 4\n1 2 3 3 5 3\n4\n2\n3\n5\n"
},
"output": {
"stdout": "4\n3\n3\n5\n"
}
},
{
"input": {
"stdin": "7 4\n1 1 3 3 5 3\n4\n4\n3\n5\n"
},
"output": {
"stdout": "4\n4\n3\n5\n"
}
}
] |
{
"tags": [
"data structures",
"dfs and similar",
"dp",
"trees"
],
"title": "Kay and Snowflake"
}
|
{
"cpp": "#include <bits/stdc++.h>\nnamespace XX {\ntemplate <int BLOCKSIZE>\nclass MemoryManager {\n public:\n static constexpr const int INIT =\n 1024 * 1024 / BLOCKSIZE ? 1024 * 1024 / BLOCKSIZE : 1;\n static MemoryManager* inst() {\n static MemoryManager ret;\n return &ret;\n }\n void* alloc() {\n void* ret;\n if (_ptr) {\n ret = _ptr;\n _ptr = *static_cast<void**>(_ptr);\n } else {\n if (_pos == _size) {\n _pos = 0;\n _buf[++_idx] = new char[_size <<= 1];\n }\n ret = _buf[_idx] + _pos;\n _pos += BLOCKSIZE;\n }\n return ret;\n }\n void dealloc(void* p) {\n *static_cast<void**>(p) = _ptr;\n _ptr = p;\n }\n ~MemoryManager() {\n for (int i = 1; i <= _idx; i++) delete[] _buf[i];\n }\n\n private:\n MemoryManager() { _buf[0] = _init; }\n char _init[INIT * BLOCKSIZE];\n int _size = INIT * BLOCKSIZE;\n int _idx = 0;\n int _pos = 0;\n char* _buf[32] = {};\n void* _ptr = nullptr;\n};\ntemplate <typename T>\nstruct BlockAllocater {\n void* operator new(std::size_t count) {\n return MemoryManager<sizeof(T)>::inst()->alloc();\n }\n void operator delete(void* ptr) {\n return MemoryManager<sizeof(T)>::inst()->dealloc(ptr);\n }\n};\ntemplate <typename T>\nstruct NullNode {\n static T nullnode;\n static T* null() { return &nullnode; }\n bool isNull() { return this == null(); }\n};\ntemplate <typename T>\nT NullNode<T>::nullnode;\n} // namespace XX\nnamespace XX {\ntemplate <typename... EdgeTs>\nclass Graph {\n public:\n struct Edge : public EdgeTs... {\n int from, to;\n Edge(int f, int t, EdgeTs... args) : from(f), to(t), EdgeTs(args)... {}\n Edge() {}\n };\n struct Node : public Edge, BlockAllocater<Node> {\n Node* next;\n template <typename... Args>\n Node(Node* nn, Args... args) : next(nn), Edge(args...) {}\n };\n typedef Node* EdgeIdx;\n\n private:\n std::vector<Node*> _adj;\n int _numVertex;\n void _dealloc(Node* node) {\n if (node) {\n _dealloc(node->next);\n delete node;\n }\n }\n\n public:\n Graph(int v = 0) : _adj(v) {}\n int size() { return _adj.size(); }\n void resize(int size) { _adj.resize(size); }\n EdgeIdx add(int from, int to, EdgeTs... args) {\n return _adj[from] = new Node{_adj[from], from, to, args...};\n }\n Node& operator[](EdgeIdx idx) { return idx->e; }\n struct Enumerator {\n struct It {\n Node* ptr;\n Node& operator*() { return *ptr; }\n void operator++() { ptr = ptr->next; }\n bool operator!=(const It& other) { return ptr != other.ptr; }\n } b, e;\n It begin() { return b; }\n It end() { return e; }\n };\n struct AllEnumerator {\n struct It {\n Node* ptr;\n int v;\n Graph& g;\n Node& operator*() { return *ptr; }\n void operator++() {\n ptr = ptr->next;\n while (!ptr && ++v < g.size()) ptr = g._adj[v];\n }\n bool operator!=(const It& other) { return ptr != other.ptr; }\n };\n Graph& g;\n It begin() {\n for (int i = 0; i < g.size(); i++)\n if (g._adj[i]) return {g._adj[i], i, g};\n return end();\n }\n It end() { return {nullptr, 0, g}; }\n };\n Enumerator adj(int v) { return {_adj[v], nullptr}; }\n Enumerator adj(EdgeIdx idx) { return {idx, nullptr}; }\n AllEnumerator edges() { return {*this}; }\n Enumerator operator[](int idx) { return adj(idx); }\n};\n} // namespace XX\ntemplate <typename T>\nstruct ScanfSpecifier {};\ntemplate <>\nstruct ScanfSpecifier<int> {\n static constexpr const char* value = \"%d\";\n};\ntemplate <>\nstruct ScanfSpecifier<double> {\n static constexpr const char* value = \"%lf\";\n};\ntemplate <>\nstruct ScanfSpecifier<float> {\n static constexpr const char* value = \"%f\";\n};\ntemplate <>\nstruct ScanfSpecifier<char> {\n static constexpr const char* value = \"%c\";\n};\ntemplate <>\nstruct ScanfSpecifier<const char*> {\n static constexpr const char* value = \"%s\";\n};\ntemplate <>\nstruct ScanfSpecifier<unsigned long> {\n static constexpr const char* value = \"%lu\";\n};\ntemplate <>\nstruct ScanfSpecifier<char*> {\n static constexpr const char* value = \"%s\";\n};\ntemplate <>\nstruct ScanfSpecifier<unsigned int> {\n static constexpr const char* value = \"%u\";\n};\ntemplate <>\nstruct ScanfSpecifier<long long int> {\n static constexpr const char* value = \"%lld\";\n};\ntemplate <typename T>\nint RD(T& arg) {\n return std::scanf(ScanfSpecifier<T>::value, &arg);\n}\ntemplate <int S>\nint RD(char (&arg)[S]) {\n return std::scanf(\"%s\", arg);\n}\ntemplate <>\nint RD<char*>(char*& arg) {\n return std::scanf(\"%s\", arg);\n}\ntemplate <>\nint RD<char>(char& arg) {\n return std::scanf(\" %c\", &arg);\n}\ntemplate <typename T, typename... Args>\nint RD(T& arg1, Args&... args) {\n return RD(arg1) + RD(args...);\n}\ntemplate <typename T>\nT RD() {\n T ret;\n RD(ret);\n return ret;\n}\ntemplate <typename It>\nvoid RDV(It begin, It end) {\n while (begin != end) RD(*begin++);\n}\ntemplate <typename C>\nvoid RDV(C& c) {\n RDV(std::begin(c), std::end(c));\n}\ntemplate <typename... Args>\nvoid WT(Args... args) {\n int alc = 0;\n int dummy[] = {((alc++ ? std::printf(\" \") : 0),\n std::printf(ScanfSpecifier<Args>::value, args), 0)...};\n}\ntemplate <typename... Args>\nvoid WTL(Args... args) {\n WT(args...);\n std::printf(\"\\n\");\n}\ntemplate <typename It>\nvoid WTV(It begin, It end) {\n int alc = 0;\n while (begin != end) (alc++ ? std::printf(\" \") : 0), WT(*begin++);\n}\ntemplate <typename C>\nvoid WTV(const C& c) {\n WTV(std::begin(c), std::end(c));\n}\ntemplate <typename It>\nvoid WTVL(It begin, It end) {\n WTV(begin, end);\n std::printf(\"\\n\");\n}\ntemplate <typename C>\nvoid WTVL(const C& c) {\n WTVL(std::begin(c), std::end(c));\n}\nnamespace XX {\ntemplate <template <typename> class Compare, typename T>\ninline T& UP(T& x, const T& y) {\n if (Compare<T>()(y, x)) x = y;\n return x;\n}\ntemplate <typename Compare, typename T>\ninline T& UP(T& x, const T& y, Compare comp) {\n if (comp(y, x)) x = y;\n return x;\n}\ntemplate <typename T>\ninline T& GT(T& x, const T& y) {\n return UP<std::greater>(x, y);\n}\ntemplate <typename T>\ninline T& LS(T& x, const T& y) {\n return UP<std::less>(x, y);\n}\ntemplate <typename T>\nstruct Mapper {\n int operator[](const T& v) {\n int& ret = table[v];\n if (!ret) rtable[ret = table.size()] = v;\n return ret - 1;\n }\n template <typename... Args>\n int operator()(Args... args) {\n return (*this)[T(args...)];\n }\n T rev(int idx) { return rtable[idx + 1]; }\n std::map<T, int> table;\n std::map<int, T> rtable;\n};\ntemplate <typename T, int S>\nstruct ReferenceArray {\n struct It {\n typename std::array<T*, S>::iterator it;\n T& operator*() { return **it; }\n void operator++() { it++; }\n bool operator!=(const It& other) { return it != other.it; }\n };\n int size() const { return _ptr.size(); }\n It begin() const { return {_ptr.begin()}; }\n It end() const { return {_ptr.end()}; }\n T& operator[](int idx) const { return *_ptr[idx]; }\n mutable std::array<T*, S> _ptr;\n};\ntemplate <typename T, typename... Args>\nReferenceArray<T, sizeof...(Args) + 1> MAKEV(T& arg1, Args&... args) {\n return {&arg1, &args...};\n}\nstruct Range {\n struct It {\n int num, step;\n int operator*() { return num; }\n void operator++() { num += step; }\n bool operator!=(const It& other) { return num != other.num; }\n };\n Range(int ee) : b(0), e(ee) {}\n Range(int bb, int ee) : b(bb), e(ee) {}\n It begin() { return {b, (b < e ? 1 : -1)}; }\n It end() { return {e, 0}; }\n int b, e;\n};\n} // namespace XX\nusing XX::Graph;\ntemplate <typename T>\nT& UMAX(T& x, T y) {\n return XX::UP<std::greater>(x, y);\n}\ntemplate <typename T>\nT& UMIN(T& x, T y) {\n return XX::UP<std::less>(x, y);\n}\nusing XX::UP;\nusing RG = XX::Range;\nusing XX::MAKEV;\nusing XX::Mapper;\nusing namespace std;\nint N, Q;\nGraph<> tree;\nvector<int> qs[500000];\nint ans[500000];\nint amt[500000];\nint dfs(int n) {\n amt[n] = 1;\n for (auto& e : tree[n]) amt[n] += dfs(e.to);\n return amt[n];\n}\nset<pair<int, int>> table;\nvoid dfs2(int u) {\n for (auto& q : qs[u]) table.emplace(amt[u], q);\n int sum = 0;\n int mx = 0;\n for (auto& e : tree[u]) {\n sum += amt[e.to];\n UMAX(mx, amt[e.to]);\n }\n auto l = table.lower_bound({mx * 2, 0});\n auto r = table.lower_bound({sum * 2 + 2 + 1, 0});\n for (auto it = l; it != r; it++) ans[it->second] = u + 1;\n table.erase(l, r);\n for (auto& e : tree[u]) dfs2(e.to);\n}\nint main() {\n RD(N, Q);\n tree.resize(N);\n for (int i = 1; i < N; i++) {\n int p;\n RD(p);\n tree.add(p - 1, i);\n }\n for (int i = 0; i < Q; i++) {\n int v;\n RD(v);\n qs[v - 1].push_back(i);\n }\n dfs(0);\n dfs2(0);\n for (int i = 0; i < Q; i++) WTL(ans[i]);\n}\n",
"java": "/*\nIf you want to aim high, aim high\nDon't let that studying and grades consume you\nJust live life young\n******************************\nIf I'm the sun, you're the moon\nBecause when I go up, you go down\n*******************************\n*/\nimport java.util.*;\nimport java.io.*;\n\n public class x686D\n {\n public static void main(String args[]) throws Exception\n {\n BufferedReader infile = new BufferedReader(new InputStreamReader(System.in)); \n StringTokenizer st = new StringTokenizer(infile.readLine());\n int N = Integer.parseInt(st.nextToken());\n int Q = Integer.parseInt(st.nextToken());\n st = new StringTokenizer(infile.readLine());\n LinkedList<Integer>[] edges = new LinkedList[N+1];\n int[] parent = new int[N+1];\n for(int i=1; i <= N; i++)\n edges[i] = new LinkedList<Integer>();\n for(int i=2; i <= N; i++)\n {\n int x = Integer.parseInt(st.nextToken());\n edges[x].add(i);\n edges[i].add(x);\n parent[i] = x;\n }\n //solve\n int root = 1;\n int[] sizes = new int[N+1];\n dfs1(1, edges, new boolean[N+1], sizes);\n int[] dp = new int[N+1];\n dfs2(1, edges, parent, dp, sizes);\n StringBuilder sb = new StringBuilder();\n for(int i=0; i < Q; i++)\n sb.append(dp[Integer.parseInt(infile.readLine())]+\"\\n\");\n System.out.print(sb.toString());\n }\n public static int dfs1(int curr, LinkedList<Integer>[] edges, boolean[] seen, int[] sizes)\n {\n seen[curr] = true;\n sizes[curr] = 1;\n for(int next: edges[curr])\n if(!seen[next])\n sizes[curr] += dfs1(next, edges, seen, sizes);\n return sizes[curr];\n }\n public static void dfs2(int curr, LinkedList<Integer>[] edges, int[] parent, int[] dp, int[] size)\n {\n //LMAO\n for(int next: edges[curr])\n {\n if(next == parent[curr])\n continue;\n if(dp[next] == 0)\n dfs2(next, edges, parent, dp, size);\n }\n //lift up\n for(int next: edges[curr])\n {\n if(next == parent[curr])\n continue;\n if(size[next]*2 > size[curr])\n {\n int prev = dp[next];\n while(size[prev]*2 < size[curr])\n prev = parent[prev];\n dp[curr] = prev;\n break;\n }\n }\n if(dp[curr] == 0)\n dp[curr] = curr;\n }\n }",
"python": "import operator\nimport bisect\n\nn, q = [int(s) for s in input().split()]\n\nps = [int(s) for s in input().split()]\n\nchilds = [[] for _ in range(n)]\n\nfor (c,pa) in enumerate(ps):\n childs[pa-1].append(c+1)\ntoposort = []\nthis_level = [0]\nnext_level = []\nwhile len(this_level) > 0:\n for this_n in this_level:\n toposort.append(this_n)\n for c in childs[this_n]:\n next_level.append(c)\n this_level = next_level\n next_level = []\n\nsz = [0]*n\npotentials = [0]*n\npotential_sz = [0]*n\npotential_lo = [0]*n\ncentr = [0]*n\n\nfor node in reversed(toposort):\n if len(childs[node]) == 0:\n centr[node] = node\n sz[node] = 1\n else:\n s = 1\n lg_c = -1\n lg_c_sz = 0\n for c in childs[node]:\n s += sz[c]\n if sz[c] > lg_c_sz:\n lg_c_sz = sz[c]\n lg_c = c\n sz[node] = s\n if lg_c_sz <= sz[node]//2:\n centr[node] = node\n potentials[node] = [node]\n potential_sz[node] = [sz[node]]\n continue\n\n potentials[node] = potentials[lg_c]\n potential_sz[node] = potential_sz[lg_c]\n\n i = bisect.bisect_right(potential_sz[node], sz[node]//2, lo=potential_lo[lg_c])\n centr[node] = potentials[node][i]\n\n potentials[node].append(node)\n potential_lo[node] = i\n potential_sz[node].append(sz[node])\n\nvs = [int(input()) - 1 for i in range(q)]\nprint('\\n'.join([str(centr[v]+1) for v in vs]))\n\n\n\n\n# Made By Mostafa_Khaled"
}
|
|
|
# Letters Cyclic Shift
You are given a non-empty string s consisting of lowercase English letters. You have to pick exactly one non-empty substring of s and shift all its letters 'z' <image> 'y' <image> 'x' <image> 'b' <image> 'a' <image> 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.
What is the lexicographically minimum string that can be obtained from s by performing this shift exactly once?
Input
The only line of the input contains the string s (1 ≤ |s| ≤ 100 000) consisting of lowercase English letters.
Output
Print the lexicographically minimum string that can be obtained from s by shifting letters of exactly one non-empty substring.
Examples
Input
codeforces
Output
bncdenqbdr
Input
abacaba
Output
aaacaba
Note
String s is lexicographically smaller than some other string t of the same length if there exists some 1 ≤ i ≤ |s|, such that s1 = t1, s2 = t2, ..., si - 1 = ti - 1, and si < ti.
|
[
{
"input": {
"stdin": "codeforces\n"
},
"output": {
"stdout": "bncdenqbdr"
}
},
{
"input": {
"stdin": "abacaba\n"
},
"output": {
"stdout": "aaacaba"
}
},
{
"input": {
"stdin": "cabaccaacccabaacdbdcbcdbccbccbabbdadbdcdcdbdbcdcdbdadcbcda\n"
},
"output": {
"stdout": "babaccaacccabaacdbdcbcdbccbccbabbdadbdcdcdbdbcdcdbdadcbcda"
}
},
{
"input": {
"stdin": "aaaaaaaaaa\n"
},
"output": {
"stdout": "aaaaaaaaaz"
}
},
{
"input": {
"stdin": "babbbabaababbaa\n"
},
"output": {
"stdout": "aabbbabaababbaa"
}
},
{
"input": {
"stdin": "abbabaaaaa\n"
},
"output": {
"stdout": "aaaabaaaaa"
}
},
{
"input": {
"stdin": "a\n"
},
"output": {
"stdout": "z"
}
},
{
"input": {
"stdin": "aabaaaaaaaaaaaa\n"
},
"output": {
"stdout": "aaaaaaaaaaaaaaa"
}
},
{
"input": {
"stdin": "aaa\n"
},
"output": {
"stdout": "aaz"
}
},
{
"input": {
"stdin": "eeeedddccbceaabdaecaebaeaecccbdeeeaadcecdbeacecdcdcceabaadbcbbadcdaeddbcccaaeebccecaeeeaebcaaccbdaccbdcadadaaeacbbdcbaeeaecedeeeedadec\n"
},
"output": {
"stdout": "ddddcccbbabdaabdaecaebaeaecccbdeeeaadcecdbeacecdcdcceabaadbcbbadcdaeddbcccaaeebccecaeeeaebcaaccbdaccbdcadadaaeacbbdcbaeeaecedeeeedadec"
}
},
{
"input": {
"stdin": "aaaaaaaaaaaaaaaaaaaa\n"
},
"output": {
"stdout": "aaaaaaaaaaaaaaaaaaaz"
}
},
{
"input": {
"stdin": "abbbbbbbabbbbbbbbbbbbbbbbbbbbbbbabbabbbbbabbbbbbbbbbbabbbbbbbbabbabbbbbbbbbbbbbbabbabbbaababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbabbbbbbbbbaababbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbabbbabbbbbaabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbaabbbbbbbbbbbbababbabbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbb\n"
},
"output": {
"stdout": "aaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbabbabbbbbabbbbbbbbbbbabbbbbbbbabbabbbbbbbbbbbbbbabbabbbaababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbabbbbbbbbbaababbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbabbbabbbbbaabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbaabbbbbbbbbbbbababbabbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbb"
}
},
{
"input": {
"stdin": "aa\n"
},
"output": {
"stdout": "az"
}
},
{
"input": {
"stdin": "bcbacaabcababaccccaaaabacbbcbbaa\n"
},
"output": {
"stdout": "abaacaabcababaccccaaaabacbbcbbaa"
}
},
{
"input": {
"stdin": "abaabaaaaaabbaaaaaaabaaaaaaaaabaaaabaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaabaaaabbaaaaabaaaaaaaabaaaaaaaa\n"
},
"output": {
"stdout": "aaaabaaaaaabbaaaaaaabaaaaaaaaabaaaabaaaaaaabaaaaaaaaaabaaaaaaaaaaaaaaabaaaabbaaaaabaaaaaaaabaaaaaaaa"
}
},
{
"input": {
"stdin": "aaaaa\n"
},
"output": {
"stdout": "aaaaz"
}
},
{
"input": {
"stdin": "bbbbbbbbbbbb\n"
},
"output": {
"stdout": "aaaaaaaaaaaa"
}
},
{
"input": {
"stdin": "fddfbabadaadaddfbfecadfaefaefefabcccdbbeeabcbbddefbafdcafdfcbdffeeaffcaebbbedabddeaecdddffcbeaafffcddccccfffdbcddcfccefafdbeaacbdeeebdeaaacdfdecadfeafaeaefbfdfffeeaefebdceebcebbfeaccfafdccdcecedeedadcadbfefccfdedfaaefabbaeebdebeecaadbebcfeafbfeeefcfaecadfe\n"
},
"output": {
"stdout": "ecceaabadaadaddfbfecadfaefaefefabcccdbbeeabcbbddefbafdcafdfcbdffeeaffcaebbbedabddeaecdddffcbeaafffcddccccfffdbcddcfccefafdbeaacbdeeebdeaaacdfdecadfeafaeaefbfdfffeeaefebdceebcebbfeaccfafdccdcecedeedadcadbfefccfdedfaaefabbaeebdebeecaadbebcfeafbfeeefcfaecadfe"
}
},
{
"input": {
"stdin": "bbdabacbbcbb\n"
},
"output": {
"stdout": "aacabacbbcbb\n"
}
},
{
"input": {
"stdin": "cabaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcdadccdda\n"
},
"output": {
"stdout": "babaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcdadccdda\n"
}
},
{
"input": {
"stdin": "efdaceafcfeeefbfaefcbebdaaceebedbeeabbafdaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeadefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddfadebbbeacffaeeffdbbfdgacccacceddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
},
"output": {
"stdout": "decaceafcfeeefbfaefcbebdaaceebedbeeabbafdaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeadefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddfadebbbeacffaeeffdbbfdgacccacceddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
}
},
{
"input": {
"stdin": "cabaccaacccabaacbbdcbcdbccbccdabbdadbdbdcdbdbcdcdbdadcccda\n"
},
"output": {
"stdout": "babaccaacccabaacbbdcbcdbccbccdabbdadbdbdcdbdbcdcdbdadcccda\n"
}
},
{
"input": {
"stdin": "bbdabbcbbcbb\n"
},
"output": {
"stdout": "aacabbcbbcbb\n"
}
},
{
"input": {
"stdin": "bbbbbbbabbbbbababbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbabbababbbbbbbbbbbbaababbbbbbbbbbcbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbaabbbbbbbbbabbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbabaabbbbbbbbbabbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbaababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabaabbbabbabbbbbbbbbbbbbbabbabbbbbbbbabbbbbbbbbbbabbbbbabbabbbbbbbbbbbbbbbbbabbbbbabbbbbbba\n"
},
"output": {
"stdout": "aaaaaaaabbbbbababbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbabbababbbbbbbbbbbbaababbbbbbbbbbcbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbaabbbbbbbbbabbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbabaabbbbbbbbbabbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbaababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabaabbbabbabbbbbbbbbbbbbbabbabbbbbbbbabbbbbbbbbbbabbbbbabbabbbbbbbbbbbbbbbbbabbbbbabbbbbbba\n"
}
},
{
"input": {
"stdin": "fddfbabadaadaddfbfecadfaefaefefabcccdbbeeabcbbddeccacccagdfbbdffeeaffcaebbbedafddeafcdddffcbeaafffcddccccfffdbcddcfccefafdbeaacbdeeebdeaaacdfdecadfeafaeaefbfdfffeeaefebdbeebcebbfeaccfafdfcdcecedeedadcadbfefccfdeefaadfabbaeebdebeecaadbebcfeafbfeeefcfaecadfe\n"
},
"output": {
"stdout": "ecceaabadaadaddfbfecadfaefaefefabcccdbbeeabcbbddeccacccagdfbbdffeeaffcaebbbedafddeafcdddffcbeaafffcddccccfffdbcddcfccefafdbeaacbdeeebdeaaacdfdecadfeafaeaefbfdfffeeaefebdbeebcebbfeaccfafdfcdcecedeedadcadbfefccfdeefaadfabbaeebdebeecaadbebcfeafbfeeefcfaecadfe\n"
}
},
{
"input": {
"stdin": "caeaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcbadccdda\n"
},
"output": {
"stdout": "baeaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcbadccdda\n"
}
},
{
"input": {
"stdin": "bbbbbbbbbdbb\n"
},
"output": {
"stdout": "aaaaaaaaacaa\n"
}
},
{
"input": {
"stdin": "efdaceafcfeeefbfaefcbebdaaceebedbeeabbafdaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeaeefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddfadebbbeacffaeeffdbcfdgacccabceddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
},
"output": {
"stdout": "decaceafcfeeefbfaefcbebdaaceebedbeeabbafdaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeaeefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddfadebbbeacffaeeffdbcfdgacccabceddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
}
},
{
"input": {
"stdin": "aabccbbcabaaabbcccabacacbaacacdb\n"
},
"output": {
"stdout": "aaabbaababaaabbcccabacacbaacacdb\n"
}
},
{
"input": {
"stdin": "bbbbbbbbbccb\n"
},
"output": {
"stdout": "aaaaaaaaabba\n"
}
},
{
"input": {
"stdin": "adcccdadbdcdcbdbdcdbdbdadbbadccbccbdcbcdbbcaabacccaaccabac\n"
},
"output": {
"stdout": "acbbbcadbdcdcbdbdcdbdbdadbbadccbccbdcbcdbbcaabacccaaccabac\n"
}
},
{
"input": {
"stdin": "baacaba\n"
},
"output": {
"stdout": "aaacaba\n"
}
},
{
"input": {
"stdin": "adcccdadcdcdcbdbdcdbdbdadbbadccbccbdcbcdbccaabacccaaccabac\n"
},
"output": {
"stdout": "acbbbcadcdcdcbdbdcdbdbdadbbadccbccbdcbcdbccaabacccaaccabac\n"
}
},
{
"input": {
"stdin": "aabbcbbcabaaabccccababacbaacabcb\n"
},
"output": {
"stdout": "aaaabaababaaabccccababacbaacabcb\n"
}
},
{
"input": {
"stdin": "aabcbbbbaacaacbcccababacbaacbddb\n"
},
"output": {
"stdout": "aaabaaaaaacaacbcccababacbaacbddb\n"
}
},
{
"input": {
"stdin": "cabaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcdadcccda\n"
},
"output": {
"stdout": "babaccaacccabaaccbdcbcdbccbccdabbdadbdbdcdbdbddcdcdadcccda\n"
}
},
{
"input": {
"stdin": "efdaceafcfeeefbfaefcbebdaaceebedbeeabbafeaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeaeefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddcadebbbeacffaeeffdbcfdfacccabfeddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
},
"output": {
"stdout": "decaceafcfeeefbfaefcbebdaaceebedbeeabbafeaafeedfccfefbdacdadeedececdcfdfafccaefbbecbeebdbefeaeefffdfbfeaeafaefdacedfdcaaaedbeeedbcaaebdfafeccfcddcbdfffccccddcfffaaebcffdddcfaeddcadebbbeacffaeeffdbcfdfacccabfeddbbcbaeebbdcccbafefeafeafdacefbfddadaadababfddf\n"
}
},
{
"input": {
"stdin": "caadabb\n"
},
"output": {
"stdout": "baadabb\n"
}
},
{
"input": {
"stdin": "caadaba\n"
},
"output": {
"stdout": "baadaba\n"
}
},
{
"input": {
"stdin": "abaabaaaaa\n"
},
"output": {
"stdout": "aaaabaaaaa\n"
}
},
{
"input": {
"stdin": "aabaaaaaabaaaab\n"
},
"output": {
"stdout": "aaaaaaaaabaaaab\n"
}
},
{
"input": {
"stdin": "aabcbbbcaacaabbcccababacbaacbcdb\n"
},
"output": {
"stdout": "aaabaaabaacaabbcccababacbaacbcdb\n"
}
},
{
"input": {
"stdin": "adcccdadcdcddbdbdcdbdbdadbbadccbccbdcbcdbccaabacccaaccabac\n"
},
"output": {
"stdout": "acbbbcadcdcddbdbdcdbdbdadbbadccbccbdcbcdbccaabacccaaccabac\n"
}
},
{
"input": {
"stdin": "aabaababbb\n"
},
"output": {
"stdout": "aaaaababbb\n"
}
},
{
"input": {
"stdin": "qfdrofeocd\n"
},
"output": {
"stdout": "pecqnednbc\n"
}
},
{
"input": {
"stdin": "redrpfedod\n"
},
"output": {
"stdout": "qdcqoedcnc\n"
}
},
{
"input": {
"stdin": "eeeedddccbdeaabdaecaebaeaecccbdeeeaadcecdbeacecdcdcceabaadbcbbadcdaeddbcccaaeebccecaeeeaebcaaccbdaccbdcadadaaeacbbdcbaeeaecedeeeedadec\n"
},
"output": {
"stdout": "ddddcccbbacdaabdaecaebaeaecccbdeeeaadcecdbeacecdcdcceabaadbcbbadcdaeddbcccaaeebccecaeeeaebcaaccbdaccbdcadadaaeacbbdcbaeeaecedeeeedadec\n"
}
},
{
"input": {
"stdin": "aabaaaaaaaaaaab\n"
},
"output": {
"stdout": "aaaaaaaaaaaaaab\n"
}
},
{
"input": {
"stdin": "aabaababba\n"
},
"output": {
"stdout": "aaaaababba\n"
}
},
{
"input": {
"stdin": "bbdabbcbbbbb\n"
},
"output": {
"stdout": "aacabbcbbbbb\n"
}
}
] |
{
"tags": [
"constructive algorithms",
"greedy",
"implementation",
"strings"
],
"title": "Letters Cyclic Shift"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nchar a[100005];\nint flag = 0, k, b = 0;\nint main() {\n cin >> a;\n int n = strlen(a);\n if (n == 1 && a[0] == 'a')\n cout << \"z\";\n else {\n for (int i = 0; i < n; i++) {\n if (a[i] == 'a') {\n k = i;\n b = 1;\n break;\n }\n }\n if (b) {\n if (k > 0) {\n for (int i = 0; i < k; i++) {\n if (a[i] != 'a') {\n a[i] = a[i] - 1;\n flag = 1;\n } else if (a[i] == 'a' && flag)\n break;\n }\n } else if (k == 0)\n for (int i = 1; i < n; i++) {\n if (a[i] != 'a') {\n a[i] = a[i] - 1;\n flag = 1;\n } else if (a[i] == 'a' && flag)\n break;\n else\n continue;\n }\n if (flag == 0) a[n - 1] = 'z';\n } else {\n for (int i = 0; i < n; i++) a[i] = a[i] - 1;\n }\n for (int i = 0; i < n; i++) cout << a[i];\n }\n return 0;\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.io.BufferedWriter;\nimport java.io.Writer;\nimport java.io.OutputStreamWriter;\nimport java.util.InputMismatchException;\nimport java.io.IOException;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author o_panda_o([email protected])\n */\npublic class Code_708A_LettersCyclicShift{\n public static void main(String[] args){\n InputStream inputStream=System.in;\n OutputStream outputStream=System.out;\n InputReader in=new InputReader(inputStream);\n OutputWriter out=new OutputWriter(outputStream);\n _708A_ solver=new _708A_();\n solver.solve(1,in,out);\n out.close();\n }\n\n static class _708A_{\n public void solve(int testNumber,InputReader in,OutputWriter out){\n /**\n * Date: 16th May 2017\n * Question number: 14\n * Start time: 10:56 AM\n * Submission-1: 11:07 AM(11 minutes)--left the base case when the length of string is 1\n * Submission-2: 11:11 AM(15 minutes)--left the base case when all the characters are 'a'\n * Submission-3: 11:14 AM(18 minutes)\n */\n String s=in.next();\n if(isAll_a(s)){\n out.print(s.substring(0,s.length()-1)+\"z\");\n return;\n }\n if(s.length()==1){\n out.print((char)(s.charAt(0)-1));\n return;\n }\n\n int i=0;\n if(s.charAt(i)=='a'){\n while(i<s.length() && s.charAt(i)=='a'){\n out.print(s.charAt(i));\n ++i;\n }\n }\n int j=i;\n while(j<s.length() && s.charAt(j)!='a'){\n out.print((char)(s.charAt(j)-1));\n ++j;\n }\n while(j<s.length()) out.print(s.charAt(j++));\n }\n\n boolean isAll_a(String s){\n for(int i=0;i<s.length();++i)\n if(s.charAt(i)!='a')\n return false;\n return true;\n }\n\n }\n\n static class OutputWriter{\n private final PrintWriter writer;\n\n public OutputWriter(OutputStream outputStream){\n writer=new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));\n }\n\n public OutputWriter(Writer writer){\n this.writer=new PrintWriter(writer);\n }\n\n public void print(Object... objects){\n for(int i=0;i<objects.length;i++){\n if(i!=0){\n writer.print(' ');\n }\n writer.print(objects[i]);\n }\n }\n\n public void print(char i){\n writer.print(i);\n }\n\n public void close(){\n writer.close();\n }\n\n }\n\n static class InputReader{\n private InputStream stream;\n private byte[] buf=new byte[1024];\n private int curChar;\n private int numChars;\n private InputReader.SpaceCharFilter filter;\n\n public InputReader(InputStream stream){\n this.stream=stream;\n }\n\n public int read(){\n if(numChars==-1){\n throw new InputMismatchException();\n }\n if(curChar>=numChars){\n curChar=0;\n try{\n numChars=stream.read(buf);\n }catch(IOException e){\n throw new InputMismatchException();\n }\n if(numChars<=0){\n return -1;\n }\n }\n return buf[curChar++];\n }\n\n public String nextString(){\n int c=read();\n while(isSpaceChar(c)){\n c=read();\n }\n StringBuilder res=new StringBuilder();\n do{\n if(Character.isValidCodePoint(c)){\n res.appendCodePoint(c);\n }\n c=read();\n }while(!isSpaceChar(c));\n return res.toString();\n }\n\n public boolean isSpaceChar(int c){\n if(filter!=null){\n return filter.isSpaceChar(c);\n }\n return isWhitespace(c);\n }\n\n public static boolean isWhitespace(int c){\n return c==' ' || c=='\\n' || c=='\\r' || c=='\\t' || c==-1;\n }\n\n public String next(){\n return nextString();\n }\n\n public interface SpaceCharFilter{\n public boolean isSpaceChar(int ch);\n\n }\n\n }\n}\n\n",
"python": "letters = ['a', 'b', 'c', 'd', 'e', 'f', 'g','h', 'i', 'j', 'k', 'l', 'm', 'n', \\\n'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']\n\ndataIn = str(input())\ndata = []\nfor i in dataIn:\n data.append(i)\n\ncount = 0\nbegin = 0\n\nif len(data) == 1:\n if data[0] == 'a':\n data[0] = 'z'\n else:\n for j in range(len(letters)):\n if letters[j] == data[0]:\n data[0] = letters[j-1]\nelse:\n i = 0\n begin = False\n while i < len(data) - 1:\n if data[i] == 'a':\n i += 1\n else:\n break\n for k in range(i, len(data)):\n if data[k] == 'a' and k != len(data) - 1:\n break\n elif data[k] == 'a' and k == len(data) -1:\n if not begin: data[k] = 'z'\n else:\n begin = True\n for j in range(len(letters)):\n if letters[j] == data[k]:\n data[k] = letters[j-1]\n\nresult = ''.join(data)\n\n\nprint(result)\n"
}
|
|
|
# Fibonacci army
King Cambyses loves Fibonacci numbers. He has several armies. Today he wants to make a new army for himself and he wants the number of men in this army to be the n-th Fibonacci number.
Given n you should find n-th Fibonacci number. The set of Fibonacci numbers start with f0 = f1 = 1 and for each i ≥ 2, fi = fi - 1 + fi - 2.
Input
Input contains a single integer n (1 ≤ n ≤ 20).
Output
Write a single integer. The n-th Fibonacci number.
Examples
Input
2
Output
2
Input
1
Output
1
|
[
{
"input": {
"stdin": "2\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1\n"
},
"output": {
"stdout": "1\n"
}
}
] |
{
"tags": [
"*special",
"dp"
],
"title": "Fibonacci army"
}
|
{
"cpp": null,
"java": null,
"python": null
}
|
|
|
# New Year and Fireworks
One tradition of welcoming the New Year is launching fireworks into the sky. Usually a launched firework flies vertically upward for some period of time, then explodes, splitting into several parts flying in different directions. Sometimes those parts also explode after some period of time, splitting into even more parts, and so on.
Limak, who lives in an infinite grid, has a single firework. The behaviour of the firework is described with a recursion depth n and a duration for each level of recursion t1, t2, ..., tn. Once Limak launches the firework in some cell, the firework starts moving upward. After covering t1 cells (including the starting cell), it explodes and splits into two parts, each moving in the direction changed by 45 degrees (see the pictures below for clarification). So, one part moves in the top-left direction, while the other one moves in the top-right direction. Each part explodes again after covering t2 cells, splitting into two parts moving in directions again changed by 45 degrees. The process continues till the n-th level of recursion, when all 2n - 1 existing parts explode and disappear without creating new parts. After a few levels of recursion, it's possible that some parts will be at the same place and at the same time — it is allowed and such parts do not crash.
Before launching the firework, Limak must make sure that nobody stands in cells which will be visited at least once by the firework. Can you count the number of those cells?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 30) — the total depth of the recursion.
The second line contains n integers t1, t2, ..., tn (1 ≤ ti ≤ 5). On the i-th level each of 2i - 1 parts will cover ti cells before exploding.
Output
Print one integer, denoting the number of cells which will be visited at least once by any part of the firework.
Examples
Input
4
4 2 2 3
Output
39
Input
6
1 1 1 1 1 3
Output
85
Input
1
3
Output
3
Note
For the first sample, the drawings below show the situation after each level of recursion. Limak launched the firework from the bottom-most red cell. It covered t1 = 4 cells (marked red), exploded and divided into two parts (their further movement is marked green). All explosions are marked with an 'X' character. On the last drawing, there are 4 red, 4 green, 8 orange and 23 pink cells. So, the total number of visited cells is 4 + 4 + 8 + 23 = 39.
<image>
For the second sample, the drawings below show the situation after levels 4, 5 and 6. The middle drawing shows directions of all parts that will move in the next level.
<image>
|
[
{
"input": {
"stdin": "6\n1 1 1 1 1 3\n"
},
"output": {
"stdout": "85\n"
}
},
{
"input": {
"stdin": "1\n3\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "4\n4 2 2 3\n"
},
"output": {
"stdout": "39\n"
}
},
{
"input": {
"stdin": "30\n4 1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "60096\n"
}
},
{
"input": {
"stdin": "4\n4 2 4 1\n"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "30\n1 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "61237\n"
}
},
{
"input": {
"stdin": "30\n2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "43348\n"
}
},
{
"input": {
"stdin": "20\n4 5 3 4 5 4 2 4 2 1 5 3 3 1 4 1 2 4 4 3\n"
},
"output": {
"stdout": "10495\n"
}
},
{
"input": {
"stdin": "1\n1\n"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "30\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n"
},
"output": {
"stdout": "10479\n"
}
},
{
"input": {
"stdin": "11\n5 5 5 5 5 5 5 5 5 4 4\n"
},
"output": {
"stdout": "3544\n"
}
},
{
"input": {
"stdin": "5\n5 5 5 5 5\n"
},
"output": {
"stdout": "147\n"
}
},
{
"input": {
"stdin": "30\n1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "43348\n"
}
},
{
"input": {
"stdin": "7\n5 3 3 5 5 4 4\n"
},
"output": {
"stdout": "480\n"
}
},
{
"input": {
"stdin": "30\n5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n"
},
"output": {
"stdout": "2744\n"
}
},
{
"input": {
"stdin": "8\n3 3 3 3 3 3 3 1\n"
},
"output": {
"stdout": "384\n"
}
},
{
"input": {
"stdin": "5\n2 2 5 3 1\n"
},
"output": {
"stdout": "65\n"
}
},
{
"input": {
"stdin": "30\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "43348\n"
}
},
{
"input": {
"stdin": "29\n3 1 3 3 1 2 2 3 5 3 2 2 3 2 5 2 3 1 5 4 3 4 1 3 3 3 4 4 4\n"
},
"output": {
"stdout": "21903\n"
}
},
{
"input": {
"stdin": "30\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n"
},
"output": {
"stdout": "30781\n"
}
},
{
"input": {
"stdin": "10\n1 3 1 4 2 2 2 5 2 3\n"
},
"output": {
"stdout": "1145\n"
}
},
{
"input": {
"stdin": "28\n1 3 4 4 4 3 1 4 5 1 3 5 3 2 5 1 4 4 5 3 4 2 5 4 2 5 3 2\n"
},
"output": {
"stdout": "26461\n"
}
},
{
"input": {
"stdin": "8\n3 3 3 3 5 5 5 5\n"
},
"output": {
"stdout": "905\n"
}
},
{
"input": {
"stdin": "10\n2 3 4 2 1 2 3 4 2 1\n"
},
"output": {
"stdout": "928\n"
}
},
{
"input": {
"stdin": "3\n5 3 3\n"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "30\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n"
},
"output": {
"stdout": "2744\n"
}
},
{
"input": {
"stdin": "1\n4\n"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "30\n5 5 1 1 4 4 3 1 5 3 5 5 1 2 2 3 4 5 2 1 4 3 1 1 4 5 4 4 2 2\n"
},
"output": {
"stdout": "24339\n"
}
},
{
"input": {
"stdin": "15\n4 4 4 3 2 1 5 3 5 3 4 1 2 4 4\n"
},
"output": {
"stdout": "5661\n"
}
},
{
"input": {
"stdin": "2\n5 5\n"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "30\n1 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n"
},
"output": {
"stdout": "23706\n"
}
},
{
"input": {
"stdin": "30\n2 5 4 3 2 3 4 2 4 4 1 2 1 2 4 4 1 3 3 2 1 5 4 2 2 2 1 5 2 4\n"
},
"output": {
"stdout": "21249\n"
}
},
{
"input": {
"stdin": "19\n5 1 2 1 1 2 1 2 1 2 1 2 1 2 5 5 5 5 5\n"
},
"output": {
"stdout": "6535\n"
}
},
{
"input": {
"stdin": "5\n1 2 3 4 5\n"
},
"output": {
"stdout": "122\n"
}
},
{
"input": {
"stdin": "30\n1 4 5 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "59453\n"
}
},
{
"input": {
"stdin": "5\n5 4 3 2 1\n"
},
"output": {
"stdout": "57\n"
}
},
{
"input": {
"stdin": "3\n1 1 1\n"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "30\n2 2 2 2 3 2 2 2 2 2 2 1 2 4 2 2 2 2 2 2 2 4 2 2 2 2 1 2 2 2\n"
},
"output": {
"stdout": "12283"
}
},
{
"input": {
"stdin": "30\n2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 1 2 2 2\n"
},
"output": {
"stdout": "10897"
}
},
{
"input": {
"stdin": "6\n1 1 1 2 1 3\n"
},
"output": {
"stdout": "100"
}
},
{
"input": {
"stdin": "30\n2 2 2 2 3 2 2 2 2 2 2 1 2 4 2 1 2 2 2 2 2 4 2 2 2 2 1 2 2 2\n"
},
"output": {
"stdout": "11819"
}
},
{
"input": {
"stdin": "30\n5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1\n"
},
"output": {
"stdout": "3150"
}
},
{
"input": {
"stdin": "30\n4 1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "60616"
}
},
{
"input": {
"stdin": "5\n5 4 3 3 2\n"
},
"output": {
"stdout": "78"
}
},
{
"input": {
"stdin": "8\n3 4 3 3 3 3 3 1\n"
},
"output": {
"stdout": "399"
}
},
{
"input": {
"stdin": "1\n2\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "19\n5 1 2 1 1 2 2 2 1 2 1 2 1 2 5 5 5 5 1\n"
},
"output": {
"stdout": "5767"
}
},
{
"input": {
"stdin": "30\n2 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "60991"
}
},
{
"input": {
"stdin": "30\n5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5\n"
},
"output": {
"stdout": "59004"
}
},
{
"input": {
"stdin": "7\n5 3 3 5 1 4 4\n"
},
"output": {
"stdout": "396"
}
}
] |
{
"tags": [
"brute force",
"data structures",
"dfs and similar",
"dp",
"implementation"
],
"title": "New Year and Fireworks"
}
|
{
"cpp": "#include <bits/stdc++.h>\nconst int N = 333;\nconst int X = 160;\nbool dp[N][N][X][8];\nbool use[N][N];\nbool mark[X];\nint dx[] = {0, 1, 1, 1, 0, -1, -1, -1};\nint dy[] = {-1, -1, 0, 1, 1, 1, 0, -1};\nint turn[N];\nint main() {\n std::ios::sync_with_stdio(0);\n int n;\n std::cin >> n;\n for (int i = 0; i < n; ++i) std::cin >> turn[i + 1];\n for (int i = 0; i < n; ++i) turn[i + 1] += turn[i], mark[turn[i + 1]] = true;\n std::queue<std::tuple<int, int, int, int>> q;\n dp[X][X][1][0] = true;\n q.emplace(X, X, 1, 0);\n while (q.size()) {\n int x, y, t, d;\n std::tie(x, y, t, d) = q.front();\n q.pop();\n if (t == turn[n]) break;\n if (!mark[t]) {\n int nx = x + dx[d], ny = y + dy[d];\n if (!dp[nx][ny][t + 1][d]) {\n dp[nx][ny][t + 1][d] = true;\n q.emplace(nx, ny, t + 1, d);\n }\n } else {\n for (int z = -1; z < 2; z += 2) {\n int nd = (d + z + 8) % 8;\n int nx = x + dx[nd], ny = y + dy[nd];\n if (!dp[nx][ny][t + 1][nd]) {\n dp[nx][ny][t + 1][nd] = true;\n q.emplace(nx, ny, t + 1, nd);\n }\n }\n }\n }\n int ans = 0;\n for (int i = 0; i < N; ++i) {\n for (int j = 0; j < N; ++j) {\n for (int t = 0; t < X; ++t) {\n for (int d = 0; d < 8; ++d) {\n if (!use[i][j] && dp[i][j][t][d] == true) {\n ans++;\n use[i][j] = true;\n }\n }\n }\n }\n }\n std::cout << ans << std::endl;\n return 0;\n}\n",
"java": "import java.awt.*;\nimport java.awt.event.*;\nimport java.io.*;\nimport java.math.*;\nimport java.text.*;\nimport java.util.*;\n\npublic class Main {\t\n\t\n\tpublic static void main(String[] args) throws NumberFormatException, IOException \n\t{\n\t\tInputStream inputStream = System.in;\n\t\tOutputStream outputStream = System.out;\n\t\tInputReader in = new InputReader(inputStream);\n\t\tPrintWriter out = new PrintWriter(outputStream);\n\t\tTask solver = new Task();\n\t\tsolver.solve(1, in, out);\n\t\tout.close();\n\t}\n\t\n\tstatic class Task {\n\t\t\n\t\t//[8][2]\n\t\tint[][] dir = new int[][]{{1, 0}, {1, -1}, {0, -1}, {-1, -1}, {-1, 0}, {-1, 1}, {0, 1}, {1, 1}};\t\t\n\t\t\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n \tint n = in.nextInt();\n \tint s[] = new int[n];\n \tint max = 0;\n \tfor( int i = 0; i < n; i++){\n \t\ts[i] = in.nextInt();\n \t\tmax += s[i];\n \t}\n \t\n \tint sz = 2 * max + 1;\n \tboolean mat[][] = new boolean[sz][sz];\n \tint start[][] = new int[sz][sz];\n \tint next_start[][] = new int[sz][sz];\n \t\n \tstart[max][max] = 1 << 4; \t\n \tmat[max][max] = true;\n \t\n \tfor( int step_size : s){\n \t\tfor( int x = 0; x < sz; x++)\n \t\t\tfor(int y = 0; y < sz; y++){\n \t\t\t\tif(start[x][y] != 0){\n \t\t\t\t\tfor( int i = 0; i < 8; i++ ){\n \t\t\t\t\t\tif((start[x][y] & (1 << i)) > 0){\n \t\t\t\t\t\t\tint xx = x, yy = y;\n \t\t\t\t\t\t\tfor( int step = 0; step < step_size; step++){\n \t\t\t\t\t\t\t\txx = x + step * dir[i][0];\n \t\t\t\t\t\t\tyy = y + step * dir[i][1];\n \t\t\t\t\t\t\tmat[xx][yy] = true;\n \t\t\t\t\t\t\t}\n \t\t\t\t\t\t\tint next = (i + 1 == 8 ? 0 : i + 1);\n \t\t\t\t\t\t\tint pre = (i == 0 ? 7 : i - 1);\n \t\t\t\t\t\t\tnext_start[xx + dir[next][0]][yy + dir[next][1]] |= 1 << next;\n \t\t\t\t\t\t\tnext_start[xx + dir[pre][0]][yy + dir[pre][1]] |= 1 << pre;\n \t\t\t\t\t\t}\n \t\t\t\t\t}\n \t\t\t\t}\n \t\t\t}\n \t\tint[][] tmp = start;\n \t\tstart = next_start;\n \t\tnext_start = tmp; \t\t\n \t\tfor( int i = 0; i < sz; i++ )Arrays.fill(next_start[i], 0);\n \t}\n \t\n \tint res = 0;\n \tfor(int i = 0; i < sz; i++ )\n \t\tfor(int j = 0; j < sz; j++)\n \t\t\tif(mat[i][j])\n \t\t\t\tres++;\n \tout.println(res);\n } \n\t}\n\t\n\tstatic class InputReader {\n\t\t\n\t\tBufferedReader in;\n\t\tStringTokenizer tok;\n\t\t\n\t\tpublic InputReader(InputStream stream){\n\t\t\tin = new BufferedReader(new InputStreamReader(stream), 32768);\n\t\t\ttok = null;\n\t\t}\n\t\t\n\t\tString nextToken() \n\t\t{\n\t\t\tString line = \"\";\n\t\t\twhile(tok == null || !tok.hasMoreTokens()) {\n\t\t\t\ttry {\n\t\t\t\t\tif((line = in.readLine()) != null)\n\t\t\t\t\t\ttok = new StringTokenizer(line);\n\t\t\t\t\telse \n\t\t\t\t\t\treturn null;\n\t\t\t\t} catch (IOException e) { \n\t\t\t\t\t//e.printStackTrace();\n\t\t\t\t\treturn null;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn tok.nextToken();\n\t\t}\n\t\tint nextInt(){\n\t\t\treturn Integer.parseInt(nextToken());\n\t\t}\n\t\tlong nextLong()\t{\n\t\t\treturn Long.parseLong(nextToken());\n\t\t}\n\t\tdouble nextDouble()\t{\n\t\t\treturn Double.parseDouble(nextToken());\n\t\t}\t\n\t\t\n\t}\t\n\t\n}\n ",
"python": "k = int(input()) & 1\n\np = []\ns = range(1, 6)\n\nfor q in map(int, input().split()[::-1]):\n\n if k:\n p += [(x, -y) for x, y in p]\n p = [(x - q, y) for x, y in p]\n p += [(-x, 0) for x in s[:q]]\n else:\n p += [(y, -x) for x, y in p]\n p = [(x - q, y + q) for x, y in p]\n p += [(-x, x) for x in s[:q]]\n\n p = list(set(p))\n k = 1 - k\n\nprint(len(p))"
}
|
|
|
# Significant Cups
Stepan is a very experienced olympiad participant. He has n cups for Physics olympiads and m cups for Informatics olympiads. Each cup is characterized by two parameters — its significance ci and width wi.
Stepan decided to expose some of his cups on a shelf with width d in such a way, that:
* there is at least one Physics cup and at least one Informatics cup on the shelf,
* the total width of the exposed cups does not exceed d,
* from each subjects (Physics and Informatics) some of the most significant cups are exposed (i. e. if a cup for some subject with significance x is exposed, then all the cups for this subject with significance greater than x must be exposed too).
Your task is to determine the maximum possible total significance, which Stepan can get when he exposes cups on the shelf with width d, considering all the rules described above. The total significance is the sum of significances of all the exposed cups.
Input
The first line contains three integers n, m and d (1 ≤ n, m ≤ 100 000, 1 ≤ d ≤ 109) — the number of cups for Physics olympiads, the number of cups for Informatics olympiads and the width of the shelf.
Each of the following n lines contains two integers ci and wi (1 ≤ ci, wi ≤ 109) — significance and width of the i-th cup for Physics olympiads.
Each of the following m lines contains two integers cj and wj (1 ≤ cj, wj ≤ 109) — significance and width of the j-th cup for Informatics olympiads.
Output
Print the maximum possible total significance, which Stepan can get exposing cups on the shelf with width d, considering all the rules described in the statement.
If there is no way to expose cups on the shelf, then print 0.
Examples
Input
3 1 8
4 2
5 5
4 2
3 2
Output
8
Input
4 3 12
3 4
2 4
3 5
3 4
3 5
5 2
3 4
Output
11
Input
2 2 2
5 3
6 3
4 2
8 1
Output
0
Note
In the first example Stepan has only one Informatics cup which must be exposed on the shelf. Its significance equals 3 and width equals 2, so after Stepan exposes it, the width of free space on the shelf becomes equal to 6. Also, Stepan must expose the second Physics cup (which has width 5), because it is the most significant cup for Physics (its significance equals 5). After that Stepan can not expose more cups on the shelf, because there is no enough free space. Thus, the maximum total significance of exposed cups equals to 8.
|
[
{
"input": {
"stdin": "3 1 8\n4 2\n5 5\n4 2\n3 2\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "2 2 2\n5 3\n6 3\n4 2\n8 1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "4 3 12\n3 4\n2 4\n3 5\n3 4\n3 5\n5 2\n3 4\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "1 1 1000000000\n4 500000000\n6 500000000\n"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "1 1 1\n1 1\n1 1\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "1 1 1000000000\n1 1000000000\n1 1000000000\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10 10 229\n15 17\n5 4\n4 15\n4 17\n15 11\n7 6\n5 19\n14 8\n4 1\n10 12\n20 13\n20 14\n16 13\n7 15\n2 16\n11 11\n19 20\n6 7\n4 11\n14 16\n"
},
"output": {
"stdout": "198\n"
}
},
{
"input": {
"stdin": "4 2 8\n1000000000 2\n1000000000 2\n1000000000 2\n1000000000 2\n1000000000 2\n1000000000 2\n"
},
"output": {
"stdout": "4000000000\n"
}
},
{
"input": {
"stdin": "20 10 761\n42 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n12 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n41 44\n34 47\n33 35\n32 47\n49 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "900\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 1\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 5\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n28 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n29 33\n18 25\n11 8\n"
},
"output": {
"stdout": "644\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n47 0\n35 1\n36 36\n15 2\n47 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n51 47\n24 42\n32 47\n119 6\n27 18\n43 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "947\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 41\n47 7\n35 1\n36 40\n15 2\n47 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n34 47\n24 42\n32 47\n119 6\n27 18\n43 45\n30 6\n39 22\n38 45\n"
},
"output": {
"stdout": "929\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 31\n40 10\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n24 38\n9 24\n29 35\n20 9\n45 29\n18 33\n27 25\n17 8\n"
},
"output": {
"stdout": "637\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n47 0\n35 1\n36 36\n15 2\n3 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n14 65\n5 3\n19 39\n12 15\n20 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 18\n52 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "825\n"
}
},
{
"input": {
"stdin": "20 10 761\n42 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n12 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n56 44\n34 47\n33 35\n32 47\n49 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "915\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n19 19\n44 41\n46 2\n49 23\n9 8\n7 42\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n74 44\n34 47\n20 35\n32 47\n119 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "1021\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n19 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n74 44\n34 47\n20 35\n32 47\n119 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "1021\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n65 0\n35 1\n36 36\n15 2\n1 28\n44 47\n1 12\n11 13\n17 41\n46 2\n49 23\n8 4\n14 65\n5 3\n19 39\n4 15\n29 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 36\n52 20\n30 5\n41 22\n38 45\n"
},
"output": {
"stdout": "839\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 10\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n29 33\n27 25\n17 8\n"
},
"output": {
"stdout": "649\n"
}
},
{
"input": {
"stdin": "20 10 761\n42 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n12 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n56 44\n34 47\n33 35\n32 47\n49 6\n27 18\n43 36\n23 4\n39 22\n38 45\n"
},
"output": {
"stdout": "915\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 41\n47 7\n35 1\n36 40\n15 2\n47 28\n44 47\n1 45\n11 13\n60 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n34 47\n20 42\n32 47\n119 6\n27 18\n43 45\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "956\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n47 0\n35 1\n36 36\n15 2\n1 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n14 65\n5 3\n19 39\n12 15\n29 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 36\n52 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "832\n"
}
},
{
"input": {
"stdin": "2 2 1\n5 3\n6 3\n4 2\n8 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 1 8\n0 2\n5 5\n4 2\n3 2\n"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "10 10 229\n15 17\n5 4\n4 15\n4 17\n15 11\n7 6\n5 38\n14 8\n4 1\n10 12\n20 13\n20 14\n16 8\n7 15\n2 16\n11 11\n19 20\n6 7\n4 11\n14 16\n"
},
"output": {
"stdout": "196\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n11 19\n44 41\n46 2\n49 23\n9 8\n7 42\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n74 44\n34 47\n20 35\n32 47\n119 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "1013\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n47 0\n35 1\n36 36\n15 2\n47 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 18\n52 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "859\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n44 47\n3 45\n11 19\n44 41\n46 2\n49 23\n9 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 12\n74 44\n34 47\n20 42\n32 47\n119 6\n27 18\n43 45\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "976\n"
}
},
{
"input": {
"stdin": "1 1 1000000000\n4 500000000\n2 500000000\n"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n5 33\n4 13\n25 20\n40 5\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n29 33\n18 25\n11 8\n"
},
"output": {
"stdout": "629\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 41\n47 7\n35 6\n36 40\n15 2\n47 28\n44 47\n1 45\n11 13\n60 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 12\n74 44\n34 47\n20 42\n32 47\n119 6\n27 18\n43 45\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "956\n"
}
},
{
"input": {
"stdin": "1 1 1000000000\n0 500000000\n2 500000000\n"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n11 19\n44 41\n46 2\n49 23\n9 5\n7 65\n5 3\n16 42\n12 20\n17 22\n25 9\n7 12\n74 44\n34 47\n20 35\n32 47\n119 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "975\n"
}
},
{
"input": {
"stdin": "2 2 2\n0 3\n0 3\n4 2\n8 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "4 3 12\n3 4\n0 4\n3 5\n3 4\n3 5\n5 2\n1 4\n"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 10\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n36 38\n9 24\n29 35\n20 9\n45 29\n29 33\n27 25\n17 8\n"
},
"output": {
"stdout": "669\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 5\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n29 33\n18 25\n11 8\n"
},
"output": {
"stdout": "634\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n8 0\n35 1\n36 36\n15 2\n1 28\n44 47\n1 12\n11 13\n17 41\n46 2\n49 23\n8 4\n14 65\n5 3\n19 39\n4 15\n29 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 36\n52 20\n30 5\n41 17\n38 45\n"
},
"output": {
"stdout": "782\n"
}
},
{
"input": {
"stdin": "1 1 1000000000\n0 500000000\n3 500000000\n"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 41\n47 7\n35 1\n36 40\n15 2\n47 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n34 47\n24 42\n32 47\n119 6\n27 18\n43 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "929\n"
}
},
{
"input": {
"stdin": "20 10 761\n42 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n12 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n41 44\n34 47\n33 35\n32 75\n49 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "888\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n8 0\n35 1\n36 36\n15 2\n1 28\n44 47\n1 12\n11 13\n17 41\n46 2\n49 23\n8 4\n14 65\n5 3\n19 39\n4 15\n29 22\n25 9\n7 20\n74 44\n51 1\n24 42\n32 47\n22 6\n27 36\n52 20\n30 5\n41 22\n38 45\n"
},
"output": {
"stdout": "782\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n44 47\n3 45\n11 19\n44 41\n46 2\n49 23\n9 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 12\n74 44\n34 47\n20 42\n32 47\n119 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "976\n"
}
},
{
"input": {
"stdin": "20 10 761\n17 22\n47 0\n35 1\n36 36\n15 2\n47 28\n44 47\n1 45\n11 13\n22 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 20\n74 44\n51 47\n24 42\n32 47\n119 6\n27 18\n52 20\n30 5\n39 22\n38 45\n"
},
"output": {
"stdout": "956\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n22 40\n15 2\n47 28\n46 47\n3 45\n12 19\n44 41\n46 2\n49 23\n9 8\n7 41\n5 3\n16 42\n12 50\n17 22\n25 9\n45 12\n56 44\n34 47\n33 35\n32 47\n97 6\n27 18\n43 36\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "987\n"
}
},
{
"input": {
"stdin": "2 2 2\n0 3\n6 3\n4 2\n8 2\n"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 1\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 5\n27 5\n17 6\n8 3\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n28 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n29 33\n18 25\n11 8\n"
},
"output": {
"stdout": "644\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 5\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n28 36\n20 18\n36 38\n9 24\n21 35\n20 9\n33 29\n37 33\n18 25\n11 8\n"
},
"output": {
"stdout": "652\n"
}
},
{
"input": {
"stdin": "20 10 761\n66 41\n47 7\n35 6\n36 40\n15 2\n47 28\n44 47\n1 45\n11 13\n60 41\n46 2\n49 23\n8 4\n7 65\n5 3\n16 42\n12 20\n20 22\n25 9\n7 12\n74 44\n34 47\n20 42\n32 47\n119 6\n27 18\n43 45\n23 6\n39 22\n38 45\n"
},
"output": {
"stdout": "1005\n"
}
},
{
"input": {
"stdin": "10 20 498\n40 12\n23 25\n20 9\n8 0\n23 8\n31 24\n33 2\n22 33\n4 13\n25 20\n40 10\n27 5\n17 6\n8 5\n4 19\n33 23\n30 19\n27 12\n13 22\n16 32\n18 36\n20 18\n36 38\n9 24\n21 35\n20 9\n45 29\n29 33\n27 25\n17 8\n"
},
"output": {
"stdout": "661\n"
}
}
] |
{
"tags": [
"*special",
"binary search",
"data structures",
"two pointers"
],
"title": "Significant Cups"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long n, m, d;\nconst int N = 100100;\nstruct node {\n long long c, w;\n bool operator<(const node t) const {\n if (c == t.c) return w < t.w;\n return c > t.c;\n }\n} a[N], b[N];\nint main() {\n scanf(\"%lld%lld%lld\", &n, &m, &d);\n for (int i = 1; i <= n; i++) scanf(\"%lld%lld\", &a[i].c, &a[i].w);\n sort(a + 1, a + n + 1);\n for (int i = 1; i <= m; i++) scanf(\"%lld%lld\", &b[i].c, &b[i].w);\n sort(b + 1, b + m + 1);\n for (int i = 1; i <= n; i++) a[i].c += a[i - 1].c, a[i].w += a[i - 1].w;\n for (int i = 1; i <= m; i++) b[i].c += b[i - 1].c, b[i].w += b[i - 1].w;\n long long s = 0;\n for (int i = 1; i <= n; i++) {\n long long t = d - a[i].w;\n int l = 0, r = m;\n while (l < r) {\n int mid = (l + r + 1) >> 1;\n if (b[mid].w <= t)\n l = mid;\n else\n r = mid - 1;\n }\n if (b[l].w > t || l == 0) continue;\n s = max(s, a[i].c + b[l].c);\n }\n cout << s;\n}\n",
"java": "import javafx.util.Pair;\n\nimport java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.io.OutputStream;\nimport java.io.IOException;\nimport java.util.*;\nimport java.io.InputStreamReader;\nimport java.io.Writer;\nimport java.io.BufferedReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author Niyaz Nigmatullin\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n FastScanner in = new FastScanner(inputStream);\n FastPrinter out = new FastPrinter(outputStream);\n\n Integer n = in.nextInt(), m = in.nextInt(), d = in.nextInt();\n\n ArrayList<Pair<Long, Long> > a = new ArrayList<>(), b = new ArrayList<>();\n\n for (int i = 0; i < n; i++) {\n Pair<Long, Long> c = new Pair<Long, Long>((long) in.nextInt(), (long) in.nextInt());\n\n a.add(c);\n }\n\n for (int i = 0; i < m; i++) {\n Pair<Long, Long> c = new Pair<Long, Long>((long) in.nextInt(), (long) in.nextInt());\n\n b.add(c);\n }\n\n Collections.sort(a, new Comparator<Pair<Long, Long>>() {\n @Override\n public int compare(final Pair<Long, Long> o1, final Pair<Long, Long> o2) {\n if (o1.getKey() < o2.getKey()) {\n return 1;\n } else if (o1.getKey().equals(o2.getKey())) {\n if (o1.getValue() < o2.getValue()) {\n return -1;\n } else if (o1.getValue().equals(o2.getValue())) {\n return 0;\n } else {\n return 1;\n }\n } else {\n return -1;\n }\n }});\n\n Collections.sort(b, new Comparator<Pair<Long, Long>>() {\n @Override\n public int compare(final Pair<Long, Long> o1, final Pair<Long, Long> o2) {\n if (o1.getKey() < o2.getKey()) {\n return 1;\n } else if (o1.getKey().equals(o2.getKey())) {\n if (o1.getValue() < o2.getValue()) {\n return -1;\n } else if (o1.getValue().equals(o2.getValue())) {\n return 0;\n } else {\n return 1;\n }\n } else {\n return -1;\n }\n }});\n\n for (int i = 1; i < n; i++) {\n a.set(i, new Pair<Long, Long> (a.get(i - 1).getKey() + a.get(i).getKey(), a.get(i - 1).getValue() + a.get(i).getValue()));\n }\n\n for (int i = 1; i < m; i++) {\n b.set(i, new Pair<Long, Long> (b.get(i - 1).getKey() + b.get(i).getKey(), b.get(i - 1).getValue() + b.get(i).getValue()));\n }\n\n// for (int i = 0; i < n; i++) {\n// out.println(String.valueOf(a.get(i).getKey()) + \" \" + String.valueOf(a.get(i).getValue()));\n// }\n\n long ans = 0;\n\n for (int i = 0; i < n; i++) {\n\n int l = -1, r = m;\n\n while (r - l > 1) {\n int mid = (l + r) / 2;\n\n if (b.get(mid).getValue() + a.get(i).getValue() <= (long) d) {\n l = mid;\n } else {\n r = mid;\n }\n }\n\n if (l == -1) continue;\n\n if (ans < a.get(i).getKey() + b.get(l).getKey()) {\n// out.println(String.valueOf(i) + \" \" + String.valueOf(l));\n ans = a.get(i).getKey() + b.get(l).getKey();\n }\n }\n\n out.println(ans);\n out.close();\n }\n\n static class FastPrinter extends PrintWriter {\n public FastPrinter(OutputStream out) {\n super(out);\n }\n\n public FastPrinter(Writer out) {\n super(out);\n }\n\n }\n\n static class FastScanner extends BufferedReader {\n public FastScanner(InputStream is) {\n super(new InputStreamReader(is));\n }\n\n\n public int read() {\n try {\n int ret = super.read();\n// if (isEOF && ret < 0) {\n// throw new InputMismatchException();\n// }\n// isEOF = ret == -1;\n return ret;\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n }\n\n static boolean isWhiteSpace(int c) {\n return c >= 0 && c <= 32;\n }\n\n public int nextInt() {\n int c = read();\n while (isWhiteSpace(c)) {\n c = read();\n }\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n int ret = 0;\n while (c >= 0 && !isWhiteSpace(c)) {\n if (c < '0' || c > '9') {\n throw new NumberFormatException(\"digit expected \" + (char) c\n + \" found\");\n }\n ret = ret * 10 + c - '0';\n c = read();\n }\n return ret * sgn;\n }\n\n public String readLine() {\n try {\n return super.readLine();\n } catch (IOException e) {\n return null;\n }\n }\n\n }\n}",
"python": "n, m, d = list(map(int, input().split()))\n\na = []\nb = []\n\nfor i in range(n):\n a.append(list(map(int, input().split())))\n\nfor i in range(m):\n b.append(list(map(int, input().split())))\n\na = sorted(a, key=lambda x: x[0] + (1- x[1] * 1e-10))\nb = sorted(b, key=lambda x: x[0] + (1- x[1] * 1e-10))\n\ntc, td = 0, 0\n\ntc += a[-1][0]\ntc += b[-1][0]\ntd += a[-1][1]\ntd += b[-1][1]\n\nai = n - 1\nbi = m - 1\n\nif td > d:\n print(0)\n exit()\n\nwhile ai > 0:\n t = ai - 1\n if td + a[t][1] <= d:\n td += a[t][1]\n tc += a[t][0]\n ai -= 1\n continue\n else:\n break\n \ncmax = tc\n\nwhile bi > 0:\n bi -= 1\n tc += b[bi][0]\n td += b[bi][1]\n \n while td > d and ai < n:\n tc -= a[ai][0]\n td -= a[ai][1]\n ai += 1\n \n if ai == n:\n break\n \n if td <= d:\n cmax = max(cmax, tc)\n \nprint(cmax)"
}
|
|
|
# T-shirt buying
A new pack of n t-shirts came to a shop. Each of the t-shirts is characterized by three integers pi, ai and bi, where pi is the price of the i-th t-shirt, ai is front color of the i-th t-shirt and bi is back color of the i-th t-shirt. All values pi are distinct, and values ai and bi are integers from 1 to 3.
m buyers will come to the shop. Each of them wants to buy exactly one t-shirt. For the j-th buyer we know his favorite color cj.
A buyer agrees to buy a t-shirt, if at least one side (front or back) is painted in his favorite color. Among all t-shirts that have colors acceptable to this buyer he will choose the cheapest one. If there are no such t-shirts, the buyer won't buy anything. Assume that the buyers come one by one, and each buyer is served only after the previous one is served.
You are to compute the prices each buyer will pay for t-shirts.
Input
The first line contains single integer n (1 ≤ n ≤ 200 000) — the number of t-shirts.
The following line contains sequence of integers p1, p2, ..., pn (1 ≤ pi ≤ 1 000 000 000), where pi equals to the price of the i-th t-shirt.
The following line contains sequence of integers a1, a2, ..., an (1 ≤ ai ≤ 3), where ai equals to the front color of the i-th t-shirt.
The following line contains sequence of integers b1, b2, ..., bn (1 ≤ bi ≤ 3), where bi equals to the back color of the i-th t-shirt.
The next line contains single integer m (1 ≤ m ≤ 200 000) — the number of buyers.
The following line contains sequence c1, c2, ..., cm (1 ≤ cj ≤ 3), where cj equals to the favorite color of the j-th buyer. The buyers will come to the shop in the order they are given in the input. Each buyer is served only after the previous one is served.
Output
Print to the first line m integers — the j-th integer should be equal to the price of the t-shirt which the j-th buyer will buy. If the j-th buyer won't buy anything, print -1.
Examples
Input
5
300 200 400 500 911
1 2 1 2 3
2 1 3 2 1
6
2 3 1 2 1 1
Output
200 400 300 500 911 -1
Input
2
1000000000 1
1 1
1 2
2
2 1
Output
1 1000000000
|
[
{
"input": {
"stdin": "5\n300 200 400 500 911\n1 2 1 2 3\n2 1 3 2 1\n6\n2 3 1 2 1 1\n"
},
"output": {
"stdout": "200 400 300 500 911 -1 \n"
}
},
{
"input": {
"stdin": "2\n1000000000 1\n1 1\n1 2\n2\n2 1\n"
},
"output": {
"stdout": "1 1000000000 \n"
}
},
{
"input": {
"stdin": "10\n251034796 163562337 995167403 531046374 341924810 828969071 971837553 183763940 857690534 687685084\n3 2 1 3 2 3 1 3 2 1\n2 3 3 1 2 3 2 3 3 2\n10\n1 3 2 3 2 3 3 1 2 3\n"
},
"output": {
"stdout": "531046374 163562337 251034796 183763940 341924810 828969071 857690534 687685084 971837553 995167403 \n"
}
},
{
"input": {
"stdin": "1\n529469903\n1\n3\n1\n3\n"
},
"output": {
"stdout": "529469903 \n"
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 368277336 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 3 2 1 3 1 2\n3 1 2 2 2 2 3 1 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 368277336 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 \n"
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 368277336 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 2 1 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 240727854 368277336 276840253 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 23763176 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 1 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "23763176 213813062 106106409 276840253 240727854 440654676 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 959075599 -1 670032002 726095027 786936631 -1 940941705 -1 -1 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 20329584 107191858 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 360017086 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 107191858 276840253 360017086 440654676 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
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},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 495316522 414468312 440421387 531635095 584924603 586382273 666547477 692068873 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 368277336 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 3 2 1 3 1 2\n3 1 2 2 1 2 3 1 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 368277336 414468312 440421387 531635095 584924603 495316522 670032002 586382273 666547477 838268432 -1 726095027 786936631 940941705 -1 959075599 -1 -1 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "2\n1000000000 1\n2 1\n1 3\n2\n2 1\n"
},
"output": {
"stdout": "1000000000 1 "
}
},
{
"input": {
"stdin": "20\n414468312 23763176 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 384973684 959075599 240727854 495316522 838268432 786936631 586382273 747911329\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 3 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 1 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "23763176 213813062 106106409 276840253 240727854 440654676 384973684 495316522 414468312 531635095 586382273 584924603 666547477 838268432 959075599 -1 670032002 726095027 786936631 -1 940941705 -1 -1 -1 747911329 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 368277336 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 3 2 1 3 1 2\n3 1 2 2 2 2 3 1 3 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 495316522 368277336 440421387 414468312 531635095 586382273 584924603 666547477 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 23763176 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 1 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 1 2 3 2 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 2 3 1 3 1 3 1 2 2 3 3 1 3 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "23763176 213813062 106106409 276840253 240727854 440654676 414468312 440421387 531635095 584924603 495316522 670032002 586382273 666547477 726095027 838268432 806443734 940941705 786936631 -1 959075599 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 23763176 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 1 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 1 2 3 2 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 3 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "23763176 213813062 106106409 276840253 240727854 440654676 414468312 440421387 531635095 584924603 495316522 670032002 586382273 666547477 726095027 838268432 806443734 786936631 940941705 -1 959075599 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "1\n529469903\n1\n1\n1\n3\n"
},
"output": {
"stdout": "-1 "
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 692068873 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 332988424 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 3 2 1 3 1 2\n3 1 2 2 2 2 3 1 3 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 495316522 332988424 440421387 414468312 531635095 586382273 584924603 666547477 838268432 -1 -1 670032002 692068873 726095027 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "5\n300 200 400 500 911\n1 2 1 2 3\n2 2 3 2 1\n6\n2 3 1 2 1 1\n"
},
"output": {
"stdout": "200 400 300 500 911 -1 "
}
},
{
"input": {
"stdin": "5\n300 200 359 500 1650\n1 2 1 2 3\n2 2 3 2 1\n6\n2 3 1 2 1 1\n"
},
"output": {
"stdout": "200 359 300 500 1650 -1 "
}
},
{
"input": {
"stdin": "10\n251034796 163562337 990140914 531046374 341924810 828969071 971837553 235656340 857690534 687685084\n3 2 1 3 2 3 1 3 2 1\n2 3 3 1 2 1 2 3 3 2\n10\n1 3 2 3 2 3 3 1 2 3\n"
},
"output": {
"stdout": "531046374 163562337 251034796 235656340 341924810 828969071 857690534 687685084 971837553 990140914 "
}
},
{
"input": {
"stdin": "20\n414468312 20329584 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "20329584 213813062 106106409 276840253 240727854 440654676 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
},
{
"input": {
"stdin": "20\n414468312 23763176 106106409 584924603 666547477 670032002 726095027 276840253 440654676 940941705 531635095 213813062 440421387 959075599 240727854 495316522 838268432 786936631 586382273 806443734\n3 1 2 3 3 2 2 1 3 2 3 2 3 3 2 2 1 3 1 2\n3 1 2 2 2 2 3 2 2 3 2 1 1 2 3 1 2 3 3 2\n40\n1 1 2 1 3 2 3 1 3 3 1 2 3 1 1 1 2 3 3 1 3 1 3 1 2 2 3 3 1 2 1 2 3 2 2 1 2 1 2 2\n"
},
"output": {
"stdout": "23763176 213813062 106106409 276840253 240727854 440654676 414468312 440421387 531635095 584924603 495316522 666547477 586382273 838268432 -1 -1 670032002 726095027 786936631 -1 940941705 -1 959075599 -1 806443734 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 "
}
}
] |
{
"tags": [
"data structures",
"implementation"
],
"title": "T-shirt buying"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstruct SYM {\n int p, id;\n bool operator<(const SYM &a) const { return a.p < p; }\n} clo[200010];\nint vis[200010], c, n, m;\npriority_queue<SYM> q[4];\nint main() {\n scanf(\"%d\", &n);\n for (int i = 1; i <= n; i++) {\n scanf(\"%d\", &clo[i].p);\n clo[i].id = i;\n }\n for (int i = 1; i <= 2 * n; i++) {\n scanf(\"%d\", &c);\n if (i > n)\n q[c].push(clo[i - n]);\n else\n q[c].push(clo[i]);\n }\n scanf(\"%d\", &m);\n for (int i = 1; i <= m; i++) {\n int hh = 1;\n scanf(\"%d\", &c);\n if (q[c].empty()) {\n printf(\"-1 \");\n continue;\n }\n while (vis[q[c].top().id]) {\n q[c].pop();\n if (q[c].empty()) {\n printf(\"-1 \");\n hh = 0;\n break;\n }\n }\n if (hh) printf(\"%d \", q[c].top().p), vis[q[c].top().id] = 1, q[c].pop();\n }\n}\n",
"java": "\nimport java.util.*;\nimport java.io.*;\n\n/**\n *\n * @author usquare\n *\n */\n\npublic class ProblemB {\n \n public static int mod = 1000000007;\n \n public static void solve(){\n \n InputReader in = new InputReader(System.in);\n PrintWriter out = new PrintWriter(System.out);\n \n int n=in.nextInt();\n TreeSet<Integer>[] set=new TreeSet[3];\n int[] a=in.nextIntArray(n);\n \n for(int i=0;i<3;i++) set[i]=new TreeSet<>();\n for(int i=0;i<n;i++){\n int aa=in.nextInt()-1;\n set[aa].add(a[i]);\n }\n\n for(int i=0;i<n;i++){\n int aa=in.nextInt()-1;\n set[aa].add(a[i]);\n } \n int m=in.nextInt();\n\n for(int i=0;i<m;i++){\n int x=in.nextInt()-1;\n int ans=-1;\n if(!set[x].isEmpty()){\n ans=set[x].first();\n }\n set[0].remove(ans);\n set[1].remove(ans);\n set[2].remove(ans);\n // debug(x,set);\n out.print(ans+\" \");\n }\n \n out.close();\n\n }\n \n public static void main(String[] args) {\n \n new Thread(null ,new Runnable(){\n public void run(){\n try{\n solve();\n } catch(Exception e){\n e.printStackTrace();\n }\n }\n },\"1\",1<<26).start();\n }\n \n public static boolean isPal(String s){\n for(int i=0, j=s.length()-1;i<=j;i++,j--){\n if(s.charAt(i)!=s.charAt(j)) return false;\n }\n return true;\n }\n public static String rev(String s){\n\t\tStringBuilder sb=new StringBuilder(s);\n\t\tsb.reverse();\n\t\treturn sb.toString();\n }\n \n public static long add(long a,long b){\n long x=(a+b);\n while(x>=mod) x-=mod;\n return x;\n }\n\n public static long sub(long a,long b){\n long x=(a-b);\n while(x<0) x+=mod;\n return x;\n }\n \n public static long mul(long a,long b){\n a%=mod;\n b%=mod;\n long x=(a*b);\n return x%mod;\n }\n\n public static long gcd(long x,long y){\n\tif(x%y==0)\n\t\treturn y;\n\telse\n\t\treturn gcd(y,x%y);\n }\n \n public static int gcd(int x,int y){\n\tif(x%y==0)\n\t\treturn y;\n\telse \n\t\treturn gcd(y,x%y);\n }\n \n public static long gcdExtended(long a,long b,long[] x){\n \n if(a==0){\n x[0]=0;\n x[1]=1;\n return b;\n }\n long[] y=new long[2];\n long gcd=gcdExtended(b%a, a, y);\n \n x[0]=y[1]-(b/a)*y[0];\n x[1]=y[0];\n \n return gcd;\n }\n \n public static int abs(int a,int b){\n\treturn (int)Math.abs(a-b);\n }\n\n public static long abs(long a,long b){\n\treturn (long)Math.abs(a-b);\n }\n \n public static int max(int a,int b){\n\tif(a>b)\n\t\treturn a;\n\telse\n\t\treturn b;\n }\n\n public static int min(int a,int b){\n\tif(a>b)\n\t\treturn b;\n\telse \n\t\treturn a;\n }\n \n public static long max(long a,long b){\n\tif(a>b)\n\t\treturn a;\n\telse\n\t\treturn b;\n }\n\n public static long min(long a,long b){\n\tif(a>b)\n\t\treturn b;\n\telse \n\t\treturn a;\n }\n\n public static long pow(long n,long p,long m){\n\t long result = 1;\n\t if(p==0)\n\t return 1;\n \n\twhile(p!=0)\n\t{\n\t if(p%2==1)\n\t result *= n;\n\t if(result>=m)\n\t result%=m;\n\t p >>=1;\n\t n*=n;\n\t if(n>=m)\n\t n%=m;\n\t}\n\treturn result;\n }\n \n public static long pow(long n,long p){\n\tlong result = 1;\n\t if(p==0)\n\t return 1;\n \n\twhile(p!=0)\n\t{\n\t if(p%2==1)\n\t result *= n;\t \n\t p >>=1;\n\t n*=n;\t \n\t}\n\treturn result;\n }\n \n static class Pair{\n int p;\n int q;\n \n public Pair(int p,int q){\n this.p=p;\n this.q=q;\n }\n }\n \n static class Compare implements Comparator{\n\n @Override\n public int compare(Object t, Object t1) {\n Pair p1 = (Pair)t;\n Pair p2 = (Pair)t1;\n \n if(p1.q<p2.q) return -1;\n else if(p1.q>p2.q) return 1;\n else return 0;\n \n } \n }\n public static void debug(Object... o) {\n\t\tSystem.out.println(Arrays.deepToString(o));\n\t}\n \n\tstatic class InputReader {\n\n\t\tprivate final InputStream stream;\n\t\tprivate final byte[] buf = new byte[8192];\n\t\tprivate int curChar, snumChars;\n\t\tprivate SpaceCharFilter filter;\n\n\t\tpublic InputReader(InputStream stream) {\n\t\t\tthis.stream = stream;\n\t\t}\n\n\t\tpublic int snext() {\n\t\t\tif (snumChars == -1)\n\t\t\t\tthrow new InputMismatchException();\n\t\t\tif (curChar >= snumChars) {\n\t\t\t\tcurChar = 0;\n\t\t\t\ttry {\n\t\t\t\t\tsnumChars = stream.read(buf);\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\t}\n\t\t\t\tif (snumChars <= 0)\n\t\t\t\t\treturn -1;\n\t\t\t}\n\t\t\treturn buf[curChar++];\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c)) {\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tint res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c)) {\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tlong res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic int[] nextIntArray(int n) {\n\t\t\tint a[] = new int[n];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\ta[i] = nextInt();\n\t\t\t}\n\t\t\treturn a;\n\t\t}\n\n\t\tpublic String readString() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c)) {\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tStringBuilder res = new StringBuilder();\n\t\t\tdo {\n\t\t\t\tres.appendCodePoint(c);\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res.toString();\n\t\t}\n\n\t\tpublic String nextLine() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = snext();\n\t\t\tStringBuilder res = new StringBuilder();\n\t\t\tdo {\n\t\t\t\tres.appendCodePoint(c);\n\t\t\t\tc = snext();\n\t\t\t} while (!isEndOfLine(c));\n\t\t\treturn res.toString();\n\t\t}\n\n\t\tpublic boolean isSpaceChar(int c) {\n\t\t\tif (filter != null)\n\t\t\t\treturn filter.isSpaceChar(c);\n\t\t\treturn c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n\t\t}\n\n\t\tprivate boolean isEndOfLine(int c) {\n\t\t\treturn c == '\\n' || c == '\\r' || c == -1;\n\t\t}\n\n\t\tpublic interface SpaceCharFilter {\n\t\t\tpublic boolean isSpaceChar(int ch);\n\t\t}\n\t}\n} \n\n\n",
"python": "n = int(input())\np = map(int, input().split())\na = map(int, input().split())\nb = map(int, input().split())\ninput()\nc = map(int, input().split())\n\nt = sorted(zip(p, a, b), key=lambda x: x[0])\np = [None, 0, 0, 0]\n\nr = []\nfor ci in c:\n i = p[ci]\n while i < n and (t[i] is None or ci not in (t[i][1:])):\n i += 1\n if i == n:\n r.append('-1')\n else:\n r.append(str(t[i][0]))\n t[i] = None\n i += 1\n p[ci] = i\nprint(' '.join(r))\n"
}
|
|
|
# Mister B and PR Shifts
Some time ago Mister B detected a strange signal from the space, which he started to study.
After some transformation the signal turned out to be a permutation p of length n or its cyclic shift. For the further investigation Mister B need some basis, that's why he decided to choose cyclic shift of this permutation which has the minimum possible deviation.
Let's define the deviation of a permutation p as <image>.
Find a cyclic shift of permutation p with minimum possible deviation. If there are multiple solutions, print any of them.
Let's denote id k (0 ≤ k < n) of a cyclic shift of permutation p as the number of right shifts needed to reach this shift, for example:
* k = 0: shift p1, p2, ... pn,
* k = 1: shift pn, p1, ... pn - 1,
* ...,
* k = n - 1: shift p2, p3, ... pn, p1.
Input
First line contains single integer n (2 ≤ n ≤ 106) — the length of the permutation.
The second line contains n space-separated integers p1, p2, ..., pn (1 ≤ pi ≤ n) — the elements of the permutation. It is guaranteed that all elements are distinct.
Output
Print two integers: the minimum deviation of cyclic shifts of permutation p and the id of such shift. If there are multiple solutions, print any of them.
Examples
Input
3
1 2 3
Output
0 0
Input
3
2 3 1
Output
0 1
Input
3
3 2 1
Output
2 1
Note
In the first sample test the given permutation p is the identity permutation, that's why its deviation equals to 0, the shift id equals to 0 as well.
In the second sample test the deviation of p equals to 4, the deviation of the 1-st cyclic shift (1, 2, 3) equals to 0, the deviation of the 2-nd cyclic shift (3, 1, 2) equals to 4, the optimal is the 1-st cyclic shift.
In the third sample test the deviation of p equals to 4, the deviation of the 1-st cyclic shift (1, 3, 2) equals to 2, the deviation of the 2-nd cyclic shift (2, 1, 3) also equals to 2, so the optimal are both 1-st and 2-nd cyclic shifts.
|
[
{
"input": {
"stdin": "3\n1 2 3\n"
},
"output": {
"stdout": "0 0\n"
}
},
{
"input": {
"stdin": "3\n3 2 1\n"
},
"output": {
"stdout": "2 1\n"
}
},
{
"input": {
"stdin": "3\n2 3 1\n"
},
"output": {
"stdout": "0 1\n"
}
},
{
"input": {
"stdin": "10\n2 5 10 3 6 4 9 1 8 7\n"
},
"output": {
"stdout": "28 0\n"
}
},
{
"input": {
"stdin": "108\n1 102 33 99 6 83 4 20 61 100 76 71 44 9 24 87 57 2 81 82 90 85 12 30 66 53 47 36 43 29 31 64 96 84 77 23 93 78 58 68 42 55 13 70 62 19 92 14 10 65 63 75 91 48 11 105 37 50 32 94 18 26 52 89 104 106 86 97 80 95 17 72 40 22 79 103 25 101 35 51 15 98 67 5 34 69 54 27 45 88 56 16 46 60 74 108 21 41 73 39 107 59 3 8 28 49 7 38\n"
},
"output": {
"stdout": "3428 30\n"
}
},
{
"input": {
"stdin": "4\n4 2 1 3\n"
},
"output": {
"stdout": "2 3\n"
}
},
{
"input": {
"stdin": "10\n10 1 9 2 8 3 7 4 6 5\n"
},
"output": {
"stdout": "24 7\n"
}
},
{
"input": {
"stdin": "10\n2 7 10 1 6 3 4 8 9 5\n"
},
"output": {
"stdout": "20 7\n"
}
},
{
"input": {
"stdin": "10\n1 2 3 4 6 5 7 9 10 8\n"
},
"output": {
"stdout": "6 0\n"
}
},
{
"input": {
"stdin": "4\n4 2 3 1\n"
},
"output": {
"stdout": "4 1\n"
}
},
{
"input": {
"stdin": "4\n3 1 4 2\n"
},
"output": {
"stdout": "4 1\n"
}
},
{
"input": {
"stdin": "10\n2 3 10 5 4 8 6 9 7 1\n"
},
"output": {
"stdout": "14 1\n"
}
},
{
"input": {
"stdin": "10\n1 2 10 9 7 4 8 3 6 5\n"
},
"output": {
"stdout": "26 5\n"
}
},
{
"input": {
"stdin": "4\n1 3 4 2\n"
},
"output": {
"stdout": "2 1\n"
}
},
{
"input": {
"stdin": "4\n3 1 2 4\n"
},
"output": {
"stdout": "2 3\n"
}
},
{
"input": {
"stdin": "10\n2 1 10 5 8 4 9 3 7 6\n"
},
"output": {
"stdout": "28 0\n"
}
},
{
"input": {
"stdin": "4\n3 4 1 2\n"
},
"output": {
"stdout": "0 2\n"
}
},
{
"input": {
"stdin": "10\n1 8 10 6 2 4 9 3 7 5\n"
},
"output": {
"stdout": "24 6\n"
}
},
{
"input": {
"stdin": "4\n4 1 3 2\n"
},
"output": {
"stdout": "2 3\n"
}
},
{
"input": {
"stdin": "10\n1 6 10 7 9 5 3 8 4 2\n"
},
"output": {
"stdout": "24 4\n"
}
},
{
"input": {
"stdin": "10\n2 4 10 3 9 1 5 7 8 6\n"
},
"output": {
"stdout": "28 0\n"
}
},
{
"input": {
"stdin": "4\n2 4 3 1\n"
},
"output": {
"stdout": "2 1\n"
}
},
{
"input": {
"stdin": "4\n2 3 1 4\n"
},
"output": {
"stdout": "4 0\n"
}
},
{
"input": {
"stdin": "4\n3 4 2 1\n"
},
"output": {
"stdout": "2 2\n"
}
},
{
"input": {
"stdin": "10\n1 7 10 6 5 2 3 8 9 4\n"
},
"output": {
"stdout": "26 6\n"
}
},
{
"input": {
"stdin": "10\n1 5 10 8 4 3 9 2 7 6\n"
},
"output": {
"stdout": "26 6\n"
}
},
{
"input": {
"stdin": "4\n3 2 4 1\n"
},
"output": {
"stdout": "2 1\n"
}
},
{
"input": {
"stdin": "10\n2 6 10 1 9 7 4 8 5 3\n"
},
"output": {
"stdout": "28 1\n"
}
},
{
"input": {
"stdin": "4\n2 3 4 1\n"
},
"output": {
"stdout": "0 1\n"
}
},
{
"input": {
"stdin": "4\n3 2 1 4\n"
},
"output": {
"stdout": "4 0\n"
}
},
{
"input": {
"stdin": "2\n1 2\n"
},
"output": {
"stdout": "0 0\n"
}
},
{
"input": {
"stdin": "10\n1 3 10 9 4 7 5 8 6 2\n"
},
"output": {
"stdout": "22 1\n"
}
},
{
"input": {
"stdin": "4\n4 3 1 2\n"
},
"output": {
"stdout": "2 2\n"
}
},
{
"input": {
"stdin": "10\n1 9 10 5 6 7 3 8 4 2\n"
},
"output": {
"stdout": "26 1\n"
}
},
{
"input": {
"stdin": "2\n2 1\n"
},
"output": {
"stdout": "0 1\n"
}
},
{
"input": {
"stdin": "4\n1 4 3 2\n"
},
"output": {
"stdout": "4 0\n"
}
},
{
"input": {
"stdin": "4\n2 1 4 3\n"
},
"output": {
"stdout": "4 0\n"
}
},
{
"input": {
"stdin": "4\n1 3 2 4\n"
},
"output": {
"stdout": "2 0\n"
}
},
{
"input": {
"stdin": "4\n4 1 2 3\n"
},
"output": {
"stdout": "0 3\n"
}
},
{
"input": {
"stdin": "4\n1 4 2 3\n"
},
"output": {
"stdout": "4 0\n"
}
},
{
"input": {
"stdin": "10\n1 10 9 5 3 2 4 7 8 6\n"
},
"output": {
"stdout": "20 7\n"
}
},
{
"input": {
"stdin": "4\n1 2 3 4\n"
},
"output": {
"stdout": "0 0\n"
}
},
{
"input": {
"stdin": "10\n1 4 10 8 9 2 3 6 7 5\n"
},
"output": {
"stdout": "20 5\n"
}
},
{
"input": {
"stdin": "4\n4 3 2 1\n"
},
"output": {
"stdout": "4 1\n"
}
},
{
"input": {
"stdin": "4\n2 1 3 4\n"
},
"output": {
"stdout": "2 0\n"
}
},
{
"input": {
"stdin": "4\n1 2 4 3\n"
},
"output": {
"stdout": "2 0\n"
}
},
{
"input": {
"stdin": "4\n2 4 1 3\n"
},
"output": {
"stdout": "2 2\n"
}
},
{
"input": {
"stdin": "3\n1 3 3\n"
},
"output": {
"stdout": "1 0\n"
}
},
{
"input": {
"stdin": "4\n1 3 3 4\n"
},
"output": {
"stdout": "1 0\n"
}
},
{
"input": {
"stdin": "10\n1 7 10 10 5 2 3 8 9 4\n"
},
"output": {
"stdout": "22 6\n"
}
}
] |
{
"tags": [
"data structures",
"implementation",
"math"
],
"title": "Mister B and PR Shifts"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int inf = 0x3f3f3f3f;\nconst int N = 2e6 + 100;\nint a[N], shift[N];\nint main() {\n int n, lower = 0;\n long long sum = 0;\n scanf(\"%d\", &n);\n for (int i = 1; i <= n; i++) {\n scanf(\"%d\", a + i);\n if (a[i] > i) {\n shift[a[i] - i]++;\n lower++;\n }\n sum += abs(a[i] - i);\n }\n long long mmin = sum, mark = 0;\n for (int i = 1; i < n; i++) {\n int x = a[n - i + 1];\n sum += (n - lower - 1) - lower + abs(x - 1) - abs(x - n);\n lower -= shift[i];\n if (x > 1) {\n lower++;\n shift[x - 1 + i]++;\n }\n if (sum < mmin) {\n mmin = sum;\n mark = i;\n }\n }\n printf(\"%lld %lld\\n\", mmin, mark);\n return 0;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\npublic class D {\n\n\tpublic static void main(String[] args){\n\t\tFastScanner scan = new FastScanner();\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\tint n = scan.nextInt();\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0; i < n; i++) a[i] = scan.nextInt()-1;\n\t\tint[] b = new int[n];\n\t\tint c = 0;\n\t\tlong k = 0;\n\t\tfor(int i = 0; i < n; i++) {\n\t\t\tif(a[i] >= i) b[a[i]-i]++;\n\t\t\telse b[n-i+a[i]]++;\n\t\t\tif(a[i] <= i) c++; \n\t\t\tk += Math.abs(a[i]-i);\n\t\t}\n\t\tint res = 0;\n\t\tlong min = k;\n\t\tfor(int i = 1; i < n; i++) {\n\t\t\tk -= Math.abs(n-a[n-i]-1);\n\t\t\tk += a[n-i];\n\t\t\tk += c-1;\n\t\t\tk -= n-c;\n\t\t\tc--;\n\t\t\tc += b[i];\n\t\t\tif(k < min) {\n\t\t\t\tmin = k;\n\t\t\t\tres = i;\n\t\t\t}\n\t\t}\n\t\tout.println(min+\" \"+res);\n \t\tout.close();\n\t}\n\t\n\tstatic class FastScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\n\t\tpublic FastScanner() {\n\t\t\ttry\t{\n\t\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t} catch (Exception e){e.printStackTrace();}\n\t\t}\n\n\t\tpublic String next() {\n\t\t\tif (st.hasMoreTokens())\treturn st.nextToken();\n\t\t\ttry {st = new StringTokenizer(br.readLine());}\n\t\t\tcatch (Exception e) {e.printStackTrace();}\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tpublic int nextInt() {return Integer.parseInt(next());}\n\n\t\tpublic long nextLong() {return Long.parseLong(next());}\n\n\t\tpublic double nextDouble() {return Double.parseDouble(next());}\n\n\t\tpublic String nextLine() {\n\t\t\tString line = \"\";\n\t\t\tif(st.hasMoreTokens()) line = st.nextToken();\n\t\t\telse try {return br.readLine();}catch(IOException e){e.printStackTrace();}\n\t\t\twhile(st.hasMoreTokens()) line += \" \"+st.nextToken();\n\t\t\treturn line;\n\t\t}\n\n\t\tpublic int[] nextIntArray(int n) {\n\t\t\tint[] a = new int[n];\n\t\t\tfor(int i = 0; i < n; i++) a[i] = nextInt();\n\t\t\treturn a;\n\t\t}\n\n\t\tpublic long[] nextLongArray(int n){\n\t\t\tlong[] a = new long[n];\n\t\t\tfor(int i = 0; i < n; i++) a[i] = nextLong();\n\t\t\treturn a;\n\t\t}\n\n\t\tpublic double[] nextDoubleArray(int n){\n\t\t\tdouble[] a = new double[n];\n\t\t\tfor(int i = 0; i < n; i++) a[i] = nextDouble();\n\t\t\treturn a;\n\t\t}\n\n\t\tpublic char[][] nextGrid(int n, int m){\n\t\t\tchar[][] grid = new char[n][m];\n\t\t\tfor(int i = 0; i < n; i++) grid[i] = next().toCharArray();\n\t\t\treturn grid;\n\t\t}\n\t}\n\n\n}\n",
"python": "def main():\n inp = readnumbers()\n ii = 0\n\n n = inp[ii]\n ii += 1\n P = [x-1 for x in inp[ii:ii+n]]\n ii += n\n\n closers = 0\n gonners = 0\n status = [0]*n\n curdist = 0\n\n for i in range(n):\n if i<P[i]:\n closers += 1\n status[i] = -1\n else:\n gonners += 1\n status[i] = 1\n curdist += abs(i-P[i])\n\n updatelist = [[] for _ in range(n)]\n for i in range(n):\n updatelist[(P[i] - i)%n].append(i)\n\n best_dist = curdist\n best_circ = 0\n for k in range(n):\n if curdist < best_dist:\n best_dist = curdist\n best_circ = k\n \n for pind in updatelist[k]:\n #assert P[pind] == (pind + k)%n\n if status[pind] == -1:\n closers -= 1\n else:\n gonners -= 1\n status[pind] = 1\n gonners += 1\n\n curdist += gonners - closers\n \n #n-1 - k == i\n i = n - 1 - k\n \n if status[i] == -1:\n closers -= 1\n else:\n gonners -= 1\n status[i] = -1\n closers += 1\n curdist -= n - P[i]\n curdist += P[i]\n \n\n ## Check correctness\n #y = 0\n #for i in range(n):\n # y += abs(P[i] - (i + k + 1)%n )\n #\n #assert curdist == y, (k,curdist,y)\n \n print best_dist, best_circ\n \n\n\n\n\n######## Python 2 and 3 footer by Pajenegod and c1729\n\n# Note because cf runs old PyPy3 version which doesn't have the sped up\n# unicode strings, PyPy3 strings will many times be slower than pypy2.\n# There is a way to get around this by using binary strings in PyPy3\n# but its syntax is different which makes it kind of a mess to use.\n\n# So on cf, use PyPy2 for best string performance.\n\npy2 = round(0.5)\nif py2:\n from future_builtins import ascii, filter, hex, map, oct, zip\n range = xrange\n\nimport os, sys\nfrom io import IOBase, BytesIO\n\nBUFSIZE = 8192\nclass FastIO(BytesIO):\n newlines = 0\n\n def __init__(self, file):\n self._file = file\n self._fd = file.fileno()\n self.writable = \"x\" in file.mode or \"w\" in file.mode\n self.write = super(FastIO, self).write if self.writable else None\n\n def _fill(self):\n s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])\n return s\n\n def read(self):\n while self._fill(): pass\n return super(FastIO,self).read()\n\n def readline(self):\n while self.newlines == 0:\n s = self._fill(); self.newlines = s.count(b\"\\n\") + (not s)\n self.newlines -= 1\n return super(FastIO, self).readline()\n\n def flush(self):\n if self.writable:\n os.write(self._fd, self.getvalue())\n self.truncate(0), self.seek(0)\n\nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n if py2:\n self.write = self.buffer.write\n self.read = self.buffer.read\n self.readline = self.buffer.readline\n else:\n self.write = lambda s:self.buffer.write(s.encode('ascii'))\n self.read = lambda:self.buffer.read().decode('ascii')\n self.readline = lambda:self.buffer.readline().decode('ascii')\n\n\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip('\\r\\n')\n\n# Cout implemented in Python\nimport sys\nclass ostream:\n def __lshift__(self,a):\n sys.stdout.write(str(a))\n return self\ncout = ostream()\nendl = '\\n'\n\n# Read all remaining integers in stdin, type is given by optional argument, this is fast\ndef readnumbers(zero = 0):\n conv = ord if py2 else lambda x:x\n A = []; numb = zero; sign = 1; i = 0; s = sys.stdin.buffer.read()\n try:\n while True:\n if s[i] >= b'0' [0]:\n numb = 10 * numb + conv(s[i]) - 48\n elif s[i] == b'-' [0]: sign = -1\n elif s[i] != b'\\r' [0]:\n A.append(sign*numb)\n numb = zero; sign = 1\n i += 1\n except:pass\n if s and s[-1] >= b'0' [0]:\n A.append(sign*numb)\n return A\n\nif __name__== \"__main__\":\n main()\n"
}
|
|
|
# Upgrading Tree
You are given a tree with n vertices and you are allowed to perform no more than 2n transformations on it. Transformation is defined by three vertices x, y, y' and consists of deleting edge (x, y) and adding edge (x, y'). Transformation x, y, y' could be performed if all the following conditions are satisfied:
1. There is an edge (x, y) in the current tree.
2. After the transformation the graph remains a tree.
3. After the deletion of edge (x, y) the tree would consist of two connected components. Let's denote the set of nodes in the component containing vertex x by Vx, and the set of nodes in the component containing vertex y by Vy. Then condition |Vx| > |Vy| should be satisfied, i.e. the size of the component with x should be strictly larger than the size of the component with y.
You should minimize the sum of squared distances between all pairs of vertices in a tree, which you could get after no more than 2n transformations and output any sequence of transformations leading initial tree to such state.
Note that you don't need to minimize the number of operations. It is necessary to minimize only the sum of the squared distances.
Input
The first line of input contains integer n (1 ≤ n ≤ 2·105) — number of vertices in tree.
The next n - 1 lines of input contains integers a and b (1 ≤ a, b ≤ n, a ≠ b) — the descriptions of edges. It is guaranteed that the given edges form a tree.
Output
In the first line output integer k (0 ≤ k ≤ 2n) — the number of transformations from your example, minimizing sum of squared distances between all pairs of vertices.
In each of the next k lines output three integers x, y, y' — indices of vertices from the corresponding transformation.
Transformations with y = y' are allowed (even though they don't change tree) if transformation conditions are satisfied.
If there are several possible answers, print any of them.
Examples
Input
3
3 2
1 3
Output
0
Input
7
1 2
2 3
3 4
4 5
5 6
6 7
Output
2
4 3 2
4 5 6
Note
This is a picture for the second sample. Added edges are dark, deleted edges are dotted.
<image>
|
[
{
"input": {
"stdin": "3\n3 2\n1 3\n"
},
"output": {
"stdout": "2\n3 2 2\n3 1 1\n"
}
},
{
"input": {
"stdin": "7\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n"
},
"output": {
"stdout": "10\n4 3 1\n1 2 3\n4 1 2\n2 3 3\n4 2 3\n4 5 7\n7 6 5\n4 7 6\n6 5 5\n4 6 5\n"
}
},
{
"input": {
"stdin": "9\n9 2\n9 3\n9 4\n9 5\n2 6\n5 7\n7 8\n7 1\n"
},
"output": {
"stdout": "12\n9 2 6\n6 2 2\n9 6 2\n9 3 3\n9 4 4\n9 5 8\n8 7 5\n9 8 1\n1 7 5\n9 1 7\n7 5 5\n9 7 5\n"
}
},
{
"input": {
"stdin": "9\n7 2\n7 3\n7 4\n7 5\n2 6\n5 1\n1 8\n1 9\n"
},
"output": {
"stdout": "12\n7 2 6\n6 2 2\n7 6 2\n7 3 3\n7 4 4\n7 5 8\n8 1 5\n7 8 9\n9 1 5\n7 9 1\n1 5 5\n7 1 5\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n"
},
"output": {
"stdout": "14\n5 4 1\n1 2 4\n5 1 2\n2 3 4\n5 2 3\n3 4 4\n5 3 4\n6 7 10\n10 9 7\n6 10 9\n9 8 7\n6 9 8\n8 7 7\n6 8 7\n"
}
},
{
"input": {
"stdin": "10\n6 9\n9 2\n4 7\n5 4\n7 9\n8 5\n9 10\n2 1\n8 3\n"
},
"output": {
"stdout": "12\n9 6 6\n9 2 1\n1 2 2\n9 1 2\n9 10 10\n7 4 3\n3 8 4\n7 3 8\n8 5 4\n7 8 5\n5 4 4\n7 5 4\n"
}
},
{
"input": {
"stdin": "9\n3 2\n3 1\n3 4\n3 5\n2 6\n5 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n3 2 6\n6 2 2\n3 6 2\n3 1 1\n3 4 4\n3 5 8\n8 7 5\n3 8 9\n9 7 5\n3 9 7\n7 5 5\n3 7 5\n"
}
},
{
"input": {
"stdin": "9\n8 2\n8 3\n8 4\n8 5\n2 6\n5 7\n7 1\n7 9\n"
},
"output": {
"stdout": "12\n8 2 6\n6 2 2\n8 6 2\n8 3 3\n8 4 4\n8 5 1\n1 7 5\n8 1 9\n9 7 5\n8 9 7\n7 5 5\n8 7 5\n"
}
},
{
"input": {
"stdin": "7\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n"
},
"output": {
"stdout": "10\n4 3 1\n1 2 3\n4 1 2\n2 3 3\n4 2 3\n4 5 7\n7 6 5\n4 7 6\n6 5 5\n4 6 5\n"
}
},
{
"input": {
"stdin": "50\n28 44\n19 36\n15 20\n49 33\n27 18\n48 34\n5 35\n31 3\n32 25\n22 33\n8 7\n3 49\n32 12\n34 29\n4 24\n5 41\n17 24\n43 27\n11 22\n6 33\n32 28\n27 22\n10 43\n39 9\n45 14\n32 46\n28 45\n7 37\n47 42\n42 33\n5 21\n40 39\n9 25\n23 8\n10 29\n7 4\n41 50\n26 33\n49 17\n12 24\n1 8\n17 19\n41 16\n42 20\n30 34\n13 7\n38 29\n7 50\n19 2\n"
},
"output": {
"stdout": "92\n24 4 23\n23 8 4\n24 23 1\n1 8 4\n24 1 8\n8 7 4\n24 8 37\n37 7 4\n24 37 13\n13 7 4\n24 13 35\n35 5 4\n24 35 21\n21 5 4\n24 21 5\n5 41 4\n24 5 16\n16 41 4\n24 16 41\n41 50 4\n24 41 50\n50 7 4\n24 50 7\n7 4 4\n24 7 4\n24 12 40\n40 39 12\n24 40 39\n39 9 12\n24 39 9\n9 25 12\n24 9 25\n25 32 12\n24 25 44\n44 28 12\n24 44 14\n14 45 12\n24 14 45\n45 28 12\n24 45 28\n28 32 12\n24 28 46\n46 32 12\n24 46 32\n32 12 12\n24 32 12\n17 49 11\n11 22 49\n17 11 18\n18 27 49\n17 18 48\n48 34 49\n17 48 30\n30 34 49\n17 30 34\n34 29 49\n17 34 38\n38 29 49\n17 38 29\n29 10 49\n17 29 10\n10 43 49\n17 10 43\n43 27 49\n17 43 27\n27 22 49\n17 27 22\n22 33 49\n17 22 6\n6 33 49\n17 6 47\n47 42 49\n17 47 15\n15 20 49\n17 15 20\n20 42 49\n17 20 42\n42 33 49\n17 42 26\n26 33 49\n17 26 33\n33 49 49\n17 33 31\n31 3 49\n17 31 3\n3 49 49\n17 3 49\n17 19 36\n36 19 19\n17 36 2\n2 19 19\n17 2 19\n"
}
},
{
"input": {
"stdin": "16\n1 2\n1 3\n2 4\n3 5\n3 6\n4 7\n4 8\n5 9\n5 10\n6 11\n6 12\n9 13\n9 14\n12 15\n12 16\n"
},
"output": {
"stdout": "27\n3 1 7\n7 4 1\n3 7 8\n8 4 1\n3 8 4\n4 2 1\n3 4 2\n2 1 1\n3 2 1\n3 5 13\n13 9 5\n3 13 14\n14 9 5\n3 14 9\n9 5 5\n3 9 10\n10 5 5\n3 10 5\n3 6 11\n11 6 6\n3 11 15\n15 12 6\n3 15 16\n16 12 6\n3 16 12\n12 6 6\n3 12 6\n"
}
},
{
"input": {
"stdin": "9\n1 2\n1 3\n1 4\n1 5\n2 6\n5 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n1 2 6\n6 2 2\n1 6 2\n1 3 3\n1 4 4\n1 5 8\n8 7 5\n1 8 9\n9 7 5\n1 9 7\n7 5 5\n1 7 5\n"
}
},
{
"input": {
"stdin": "9\n4 2\n4 3\n4 1\n4 5\n2 6\n5 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n4 2 6\n6 2 2\n4 6 2\n4 3 3\n4 1 1\n4 5 8\n8 7 5\n4 8 9\n9 7 5\n4 9 7\n7 5 5\n4 7 5\n"
}
},
{
"input": {
"stdin": "10\n10 1\n1 4\n4 2\n2 3\n3 6\n6 9\n9 5\n5 8\n8 7\n"
},
"output": {
"stdout": "14\n3 2 10\n10 1 2\n3 10 1\n1 4 2\n3 1 4\n4 2 2\n3 4 2\n6 9 7\n7 8 9\n6 7 8\n8 5 9\n6 8 5\n5 9 9\n6 5 9\n"
}
},
{
"input": {
"stdin": "9\n2 1\n2 3\n2 4\n2 5\n1 6\n5 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n2 1 6\n6 1 1\n2 6 1\n2 3 3\n2 4 4\n2 5 8\n8 7 5\n2 8 9\n9 7 5\n2 9 7\n7 5 5\n2 7 5\n"
}
},
{
"input": {
"stdin": "9\n5 2\n5 3\n5 4\n5 1\n2 6\n1 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n5 2 6\n6 2 2\n5 6 2\n5 3 3\n5 4 4\n5 1 8\n8 7 1\n5 8 9\n9 7 1\n5 9 7\n7 1 1\n5 7 1\n"
}
},
{
"input": {
"stdin": "9\n6 2\n6 3\n6 4\n6 5\n2 1\n5 7\n7 8\n7 9\n"
},
"output": {
"stdout": "12\n6 2 1\n1 2 2\n6 1 2\n6 3 3\n6 4 4\n6 5 8\n8 7 5\n6 8 9\n9 7 5\n6 9 7\n7 5 5\n6 7 5\n"
}
},
{
"input": {
"stdin": "12\n1 3\n3 2\n3 4\n4 5\n4 7\n7 6\n7 8\n8 9\n8 10\n9 11\n9 12\n"
},
"output": {
"stdout": "19\n7 4 1\n1 3 4\n7 1 2\n2 3 4\n7 2 3\n3 4 4\n7 3 5\n5 4 4\n7 5 4\n7 6 6\n7 8 11\n11 9 8\n7 11 12\n12 9 8\n7 12 9\n9 8 8\n7 9 10\n10 8 8\n7 10 8\n"
}
},
{
"input": {
"stdin": "14\n1 2\n2 14\n2 3\n3 4\n4 5\n5 6\n5 7\n4 10\n10 9\n10 8\n3 11\n11 13\n11 12\n"
},
"output": {
"stdout": "20\n3 2 1\n1 2 2\n3 1 14\n14 2 2\n3 14 2\n3 11 13\n13 11 11\n3 13 12\n12 11 11\n3 12 11\n4 5 6\n6 5 5\n4 6 7\n7 5 5\n4 7 5\n4 10 9\n9 10 10\n4 9 8\n8 10 10\n4 8 10\n"
}
},
{
"input": {
"stdin": "5\n1 2\n1 3\n2 4\n2 5\n"
},
"output": {
"stdout": "5\n2 1 3\n3 1 1\n2 3 1\n2 4 4\n2 5 5\n"
}
},
{
"input": {
"stdin": "9\n6 1\n12 3\n6 4\n12 5\n2 1\n5 8\n7 2\n7 9\n"
},
"output": {
"stdout": "8\n1 6 4\n4 6 6\n1 4 6\n1 2 9\n9 7 2\n1 9 7\n7 2 2\n1 7 2\n"
}
},
{
"input": {
"stdin": "5\n1 2\n2 3\n1 4\n1 5\n"
},
"output": {
"stdout": "5\n1 2 3\n3 2 2\n1 3 2\n1 4 4\n1 5 5\n"
}
},
{
"input": {
"stdin": "10\n1 2\n2 3\n3 4\n4 5\n5 6\n1 7\n11 8\n5 9\n0 10\n"
},
"output": {
"stdout": "10\n2 1 7\n7 1 1\n2 7 1\n3 4 6\n6 5 4\n3 6 9\n9 5 4\n3 9 5\n5 4 4\n3 5 4\n"
}
},
{
"input": {
"stdin": "10\n10 1\n1 4\n4 2\n2 3\n3 6\n6 9\n9 5\n5 8\n9 12\n"
},
"output": {
"stdout": "14\n3 2 10\n10 1 2\n3 10 1\n1 4 2\n3 1 4\n4 2 2\n3 4 2\n6 9 8\n8 5 9\n6 8 5\n5 9 9\n6 5 12\n12 9 9\n6 12 9\n"
}
},
{
"input": {
"stdin": "9\n6 1\n6 3\n6 4\n4 5\n2 2\n5 7\n7 8\n8 9\n"
},
"output": {
"stdout": "12\n4 6 1\n1 6 6\n4 1 3\n3 6 6\n4 3 6\n4 5 9\n9 8 5\n4 9 8\n8 7 5\n4 8 7\n7 5 5\n4 7 5\n"
}
},
{
"input": {
"stdin": "9\n5 2\n5 3\n8 4\n5 1\n2 6\n1 7\n7 8\n4 10\n"
},
"output": {
"stdout": "14\n1 5 6\n6 2 5\n1 6 2\n2 5 5\n1 2 3\n3 5 5\n1 3 5\n1 7 10\n10 4 7\n1 10 4\n4 8 7\n1 4 8\n8 7 7\n1 8 7\n"
}
},
{
"input": {
"stdin": "3\n3 4\n1 3\n"
},
"output": {
"stdout": "2\n3 4 4\n3 1 1\n"
}
},
{
"input": {
"stdin": "16\n1 4\n1 3\n2 4\n3 5\n3 6\n4 7\n4 8\n2 17\n5 10\n5 11\n1 12\n9 13\n9 16\n14 25\n12 16\n"
},
"output": {
"stdout": "25\n1 4 17\n17 2 4\n1 17 2\n2 4 4\n1 2 7\n7 4 4\n1 7 8\n8 4 4\n1 8 4\n1 3 10\n10 5 3\n1 10 11\n11 5 3\n1 11 5\n5 3 3\n1 5 6\n6 3 3\n1 6 3\n1 12 13\n13 9 12\n1 13 9\n9 16 12\n1 9 16\n16 12 12\n1 16 12\n"
}
},
{
"input": {
"stdin": "9\n5 2\n5 3\n8 4\n6 1\n4 6\n1 26\n7 8\n2 9\n"
},
"output": {
"stdout": "8\n1 6 7\n7 8 6\n1 7 8\n8 4 6\n1 8 4\n4 6 6\n1 4 6\n1 26 26\n"
}
},
{
"input": {
"stdin": "9\n9 2\n2 3\n9 4\n9 5\n2 6\n5 13\n10 8\n6 1\n"
},
"output": {
"stdout": "11\n2 9 4\n4 9 9\n2 4 13\n13 5 9\n2 13 5\n5 9 9\n2 5 9\n2 3 3\n2 6 1\n1 6 6\n2 1 6\n"
}
},
{
"input": {
"stdin": "10\n10 1\n1 3\n4 2\n2 3\n3 6\n6 9\n9 5\n5 8\n3 7\n"
},
"output": {
"stdout": "14\n3 1 10\n10 1 1\n3 10 1\n3 2 4\n4 2 2\n3 4 2\n3 6 8\n8 5 6\n3 8 5\n5 9 6\n3 5 9\n9 6 6\n3 9 6\n3 7 7\n"
}
},
{
"input": {
"stdin": "10\n6 15\n9 2\n4 7\n5 4\n7 9\n8 5\n9 10\n2 1\n8 3\n"
},
"output": {
"stdout": "11\n9 2 1\n1 2 2\n9 1 2\n9 10 10\n7 4 3\n3 8 4\n7 3 8\n8 5 4\n7 8 5\n5 4 4\n7 5 4\n"
}
},
{
"input": {
"stdin": "10\n1 2\n0 3\n3 4\n2 8\n5 6\n6 7\n7 8\n8 9\n14 10\n"
},
"output": {
"stdout": "7\n2 1 1\n8 7 5\n5 6 7\n8 5 6\n6 7 7\n8 6 7\n8 9 9\n"
}
},
{
"input": {
"stdin": "16\n1 2\n1 3\n2 4\n3 5\n3 6\n4 7\n4 8\n5 9\n5 10\n6 11\n1 12\n9 13\n9 14\n12 15\n12 16\n"
},
"output": {
"stdout": "24\n1 2 7\n7 4 2\n1 7 8\n8 4 2\n1 8 4\n4 2 2\n1 4 2\n1 12 15\n15 12 12\n1 15 16\n16 12 12\n1 16 12\n3 5 13\n13 9 5\n3 13 14\n14 9 5\n3 14 9\n9 5 5\n3 9 10\n10 5 5\n3 10 5\n3 6 11\n11 6 6\n3 11 6\n"
}
},
{
"input": {
"stdin": "9\n6 2\n6 3\n6 4\n6 5\n2 1\n5 7\n7 8\n12 9\n"
},
"output": {
"stdout": "10\n6 2 1\n1 2 2\n6 1 2\n6 3 3\n6 4 4\n6 5 8\n8 7 5\n6 8 7\n7 5 5\n6 7 5\n"
}
},
{
"input": {
"stdin": "12\n1 3\n3 2\n1 5\n4 5\n4 7\n7 6\n7 8\n8 9\n8 10\n9 11\n9 15\n"
},
"output": {
"stdout": "19\n7 4 2\n2 3 4\n7 2 3\n3 1 4\n7 3 1\n1 5 4\n7 1 5\n5 4 4\n7 5 4\n7 6 6\n7 8 11\n11 9 8\n7 11 15\n15 9 8\n7 15 9\n9 8 8\n7 9 10\n10 8 8\n7 10 8\n"
}
},
{
"input": {
"stdin": "50\n28 44\n19 36\n15 20\n49 33\n42 18\n48 34\n5 35\n31 3\n32 25\n22 33\n8 7\n3 49\n32 12\n34 29\n4 24\n5 41\n17 24\n43 27\n11 22\n6 33\n32 28\n27 22\n10 43\n39 9\n45 14\n32 46\n28 45\n7 37\n47 42\n42 33\n5 21\n40 39\n9 25\n23 8\n10 29\n7 4\n41 50\n26 33\n49 17\n12 24\n1 8\n17 19\n41 16\n42 20\n30 34\n13 7\n38 29\n7 50\n19 2\n"
},
"output": {
"stdout": "92\n24 4 23\n23 8 4\n24 23 1\n1 8 4\n24 1 8\n8 7 4\n24 8 37\n37 7 4\n24 37 13\n13 7 4\n24 13 35\n35 5 4\n24 35 21\n21 5 4\n24 21 5\n5 41 4\n24 5 16\n16 41 4\n24 16 41\n41 50 4\n24 41 50\n50 7 4\n24 50 7\n7 4 4\n24 7 4\n24 12 40\n40 39 12\n24 40 39\n39 9 12\n24 39 9\n9 25 12\n24 9 25\n25 32 12\n24 25 44\n44 28 12\n24 44 14\n14 45 12\n24 14 45\n45 28 12\n24 45 28\n28 32 12\n24 28 46\n46 32 12\n24 46 32\n32 12 12\n24 32 12\n17 49 11\n11 22 49\n17 11 48\n48 34 49\n17 48 30\n30 34 49\n17 30 34\n34 29 49\n17 34 38\n38 29 49\n17 38 29\n29 10 49\n17 29 10\n10 43 49\n17 10 43\n43 27 49\n17 43 27\n27 22 49\n17 27 22\n22 33 49\n17 22 6\n6 33 49\n17 6 18\n18 42 49\n17 18 47\n47 42 49\n17 47 15\n15 20 49\n17 15 20\n20 42 49\n17 20 42\n42 33 49\n17 42 26\n26 33 49\n17 26 33\n33 49 49\n17 33 31\n31 3 49\n17 31 3\n3 49 49\n17 3 49\n17 19 36\n36 19 19\n17 36 2\n2 19 19\n17 2 19\n"
}
},
{
"input": {
"stdin": "9\n6 1\n12 3\n6 4\n6 5\n2 1\n5 8\n7 8\n7 9\n"
},
"output": {
"stdout": "11\n6 1 2\n2 1 1\n6 2 1\n6 4 4\n6 5 9\n9 7 5\n6 9 7\n7 8 5\n6 7 8\n8 5 5\n6 8 5\n"
}
},
{
"input": {
"stdin": "16\n1 2\n1 3\n2 4\n3 5\n3 6\n4 7\n4 8\n5 17\n5 10\n5 11\n1 12\n9 13\n9 14\n14 15\n12 16\n"
},
"output": {
"stdout": "21\n1 2 7\n7 4 2\n1 7 8\n8 4 2\n1 8 4\n4 2 2\n1 4 2\n1 3 17\n17 5 3\n1 17 10\n10 5 3\n1 10 11\n11 5 3\n1 11 5\n5 3 3\n1 5 6\n6 3 3\n1 6 3\n1 12 16\n16 12 12\n1 16 12\n"
}
},
{
"input": {
"stdin": "5\n1 2\n1 3\n3 4\n2 1\n"
},
"output": {
"stdout": "5\n1 2 2\n1 3 4\n4 3 3\n1 4 3\n1 2 2\n"
}
},
{
"input": {
"stdin": "16\n1 2\n1 3\n2 4\n3 5\n3 6\n4 7\n4 8\n5 17\n5 10\n5 11\n1 12\n9 13\n9 16\n14 15\n12 16\n"
},
"output": {
"stdout": "25\n1 2 7\n7 4 2\n1 7 8\n8 4 2\n1 8 4\n4 2 2\n1 4 2\n1 3 17\n17 5 3\n1 17 10\n10 5 3\n1 10 11\n11 5 3\n1 11 5\n5 3 3\n1 5 6\n6 3 3\n1 6 3\n1 12 13\n13 9 12\n1 13 9\n9 16 12\n1 9 16\n16 12 12\n1 16 12\n"
}
},
{
"input": {
"stdin": "14\n1 2\n2 14\n1 3\n3 4\n4 5\n5 6\n5 7\n4 10\n10 9\n10 8\n5 11\n11 13\n11 12\n"
},
"output": {
"stdout": "23\n4 3 14\n14 2 3\n4 14 2\n2 1 3\n4 2 1\n1 3 3\n4 1 3\n4 5 6\n6 5 5\n4 6 7\n7 5 5\n4 7 13\n13 11 5\n4 13 12\n12 11 5\n4 12 11\n11 5 5\n4 11 5\n4 10 9\n9 10 10\n4 9 8\n8 10 10\n4 8 10\n"
}
},
{
"input": {
"stdin": "9\n1 2\n5 3\n8 4\n5 1\n2 6\n1 7\n7 8\n4 10\n"
},
"output": {
"stdout": "13\n1 2 6\n6 2 2\n1 6 2\n1 5 3\n3 5 5\n1 3 5\n1 7 10\n10 4 7\n1 10 4\n4 8 7\n1 4 8\n8 7 7\n1 8 7\n"
}
},
{
"input": {
"stdin": "9\n9 2\n9 3\n9 4\n14 5\n1 6\n5 10\n10 8\n13 1\n"
},
"output": {
"stdout": "2\n1 6 6\n1 13 13\n"
}
},
{
"input": {
"stdin": "10\n1 2\n4 3\n3 4\n2 5\n5 6\n6 7\n4 8\n8 9\n12 10\n"
},
"output": {
"stdout": "7\n1 2 7\n7 6 2\n1 7 6\n6 5 2\n1 6 5\n5 2 2\n1 5 2\n"
}
},
{
"input": {
"stdin": "10\n10 1\n1 4\n4 2\n2 5\n3 6\n9 18\n9 5\n5 8\n9 12\n"
},
"output": {
"stdout": "11\n2 4 10\n10 1 4\n2 10 1\n1 4 4\n2 1 4\n5 9 18\n18 9 9\n5 18 12\n12 9 9\n5 12 9\n5 8 8\n"
}
},
{
"input": {
"stdin": "10\n1 2\n0 3\n3 4\n2 5\n5 9\n6 7\n7 8\n8 9\n12 10\n"
},
"output": {
"stdout": "8\n2 1 1\n5 9 6\n6 7 9\n5 6 7\n7 8 9\n5 7 8\n8 9 9\n5 8 9\n"
}
},
{
"input": {
"stdin": "9\n5 2\n5 3\n8 4\n5 1\n2 6\n1 26\n7 8\n2 9\n"
},
"output": {
"stdout": "9\n5 2 6\n6 2 2\n5 6 9\n9 2 2\n5 9 2\n5 3 3\n5 1 26\n26 1 1\n5 26 1\n"
}
},
{
"input": {
"stdin": "10\n10 1\n1 3\n4 2\n2 3\n3 6\n6 9\n9 5\n10 8\n8 7\n"
},
"output": {
"stdout": "15\n3 1 7\n7 8 1\n3 7 8\n8 10 1\n3 8 10\n10 1 1\n3 10 1\n3 2 4\n4 2 2\n3 4 2\n3 6 5\n5 9 6\n3 5 9\n9 6 6\n3 9 6\n"
}
},
{
"input": {
"stdin": "9\n5 2\n5 3\n8 4\n5 1\n2 6\n1 13\n7 8\n2 9\n"
},
"output": {
"stdout": "9\n5 2 6\n6 2 2\n5 6 9\n9 2 2\n5 9 2\n5 3 3\n5 1 13\n13 1 1\n5 13 1\n"
}
}
] |
{
"tags": [
"constructive algorithms",
"dfs and similar",
"graphs",
"math",
"trees"
],
"title": "Upgrading Tree"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int c = 200002;\nint n, f[c], rf[c], h, l, ki, ut;\nvector<int> sz[c];\nvector<pair<int, pair<int, int> > > sol;\nbool v1[c], v2[c], cen[c];\nvoid add(int x, int y1, int y2) { sol.push_back({x, {y1, y2}}); }\nvoid dfs1(int a) {\n v1[a] = true, rf[a] = 1;\n int maxi = 0;\n for (int x : sz[a])\n if (!v1[x]) {\n dfs1(x);\n maxi = max(maxi, rf[x]);\n rf[a] += rf[x];\n }\n if (rf[a] >= h && n - maxi >= h) cen[a] = 1, v2[a] = 1;\n}\nvoid dfs3(int a) {\n v2[a] = true;\n for (int x : sz[a])\n if (!v2[x]) f[x] = a, dfs3(x), add(l, ut, x), add(x, a, ki), ut = x;\n}\nvoid dfs2(int a) {\n v2[a] = true;\n for (int x : sz[a])\n if (!v2[x]) f[x] = a, l = a, ki = x, ut = x, dfs3(x), add(a, ut, x);\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin >> n;\n for (int i = 1; i < n; i++) {\n int a, b;\n cin >> a >> b;\n sz[a].push_back(b), sz[b].push_back(a);\n }\n h = (n + 1) / 2, dfs1(1);\n for (int i = 1; i <= n; i++)\n if (cen[i]) dfs2(i);\n int si = sol.size();\n cout << si << \"\\n\";\n for (int i = 0; i < si; i++)\n cout << sol[i].first << \" \" << sol[i].second.first << \" \"\n << sol[i].second.second << \"\\n\";\n return 0;\n}\n",
"java": "import java.util.*;\nimport java.io.*;\n\npublic class Main {\n\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n n = in.nextInt();\n for (int i = 1; i <= n; i++) {\n g[i] = new ArrayList<>();\n }\n for (int i = 0; i < n - 1; i++) {\n int u = in.nextInt(), v = in.nextInt();\n g[u].add(v);\n g[v].add(u);\n }\n dfs1(1, -1);\n int[] a = new int[2];\n int mx = n + 1;\n for (int i = 1; i <= n; i++) {\n if (msz[i] < mx) {\n mx = msz[i];\n a[0] = i;\n a[1] = -1;\n } else if (msz[i] == mx) {\n a[1] = i;\n }\n }\n root = a[0];\n for (int v : g[a[0]]) {\n if (v != a[1]) {\n goal = last = v;\n dfs2(v, a[0]);\n add(a[0], last, v);\n }\n }\n if (a[1] != -1) {\n root = a[1];\n for (int v : g[a[1]]) {\n if (v != a[0]) {\n goal = last = v;\n dfs2(v, a[1]);\n add(a[1], last, v);\n }\n }\n }\n out.println(ans.size());\n for (int[] arr : ans) {\n out.println(arr[0] + \" \" + arr[1] + \" \" + arr[2]);\n }\n out.close();\n }\n\n static ArrayList<Integer>[] g = new ArrayList[200001];\n static int[] msz = new int[200001];\n static int[] sz = new int[200001];\n static int n;\n static ArrayList<int[]> ans = new ArrayList<>();\n static int goal;\n static int root;\n static int last;\n\n static void add(int x, int y, int z) {\n int[] t = {x, y, z};\n ans.add(t);\n }\n\n static void dfs1(int u, int fa) {\n sz[u] = 1;\n for (int v : g[u]) {\n if (v != fa) {\n dfs1(v, u);\n sz[u] += sz[v];\n msz[u] = Math.max(msz[u], sz[v]);\n }\n }\n msz[u] = Math.max(msz[u], n - sz[u]);\n }\n\n static void dfs2(int u, int fa) {\n if (u != goal) {\n add(root, last, u);\n add(u, fa, goal);\n last = u;\n }\n for (int v : g[u]) {\n if (v != fa) {\n dfs2(v, u);\n }\n }\n\n }\n\n static class InputReader {\n public BufferedReader reader;\n public StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream), 32768);\n tokenizer = null;\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n}\n",
"python": null
}
|
|
|
# Ordering Pizza
It's another Start[c]up finals, and that means there is pizza to order for the onsite contestants. There are only 2 types of pizza (obviously not, but let's just pretend for the sake of the problem), and all pizzas contain exactly S slices.
It is known that the i-th contestant will eat si slices of pizza, and gain ai happiness for each slice of type 1 pizza they eat, and bi happiness for each slice of type 2 pizza they eat. We can order any number of type 1 and type 2 pizzas, but we want to buy the minimum possible number of pizzas for all of the contestants to be able to eat their required number of slices. Given that restriction, what is the maximum possible total happiness that can be achieved?
Input
The first line of input will contain integers N and S (1 ≤ N ≤ 105, 1 ≤ S ≤ 105), the number of contestants and the number of slices per pizza, respectively. N lines follow.
The i-th such line contains integers si, ai, and bi (1 ≤ si ≤ 105, 1 ≤ ai ≤ 105, 1 ≤ bi ≤ 105), the number of slices the i-th contestant will eat, the happiness they will gain from each type 1 slice they eat, and the happiness they will gain from each type 2 slice they eat, respectively.
Output
Print the maximum total happiness that can be achieved.
Examples
Input
3 12
3 5 7
4 6 7
5 9 5
Output
84
Input
6 10
7 4 7
5 8 8
12 5 8
6 11 6
3 3 7
5 9 6
Output
314
Note
In the first example, you only need to buy one pizza. If you buy a type 1 pizza, the total happiness will be 3·5 + 4·6 + 5·9 = 84, and if you buy a type 2 pizza, the total happiness will be 3·7 + 4·7 + 5·5 = 74.
|
[
{
"input": {
"stdin": "3 12\n3 5 7\n4 6 7\n5 9 5\n"
},
"output": {
"stdout": "84\n"
}
},
{
"input": {
"stdin": "6 10\n7 4 7\n5 8 8\n12 5 8\n6 11 6\n3 3 7\n5 9 6\n"
},
"output": {
"stdout": "314\n"
}
},
{
"input": {
"stdin": "1 100\n97065 97644 98402\n"
},
"output": {
"stdout": "9551390130\n"
}
},
{
"input": {
"stdin": "1 100000\n1 82372 5587\n"
},
"output": {
"stdout": "82372\n"
}
},
{
"input": {
"stdin": "2 10\n9 1 2\n9 2 1\n"
},
"output": {
"stdout": "36\n"
}
},
{
"input": {
"stdin": "3 10\n10 3 4\n5 1 100\n5 100 1\n"
},
"output": {
"stdout": "1035\n"
}
},
{
"input": {
"stdin": "2 100000\n50000 1 100000\n50000 100000 1\n"
},
"output": {
"stdout": "5000050000\n"
}
},
{
"input": {
"stdin": "3 5\n6 4 5\n6 5 5\n8 7 5\n"
},
"output": {
"stdout": "116\n"
}
},
{
"input": {
"stdin": "3 4\n2 1 10\n1 2 1\n1 3 1\n"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "25 6\n1 10 5\n1 8 4\n1 8 2\n4 8 9\n3 2 8\n1 9 5\n2 10 10\n3 9 6\n3 5 4\n2 7 8\n2 3 2\n2 6 8\n3 7 8\n4 3 7\n1 8 1\n3 6 4\n3 2 8\n2 2 1\n4 8 8\n4 8 4\n3 10 2\n3 6 6\n2 2 5\n1 6 2\n4 1 5\n"
},
"output": {
"stdout": "449\n"
}
},
{
"input": {
"stdin": "3 3\n6 5 6\n2 5 4\n2 4 5\n"
},
"output": {
"stdout": "56\n"
}
},
{
"input": {
"stdin": "2 3\n5 5 10\n5 10 5\n"
},
"output": {
"stdout": "100\n"
}
},
{
"input": {
"stdin": "2 3\n2 10 1\n2 1 10\n"
},
"output": {
"stdout": "40\n"
}
},
{
"input": {
"stdin": "10 8\n7 1 4\n4 8 9\n3 4 10\n5 5 9\n1 5 6\n1 8 5\n5 7 4\n5 4 6\n10 5 7\n9 7 3\n"
},
"output": {
"stdout": "351\n"
}
},
{
"input": {
"stdin": "2 9\n6 1 7\n6 7 1\n"
},
"output": {
"stdout": "84\n"
}
},
{
"input": {
"stdin": "3 5\n2 7 4\n6 5 9\n6 5 6\n"
},
"output": {
"stdout": "102\n"
}
},
{
"input": {
"stdin": "2 10\n7 2 1\n7 1 2\n"
},
"output": {
"stdout": "28\n"
}
},
{
"input": {
"stdin": "2 3\n5 10 5\n5 5 10\n"
},
"output": {
"stdout": "100\n"
}
},
{
"input": {
"stdin": "3 12\n3 5 0\n4 6 3\n5 4 5\n"
},
"output": {
"stdout": "59\n"
}
},
{
"input": {
"stdin": "2 13\n7 2 1\n7 1 2\n"
},
"output": {
"stdout": "28\n"
}
},
{
"input": {
"stdin": "1 100\n127954 98475 98402\n"
},
"output": {
"stdout": "12600270150\n"
}
},
{
"input": {
"stdin": "3 8\n2 5 4\n6 5 9\n6 5 6\n"
},
"output": {
"stdout": "98\n"
}
},
{
"input": {
"stdin": "2 4\n2 1 10\n1 0 2\n1 3 1\n"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "10 15\n7 1 4\n4 8 9\n3 7 10\n5 5 9\n1 5 6\n1 8 5\n5 7 4\n5 4 6\n10 5 12\n9 7 3\n"
},
"output": {
"stdout": "401\n"
}
},
{
"input": {
"stdin": "6 10\n7 4 7\n5 16 8\n12 5 8\n6 11 6\n3 0 7\n5 9 6\n"
},
"output": {
"stdout": "351\n"
}
},
{
"input": {
"stdin": "2 13\n7 2 1\n7 0 2\n"
},
"output": {
"stdout": "28\n"
}
},
{
"input": {
"stdin": "2 10\n5 10 9\n11 5 10\n"
},
"output": {
"stdout": "155\n"
}
},
{
"input": {
"stdin": "3 5\n2 5 4\n6 5 9\n6 5 6\n"
},
"output": {
"stdout": "98\n"
}
},
{
"input": {
"stdin": "1 100000\n1 82372 3601\n"
},
"output": {
"stdout": "82372\n"
}
},
{
"input": {
"stdin": "3 8\n2 10 4\n6 3 5\n6 5 6\n"
},
"output": {
"stdout": "82\n"
}
},
{
"input": {
"stdin": "2 13\n7 1 1\n7 0 2\n"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "10 8\n7 1 4\n4 8 9\n3 5 10\n5 5 9\n1 5 6\n1 8 5\n5 7 4\n5 4 6\n10 5 7\n9 7 3\n"
},
"output": {
"stdout": "351\n"
}
},
{
"input": {
"stdin": "2 10\n0 1 2\n9 2 1\n"
},
"output": {
"stdout": "18\n"
}
},
{
"input": {
"stdin": "2 10\n0 1 2\n16 2 1\n"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "10 15\n7 1 4\n4 8 9\n3 7 10\n5 5 9\n2 5 6\n1 8 5\n5 7 4\n5 4 6\n10 5 12\n9 7 3\n"
},
"output": {
"stdout": "407\n"
}
},
{
"input": {
"stdin": "2 3\n5 10 4\n3 12 5\n"
},
"output": {
"stdout": "86\n"
}
},
{
"input": {
"stdin": "2 13\n0 1 1\n7 0 2\n"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 12\n3 5 0\n7 6 3\n5 4 5\n"
},
"output": {
"stdout": "82\n"
}
},
{
"input": {
"stdin": "2 3\n5 10 9\n9 5 10\n"
},
"output": {
"stdout": "140\n"
}
},
{
"input": {
"stdin": "3 3\n11 5 6\n2 5 4\n2 4 5\n"
},
"output": {
"stdout": "85\n"
}
},
{
"input": {
"stdin": "1 100\n154860 97644 98402\n"
},
"output": {
"stdout": "15238533720\n"
}
},
{
"input": {
"stdin": "2 3\n5 5 10\n5 12 5\n"
},
"output": {
"stdout": "110\n"
}
},
{
"input": {
"stdin": "2 3\n5 10 4\n5 12 5\n"
},
"output": {
"stdout": "110\n"
}
},
{
"input": {
"stdin": "6 10\n7 4 7\n5 16 8\n12 5 8\n6 11 6\n3 3 7\n5 9 6\n"
},
"output": {
"stdout": "351\n"
}
},
{
"input": {
"stdin": "2 10\n5 10 9\n9 5 10\n"
},
"output": {
"stdout": "140\n"
}
},
{
"input": {
"stdin": "25 6\n1 10 5\n1 8 4\n1 8 2\n4 8 9\n3 2 8\n1 9 5\n2 10 10\n1 9 6\n3 5 4\n2 7 8\n2 3 2\n2 6 8\n3 7 8\n4 3 7\n1 8 1\n3 6 4\n3 2 8\n2 2 1\n4 8 8\n4 8 4\n3 10 2\n3 6 6\n2 2 5\n1 6 2\n4 1 5\n"
},
"output": {
"stdout": "431\n"
}
},
{
"input": {
"stdin": "2 13\n0 0 1\n7 0 2\n"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "2 9\n5 1 7\n6 9 1\n"
},
"output": {
"stdout": "89\n"
}
},
{
"input": {
"stdin": "6 10\n7 4 7\n2 16 8\n12 5 8\n6 11 6\n3 0 7\n5 9 6\n"
},
"output": {
"stdout": "303\n"
}
},
{
"input": {
"stdin": "2 4\n2 1 10\n2 0 2\n1 3 1\n"
},
"output": {
"stdout": "24\n"
}
}
] |
{
"tags": [
"binary search",
"sortings",
"ternary search"
],
"title": "Ordering Pizza"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long readi() {\n long long input = 0;\n char c = ' ';\n while (c < '-') {\n c = getchar();\n }\n bool negative = false;\n if (c == '-') {\n negative = true;\n c = getchar();\n }\n while (c >= '0') {\n input = 10 * input + (c - '0');\n c = getchar();\n }\n if (negative) {\n input = -input;\n }\n return input;\n}\nvoid printi(long long output) {\n if (output == 0) {\n putchar('0');\n return;\n }\n if (output < 0) {\n putchar('-');\n output = -output;\n }\n int aout[20];\n int ilen = 0;\n while (output) {\n aout[ilen] = ((output % 10));\n output /= 10;\n ilen++;\n }\n for (int i = ilen - 1; i >= 0; i--) {\n putchar(aout[i] + '0');\n }\n return;\n}\nstring reads() {\n string input = \"\";\n char c = ' ';\n while (c <= ' ') {\n c = getchar();\n }\n while (c > ' ') {\n input += c;\n c = getchar();\n }\n return input;\n}\nvoid prints(string output) {\n for (int i = 0; i < output.length(); i++) {\n putchar(output[i]);\n }\n return;\n}\nlong long getrand() {\n long long rand1 = (rand() % 536870912);\n long long rand2 = (rand() % 536870912);\n return (rand1 * 536870912ll + rand2);\n}\nint N, S;\npair<long long, long long> arr[100010];\nlong long ans;\nlong long B;\nlong long tot;\nbool cmp(pair<long long, long long> a, pair<long long, long long> b) {\n return a.second < b.second;\n}\nlong long overlap(long long a, long long b, long long c, long long d) {\n if (b < a || d < c) {\n return 0;\n }\n return max(0ll, (min(d, b) - max(c, a)) + 1);\n}\nlong long check(long long x) {\n long long res = 0ll;\n long long one = x * S;\n long long E = B * S - tot;\n long long cnt = 0;\n for (int i = 0; i < N; i++) {\n long long lo = cnt, hi = cnt + arr[i].first - 1;\n long long n2, ne;\n n2 = overlap(lo, hi, one, B * S - 1);\n ne = overlap(lo, hi, one - E, one - 1);\n res += arr[i].second * n2;\n res += max(0ll, arr[i].second) * ne;\n cnt = hi + 1;\n }\n return res;\n}\nint32_t main() {\n srand(time(NULL));\n cout << fixed << setprecision(10);\n cerr << fixed << setprecision(10);\n ios_base::sync_with_stdio(false);\n if (fopen(\"cf865b.in\", \"r\")) {\n freopen(\"cf865b.in\", \"r\", stdin);\n }\n cin >> N >> S;\n for (int i = 0; i < N; i++) {\n long long x, y;\n cin >> arr[i].first >> x >> y;\n arr[i].second = y - x;\n ans += (x * arr[i].first);\n B += arr[i].first;\n tot += arr[i].first;\n }\n B += (S - 1);\n B /= S;\n sort(arr, arr + N, cmp);\n long long lo = 0, hi = B;\n while (hi > lo) {\n long long mid = (hi + lo) / 2;\n if (check(mid) > check(mid + 1)) {\n hi = mid;\n } else {\n lo = mid + 1;\n }\n }\n ans += check(lo);\n cout << ans << '\\n';\n return 0;\n}\n",
"java": "import javafx.util.Pair;\n\nimport java.util.ArrayList;\nimport java.util.Collections;\nimport java.util.Comparator;\nimport java.util.HashMap;\nimport java.util.List;\nimport java.util.Map;\nimport java.util.Scanner;\nimport java.util.stream.Collectors;\n\n/**\n * http://codeforces.com/problemset/problem/867/C\n *\n * @author NPospolita\n * @since 01.10.2017\n */\npublic class Task867C {\n\n public static void main(String[] args) {\n Scanner scanner = new Scanner(System.in);\n int N = scanner.nextInt();\n long S = scanner.nextInt();\n long happiness = 0;\n long slicesA = 0;\n long slicesB = 0;\n List<ParticipantStats> participantsList = new ArrayList<>(N);\n for (long i = 0; i < N; i++) {\n scanner.nextLine();\n long s = scanner.nextInt();\n long aHappiness = scanner.nextInt();\n long bHappiness = scanner.nextInt();\n long diff = Math.abs(aHappiness - bHappiness);\n if (aHappiness > bHappiness) {\n happiness += aHappiness * s;\n slicesA += s;\n participantsList.add(new ParticipantStats(s, ParticipantStats.Number.A, diff));\n }\n else {\n happiness += bHappiness * s;\n slicesB += s;\n participantsList.add(new ParticipantStats(s, ParticipantStats.Number.B, diff));\n }\n }\n long slicesAleft = slicesA % S;\n long slicesBleft = slicesB % S;\n long slicesDiff = slicesAleft + slicesBleft;\n long pizzasA = slicesA / S;\n long pizzasB = slicesB / S;\n if (slicesDiff > S || slicesA % S == 0 || slicesB % S == 0) {\n System.out.print(happiness);\n } else {\n long hapinessToEliminateAdiff = eliminateDiff(participantsList, ParticipantStats.Number.A, slicesAleft);\n long hapinessToEliminateBdiff = eliminateDiff(participantsList, ParticipantStats.Number.B, slicesBleft);\n System.out.print(happiness - Math.min(hapinessToEliminateAdiff, hapinessToEliminateBdiff));\n }\n\n }\n\n private static long eliminateDiff(List<ParticipantStats> participantsList, ParticipantStats.Number chosen, long slicesLeft) {\n List<ParticipantStats> collected = participantsList.stream()\n .filter(participantStats -> participantStats.chosenNumber.equals(chosen))\n .sorted(Comparator.comparing(participantStats -> participantStats.diff)).collect(Collectors.toList());\n long diff = 0;\n for(int i = 0; i < collected.size() && slicesLeft > 0; i++) {\n ParticipantStats participant = collected.get(i);\n long slices = participant.slices;\n while (slices > 0 && slicesLeft > 0) {\n diff += participant.diff;\n slicesLeft--;\n slices--;\n }\n }\n return diff;\n }\n}\n\nclass ParticipantStats {\n enum Number {\n A, B\n }\n\n public ParticipantStats(long slices, Number chosenNumber, long diff) {\n this.slices = slices;\n this.chosenNumber = chosenNumber;\n this.diff = diff;\n }\n\n public long getSlices() {\n return slices;\n }\n\n public Number getChosenNumber() {\n return chosenNumber;\n }\n\n public long getDiff() {\n return diff;\n }\n\n long slices;\n Number chosenNumber;\n long diff;\n}\n",
"python": "def solve(arr):\n arr.sort(key=lambda q: q[1] - q[0])\n m = sum(si for a, b, si in arr)\n k = s * (m // s)\n n = m - k\n x, y, z = 0, 0, 0\n for a, b, si in arr:\n if k >= si:\n k -= si\n z += si * a\n elif k > 0:\n z += k * a\n x = (si - k) * a\n y = (si - k) * b\n k = 0\n else:\n x += si * a\n y += si * b\n return x, y, z, n\n\nn, s = map(int, input().split())\narr1, arr2 = [], []\nfor i in range(n):\n\tsi, ai, bi = map(int, input().split())\n\tif ai > bi: arr1.append((ai, bi, si))\n\telse: arr2.append((bi, ai, si))\nx1, y1, z1, n1 = solve(arr1)\nx2, y2, z2, n2 = solve(arr2)\nd = x1 + x2 if n1 + n2 > s else max(x1 + y2, x2 + y1)\nprint(z1 + z2 + d)"
}
|
|
|
# Gluttony
You are given an array a with n distinct integers. Construct an array b by permuting a such that for every non-empty subset of indices S = {x1, x2, ..., xk} (1 ≤ xi ≤ n, 0 < k < n) the sums of elements on that positions in a and b are different, i. e.
<image>
Input
The first line contains one integer n (1 ≤ n ≤ 22) — the size of the array.
The second line contains n space-separated distinct integers a1, a2, ..., an (0 ≤ ai ≤ 109) — the elements of the array.
Output
If there is no such array b, print -1.
Otherwise in the only line print n space-separated integers b1, b2, ..., bn. Note that b must be a permutation of a.
If there are multiple answers, print any of them.
Examples
Input
2
1 2
Output
2 1
Input
4
1000 100 10 1
Output
100 1 1000 10
Note
An array x is a permutation of y, if we can shuffle elements of y such that it will coincide with x.
Note that the empty subset and the subset containing all indices are not counted.
|
[
{
"input": {
"stdin": "4\n1000 100 10 1\n"
},
"output": {
"stdout": "1 1000 100 10 "
}
},
{
"input": {
"stdin": "2\n1 2\n"
},
"output": {
"stdout": "2 1 "
}
},
{
"input": {
"stdin": "22\n17 10 24 44 41 33 48 6 30 27 38 19 16 46 22 8 35 13 5 9 4 1\n"
},
"output": {
"stdout": "19 13 27 46 44 35 1 8 33 30 41 22 17 48 24 9 38 16 6 10 5 4 "
}
},
{
"input": {
"stdin": "22\n79749952 42551386 1000000000 60427603 50702468 16899307 85913428 116634789 151569595 100251788 152378664 96284924 60769416 136345503 59995727 88224321 29257228 64921932 77805288 126026727 103477637 115959196\n"
},
"output": {
"stdout": "85913428 50702468 16899307 60769416 59995727 29257228 88224321 126026727 152378664 103477637 1000000000 100251788 64921932 151569595 60427603 96284924 42551386 77805288 79749952 136345503 115959196 116634789 "
}
},
{
"input": {
"stdin": "22\n116213533 171312666 76695399 60099180 30779320 43431323 146620629 15321904 71245898 94843310 56549974 104020167 84091716 134384095 24383373 83975332 1000000000 101710173 188076412 199811222 153566780 115893674\n"
},
"output": {
"stdout": "134384095 188076412 83975332 71245898 43431323 56549974 153566780 24383373 76695399 101710173 60099180 115893674 94843310 146620629 30779320 84091716 15321904 104020167 199811222 1000000000 171312666 116213533 "
}
},
{
"input": {
"stdin": "22\n33 2 19 26 18 13 27 9 25 35 6 24 20 22 11 5 1 30 17 15 7 29\n"
},
"output": {
"stdout": "35 5 20 27 19 15 29 11 26 1 7 25 22 24 13 6 2 33 18 17 9 30 "
}
},
{
"input": {
"stdin": "1\n10000000\n"
},
"output": {
"stdout": "10000000 "
}
},
{
"input": {
"stdin": "22\n32 43 3 37 29 42 40 12 28 1 14 25 34 46 8 35 5 17 2 23 20 9\n"
},
"output": {
"stdout": "34 46 5 40 32 43 42 14 29 2 17 28 35 1 9 37 8 20 3 25 23 12 "
}
},
{
"input": {
"stdin": "22\n83255567 39959119 124812899 157774437 12694468 89732189 102545715 67019496 110206980 98186415 63181429 141617294 177406424 195504716 158928060 64956133 67949891 31436243 155002729 1000000000 128745406 52504492\n"
},
"output": {
"stdout": "89732189 52504492 128745406 158928060 31436243 98186415 110206980 67949891 124812899 102545715 64956133 155002729 195504716 1000000000 177406424 67019496 83255567 39959119 157774437 12694468 141617294 63181429 "
}
},
{
"input": {
"stdin": "22\n32119698 129510003 107370317 182795872 160438101 17245069 117836566 141016185 196664039 215252245 170450315 18866624 68629021 47385728 77249092 89835593 132769095 95649030 48749357 126701972 40219294 1000000000\n"
},
"output": {
"stdout": "40219294 132769095 117836566 196664039 170450315 18866624 126701972 160438101 215252245 1000000000 182795872 32119698 77249092 48749357 89835593 95649030 141016185 107370317 68629021 129510003 47385728 17245069 "
}
},
{
"input": {
"stdin": "22\n12 38 6 37 14 26 2 0 9 17 28 33 3 11 15 8 31 21 29 34 18 24\n"
},
"output": {
"stdout": "14 0 8 38 15 28 3 2 11 18 29 34 6 12 17 9 33 24 31 37 21 26 "
}
},
{
"input": {
"stdin": "22\n7 10 1 25 42 8 39 35 6 19 31 24 16 0 21 32 11 28 13 4 37 22\n"
},
"output": {
"stdout": "8 11 4 28 0 10 42 37 7 21 32 25 19 1 22 35 13 31 16 6 39 24 "
}
},
{
"input": {
"stdin": "22\n9 13 7 20 38 40 27 12 31 25 1 23 46 35 45 29 19 16 33 4 42 39\n"
},
"output": {
"stdout": "12 16 9 23 39 42 29 13 33 27 4 25 1 38 46 31 20 19 35 7 45 40 "
}
},
{
"input": {
"stdin": "22\n27 21 12 14 8 40 47 45 24 49 36 37 17 32 42 13 35 10 18 2 5 30\n"
},
"output": {
"stdout": "30 24 13 17 10 42 49 47 27 2 37 40 18 35 45 14 36 12 21 5 8 32 "
}
},
{
"input": {
"stdin": "22\n177663922 168256855 139197944 78700101 93490895 127229611 46317725 84284513 48674853 66142856 29224095 1000000000 138390832 117500569 98525700 100418194 44827621 151960474 43225995 16918107 53307514 48861499\n"
},
"output": {
"stdout": "1000000000 177663922 151960474 84284513 98525700 138390832 48674853 93490895 48861499 78700101 43225995 16918107 139197944 127229611 100418194 117500569 46317725 168256855 44827621 29224095 66142856 53307514 "
}
},
{
"input": {
"stdin": "22\n36 5 7 22 33 30 14 8 25 24 28 12 19 29 37 2 20 15 10 17 13 21\n"
},
"output": {
"stdout": "37 7 8 24 36 33 15 10 28 25 29 13 20 30 2 5 21 17 12 19 14 22 "
}
},
{
"input": {
"stdin": "22\n94506085 195061283 78884975 27418524 41348358 185397891 151515774 66605535 170723638 212843258 218566729 7450050 21809921 1000000000 146101141 132453297 228865386 240705035 57636433 114219677 158240908 228428432\n"
},
"output": {
"stdout": "114219677 212843258 94506085 41348358 57636433 195061283 158240908 78884975 185397891 218566729 228428432 21809921 27418524 7450050 151515774 146101141 240705035 1000000000 66605535 132453297 170723638 228865386 "
}
},
{
"input": {
"stdin": "22\n28 40 5 38 29 12 21 24 2 33 35 17 30 11 16 0 8 27 34 14 19 36\n"
},
"output": {
"stdout": "29 0 8 40 30 14 24 27 5 34 36 19 33 12 17 2 11 28 35 16 21 38 "
}
},
{
"input": {
"stdin": "12\n7 1 62 12 3 5 8 9 10 22 23 0\n"
},
"output": {
"stdout": "8 3 0 22 5 7 9 10 12 23 62 1 "
}
},
{
"input": {
"stdin": "4\n1 5 8 4\n"
},
"output": {
"stdout": "4 8 1 5 "
}
},
{
"input": {
"stdin": "22\n41 12 14 36 16 21 0 2 18 22 39 29 40 31 37 25 28 9 4 34 6 43\n"
},
"output": {
"stdout": "43 14 16 37 18 22 2 4 21 25 40 31 41 34 39 28 29 12 6 36 9 0 "
}
},
{
"input": {
"stdin": "22\n2 22 21 19 3 25 28 11 10 9 14 37 18 38 15 23 20 34 7 30 31 4\n"
},
"output": {
"stdout": "3 23 22 20 4 28 30 14 11 10 15 38 19 2 18 25 21 37 9 31 34 7 "
}
},
{
"input": {
"stdin": "17\n1 3 2 5 4 6 7 8 10 9 13 11 12 14 15 16 18\n"
},
"output": {
"stdout": "2 4 3 6 5 7 8 9 11 10 14 12 13 15 16 18 1 "
}
},
{
"input": {
"stdin": "22\n25 12 38 5 6 20 30 27 4 19 8 18 10 17 26 32 43 14 40 35 1 22\n"
},
"output": {
"stdout": "26 14 40 6 8 22 32 30 5 20 10 19 12 18 27 35 1 17 43 38 4 25 "
}
},
{
"input": {
"stdin": "5\n1 3 4 5 2\n"
},
"output": {
"stdout": "2 4 5 1 3 "
}
},
{
"input": {
"stdin": "22\n133295371 188010892 71730560 209842234 193069109 184556873 87395258 234247052 230809052 211444018 148989732 17810977 158722706 11753932 100093528 1000000000 43672080 61357581 171830832 13873487 34865589 114340079\n"
},
"output": {
"stdout": "148989732 193069109 87395258 211444018 209842234 188010892 100093528 1000000000 234247052 230809052 158722706 34865589 171830832 13873487 114340079 11753932 61357581 71730560 184556873 17810977 43672080 133295371 "
}
},
{
"input": {
"stdin": "22\n7 0 23 37 20 18 46 26 2 24 44 13 47 15 32 5 35 30 39 41 27 10\n"
},
"output": {
"stdout": "10 2 24 39 23 20 47 27 5 26 46 15 0 18 35 7 37 32 41 44 30 13 "
}
},
{
"input": {
"stdin": "22\n138499935 195582510 159774498 12295611 37071371 91641202 167958938 119995178 19438466 182405139 207729895 56797798 79876605 152841775 1000000000 149079380 158867321 154637978 72179187 75460169 145092927 103227705\n"
},
"output": {
"stdout": "145092927 207729895 167958938 19438466 56797798 103227705 182405139 138499935 37071371 195582510 1000000000 72179187 91641202 154637978 12295611 152841775 159774498 158867321 75460169 79876605 149079380 119995178 "
}
},
{
"input": {
"stdin": "3\n1 3 2\n"
},
"output": {
"stdout": "2 1 3 "
}
},
{
"input": {
"stdin": "22\n23 32 13 39 29 41 40 6 21 10 38 42 4 8 20 35 31 26 15 2 17 5\n"
},
"output": {
"stdout": "26 35 15 40 31 42 41 8 23 13 39 2 5 10 21 38 32 29 17 4 20 6 "
}
},
{
"input": {
"stdin": "22\n106855341 41953605 16663229 140358177 145011760 49391214 42672526 1000000000 173686818 18529133 155326121 177597841 65855243 125680752 111261017 47020618 35558283 100881772 149421816 84207033 181739589 185082482\n"
},
"output": {
"stdout": "111261017 42672526 18529133 145011760 149421816 65855243 47020618 16663229 177597841 35558283 173686818 181739589 84207033 140358177 125680752 49391214 41953605 106855341 155326121 100881772 185082482 1000000000 "
}
},
{
"input": {
"stdin": "22\n17 6 1 22 9 23 38 40 10 20 29 11 12 39 3 32 26 4 13 36 14 35\n"
},
"output": {
"stdout": "20 9 3 23 10 26 39 1 11 22 32 12 13 40 4 35 29 6 14 38 17 36 "
}
},
{
"input": {
"stdin": "22\n18 37 15 33 35 5 14 1 0 27 22 11 40 20 13 2 30 21 8 25 32 16\n"
},
"output": {
"stdout": "20 40 16 35 37 8 15 2 1 30 25 13 0 21 14 5 32 22 11 27 33 18 "
}
},
{
"input": {
"stdin": "4\n3 1 2 4\n"
},
"output": {
"stdout": "4 2 3 1 "
}
},
{
"input": {
"stdin": "22\n4 24 22 18 28 3 17 8 29 20 11 15 13 2 19 26 5 36 33 14 30 25\n"
},
"output": {
"stdout": "5 25 24 19 29 4 18 11 30 22 13 17 14 3 20 28 8 2 36 15 33 26 "
}
},
{
"input": {
"stdin": "22\n13 2 10 25 5 34 19 18 16 9 7 22 28 20 31 38 36 35 1 26 6 23\n"
},
"output": {
"stdout": "16 5 13 26 6 35 20 19 18 10 9 23 31 22 34 1 38 36 2 28 7 25 "
}
},
{
"input": {
"stdin": "22\n148671024 180468173 99388811 78666746 187172484 157360521 112604605 2988530 60271244 163263697 27469084 166381131 1000000000 125847469 137766458 198740424 88387613 15152912 200315776 149201551 45997250 36252057\n"
},
"output": {
"stdout": "149201551 187172484 112604605 88387613 198740424 163263697 125847469 15152912 78666746 166381131 36252057 180468173 2988530 137766458 148671024 200315776 99388811 27469084 1000000000 157360521 60271244 45997250 "
}
},
{
"input": {
"stdin": "22\n20 38 26 32 36 8 44 0 40 41 35 21 11 17 29 33 1 42 24 14 5 3\n"
},
"output": {
"stdout": "21 40 29 33 38 11 0 1 41 42 36 24 14 20 32 35 3 44 26 17 8 5 "
}
},
{
"input": {
"stdin": "22\n16 11 29 30 12 5 3 2 13 6 17 15 9 24 25 35 1 27 0 23 20 33\n"
},
"output": {
"stdout": "17 12 30 33 13 6 5 3 15 9 20 16 11 25 27 0 2 29 1 24 23 35 "
}
},
{
"input": {
"stdin": "22\n1 3 5 7 22 2 4 6 8 9 10 11 12 13 15 14 17 18 16 20 19 23\n"
},
"output": {
"stdout": "2 4 6 8 23 3 5 7 9 10 11 12 13 14 16 15 18 19 17 22 20 1 "
}
},
{
"input": {
"stdin": "22\n94506085 195061283 78884975 36711728 41348358 185397891 151515774 66605535 170723638 212843258 218566729 7450050 35216681 1000000000 146101141 132453297 228865386 240705035 57636433 73580840 158240908 228428432\n"
},
"output": {
"stdout": "132453297 212843258 94506085 41348358 57636433 195061283 158240908 73580840 185397891 218566729 228428432 35216681 36711728 7450050 151515774 146101141 240705035 1000000000 66605535 78884975 170723638 228865386 \n"
}
},
{
"input": {
"stdin": "22\n18 37 15 33 35 5 14 1 0 27 11 12 40 20 10 2 30 6 8 25 32 16\n"
},
"output": {
"stdout": "20 40 16 35 37 6 15 2 1 30 12 14 0 25 11 5 32 8 10 27 33 18 \n"
}
},
{
"input": {
"stdin": "12\n7 1 62 12 3 5 8 13 10 22 23 -1\n"
},
"output": {
"stdout": "8 3 -1 13 5 7 10 22 12 23 62 1 \n"
}
},
{
"input": {
"stdin": "22\n32119698 129510003 107370317 182795872 160438101 17245069 117836566 141016185 196664039 287154555 170450315 18866624 68629021 47385728 77249092 89835593 132769095 95649030 48749357 126701972 40219294 1000000000\n"
},
"output": {
"stdout": "40219294 132769095 117836566 196664039 170450315 18866624 126701972 160438101 287154555 1000000000 182795872 32119698 77249092 48749357 89835593 95649030 141016185 107370317 68629021 129510003 47385728 17245069 \n"
}
},
{
"input": {
"stdin": "4\n0000 100 7 1\n"
},
"output": {
"stdout": "1 0 100 7 \n"
}
},
{
"input": {
"stdin": "12\n7 1 62 12 3 5 8 9 10 22 23 -1\n"
},
"output": {
"stdout": "8 3 -1 22 5 7 9 10 12 23 62 1 \n"
}
},
{
"input": {
"stdin": "4\n0000 100 10 1\n"
},
"output": {
"stdout": "1 0 100 10 \n"
}
},
{
"input": {
"stdin": "22\n94506085 195061283 78884975 36711728 41902452 185397891 151515774 66605535 170723638 212843258 218566729 7450050 35216681 1000000000 146101141 132453297 228865386 240705035 57636433 73580840 158240908 228428432\n"
},
"output": {
"stdout": "132453297 212843258 94506085 41902452 57636433 195061283 158240908 73580840 185397891 218566729 228428432 35216681 36711728 7450050 151515774 146101141 240705035 1000000000 66605535 78884975 170723638 228865386 \n"
}
},
{
"input": {
"stdin": "22\n23 32 13 39 29 41 40 6 21 10 38 42 4 16 20 35 31 26 15 2 17 5\n"
},
"output": {
"stdout": "26 35 15 40 31 42 41 10 23 13 39 2 5 17 21 38 32 29 16 4 20 6 \n"
}
},
{
"input": {
"stdin": "22\n116213533 251962456 76695399 60099180 30779320 43431323 146620629 15321904 71245898 94843310 56549974 104020167 84091716 134384095 24383373 83975332 1000000000 101710173 188076412 199811222 153566780 115893674\n"
},
"output": {
"stdout": "134384095 1000000000 83975332 71245898 43431323 56549974 153566780 24383373 76695399 101710173 60099180 115893674 94843310 146620629 30779320 84091716 15321904 104020167 199811222 251962456 188076412 116213533 \n"
}
}
] |
{
"tags": [
"constructive algorithms",
"greedy"
],
"title": "Gluttony"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n, ans[100];\npair<int, int> P[100];\nint main() {\n cin >> n;\n for (int i = 0; i < n; i++) {\n cin >> P[i].first;\n P[i].second = i;\n }\n sort(P, P + n);\n for (int i = 0; i < n; i++) ans[P[i].second] = P[(i + 1) % n].first;\n for (int i = 0; i < n; i++) cout << ans[i] << \" \";\n cout << endl;\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\nimport java.io.IOException;\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n TaskD solver = new TaskD();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskD {\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n int n = in.nextInt();\n int a[] = in.parseInt1D(n);\n int b[] = Arrays.copyOf(a, a.length);\n Arrays.sort(b);\n for (int i = 0; i < a.length; i++) {\n int index = Arrays.binarySearch(b, a[i]);\n out.print(b[(index + 1) % n] + \" \");\n }\n out.println();\n }\n\n }\n\n static class InputReader {\n private BufferedReader br;\n private StringTokenizer st;\n\n public InputReader(InputStream in) {\n br = new BufferedReader(new InputStreamReader(in));\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException ignored) {\n\n }\n }\n\n public boolean readLine() {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n return false;\n }\n return true;\n }\n\n public int nextInt() {\n if (!st.hasMoreTokens()) readLine();\n return Integer.parseInt(st.nextToken());\n }\n\n public int[] parseInt1D(int n) {\n readLine();\n int r[] = new int[n];\n for (int i = 0; i < n; i++) {\n r[i] = nextInt();\n }\n return r;\n }\n\n }\n}\n\n",
"python": "n = int(input())\nj = [int(x) for x in input().split(\" \")]\nif n ==1:\n print(j[0])\nelse:\n k = [[j[i],i] for i in range(n)]\n k.sort()\n o = [0 for i in range(len(k))]\n for i in range(len(k)):\n o[k[i][1]] = str(k[(i+1)%n][0])\n \n\n print(\" \".join(o))\n"
}
|
|
|
# Logical Expression
You are given a boolean function of three variables which is defined by its truth table. You need to find an expression of minimum length that equals to this function. The expression may consist of:
* Operation AND ('&', ASCII code 38)
* Operation OR ('|', ASCII code 124)
* Operation NOT ('!', ASCII code 33)
* Variables x, y and z (ASCII codes 120-122)
* Parentheses ('(', ASCII code 40, and ')', ASCII code 41)
If more than one expression of minimum length exists, you should find the lexicographically smallest one.
Operations have standard priority. NOT has the highest priority, then AND goes, and OR has the lowest priority. The expression should satisfy the following grammar:
E ::= E '|' T | T
T ::= T '&' F | F
F ::= '!' F | '(' E ')' | 'x' | 'y' | 'z'
Input
The first line contains one integer n — the number of functions in the input (1 ≤ n ≤ 10 000).
The following n lines contain descriptions of functions, the i-th of them contains a string of length 8 that consists of digits 0 and 1 — the truth table of the i-th function. The digit on position j (0 ≤ j < 8) equals to the value of the function in case of <image>, <image> and <image>.
Output
You should output n lines, the i-th line should contain the expression of minimum length which equals to the i-th function. If there is more than one such expression, output the lexicographically smallest of them. Expressions should satisfy the given grammar and shouldn't contain white spaces.
Example
Input
4
00110011
00000111
11110000
00011111
Output
y
(y|z)&x
!x
x|y&z
Note
The truth table for the second function:
<image>
|
[
{
"input": {
"stdin": "4\n00110011\n00000111\n11110000\n00011111\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!x\nx|y&z\n"
}
},
{
"input": {
"stdin": "4\n11000010\n11000010\n11001110\n10001001\n"
},
"output": {
"stdout": "!x&!y|!z&x&y\n!x&!y|!z&x&y\n!y|!z&x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "1\n11001110\n"
},
"output": {
"stdout": "!y|!z&x\n"
}
},
{
"input": {
"stdin": "2\n11001110\n01001001\n"
},
"output": {
"stdout": "!y|!z&x\n!(!x&!z|x&z|y)|x&y&z\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00110110\n00011100\n01110111\n01010011\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!(x&z)&y|!y&x&z\n!x&y&z|!y&x\ny|z\n!x&z|x&y\n"
}
},
{
"input": {
"stdin": "3\n10001001\n10111011\n10111101\n"
},
"output": {
"stdout": "!y&!z|x&y&z\n!z|y\n!x&!z|!y&x|y&z\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00000111\n11110000\n00011111\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!x\nx|y&z\n"
}
},
{
"input": {
"stdin": "4\n11000010\n11000000\n11001110\n10001001\n"
},
"output": {
"stdout": "!x&!y|!z&x&y\n!x&!y\n!y|!z&x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "4\n00110001\n10001111\n11110000\n00010011\n"
},
"output": {
"stdout": "!x&y|y&z\n!y&!z|x\n!x\n(x|z)&y\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00110010\n00011000\n01110111\n01010010\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!(x&z)&y\n!x&y&z|!y&!z&x\ny|z\n!x&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00100010\n00011000\n01110111\n01000010\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!z&y\n!x&y&z|!y&!z&x\ny|z\n!x&!y&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10111011\n10110111\n"
},
"output": {
"stdout": "!y&!z|x&y\n!z|y\n!x&!z|x&z|y\n"
}
},
{
"input": {
"stdin": "1\n10101101\n"
},
"output": {
"stdout": "!(x&y|z)|x&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10011011\n10111101\n"
},
"output": {
"stdout": "!y&!z|x&y\n!(!x&y|z)|y&z\n!x&!z|!y&x|y&z\n"
}
},
{
"input": {
"stdin": "2\n11101110\n01101000\n"
},
"output": {
"stdout": "!y|!z\n!(!x&!y|x&y|z)|!x&!y&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10011011\n10111111\n"
},
"output": {
"stdout": "!y&!z|x&y\n!(!x&y|z)|y&z\n!z|x|y\n"
}
},
{
"input": {
"stdin": "4\n10000010\n11000000\n11001111\n10101001\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)\n!x&!y\n!y|x\n!(x&y|z)|x&y&z\n"
}
},
{
"input": {
"stdin": "2\n01101110\n01101000\n"
},
"output": {
"stdout": "!y&(x|z)|!z&y\n!(!x&!y|x&y|z)|!x&!y&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10111011\n10111101\n"
},
"output": {
"stdout": "!y&!z|x&y\n!z|y\n!x&!z|!y&x|y&z\n"
}
},
{
"input": {
"stdin": "2\n10101110\n01101000\n"
},
"output": {
"stdout": "!y&x|!z\n!(!x&!y|x&y|z)|!x&!y&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10111011\n10111111\n"
},
"output": {
"stdout": "!y&!z|x&y\n!z|y\n!z|x|y\n"
}
},
{
"input": {
"stdin": "1\n10001111\n"
},
"output": {
"stdout": "!y&!z|x\n"
}
},
{
"input": {
"stdin": "4\n10000010\n11000000\n11001111\n00101001\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)\n!x&!y\n!y|x\n!(!x&!y|x&y|z)|x&y&z\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00110110\n00011000\n01110111\n01010010\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!(x&z)&y|!y&x&z\n!x&y&z|!y&!z&x\ny|z\n!x&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "2\n01001110\n01101000\n"
},
"output": {
"stdout": "!y&z|!z&x\n!(!x&!y|x&y|z)|!x&!y&z\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00000111\n11100000\n00011010\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!(x|y&z)\n!x&y&z|!z&x\n"
}
},
{
"input": {
"stdin": "4\n00110011\n10001111\n11110000\n00011111\n"
},
"output": {
"stdout": "y\n!y&!z|x\n!x\nx|y&z\n"
}
},
{
"input": {
"stdin": "1\n10000111\n"
},
"output": {
"stdout": "!(x|y|z)|(y|z)&x\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00000111\n11100000\n00011110\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!(x|y&z)\n!(y&z)&x|!x&y&z\n"
}
},
{
"input": {
"stdin": "1\n10001101\n"
},
"output": {
"stdout": "!y&!z|x&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10011011\n10010111\n"
},
"output": {
"stdout": "!y&!z|x&y\n!(!x&y|z)|y&z\n!(x|y|z)|(x|y)&z|x&y\n"
}
},
{
"input": {
"stdin": "5\n00111000\n00100010\n00011000\n01110111\n01000010\n"
},
"output": {
"stdout": "!x&y|!y&!z&x\n!z&y\n!x&y&z|!y&!z&x\ny|z\n!x&!y&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "4\n00110011\n10001111\n11110000\n00010011\n"
},
"output": {
"stdout": "y\n!y&!z|x\n!x\n(x|z)&y\n"
}
},
{
"input": {
"stdin": "5\n00111000\n00100010\n00011000\n01110111\n00000010\n"
},
"output": {
"stdout": "!x&y|!y&!z&x\n!z&y\n!x&y&z|!y&!z&x\ny|z\n!z&x&y\n"
}
},
{
"input": {
"stdin": "4\n10000010\n11000000\n11001111\n10001001\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)\n!x&!y\n!y|x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "2\n11001110\n01001000\n"
},
"output": {
"stdout": "!y|!z&x\n!(!x&!z|x&z|y)\n"
}
},
{
"input": {
"stdin": "4\n00110001\n10001111\n11110010\n00010011\n"
},
"output": {
"stdout": "!x&y|y&z\n!y&!z|x\n!x|!z&y\n(x|z)&y\n"
}
},
{
"input": {
"stdin": "4\n11000010\n01000000\n11001110\n10001001\n"
},
"output": {
"stdout": "!x&!y|!z&x&y\n!x&!y&z\n!y|!z&x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00100010\n00011000\n01110111\n01010010\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!z&y\n!x&y&z|!y&!z&x\ny|z\n!x&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "5\n01111000\n00110110\n00011100\n01110111\n01010010\n"
},
"output": {
"stdout": "!x&(y|z)|!y&!z&x\n!(x&z)&y|!y&x&z\n!x&y&z|!y&x\ny|z\n!x&z|!z&x&y\n"
}
},
{
"input": {
"stdin": "4\n10000010\n01000000\n11001110\n10001001\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)\n!x&!y&z\n!y|!z&x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00000111\n11100010\n00001010\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!x&!y|!z&y\n!z&x\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00010111\n11100010\n10001010\n"
},
"output": {
"stdout": "y\n(x|y)&z|x&y\n!x&!y|!z&y\n!(!x&y|z)\n"
}
},
{
"input": {
"stdin": "4\n10000010\n01000000\n11001111\n10001001\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)\n!x&!y&z\n!y|x\n!y&!z|x&y&z\n"
}
},
{
"input": {
"stdin": "4\n00110011\n00000111\n11100010\n10001010\n"
},
"output": {
"stdout": "y\n(y|z)&x\n!x&!y|!z&y\n!(!x&y|z)\n"
}
},
{
"input": {
"stdin": "2\n10101111\n01101000\n"
},
"output": {
"stdout": "!z|x\n!(!x&!y|x&y|z)|!x&!y&z\n"
}
},
{
"input": {
"stdin": "3\n10001011\n10011011\n10110111\n"
},
"output": {
"stdout": "!y&!z|x&y\n!(!x&y|z)|y&z\n!x&!z|x&z|y\n"
}
},
{
"input": {
"stdin": "1\n10000110\n"
},
"output": {
"stdout": "!(!x&y|!y&x|z)|!y&x&z\n"
}
},
{
"input": {
"stdin": "2\n01001110\n01001000\n"
},
"output": {
"stdout": "!y&z|!z&x\n!(!x&!z|x&z|y)\n"
}
},
{
"input": {
"stdin": "1\n11000110\n"
},
"output": {
"stdout": "!(!z&x|y)|!z&x&y\n"
}
}
] |
{
"tags": [
"bitmasks",
"dp",
"shortest paths"
],
"title": "Logical Expression"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstring f[300], t[300], e[300];\nchar s[20];\nint n;\nbool cmp(string& a, string b) {\n if (a == \"\") return 1;\n return a.size() == b.size() ? a > b : a.size() > b.size();\n}\nint main() {\n f[240] = \"x\";\n f[204] = \"y\";\n f[170] = \"z\";\n while (1) {\n bool ok = 0;\n for (int i = 0; i < 256; i++)\n if (e[i] != \"\" && cmp(f[i], \"(\" + e[i] + \")\")) {\n ok = 1;\n f[i] = \"(\" + e[i] + \")\";\n }\n for (int i = 0; i < 256; i++)\n if (f[i] != \"\" && cmp(f[i ^ ((1 << 8) - 1)], \"!\" + f[i])) {\n f[i ^ ((1 << 8) - 1)] = \"!\" + f[i];\n ok = 1;\n }\n for (int i = 0; i < 256; i++)\n if (f[i] != \"\" && cmp(t[i], f[i])) {\n t[i] = f[i];\n ok = 1;\n }\n for (int i = 0; i < 256; i++)\n if (t[i] != \"\")\n for (int j = 0; j < 256; j++)\n if (t[j] != \"\" && cmp(t[i & j], t[i] + \"&\" + t[j])) {\n t[i & j] = t[i] + \"&\" + t[j];\n ok = 1;\n }\n for (int i = 0; i < 256; i++)\n if (t[i] != \"\" && cmp(e[i], t[i])) {\n e[i] = t[i];\n ok = 1;\n }\n for (int i = 0; i < 256; i++)\n if (e[i] != \"\")\n for (int j = 0; j < 256; j++)\n if (e[j] != \"\" && cmp(e[i | j], e[i] + \"|\" + e[j])) {\n e[i | j] = e[i] + \"|\" + e[j];\n ok = 1;\n }\n if (!ok) break;\n }\n scanf(\"%d\", &n);\n for (int i = 1; i <= n; i++) {\n scanf(\"%s\", s);\n int c = 0;\n for (int j = 0; j < 8; j++) c |= ((s[j] - '0') << j);\n cout << e[c] << endl;\n }\n return 0;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\n/**\n * @author Don Li\n */\npublic class LogicalExpression {\n \n int N = 256;\n \n void solve() {\n Expression[] E = new Expression[N];\n for (int i = 0; i < N; i++) E[i] = new Expression();\n \n E[Integer.parseInt(\"00001111\", 2)].update_f(\"x\");\n E[Integer.parseInt(\"00110011\", 2)].update_f(\"y\");\n E[Integer.parseInt(\"01010101\", 2)].update_f(\"z\");\n \n for (int l = 2; l < 40; l++) {\n for (int i = 0; i < N; i++) {\n for (int j = 0; j < N; j++) {\n if (E[i].e != null && E[j].t != null && E[i].e.length() + E[j].t.length() + 1 == l) {\n E[i | j].update_e(E[i].e + '|' + E[j].t);\n }\n if (E[i].t != null && E[j].f != null && E[i].t.length() + E[j].f.length() + 1 == l) {\n E[i & j].update_t(E[i].t + '&' + E[j].f);\n }\n }\n if (E[i].f != null) E[i ^ (N - 1)].update_f('!' + E[i].f);\n }\n }\n \n String[] res = new String[N];\n for (int i = 0; i < N; i++) res[i] = E[i].calc_best();\n \n int n = in.nextInt();\n for (int i = 0; i < n; i++) {\n int x = Integer.parseInt(in.nextToken(), 2);\n out.println(res[x]);\n }\n }\n \n static class Expression {\n String e, t, f;\n \n Expression() {\n }\n \n public Expression(String e, String t, String f) {\n this.e = e;\n this.t = t;\n this.f = f;\n }\n \n String calc_best() {\n String best = e;\n if (compare(best, t) > 0) best = t;\n if (compare(best, f) > 0) best = f;\n return best;\n }\n \n void update_e(String ne) {\n if (e == null || compare(e, ne) > 0) {\n e = ne;\n update_f('(' + e + ')');\n }\n }\n \n void update_t(String nt) {\n if (t == null || compare(t, nt) > 0) {\n t = nt;\n update_e(t);\n }\n }\n \n void update_f(String nf) {\n if (f == null || compare(f, nf) > 0) {\n f = nf;\n update_t(f);\n }\n }\n \n int compare(String a, String b) {\n if (a.length() != b.length()) return Integer.compare(a.length(), b.length());\n return a.compareTo(b);\n }\n }\n \n public static void main(String[] args) {\n in = new FastScanner(new BufferedReader(new InputStreamReader(System.in)));\n out = new PrintWriter(System.out);\n new LogicalExpression().solve();\n out.close();\n }\n \n static FastScanner in;\n static PrintWriter out;\n \n static class FastScanner {\n BufferedReader in;\n StringTokenizer st;\n \n public FastScanner(BufferedReader in) {\n this.in = in;\n }\n \n public String nextToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(in.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n \n public int nextInt() {\n return Integer.parseInt(nextToken());\n }\n \n public long nextLong() {\n return Long.parseLong(nextToken());\n }\n \n public double nextDouble() {\n return Double.parseDouble(nextToken());\n }\n }\n}\n",
"python": "t = input()\nans = ['!x&x', 'x&y&z', '!z&x&y', 'x&y', '!y&x&z', 'x&z', '!y&x&z|!z&x&y', '(y|z)&x', '!y&!z&x', '!y&!z&x|x&y&z', '!z&x', '!z&x|x&y', '!y&x', '!y&x|x&z', '!(y&z)&x', 'x', '!x&y&z', 'y&z', '!x&y&z|!z&x&y', '(x|z)&y', '!x&y&z|!y&x&z', '(x|y)&z', '!x&y&z|!y&x&z|!z&x&y', '(x|y)&z|x&y', '!x&y&z|!y&!z&x', '!y&!z&x|y&z', '!x&y&z|!z&x', '!z&x|y&z', '!x&y&z|!y&x', '!y&x|y&z', '!(y&z)&x|!x&y&z', 'x|y&z', '!x&!z&y', '!x&!z&y|x&y&z', '!z&y', '!z&y|x&y', '!x&!z&y|!y&x&z', '!x&!z&y|x&z', '!y&x&z|!z&y', '!z&y|x&z', '!(!x&!y|x&y|z)', '!(!x&!y|x&y|z)|x&y&z', '!z&(x|y)', '!z&(x|y)|x&y', '!x&!z&y|!y&x', '!x&!z&y|!y&x|x&z', '!y&x|!z&y', '!z&y|x', '!x&y', '!x&y|y&z', '!(x&z)&y', 'y', '!x&y|!y&x&z', '!x&y|x&z', '!(x&z)&y|!y&x&z', 'x&z|y', '!x&y|!y&!z&x', '!x&y|!y&!z&x|y&z', '!x&y|!z&x', '!z&x|y', '!x&y|!y&x', '!x&y|!y&x|x&z', '!(x&z)&y|!y&x', 'x|y', '!x&!y&z', '!x&!y&z|x&y&z', '!x&!y&z|!z&x&y', '!x&!y&z|x&y', '!y&z', '!y&z|x&z', '!y&z|!z&x&y', '!y&z|x&y', '!(!x&!z|x&z|y)', '!(!x&!z|x&z|y)|x&y&z', '!x&!y&z|!z&x', '!x&!y&z|!z&x|x&y', '!y&(x|z)', '!y&(x|z)|x&z', '!y&z|!z&x', '!y&z|x', '!x&z', '!x&z|y&z', '!x&z|!z&x&y', '!x&z|x&y', '!(x&y)&z', 'z', '!(x&y)&z|!z&x&y', 'x&y|z', '!x&z|!y&!z&x', '!x&z|!y&!z&x|y&z', '!x&z|!z&x', '!x&z|!z&x|x&y', '!x&z|!y&x', '!y&x|z', '!(x&y)&z|!z&x', 'x|z', '!(!y&!z|x|y&z)', '!(!y&!z|x|y&z)|x&y&z', '!x&!y&z|!z&y', '!x&!y&z|!z&y|x&y', '!x&!z&y|!y&z', '!x&!z&y|!y&z|x&z', '!y&z|!z&y', '!y&z|!z&y|x&y', '!(!x&!y|x&y|z)|!x&!y&z', '!(!x&!y|x&y|z)|!x&!y&z|x&y&z', '!x&!y&z|!z&(x|y)', '!x&!y&z|!z&(x|y)|x&y', '!x&!z&y|!y&(x|z)', '!x&!z&y|!y&(x|z)|x&z', '!y&(x|z)|!z&y', '!y&z|!z&y|x', '!x&(y|z)', '!x&(y|z)|y&z', '!x&z|!z&y', '!x&z|y', '!x&y|!y&z', '!x&y|z', '!(x&y)&z|!z&y', 'y|z', '!x&(y|z)|!y&!z&x', '!x&(y|z)|!y&!z&x|y&z', '!x&(y|z)|!z&x', '!x&z|!z&x|y', '!x&(y|z)|!y&x', '!x&y|!y&x|z', '!x&y|!y&z|!z&x', 'x|y|z', '!(x|y|z)', '!(x|y|z)|x&y&z', '!(!x&y|!y&x|z)', '!(x|y|z)|x&y', '!(!x&z|!z&x|y)', '!(x|y|z)|x&z', '!(!x&y|!y&x|z)|!y&x&z', '!(x|y|z)|(y|z)&x', '!y&!z', '!y&!z|x&y&z', '!(!x&y|z)', '!y&!z|x&y', '!(!x&z|y)', '!y&!z|x&z', '!(!x&y|z)|!y&x', '!y&!z|x', '!(!y&z|!z&y|x)', '!(x|y|z)|y&z', '!(!x&y|!y&x|z)|!x&y&z', '!(x|y|z)|(x|z)&y', '!(!x&z|!z&x|y)|!x&y&z', '!(x|y|z)|(x|y)&z', '!(!x&y|!y&x|z)|!x&y&z|!y&x&z', '!(x|y|z)|(x|y)&z|x&y', '!x&y&z|!y&!z', '!y&!z|y&z', '!(!x&y|z)|!x&y&z', '!(!x&y|z)|y&z', '!(!x&z|y)|!x&y&z', '!(!x&z|y)|y&z', '!(!x&y|z)|!x&y&z|!y&x', '!y&!z|x|y&z', '!x&!z', '!x&!z|x&y&z', '!(!y&x|z)', '!x&!z|x&y', '!x&!z|!y&x&z', '!x&!z|x&z', '!(!y&x|z)|!y&x&z', '!(!y&x|z)|x&z', '!(x&y|z)', '!(x&y|z)|x&y&z', '!z', '!z|x&y', '!x&!z|!y&x', '!(x&y|z)|x&z', '!y&x|!z', '!z|x', '!(!y&z|x)', '!x&!z|y&z', '!(!y&x|z)|!x&y', '!x&!z|y', '!(!y&z|x)|!y&x&z', '!(!y&z|x)|x&z', '!(!y&x|z)|!x&y|!y&x&z', '!x&!z|x&z|y', '!x&y|!y&!z', '!(x&y|z)|y&z', '!x&y|!z', '!z|y', '!(!x&!y&z|x&y)', '!x&!z|!y&x|y&z', '!x&y|!y&x|!z', '!z|x|y', '!x&!y', '!x&!y|x&y&z', '!x&!y|!z&x&y', '!x&!y|x&y', '!(!z&x|y)', '!x&!y|x&z', '!(!z&x|y)|!z&x&y', '!(!z&x|y)|x&y', '!(x&z|y)', '!(x&z|y)|x&y&z', '!x&!y|!z&x', '!(x&z|y)|x&y', '!y', '!y|x&z', '!y|!z&x', '!y|x', '!(!z&y|x)', '!x&!y|y&z', '!(!z&y|x)|!z&x&y', '!(!z&y|x)|x&y', '!(!z&x|y)|!x&z', '!x&!y|z', '!(!z&x|y)|!x&z|!z&x&y', '!x&!y|x&y|z', '!x&z|!y&!z', '!(x&z|y)|y&z', '!(!x&!z&y|x&z)', '!x&!y|!z&x|y&z', '!x&z|!y', '!y|z', '!x&z|!y|!z&x', '!y|x|z', '!(x|y&z)', '!(x|y&z)|x&y&z', '!x&!y|!z&y', '!(x|y&z)|x&y', '!x&!z|!y&z', '!(x|y&z)|x&z', '!(!y&!z&x|y&z)', '!x&!y|!z&y|x&z', '!((x|y)&z|x&y)', '!((x|y)&z|x&y)|x&y&z', '!x&!y|!z', '!x&!y|!z|x&y', '!x&!z|!y', '!x&!z|!y|x&z', '!y|!z', '!y|!z|x', '!x', '!x|y&z', '!x|!z&y', '!x|y', '!x|!y&z', '!x|z', '!x|!y&z|!z&y', '!x|y|z', '!x|!y&!z', '!x|!y&!z|y&z', '!x|!z', '!x|!z|y', '!x|!y', '!x|!y|z', '!(x&y&z)', '!x|x']\nfor tt in range(t):\n\ts = raw_input()\n\tprint ans[eval('0b' + s)]"
}
|
|
|
# Fafa and Ancient Mathematics
Ancient Egyptians are known to have understood difficult concepts in mathematics. The ancient Egyptian mathematician Ahmes liked to write a kind of arithmetic expressions on papyrus paper which he called as Ahmes arithmetic expression.
An Ahmes arithmetic expression can be defined as:
* "d" is an Ahmes arithmetic expression, where d is a one-digit positive integer;
* "(E1 op E2)" is an Ahmes arithmetic expression, where E1 and E2 are valid Ahmes arithmetic expressions (without spaces) and op is either plus ( + ) or minus ( - ).
For example 5, (1-1) and ((1+(2-3))-5) are valid Ahmes arithmetic expressions.
On his trip to Egypt, Fafa found a piece of papyrus paper having one of these Ahmes arithmetic expressions written on it. Being very ancient, the papyrus piece was very worn out. As a result, all the operators were erased, keeping only the numbers and the brackets. Since Fafa loves mathematics, he decided to challenge himself with the following task:
Given the number of plus and minus operators in the original expression, find out the maximum possible value for the expression on the papyrus paper after putting the plus and minus operators in the place of the original erased operators.
Input
The first line contains a string E (1 ≤ |E| ≤ 104) — a valid Ahmes arithmetic expression. All operators are erased and replaced with '?'.
The second line contains two space-separated integers P and M (0 ≤ min(P, M) ≤ 100) — the number of plus and minus operators, respectively.
It is guaranteed that P + M = the number of erased operators.
Output
Print one line containing the answer to the problem.
Examples
Input
(1?1)
1 0
Output
2
Input
(2?(1?2))
1 1
Output
1
Input
((1?(5?7))?((6?2)?7))
3 2
Output
18
Input
((1?(5?7))?((6?2)?7))
2 3
Output
16
Note
* The first sample will be (1 + 1) = 2.
* The second sample will be (2 + (1 - 2)) = 1.
* The third sample will be ((1 - (5 - 7)) + ((6 + 2) + 7)) = 18.
* The fourth sample will be ((1 + (5 + 7)) - ((6 - 2) - 7)) = 16.
|
[
{
"input": {
"stdin": "((1?(5?7))?((6?2)?7))\n3 2\n"
},
"output": {
"stdout": "18"
}
},
{
"input": {
"stdin": "(1?1)\n1 0\n"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "((1?(5?7))?((6?2)?7))\n2 3\n"
},
"output": {
"stdout": "16"
}
},
{
"input": {
"stdin": "(2?(1?2))\n1 1\n"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "(((6?((2?(9?(3?(2?((3?((1?(1?(6?(9?(((6?((3?(((((6?(1?(1?((((2?(1?(1?((6?(6?(4?(8?((9?(((7?((5?(9?(3?((((7?((9?(4?(8?(((((9?(1?(((8?(6?(6?((5?(((5?(7?((((1?((1?(4?((7?(8?(((3?((((4?((((((1?((3?((5?1)?9))?3))?9)?7)?7)?2)?8))?9)?1)?6))?9)?2)))?6)))?7))?4)?1)?1)))?6)?1))?9))))?8)?7)))?9)?3)?7)?7))))?1))?9)?6)?1))))?2))?2)?6))?6)))))?4))))?2)?3)?8))))?9)?1)?3)?1))?3))?9)?4)))))?2))?7)))))?4))?1)?7)\n50 49\n"
},
"output": {
"stdout": "422"
}
},
{
"input": {
"stdin": "8\n0 0\n"
},
"output": {
"stdout": "8"
}
},
{
"input": {
"stdin": "(((4?7)?(9?((6?(3?2))?((6?3)?7))))?((5?((7?(7?(8?3)))?(4?2)))?2))\n16 0\n"
},
"output": {
"stdout": "85"
}
},
{
"input": {
"stdin": "((4?3)?(((2?(4?((4?((2?(3?(7?3)))?(((((3?(6?2))?3)?(((((6?6)?(1?5))?((8?8)?1))?(5?((7?((6?((((3?8)?8)?(8?5))?7))?8))?((8?(2?8))?3))))?6))?(8?(7?5)))?8)))?((((7?(4?3))?4)?5)?((1?(((2?2)?((((4?((7?6)?(1?4)))?(8?(1?(((1?3)?(((2?2)?(3?(8?(9?((2?(4?6))?(7?8))))))?(9?(7?9))))?(7?3)))))?((2?((2?((8?6)?1))?(3?1)))?(7?1)))?5))?((((6?(9?(((5?4)?7)?((5?8)?8))))?5)?7)?(2?2))))?4)))))?2)?(7?(4?((6?6)?6)))))\n50 49\n"
},
"output": {
"stdout": "423"
}
},
{
"input": {
"stdin": "((((4?6)?9)?((5?(7?1))?(6?(4?(((((((7?3)?7)?(((((8?(6?7))?((1?2)?(5?8)))?8)?7)?4))?6)?7)?1)?((7?(2?((1?(((8?(((((2?7)?(((((3?6)?3)?(((((9?5)?7)?(1?(5?5)))?(8?((3?(1?2))?((8?5)?(7?((9?((9?8)?7))?1))))))?1))?1)?(9?2)))?((7?5)?((9?(4?(9?6)))?(8?(((5?7)?2)?(6?(3?8)))))))?(((4?(2?2))?(7?9))?((7?((((4?(3?(7?3)))?8)?3)?(5?(((9?2)?(9?((((2?(7?3))?(3?(1?(9?(6?(9?8))))))?2)?2)))?2))))?((9?((2?(2?3))?((9?((7?4)?1))?5)))?((((9?6)?3)?(4?1))?7)))))?5))?4)?4))?7)))?5))))))?1)\n2 114\n"
},
"output": {
"stdout": "86"
}
},
{
"input": {
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] |
{
"tags": [
"dfs and similar",
"dp",
"trees"
],
"title": "Fafa and Ancient Mathematics"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int INF = 2e9, N = 10010;\nconst double eps = 1e-8;\ninline void read(int &x) {\n x = 0;\n int f = 1;\n char ch = getchar();\n while ((ch < '0' || ch > '9') && ch != '-') ch = getchar();\n if (ch == '-') {\n f = -1;\n ch = getchar();\n }\n while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar();\n x *= f;\n}\nint n, p, s;\nchar ch[N];\nbool flag = 0;\nint mi = 0;\nstack<int> sta;\nint ne[N];\nint f[N][110][2];\nint tmp[110][2];\nint dfs(int u) {\n int nex = 0, OP = 0, op = 0;\n for (int i = u + 1; i < ne[u]; i = nex + 1) {\n if (ch[i] == '(') {\n op = dfs(i);\n nex = ne[i] + 1;\n } else {\n nex = i + 1;\n f[i][0][0] = f[i][0][1] = ch[i] - '0';\n op = 0;\n }\n if (i == u + 1) {\n OP += op;\n for (int j = 0; j <= mi; j++) {\n f[u][j][1] = f[i][j][1];\n f[u][j][0] = f[i][j][0];\n }\n } else {\n OP += op + 1;\n for (int j = 0; j <= min(mi, OP); j++) {\n tmp[j][1] = f[u][j][1];\n f[u][j][1] = -INF;\n tmp[j][0] = f[u][j][0];\n f[u][j][0] = INF;\n }\n for (int j = 0; j <= min(mi, OP); j++)\n for (int k = 0; k <= j; k++)\n if (!flag) {\n if (j - k <= op) {\n f[u][j][1] = max(f[u][j][1], tmp[k][1] + f[i][j - k][1]);\n f[u][j][0] = min(f[u][j][0], tmp[k][0] + f[i][j - k][0]);\n }\n if (j - k - 1 >= 0 && j - k - 1 <= op) {\n f[u][j][0] = min(f[u][j][0], tmp[k][0] - f[i][j - k - 1][1]);\n f[u][j][1] = max(f[u][j][1], tmp[k][1] - f[i][j - k - 1][0]);\n }\n } else {\n if (j - k <= op) {\n f[u][j][0] = min(f[u][j][0], tmp[k][0] - f[i][j - k][1]);\n f[u][j][1] = max(f[u][j][1], tmp[k][1] - f[i][j - k][0]);\n }\n if (j - k - 1 >= 0 && j - k - 1 <= op) {\n f[u][j][1] = max(f[u][j][1], tmp[k][1] + f[i][j - k - 1][1]);\n f[u][j][0] = min(f[u][j][0], tmp[k][0] + f[i][j - k - 1][0]);\n }\n }\n }\n }\n return OP;\n}\nint main() {\n scanf(\"%s\", ch + 1);\n n = strlen(ch + 1);\n read(p);\n read(s);\n if (n == 1) {\n printf(\"%d\\n\", ch[1] - '0');\n return 0;\n }\n for (int i = 1; i <= n; i++) {\n if (ch[i] == '(') {\n sta.push(i);\n } else if (ch[i] == ')') {\n ne[sta.top()] = i;\n sta.pop();\n }\n }\n flag = (p <= s);\n mi = min(p, s);\n for (int i = 1; i <= n; i++)\n for (int j = 0; j <= mi; j++) {\n f[i][j][0] = INF;\n f[i][j][1] = -INF;\n }\n dfs(1);\n printf(\"%d\\n\", f[1][mi][1]);\n return 0;\n}\n",
"java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.util.StringTokenizer;\nimport java.io.BufferedReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n MyScan in = new MyScan(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n TaskE solver = new TaskE();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskE {\n public void solve(int testNumber, MyScan in, PrintWriter out) {\n String s = in.next();\n\n TaskE.Z x = parse(s);\n int pl = in.nextInt();\n int mm = in.nextInt();\n if (pl < mm) {\n x.ct(0);\n out.println(x.max(pl));\n } else {\n x.ct(1);\n out.println(x.max(mm));\n }\n\n\n }\n\n private TaskE.Z parse(String s) {\n if (s.startsWith(\"(\")) {\n\n int x = 0;\n for (int t = 1; t < s.length(); t++) {\n if (s.charAt(t) == '(') x++;\n if (s.charAt(t) == ')') x--;\n if (s.charAt(t) == '?' && x == 0) {\n return new TaskE.X(parse(s.substring(1, t)), parse(s.substring(t + 1, s.length() - 1)));\n }\n }\n\n } else {\n return new TaskE.Y(s);\n }\n return null;\n }\n\n private static class X implements TaskE.Z {\n int pl = 0;\n long[] max;\n long[] min;\n TaskE.Z p1;\n TaskE.Z p2;\n\n public X(TaskE.Z p1, TaskE.Z p2) {\n this.p1 = p1;\n this.p2 = p2;\n }\n\n\n public void ct(int i) {\n p1.ct(i);\n p2.ct(i);\n pl = Math.min(1 + p1.pl() + p2.pl(), 102);\n if (i == 0) {\n max = new long[pl + 1];\n min = new long[pl + 1];\n Arrays.fill(max, Long.MIN_VALUE);\n Arrays.fill(min, Long.MAX_VALUE);\n\n for (int s = 1; s < pl + 1; s++) {\n for (int t = 0; t <= Math.min(s - 1, p1.pl()); t++) {\n if (s - t - 1 > p2.pl()) continue;\n max[s] = Math.max(max[s], p1.max(t) + p2.max(s - t - 1));\n min[s] = Math.min(min[s], p1.min(t) + p2.min(s - t - 1));\n }\n }\n for (int s = 0; s < pl; s++) {\n for (int t = 0; t <= Math.min(s, p1.pl()); t++) {\n if (s - t > p2.pl()) continue;\n max[s] = Math.max(max[s], p1.max(t) - p2.min(s - t));\n min[s] = Math.min(min[s], p1.min(t) - p2.max(s - t));\n }\n }\n } else {\n max = new long[pl + 1];\n min = new long[pl + 1];\n Arrays.fill(max, Long.MIN_VALUE);\n Arrays.fill(min, Long.MAX_VALUE);\n\n for (int s = 1; s < pl + 1; s++) {\n for (int t = 0; t <= Math.min(s - 1, p1.pl()); t++) {\n if (s - t - 1 > p2.pl()) continue;\n max[s] = Math.max(max[s], p1.max(t) - p2.min(s - t - 1));\n min[s] = Math.min(min[s], p1.min(t) - p2.max(s - t - 1));\n }\n }\n for (int s = 0; s < pl; s++) {\n for (int t = 0; t <= Math.min(s, p1.pl()); t++) {\n if (s - t > p2.pl()) continue;\n max[s] = Math.max(max[s], p1.max(t) + p2.max(s - t));\n min[s] = Math.min(min[s], p1.min(t) + p2.min(s - t));\n }\n }\n }\n\n\n }\n\n public long max(int s1) {\n return max[s1];\n }\n\n public long min(int s1) {\n return min[s1];\n }\n\n\n public int pl() {\n return pl;\n }\n\n }\n\n private interface Z {\n void ct(int i);\n\n long max(int i);\n\n long min(int i);\n\n int pl();\n\n }\n\n private static class Y implements TaskE.Z {\n private final int v;\n\n public Y(String s) {\n v = Integer.parseInt(s);\n }\n\n\n public void ct(int i) {\n\n }\n\n\n public long max(int i) {\n return v;\n }\n\n\n public long min(int i) {\n return v;\n }\n\n\n public int pl() {\n return 0;\n }\n\n }\n\n }\n\n static class MyScan {\n BufferedReader br;\n StringTokenizer st;\n\n MyScan(BufferedReader br) {\n this.br = br;\n }\n\n public MyScan(InputStream in) {\n this(new BufferedReader(new InputStreamReader(in)));\n }\n\n public void findToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n }\n\n public String next() {\n findToken();\n return st.nextToken();\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n}\n\n",
"python": "from math import inf\n\nclass Node:\n def __init__(self, parent = None, leftExp = None, rightExp = None, signQ = 0):\n self.parent, self.leftExp, self.rightExp, self.signQ = parent, leftExp, rightExp, signQ\n def __str__(self):\n return \"Node\"\n\nmemo = {}\n\ndef Memoize(node, p, maxValue, minValue):\n if not node in memo:\n memo.update({node : {p : [maxValue, minValue]} })\n else:\n memo[node].update({p : [maxValue, minValue]})\n\ndef ExpMaxValue(root: Node, p):\n\n m = root.signQ - p\n \"\"\"if root.signQ == 1:\n if p == 1:\n return [root.leftExp.value + root.rightExp.value, root.leftExp.value + root.rightExp.value]\n else:\n return [root.leftExp.value - root.rightExp.value, root.leftExp.value - root.rightExp.value]\"\"\"\n\n if root.signQ == 0:\n return [root.value, root.value]\n \n if root in memo:\n if p in memo[root]:\n return memo[root][p]\n\n if m == 0:\n value = ExpMaxValue(root.leftExp, root.leftExp.signQ)[0] + ExpMaxValue(root.rightExp, root.rightExp.signQ)[0]\n Memoize(root, p, value, value)\n return [value, value]\n if p == 0:\n value = ExpMaxValue(root.leftExp, 0)[0] - ExpMaxValue(root.rightExp, 0)[0]\n Memoize(root, p, value, value)\n return [value, value]\n \n maxValue = -inf\n minValue = inf\n if m >= p:\n for pQMid in range(2):\n pQLeftMin = min(p - pQMid, root.leftExp.signQ)\n for pQLeft in range(pQLeftMin + 1):\n if root.leftExp.signQ - pQLeft + (1 - pQMid) > m:\n continue\n \n resLeft = ExpMaxValue(root.leftExp, pQLeft)\n resRight = ExpMaxValue(root.rightExp, p - pQMid - pQLeft)\n \n if pQMid == 1:\n maxValue = max(resLeft[0] + resRight[0], maxValue)\n minValue = min(resLeft[1] + resRight[1], minValue)\n else:\n maxValue = max(resLeft[0] - resRight[1], maxValue)\n minValue = min(resLeft[1] - resRight[0], minValue)\n else:\n for mQMid in range(2):\n mQLeftMin = min(m - mQMid, root.leftExp.signQ)\n for mQLeft in range(mQLeftMin + 1):\n pQLeft = root.leftExp.signQ - mQLeft\n if pQLeft + (1 - mQMid) > p:\n continue\n \n resLeft = ExpMaxValue(root.leftExp, pQLeft)\n resRight = ExpMaxValue(root.rightExp, p - (1 - mQMid) - pQLeft)\n \n if mQMid == 0:\n maxValue = max(resLeft[0] + resRight[0], maxValue)\n minValue = min(resLeft[1] + resRight[1], minValue)\n else:\n maxValue = max(resLeft[0] - resRight[1], maxValue)\n minValue = min(resLeft[1] - resRight[0], minValue)\n\n Memoize(root, p, int(maxValue), int(minValue))\n\n return [int(maxValue), int(minValue)]\n \n \n\ndef PrintNodes(root: Node):\n if root.signQ != 0:\n leftExp = root.leftExp if root.leftExp.signQ != 0 else root.leftExp.value\n rightExp = root.rightExp if root.rightExp.signQ != 0 else root.rightExp.value\n check = root.signQ == root.leftExp.signQ + root.rightExp.signQ + 1\n print(root.signQ, root.parent, leftExp, rightExp, check)\n PrintNodes(root.leftExp)\n PrintNodes(root.rightExp)\n\n \n\ndef main():\n exp = str(input())\n if len(exp) == 1:\n print(exp)\n return\n \n #root = Node(None, None, None)\n #root.parent = root\n cNode = Node()\n isRight = False\n \n for i in range(1, len(exp) - 1):\n if exp[i] == '(':\n if not isRight:\n cNode.leftExp = Node(cNode)\n cNode = cNode.leftExp\n else:\n cNode.rightExp = Node(cNode)\n cNode = cNode.rightExp\n isRight = False\n elif exp[i] == '?':\n isRight = True\n cNode.signQ += 1\n elif exp[i] == ')':\n if cNode.parent != None:\n cNode.parent.signQ += cNode.signQ\n cNode = cNode.parent\n isRight = False\n else:\n if not isRight:\n cNode.leftExp = Node(cNode)\n cNode.leftExp.value = int(exp[i])\n else:\n cNode.rightExp = Node(cNode)\n cNode.rightExp.value = int(exp[i])\n\n \n #PrintNodes(cNode)\n\n ss = str(input()).split()\n p, m = int(ss[0]), int(ss[1])\n\n print(ExpMaxValue(cNode, p)[0])\n \n\n\n \n\nmain()"
}
|
|
|
# Pair Of Lines
You are given n points on Cartesian plane. Every point is a lattice point (i. e. both of its coordinates are integers), and all points are distinct.
You may draw two straight lines (not necessarily distinct). Is it possible to do this in such a way that every point lies on at least one of these lines?
Input
The first line contains one integer n (1 ≤ n ≤ 105) — the number of points you are given.
Then n lines follow, each line containing two integers xi and yi (|xi|, |yi| ≤ 109)— coordinates of i-th point. All n points are distinct.
Output
If it is possible to draw two straight lines in such a way that each of given points belongs to at least one of these lines, print YES. Otherwise, print NO.
Examples
Input
5
0 0
0 1
1 1
1 -1
2 2
Output
YES
Input
5
0 0
1 0
2 1
1 1
2 3
Output
NO
Note
In the first example it is possible to draw two lines, the one containing the points 1, 3 and 5, and another one containing two remaining points.
<image>
|
[
{
"input": {
"stdin": "5\n0 0\n0 1\n1 1\n1 -1\n2 2\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n1 0\n2 1\n1 1\n2 3\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n0 0\n2 0\n1 1\n0 2\n5 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n-1 0\n-1 1\n1 0\n1 -1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "8\n0 0\n1 0\n2 0\n3 0\n0 1\n1 1\n2 1\n3 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "11\n-2 -2\n2 3\n3 -2\n1 -2\n2 -2\n2 0\n2 2\n-3 -2\n-1 -2\n2 -3\n2 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n1 0\n0 1\n1 1\n-1 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "9\n-65536 65536\n0 65536\n65536 65536\n-65536 0\n0 0\n65536 0\n-65536 -65536\n0 -65536\n65536 -65536\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n1 1\n-1 0\n0 1\n-1 1\n0 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n0 0\n-1 1\n-1 -1\n1 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n3 3\n6 3\n0 0\n10 0\n-10 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n-10 3\n4 -5\n-9 5\n-5 -3\n-4 -6\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n0 0\n0 1\n100 100\n100 99\n100 98\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n1000000000 1000000000\n999999999 999999999\n999999999 999999998\n-1000000000 1000000000\n-1000000000 999999999\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n-1 -1\n-1 -2\n-1 -3\n1000000000 1\n-1000000000 0\n999999999 1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n514 2131\n312 52362\n1 1\n2 2\n3 3\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n0 0\n0 1\n0 2\n5 0\n5 1\n5 -1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n1 1\n0 0\n-1 -1\n1 0\n0 -1\n-1 -10\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "7\n1 -1\n3 -3\n1 2\n0 -2\n1 -3\n0 1\n0 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n-1000000000 -1000000000\n134903170 -298591267\n-566505563 -732085704\n-298591267 -566505563\n-133011126 -464171408\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n3 0\n4 1\n0 0\n1 1\n2 2\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "10\n0 0\n1 0\n0 1\n0 2\n2 0\n3 0\n0 3\n0 4\n4 0\n0 -10000000\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n0 0\n1 0\n0 1\n1 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n2 9\n-1 -4\n-3 -8\n-4 8\n7 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 0\n0 1\n-1 1\n0 -1\n1 0\n-1 -1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 0\n-1 1\n-1 0\n1 1\n-1 -1\n0 -1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 0\n165580141 267914296\n331160282 535828592\n267914296 433494437\n535828592 866988874\n433494437 701408733\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "7\n0 0\n2 2\n2 -2\n-2 2\n-2 -2\n0 1\n0 3\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n-999999998 -999999998\n229254612 -608716103\n-588442011 -868997022\n-182303375 -739719079\n-176884024 -737994046\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "4\n0 0\n0 1\n1 0\n1 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n0 0\n0 1\n0 2\n1 1\n1 2\n2 1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "7\n0 0\n4 0\n1 1\n2 2\n3 1\n5 1\n6 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 -1\n1 -1\n3 3\n2 0\n-2 -2\n1 -2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "8\n0 0\n1 0\n2 1\n1 1\n0 1\n6 0\n5 0\n7 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 -7\n0 10000\n1 1000000000\n100 0\n200 0\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "12\n0 0\n1 1\n2 2\n3 3\n10 11\n20 11\n30 11\n40 11\n-1 1\n-2 2\n-3 3\n-4 4\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n1 1\n2 2\n3 2\n4 1\n5 2\n6 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n-1 -1\n-1 -2\n-1 -3\n1000000000 1\n999999999 1\n-1000000000 0\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n-1 1\n1 0\n1 1\n1 -1\n-1 -1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n8 8\n3303829 10\n10 1308\n4 2\n6 3\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n-1 -1\n-1 -2\n-1 -3\n0 0\n65536 65536\n65536 131072\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n-65536 -65536\n65536 0\n131072 0\n0 65536\n0 131072\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n2 -1\n-4 1\n0 -9\n5 -9\n9 -10\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 0\n0 1\n0 -1\n1 1\n1 -1\n2 -1\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n1 1\n0 0\n-1 0\n0 1\n1 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n-1 2\n-1 1\n2 1\n-2 2\n1 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n0 1\n0 2\n0 3\n1 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n10000000 40000100\n3 112\n2 400000100\n1 104\n1000000 701789036\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "3\n-1 1\n-1 -1\n0 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n6 1\n10 5\n10 -2\n-2 -10\n-4 -9\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "1\n0 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n-1 -1\n0 -1\n-1 1\n-1 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "59\n1 0\n0 2\n0 3\n0 4\n0 5\n6 0\n7 0\n8 0\n9 0\n10 0\n0 11\n12 0\n13 0\n14 0\n15 0\n0 16\n0 17\n18 0\n19 0\n20 0\n21 0\n0 22\n23 0\n24 0\n0 25\n26 0\n27 0\n0 28\n0 29\n30 0\n31 0\n0 32\n33 0\n34 0\n0 35\n0 36\n37 0\n0 38\n39 0\n40 0\n0 41\n42 0\n0 43\n0 44\n0 45\n0 46\n47 0\n0 48\n0 49\n50 0\n0 51\n0 52\n53 0\n0 54\n55 0\n0 56\n57 0\n0 58\n59 0\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n0 0\n1 1\n0 1\n1 0\n0 2\n2 0\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "1\n-1000000000 1000000000\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n-1000000000 -1000000000\n134903170 -298591267\n-566505563 -732085704\n-298591267 -566505563\n-999999999 -999999999\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "10\n416 -473\n-162 491\n-164 488\n-170 479\n-166 485\n-172 476\n416 -475\n416 -474\n-168 482\n-160 494\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n-1000000000 -1000000000\n229254610 -608716105\n-588442013 -868997024\n-182303377 -739719081\n-999999999 -999999999\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n-1000000000 -1000000000\n229254610 -608716105\n-588442013 -868997024\n-182303377 -739719081\n-176884026 -737994048\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "10\n315 202\n315 203\n315 204\n-138 -298\n-136 -295\n-134 -292\n-132 -289\n-130 -286\n-128 -283\n-126 -280\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n165580142 267914296\n331160283 535828592\n267914296 433494437\n535828592 866988874\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n0 0\n-1 1\n-1 0\n0 -1\n-1 -1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "10\n536870912 536870912\n268435456 368435456\n268435456 168435456\n1 3\n2 4\n3 5\n4 6\n5 7\n6 8\n7 9\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n0 0\n1 1\n0 -2\n1 -1\n1 2\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "5\n-1000000000 -1000000000\n-588442013 -868997024\n-182303377 -739719081\n-999999999 -999999999\n229254610 -608716105\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "5\n1 -1\n0 0\n0 1\n-1 1\n1 1\n"
},
"output": {
"stdout": "YES\n"
}
},
{
"input": {
"stdin": "6\n0 0\n2 0\n0 2\n0 -2\n-2 1\n-4 2\n"
},
"output": {
"stdout": "NO\n"
}
},
{
"input": {
"stdin": "6\n0 0\n1 0\n2 1\n1 1\n0 1\n6 0\n"
},
"output": {
"stdout": "YES\n"
}
}
] |
{
"tags": [
"geometry"
],
"title": "Pair Of Lines"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstruct point {\n long long x, y;\n};\nstruct line {\n long long a, b, c;\n};\nline calculate_line(point a, point b) {\n line result;\n result.a = a.y - b.y;\n result.b = b.x - a.x;\n result.c = a.x * b.y - a.y * b.x;\n return result;\n}\nbool same_line(line& l, point p) { return (l.a * p.x + l.b * p.y + l.c == 0); }\nbool one_line(vector<point>::iterator begin, vector<point>::iterator end) {\n line hip_line = calculate_line(*begin, *(begin + 1));\n for (; begin != end; ++begin) {\n if (!same_line(hip_line, *begin)) return false;\n }\n return true;\n}\nbool is_fine(line& l, point* points, int n) {\n vector<point> fallen;\n for (int i = 0; i < n; ++i) {\n if (!same_line(l, points[i])) fallen.push_back(points[i]);\n }\n if (fallen.size() <= 2) return true;\n return one_line(fallen.begin(), fallen.end());\n}\nint main() {\n int n;\n cin >> n;\n if (n <= 4) {\n cout << \"YES\" << endl;\n return 0;\n }\n point* points = new point[n];\n for (int i = 0; i < n; ++i) {\n cin >> points[i].x >> points[i].y;\n }\n line hip1, hip2, hip3;\n hip1 = calculate_line(points[0], points[1]);\n hip2 = calculate_line(points[0], points[2]);\n hip3 = calculate_line(points[2], points[1]);\n if (is_fine(hip1, points, n) || is_fine(hip2, points, n) ||\n is_fine(hip3, points, n))\n cout << \"YES\" << endl;\n else\n cout << \"NO\" << endl;\n return 0;\n}\n",
"java": "import java.util.Scanner;\n\npublic class Solution {\n static class Point {\n final int x, y;\n\n Point(int x, int y) {\n this.x = x;\n this.y = y;\n }\n }\n\n static boolean aligned(Point a, Point b, Point c) {\n return (long) (b.x - a.x) * (c.y - b.y) == (long) (b.y - a.y) * (c.x - b.x);\n }\n\n static boolean twoLines(int n, Point[] a) {\n if (n < 5) return true;\n Point[] incline1 = new Point[2];\n boolean found = false;\n for (int i = 0; i < 3 && !found; i++)\n for (int j = i + 1; j < 4; j++) {\n for (int k = j + 1; k < 5; k++)\n if (aligned(a[i], a[j], a[k])) {\n found = true;\n break;\n }\n if (found) {\n incline1[0] = a[i];\n incline1[1] = a[j];\n break;\n }\n }\n if (!found) return false;\n Point[] incline2 = new Point[2];\n int secondLineCount = 0;\n for (int i = 0; i < n; i++)\n if (!aligned(incline1[0], incline1[1], a[i])) {\n if (secondLineCount == 2) {\n if (!aligned(incline2[0], incline2[1], a[i])) return false;\n } else {\n incline2[secondLineCount++] = a[i];\n }\n }\n return true;\n }\n\n public static void main(String[] args) {\n Scanner in = new Scanner(System.in);\n int n = in.nextInt();\n Point[] a = new Point[n];\n for (int i = 0; i < n; i++) a[i] = new Point(in.nextInt(), in.nextInt());\n System.out.println(twoLines(n, a) ? \"YES\" : \"NO\");\n }\n}\n",
"python": "n = int(input())\nx = [0] * n\ny = [0] * n\nfor i in range(n):\n xi, yi = map(int, input().split())\n x[i], y[i] = xi, yi\n\nif n <= 4:\n print(\"YES\"); exit()\n\nl = lambda i, j, k : (y[i] - y[j]) * (x[i] - x[k]) == (y[i] - y[k]) * (x[i] - x[j])\n\ndef check(ind):\n if len(ind) <= 2:\n return True\n for k in range(2, len(ind)):\n if not l(ind[0], ind[1], ind[k]):\n return False\n return True\n\ndef diff(i, j):\n return [_ for _ in range(n) if not l(i, j, _)]\n \ndf = diff(0, 1)\n\nif check(df):\n print(\"YES\"); exit()\nf = df[0]\n\ndf2 = diff(0, f)\nif check(df2):\n print(\"YES\"); exit()\n\ndf3 = diff(1, f)\nif check(df3):\n print(\"YES\"); exit()\n\nprint(\"NO\")\n \n\n \n\n"
}
|
|
|
# A Mist of Florescence
As the boat drifts down the river, a wood full of blossoms shows up on the riverfront.
"I've been here once," Mino exclaims with delight, "it's breathtakingly amazing."
"What is it like?"
"Look, Kanno, you've got your paintbrush, and I've got my words. Have a try, shall we?"
There are four kinds of flowers in the wood, Amaranths, Begonias, Centaureas and Dianthuses.
The wood can be represented by a rectangular grid of n rows and m columns. In each cell of the grid, there is exactly one type of flowers.
According to Mino, the numbers of connected components formed by each kind of flowers are a, b, c and d respectively. Two cells are considered in the same connected component if and only if a path exists between them that moves between cells sharing common edges and passes only through cells containing the same flowers.
You are to help Kanno depict such a grid of flowers, with n and m arbitrarily chosen under the constraints given below. It can be shown that at least one solution exists under the constraints of this problem.
Note that you can choose arbitrary n and m under the constraints below, they are not given in the input.
Input
The first and only line of input contains four space-separated integers a, b, c and d (1 ≤ a, b, c, d ≤ 100) — the required number of connected components of Amaranths, Begonias, Centaureas and Dianthuses, respectively.
Output
In the first line, output two space-separated integers n and m (1 ≤ n, m ≤ 50) — the number of rows and the number of columns in the grid respectively.
Then output n lines each consisting of m consecutive English letters, representing one row of the grid. Each letter should be among 'A', 'B', 'C' and 'D', representing Amaranths, Begonias, Centaureas and Dianthuses, respectively.
In case there are multiple solutions, print any. You can output each letter in either case (upper or lower).
Examples
Input
5 3 2 1
Output
4 7
DDDDDDD
DABACAD
DBABACD
DDDDDDD
Input
50 50 1 1
Output
4 50
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
ABABABABABABABABABABABABABABABABABABABABABABABABAB
BABABABABABABABABABABABABABABABABABABABABABABABABA
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Input
1 6 4 5
Output
7 7
DDDDDDD
DDDBDBD
DDCDCDD
DBDADBD
DDCDCDD
DBDBDDD
DDDDDDD
Note
In the first example, each cell of Amaranths, Begonias and Centaureas forms a connected component, while all the Dianthuses form one.
<image>
|
[
{
"input": {
"stdin": "5 3 2 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAACBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCCCCCCCCCCCCCCCCCCCCCCADADADADDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 6 4 5\n"
},
"output": {
"stdout": "50 50\nDADADADAAAAAAAAAAAAAAAAAACBCBCBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCBCBCBCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "50 50 1 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 1 1 2\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "15 63 41 45\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "31 41 59 26\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "100 100 100 100\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCCCCCCCCCCCCCCCCCCCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "19 19 8 10\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "50 50 51 50\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDADDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 6 4 5\n"
},
"output": {
"stdout": "50 50\nDADADADAAAAAAAAAAAAAAAAAACBCBCBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCBCBCBCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "2 5 1 17\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "19 58 20 18\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCCCCCCCCCCCCCCCDADADADADADADDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"stdin": "49 50 50 50\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
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{
"input": {
"stdin": "18 90 64 16\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCCCCCCCCCCCCCCCCCCCDADADADADADDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCCCCCCCCCCCCCCCCCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "1 1 1 50\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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},
{
"input": {
"stdin": "49 49 49 49\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"stdin": "50 50 1 1\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAACBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCCCCCCCCCCCCCCCCCCCCCCADADADADDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
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{
"input": {
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},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAACBCBCBCBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCCCCCCCCCCCCCCCCCCCCCCCCADADADADADDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
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{
"input": {
"stdin": "100 50 100 49\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "45 36 25 13\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "11 4 5 14\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABCBCBCBCBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "4 8 16 32\n"
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
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"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCCCCCCCCCCCCCCCCCCCDADADDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "4 5 3 6\n"
},
"output": {
"stdout": "50 50\nDADADADADAAAAAAAAAAAAAAAACBCBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCBCBCCCCCCCCCCCCCCCCCCADADADDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "1 4 7 3\n"
},
"output": {
"stdout": "50 50\nDADAAAAAAAAAAAAAAAAAAAAAACBCBCBCBCBCBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCBCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "77 88 99 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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},
{
"input": {
"stdin": "5 1 1 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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},
{
"input": {
"stdin": "1 1 3 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAACBCBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 5 6 3\n"
},
"output": {
"stdout": "50 50\nDADAAAAAAAAAAAAAAAAAAAAAACBCBCBCBCBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nBCBCBCBCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "49 55 69 49\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "5 3 1 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "6 2 -1 0\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "28 38 41 45\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 0 3 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "1 4 1 0\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "8 1 4 5\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCCCCCCCCCCCCCCCCCDADADADADADADADDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
"input": {
"stdin": "50 50 1 2\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
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{
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"stdin": "1 1 7 5\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "77 97 140 1\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "5 2 1 0\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
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{
"input": {
"stdin": "1 3 1 0\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "010 50 110 49\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "6 2 0 0\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "16 19 8 4\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "31 41 59 8\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABCBCBCBCBCBCBCBCBCBCBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
},
{
"input": {
"stdin": "45 39 25 22\n"
},
"output": {
"stdout": "50 50\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABCBCBCBCBCBCBCBCBCBCBCBCB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABABABABABABABABABABABABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nABABAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nAAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBB\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCDCDCDCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCDCDCDCDCDCDCDCDCDCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADADADADAD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDADADADADADADADADDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\nCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDD\n"
}
}
] |
{
"tags": [
"constructive algorithms",
"graphs"
],
"title": "A Mist of Florescence"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 1e5 + 5;\nint a, b, c, d;\nchar s[60][60];\nint main() {\n ios::sync_with_stdio(false);\n cin >> a >> b >> c >> d, a--;\n for (int i = 1; i <= 8; i++) {\n if (i & 1) {\n for (int j = 2; j <= 50; j += 2) s[i][j] = 'A';\n for (int j = 1; j <= 50; j += 2)\n if (b > 1)\n b--, s[i][j] = 'B';\n else\n s[i][j] = 'A';\n } else\n for (int j = 1; j <= 50; j++) s[i][j] = 'A';\n }\n for (int i = 1; i <= 50; i++) s[9][i] = 'B';\n for (int i = 10; i <= 33; i++) {\n if (!(i & 1)) {\n for (int j = 2; j <= 50; j += 2) s[i][j] = 'B';\n for (int j = 1; j <= 50; j += 2)\n if (a)\n a--, s[i][j] = 'A';\n else if (c)\n c--, s[i][j] = 'C';\n else if (d)\n d--, s[i][j] = 'D';\n else\n s[i][j] = 'B';\n } else {\n for (int j = 1; j <= 50; j++) s[i][j] = 'B';\n }\n }\n printf(\"33 50\\n\");\n for (int i = 1; i <= 33; i++) s[i][51] = 0, puts(s[i] + 1);\n return 0;\n}\n",
"java": "import java.util.Arrays;\nimport java.util.Scanner;\n\npublic class C989 {\n\n\tpublic static void main(String[] args) {\n\t\t// TODO Auto-generated method stub\n\t\tScanner scanner = new Scanner(System.in);\n\t\twhile (scanner.hasNext()) {\n\t\t\tint [] arr = new int [4];\n\t\t\tfor (int i = 0; i < arr.length; i++) {\n\t\t\t\tarr[i] = scanner.nextInt();\n\t\t\t}\n\t\t\tchar [][] graph = new char [50][50];\n\t\t\tif (arr[0] == 1) {\n\t\t\t\tfor (int i = 0; i < graph.length; i++) {\n\t\t\t\t\tfor (int j = 0; j < graph.length; j++) {\n\t\t\t\t\t\tgraph[i][j] = 'A';\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tint index = 1;\n\t\t\t\tfor (int i = 0; i < graph.length && index < 4; i+=2) {\n\t\t\t\t\tfor (int j = 0; j < graph.length && index < 4; j+=2) {\n\t\t\t\t\t\tgraph[i][j] = (char)('A'+index);\n\t\t\t\t\t\tarr[index] --;\n\t\t\t\t\t\tif (arr[index] == 0) {\n\t\t\t\t\t\t\tindex ++;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}else {\n\t\t\t\tfor (int i = 0; i < 25; i++) {\n\t\t\t\t\tfor (int j = 0; j < 50; j++) {\n\t\t\t\t\t\tgraph[i][j] = 'A';\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tfor (int i = 25; i < 50; i++) {\n\t\t\t\t\tfor (int j = 0; j < 50; j++) {\n\t\t\t\t\t\tgraph[i][j] = 'B';\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tarr[0] --;\n\t\t\t\tarr[1] --;\n\t\t\t\tint index = 1;\n\t\t\t\tfor (int i = 0; i < 50 && index < 4; i+=2) {\n\t\t\t\t\tfor (int j = 0; j < 50 && index < 4; j+=2) {\n\t\t\t\t\t\tif (arr[index] == 0) {\n\t\t\t\t\t\t\tindex ++;\n\t\t\t\t\t\t}else {\n\t\t\t\t\t\t\tarr[index] --;\n\t\t\t\t\t\t\tgraph[i][j] = (char)('A'+index);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tfor (int i = 49; i >= 25 && arr[0] != 0; i-=2) {\n\t\t\t\t\tfor (int j = 0; j < graph.length && arr[0] != 0; j+=2) {\n\t\t\t\t\t\tgraph[i][j] = 'A';\n\t\t\t\t\t\tarr[0] --;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println(\"50 50\");\n\t\t\tfor (int i = 0; i < graph.length; i++) {\n\t\t\t\tSystem.out.println(new String(graph[i]));\n\t\t\t}\n\t\t\t\n\t\t}\n\t}\n\t\n}\n",
"python": "from sys import stdin, stdout\n\n\na, b, c, d = map(int, stdin.readline().split())\nsze = 50\n\nans = [['' for i in range(sze)] for j in range(sze)]\n\nfor i in range(sze):\n for j in range(sze):\n label = 10 * (i // 25) + 1 * (j // 25)\n \n if not label:\n ans[i][j] = 'A'\n elif label == 1:\n ans[i][j] = 'B'\n elif label == 10:\n ans[i][j] = 'C'\n else:\n ans[i][j] = 'D'\n\na -= 1\nb -= 1\nc -= 1\nd -= 1\n\nfor i in range(sze // 2, sze, 2):\n for j in range(sze // 2, sze, 2):\n if not a:\n break\n \n ans[i][j] = 'A'\n a -= 1\n\n\nfor i in range(0, sze // 2, 2):\n for j in range(0, sze // 2, 2):\n if not d:\n break\n \n ans[i][j] = 'D'\n d -= 1\n \n \n \nfor i in range(sze // 2, sze, 2):\n for j in range(0, sze // 2, 2):\n if not b:\n break\n \n ans[i][j] = 'B'\n b -= 1\n\n\nfor i in range(0, sze // 2, 2):\n for j in range(sze // 2, sze, 2):\n if not c:\n break\n \n ans[i][j] = 'C'\n c -= 1 \n\nstdout.write(str(sze) + ' ' + str(sze) + '\\n')\n\nfor i in range(sze):\n for j in range(sze):\n stdout.write(ans[i][j])\n \n stdout.write('\\n')"
}
|
HackerEarth/amit-chahals-love-for-juices-and-dhruv-katyals-astrology
|
Amit Chahal has a pious love for all kind of fruit juices. Almost every day ,he buys One litre pack of juice. For past one month , Amit Chahal is having a very bad time. One day while he was on a date, he Reverse Peristalsis . Amit Chahal guessed it is probably due to juices he has been drinking for a while.
Amit Chahal told his problem to Dhruv Katyal (Popularly known as DK). Not many people in NIT are aware of the fact that Dhruv is also an astrologer and an expert in face reading. Dhruv told him that he should be carefull while buying juices. He should only buy those packets whose MRP is a Good Number. Amit Chahal decided to strictly follow the advice of Dhruv because don't want to get embarrassed again when he is on date.
A Good Number is that number whose digits when added together produce a prime number.
Input : First line will contain an integer t, the number of test cases. Description of each test case follow. Each test case consists of only one line telling the MRP of a packet of juice.
Output : For each testcase, print "YES" in a newline if Amit Chahal should buy that juice. "NO" otherwise. Quotes for clarity only.
Constraints :
1 ≤ t ≤ 10
1 ≤ MRP ≤ 10^1000
The price is so huge because it is in the currency of Zimbabwe.
Problem Setter : Abhishek Azad
Problem Tester :Faraz Ghazi
SAMPLE INPUT
3
22
3
7
SAMPLE OUTPUT
NO
YES
YES
|
[
{
"input": {
"stdin": "3\n22\n3\n7\n\nSAMPLE"
},
"output": {
"stdout": "NO\nYES\nYES"
}
},
{
"input": {
"stdin": "3\n17\n16\n23\n\nSAMLQE"
},
"output": {
"stdout": "NO\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n27\n50\n57\n\nTANOME"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n50\n77\n\nSANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n50\n57\n\nTANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n16\n79\n47\n\nLGNT@O"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n38\n32\n22\n\nOANTLE"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n20\n65\n27\n\nTAOOLE"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n41\n46\n\nSAMPME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n46\n34\n22\n\nFANTOL"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n28\n65\n27\n\nTANOME"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n41\n45\n66\n\nLFTN@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n22\n9\n7\n\nSAMQLE"
},
"output": {
"stdout": "NO\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n16\n19\n57\n\nLGOT@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n38\n41\n21\n\nTANOLE"
},
"output": {
"stdout": "YES\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n21\n50\n57\n\nSANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n46\n34\n22\n\nOANTFL"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n10\n103\n47\n\nLFNT@O"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n10\n79\n47\n\nLFNT@O"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n15\n17\n6\n\nSAMQLE"
},
"output": {
"stdout": "NO\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n38\n39\n21\n\nTANOLF"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n31\n16\n23\n\nSAMPME"
},
"output": {
"stdout": "NO\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n20\n65\n27\n\nTANOLE"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n65\n27\n\nTANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n38\n28\n21\n\nOANTLE"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n21\n26\n46\n\nNASOME"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n5\n17\n19\n\nSAMQLE"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n15\n17\n10\n\nSAMQLE"
},
"output": {
"stdout": "NO\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n52\n34\n22\n\nOANTLF"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n41\n27\n33\n\nLFTN@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n38\n32\n27\n\nOANTLF"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n16\n23\n\nSAMQLE"
},
"output": {
"stdout": "YES\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n21\n26\n46\n\nSAMOME"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n50\n93\n\nSANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n35\n50\n57\n\nSANOME"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n16\n79\n62\n\nLGOT@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n10\n87\n47\n\nLFNT@O"
},
"output": {
"stdout": "YES\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n38\n43\n1\n\nTANOLE"
},
"output": {
"stdout": "YES\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n46\n34\n33\n\nLFTN@O"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n15\n16\n19\n\nSAMQLE"
},
"output": {
"stdout": "NO\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n22\n9\n7\n\nRAMQLE"
},
"output": {
"stdout": "NO\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n21\n16\n23\n\nSAMQME"
},
"output": {
"stdout": "YES\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n38\n43\n21\n\nTANOLE"
},
"output": {
"stdout": "YES\nYES\nYES\n"
}
},
{
"input": {
"stdin": "3\n10\n45\n129\n\nLFNT@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n41\n45\n66\n\nLFNT@O"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n21\n26\n46\n\nSANOME"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n23\n17\n19\n\nSANQLE"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
},
{
"input": {
"stdin": "3\n20\n65\n27\n\nTANOME"
},
"output": {
"stdout": "YES\nYES\nNO\n"
}
},
{
"input": {
"stdin": "3\n22\n9\n7\n\nSAMPLE"
},
"output": {
"stdout": "NO\nNO\nYES\n"
}
},
{
"input": {
"stdin": "3\n21\n26\n46\n\nSAMPME"
},
"output": {
"stdout": "YES\nNO\nNO\n"
}
}
] |
{
"tags": [],
"title": "amit-chahals-love-for-juices-and-dhruv-katyals-astrology"
}
|
{
"cpp": null,
"java": null,
"python": "def isprime(number):\n if number==2:\n return 1\n if number%2==0: \n return 0\n N=number**0.5\n i=3\n while i<=N:\n if number%i==0:\n return 0\n i=i+2\n return 1\n\ndef main():\n for t in range(input()):\n number=long(raw_input())\n summ=0\n while number>0:\n summ=summ+number%10\n number=number/10\n if isprime(summ)==1:\n print \"YES\"\n else:\n print \"NO\"\nmain()"
}
|
HackerEarth/car-parking-4
|
You are looking for a place to park your car on a wall street. You can park at any position that meets the following requirements:
1. It is not directly in front of a private driveway.
2. It is not directly in front of a bus stop.
3. It is not 5 meters before a bus stop.
4. It is not 10 meters before a bus stop.
5. It is not directly in front of a side-street.
6. It is not 5 meters before a side-street.
7. It is not 5 meters after a side-street.
The street will be represented as a string, where each character describes a section of the street 5 meters in length. So the first character describes the first 5 meters of the street, the second character describes the next 5 meters and so on. street will use 'D' for driveway, 'B' for bus stop, 'S' for side-street and '-' for all other sections of the street. A position is directly in front of an object if it has the same index as the object in street. A position is before an object if its index is lower than the index of the object in street. Finally, a position is after an object if its index is higher than the index of the object in street.
Given the street print the total number of possible parking spaces on that street.
Input:
First line contains no. of testcases and each testcase contains a string street.
Output:
Print the total number of possible parking spaces on that street.
SAMPLE INPUT
3
---B--S-D--S--
DDBDDBDDBDD
--S--S--S--S--
SAMPLE OUTPUT
4
0
2
Explanation
Testcase 1:
The street looks like this:
---B--S-D--S--
You are allowed to park on position 0,4,9,13 on this street. Thus the output should be 4.
Testcase 2:
This street is full of private driveways and bus stops. You cannot park anywhere on this street. The output should be 0.
Testcase 3:
You can only park at the first and last positions on this street. The output should be 2.
|
[
{
"input": {
"stdin": "3\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDBBDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDBBDBDDDDD\n--S--S--S--S--\n\nFLMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n-.-B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S--\n\nTAMPME"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDDBBDBDDDDD\n--S--S--S---S-\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S--\n\nELPMAS"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDDBBDBDDDDD\n--S--S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\nS---DD-----B-S---B-D---DSS----BB---BDDD---------S-\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n-DD----S----B---S--D--B---SSD-S-S--D--S--DD------\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n-D-\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\nB-\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n19\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n-,S--D,S--B---\nDDBBDBDDDDD\n--S--S--S---S-\n\nSBMPLE"
},
"output": {
"stdout": "5\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n--SB--D--B---BBS-B-S-SS-SD---S--------D-DB---B--D-\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDD-S-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DST----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD-,BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\n--D\n--D\n-S-\n--------------------------------------------------\n-BBABBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nSB-"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n17\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n10\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n1\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n-DD----S----B---S--D--B---SSD-S-S--D--S--DD------\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n---SSS-S-S---B-----SSSB-D--S--------D-----BB------\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\nB-\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n24\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n1\n1\n0\n"
}
},
{
"input": {
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"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n17\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n10\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
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"input": {
"stdin": "3\n---B--S,D--S,-\nBCBDDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
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"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDCDBDBBDD\n--S--S--S--S--\n\nTAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
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"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D-.B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\n-B-\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
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"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n1\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
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{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S--\n\nELMPAS"
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"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S--\n\nTAMPLE"
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}
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"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n--SB--D--B---BBS-B-S-SS-SD---S--------D-DB---B--D-\n-DD----S----B---S--D--B---SSD-S-S--D--S--DD------\n-D--B---DS-----B-----S-B-------------.B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\n-S----B--B-S-BD-SBD-------------BBSDBSBBD--------D\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
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"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n17\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n20\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S.-\n\nUAMPNF"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n-.-B--S,D--S--\nDDDCDBDBBDD\n--S--S--S--S--\n\nELPMAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nBCBDDBDDDDD\n--S--S--S-.S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n--S--D,S--B---\nBDBCDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "5\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDBBDBDDDDD\n--S--S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n--S--D-S--B---\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS.----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
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"output": {
"stdout": "5\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S----S-D\nDDBDCBDDBDD\n-----S-SS--S--\n\nSAMPEL"
},
"output": {
"stdout": "4\n0\n5\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDCBDBBDDDDD\n--S--S--S--S--\n\nEMTPAM"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\n--D\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S-D--S--\nDDBDDBDDBDD\n-S---S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nBDBCDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDDDDBDBBDD\n--S--S--S--S.-\n\nUAMPMF"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\nB-\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n--S--D,S--B---\nDDDDDBDBBDD\n--S--S--S--S--\n\nELPMAS"
},
"output": {
"stdout": "5\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n--SB--S,D-----\nDDBBDBDDDDD\n--S--S--S-,S--\n\nUAMPMD"
},
"output": {
"stdout": "7\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nCDBBDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n--S--D,S--B---\nDDDDDBDBBDD\n--S--S--S--S.-\n\nUAMPMF"
},
"output": {
"stdout": "5\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDDBBDBDDDDD\n--S--S--S---S-\n\nSBMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nDDBDDBDDBDD\n--S--S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D-.B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
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{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S--\nBCBDDBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDCBDBBDDDDD\n--S--S--S--S--\n\nEMMPAT"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\nS---DD-----B-S---B-D---DSS----BB---BDDD---------S-\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n-DD----S----B---S--D--B---SSD-S-S--D--S--DD------\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\n---DDBDD---BD--S----DD-D-SS-SB---------DDD-SD-D-DS\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n-D-\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\nB-\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n19\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n20\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n1\n1\n0\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\n--D\n--D\n-S-\n--------------------------------------------------\n-BBABBBBBB\n-BDDDDDD\nSTD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\nD-S----S--B---\nDDBDDBDDBDD\n--S--S--S--S--\n\nSAMPLE"
},
"output": {
"stdout": "5\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n------DD--S--D--S-S-DSS---B--D--S---B----S----DD-\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD--------DBBSBDSBB-------------DBS-DB-S-B--B----S-\nB-B--S-------DBDS-D-BB-S-BBD--B--DDD-B-D-DS-BB--D-\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\nSSD-B---BD----DD--D--SSDB-\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n22\n13\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n9\n0\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S---S-\n\nASMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n---B--S,D--S,-\nDDBBCBDDDDD\n--S--S--S---S-\n\nSAMPLE"
},
"output": {
"stdout": "4\n0\n2\n"
}
},
{
"input": {
"stdin": "46\n---B--S-D--S--\nDDBDDBDDBDD\n--S--S--S--S--\nSSD-B---BD-DDSB-----S-S--------S-B----BSB-S--B-S-D\n-SB---S----DD-D-DS---B--BD-S-SD---D----D-B---B-SDD\n------BB-----D--------S--D-BSSS-----B---S-S-SSS---\n----------S--S----D---------SD---DD--D---DSB-B----\n-S---------DDDB---BB----SSD---D-B---S-B-----DD---S\n-D--B---BD-D--------S---DS-SS-S-B-SBB---B--D--BS--\n-DD----S----B---S--D--B---SSD-S-S--D--S--DD------\n-D--B---DS-----B-----S-B--------------B-B-S----DB-\n---D--D---SDB-S-B--SSD-S---D-------SB------D------\n----B---D-S------S-S------DD---SS-B----DD-D-------\nDDDDDDDDDDDDDDDDDD\nD\nB\nS\n-\n--------------------\nSSSSSSSSSSSSSSSSSSSSSSS\nBBBBBBBBBBBBBBBBBB\n-DD-BDDD---B-DSBD---S-B--S--DDS-D-DBSBBDDD-S------\n---D-DDS---SDS---------B-B-D-D-B-DB--S--BD-SDDSB-D\nD-------BDBBSBDSB--------------DBS-DB-S-B--B----S-\n-D--BB-SD-D-B-DDD--B--DBB-S-BB-D-SDBD-------S--B-B\nSD-D-DS-DDD---------BS-SS-D-DD----S--DB---DDBDD---\nB--D-B--D---S-BDDD-D-----D---D---SB--D-B---DBB----\n--S-DDDSDSB--B-DSS----DD----BBBSD---BSD-B-BB-B-SB-\nB-S-D---D-S----DSDBDBD-BDBDD---D-S---DS-DSSS-BDS-\nBDS-D-B-DSB-DSB-BSBD--DS--SB-S-D-SB--BS--B-DB-BD-B\n-SDBS-DBB----SBSSDD--BB---B-DB-DS-DS--DD---DB--D-D\nB--\n--B\nS--\n--S\nD--\n--D\n-S-\n--------------------------------------------------\n-BBBBBBBBB\n-BDDDDDD\n-BDSS--D--DD----DB---B-DSS\n--B--B--B--B--B\n-B\n-\nS-B"
},
"output": {
"stdout": "4\n0\n2\n14\n15\n23\n32\n24\n16\n19\n25\n28\n28\n0\n0\n0\n0\n1\n20\n0\n0\n12\n15\n21\n11\n19\n25\n9\n11\n4\n11\n2\n0\n1\n1\n2\n2\n0\n50\n0\n0\n8\n0\n0\n1\n0\n"
}
}
] |
{
"tags": [],
"title": "car-parking-4"
}
|
{
"cpp": null,
"java": null,
"python": "class StreetParking(object):\n def freeParks(self, street):\n spots = 0\n street_list = list(street)\n\n street_list[len(street_list):] = \".\", \".\"\n for i in range(2):\n street_list.insert(0, \".\")\n x_list = street_list[:]\n\n for i in range(len(street_list)):\n if street_list[i] == \"-\":\n if street_list[i+1] != \"B\" and \\\n street_list[i+2] != \"B\" and \\\n street_list[i-1] != \"S\" and \\\n street_list[i + 1] != \"S\":\n spots += 1\n return spots\nt=input()\nwhile t>0:\n t-=1\n n=raw_input()\n print StreetParking().freeParks(n)"
}
|
|
|
You have some boxes. All of them are assigned a unique positive integer. This number is written on them with a marker. Your task is simple that is to evaluate a number of queries. The description of a single query is
given below:
The query consists of 2 positive integers L and R.
You have to report total number of boxes that have the values in the range L and R (inclusive of L and R), written on them.
INPUT
The first line of input contains a positive integer n, denoting the number of boxes.
The second line contains n space separated integers denoting the positive integer assigned to each box. (p[1] .... p[n])
The third line contains an integer q, the number of queries.
After this q lines follow, each containing two positive integers L and R, as stated above, for this particular query.
OUTPUT
The output contains q lines. Each line contains a positive integer, the answer for that particular test case.
CONSTRAINTS
1 ≤ n ≤ 100000
1 ≤ p[i] ≤ 10^9
1 ≤ q ≤ 100000
SAMPLE INPUT
5
4 3 2 1 1
4
1 2
2 3
5 6
1 1
SAMPLE OUTPUT
3
2
0
2
|
[
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n1 2\n2 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "3\n2\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n8 3 2 1 1\n4\n1 2\n1 3\n5 8\n1 2\n\nMASPLF"
},
"output": {
"stdout": "3\n4\n1\n3\n"
}
},
{
"input": {
"stdin": "5\n0 3 2 0 1\n1\n1 2\n1 3\n5 8\n1 2\n\nMASPLF"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "5\n2 2 2 1 0\n2\n0 1\n0 3\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n5\n"
}
},
{
"input": {
"stdin": "5\n0 0 2 2 2\n3\n-1 0\n1 5\n9 8\n1 6\n\nMASPLF"
},
"output": {
"stdout": "2\n3\n0\n"
}
},
{
"input": {
"stdin": "5\n5 1 2 0 1\n3\n2 2\n2 3\n1 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n1\n4\n"
}
},
{
"input": {
"stdin": "5\n0 0 2 2 2\n3\n-1 2\n0 10\n9 10\n1 6\n\nMASPLF"
},
"output": {
"stdout": "5\n5\n0\n"
}
},
{
"input": {
"stdin": "5\n2 3 2 1 1\n4\n0 1\n1 3\n5 8\n1 2\n\nMASPLF"
},
"output": {
"stdout": "2\n5\n0\n4\n"
}
},
{
"input": {
"stdin": "5\n0 0 0 4 2\n3\n-1 1\n1 8\n9 8\n1 6\n\nMASPLF"
},
"output": {
"stdout": "3\n2\n0\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 2 1\n4\n1 2\n1 3\n5 12\n1 1\n\nMASPLF"
},
"output": {
"stdout": "3\n4\n0\n1\n"
}
},
{
"input": {
"stdin": "5\n4 5 2 1 1\n4\n0 1\n1 3\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n3\n1\n3\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n0 1\n0 3\n3 7\n0 2\n\nFLPSAM"
},
"output": {
"stdout": "2\n4\n2\n3\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n0 1\n0 3\n1 7\n0 2\n\nFLPSAM"
},
"output": {
"stdout": "2\n4\n5\n3\n"
}
},
{
"input": {
"stdin": "5\n1 3 2 1 2\n4\n0 1\n1 3\n1 11\n1 2\n\nMASPLF"
},
"output": {
"stdout": "2\n5\n5\n4\n"
}
},
{
"input": {
"stdin": "5\n3 3 2 1 1\n4\n1 2\n2 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "3\n3\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n3 3 2 1 1\n4\n2 2\n2 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n3\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n6 3 1 1 1\n4\n1 2\n2 3\n5 6\n1 1\n\nMATPLE"
},
"output": {
"stdout": "3\n1\n1\n3\n"
}
},
{
"input": {
"stdin": "5\n3 3 2 0 1\n4\n2 2\n2 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n3\n0\n1\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n1 1\n2 6\n7 6\n1 2\n\nFLPSAM"
},
"output": {
"stdout": "2\n3\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n0 1\n1 1\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n2\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n1 0 2 2 2\n3\n-1 0\n1 5\n9 8\n1 6\n\nMASPLF"
},
"output": {
"stdout": "1\n4\n0\n"
}
},
{
"input": {
"stdin": "5\n4 3 1 1 1\n4\n1 2\n2 3\n5 6\n1 1\n\nMASPLE"
},
"output": {
"stdout": "3\n1\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n1 0 2 4 2\n3\n0 3\n0 5\n7 18\n1 6\n\nMASPLF"
},
"output": {
"stdout": "4\n5\n0\n"
}
},
{
"input": {
"stdin": "5\n1 3 2 0 1\n1\n1 2\n1 3\n5 8\n1 2\n\nMASPLF"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n2 3 1 1 0\n4\n0 1\n1 3\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "3\n4\n0\n4\n"
}
},
{
"input": {
"stdin": "5\n2 3 2 1 1\n4\n0 2\n2 3\n5 8\n2 2\n\nMASPLF"
},
"output": {
"stdout": "4\n3\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n0 1\n0 3\n2 7\n-1 4\n\nFLPSAM"
},
"output": {
"stdout": "2\n4\n3\n5\n"
}
},
{
"input": {
"stdin": "5\n0 4 3 1 1\n4\n0 2\n0 3\n2 7\n0 4\n\nMLPSAF"
},
"output": {
"stdout": "3\n4\n2\n5\n"
}
},
{
"input": {
"stdin": "5\n4 3 0 1 1\n4\n1 2\n2 3\n5 6\n1 1\n\nMASPLE"
},
"output": {
"stdout": "2\n1\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n1 2\n1 3\n5 6\n1 1\n\nMASPLF"
},
"output": {
"stdout": "3\n4\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n4 4 2 1 1\n4\n1 2\n2 3\n4 6\n1 1\n\nMASPLF"
},
"output": {
"stdout": "3\n1\n2\n2\n"
}
},
{
"input": {
"stdin": "5\n5 1 2 0 1\n3\n2 2\n0 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n4\n1\n"
}
},
{
"input": {
"stdin": "5\n4 3 3 1 1\n4\n0 1\n1 3\n5 7\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n4\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n0 1\n1 3\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n4\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n2 3 2 1 0\n4\n0 0\n0 1\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "1\n2\n0\n4\n"
}
},
{
"input": {
"stdin": "5\n1 1 1 0 4\n4\n0 0\n0 6\n2 17\n0 2\n\nFASPLM"
},
"output": {
"stdout": "1\n5\n1\n4\n"
}
},
{
"input": {
"stdin": "5\n4 3 2 1 1\n4\n1 1\n2 6\n7 6\n1 1\n\nFLPSAM"
},
"output": {
"stdout": "2\n3\n0\n2\n"
}
},
{
"input": {
"stdin": "5\n5 1 2 0 1\n3\n2 2\n0 3\n1 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n4\n4\n"
}
},
{
"input": {
"stdin": "5\n5 3 2 1 1\n4\n2 2\n1 3\n5 8\n1 1\n\nMASPLF"
},
"output": {
"stdout": "1\n4\n1\n2\n"
}
},
{
"input": {
"stdin": "5\n4 2 2 1 0\n2\n0 1\n0 3\n5 8\n0 2\n\nMASPLF"
},
"output": {
"stdout": "2\n4\n"
}
},
{
"input": {
"stdin": "5\n4 3 1 1 1\n4\n1 2\n2 6\n5 6\n0 2\n\nMASPLE"
},
"output": {
"stdout": "3\n2\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n4 3 1 0 1\n4\n1 2\n2 3\n5 6\n0 1\n\nELPSAM"
},
"output": {
"stdout": "2\n1\n0\n3\n"
}
},
{
"input": {
"stdin": "5\n0 4 4 1 1\n4\n0 2\n1 3\n2 7\n0 4\n\nMLPSAF"
},
"output": {
"stdout": "3\n2\n2\n5\n"
}
},
{
"input": {
"stdin": "5\n5 3 2 0 1\n4\n2 2\n2 3\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "1\n2\n1\n1\n"
}
},
{
"input": {
"stdin": "5\n1 0 2 2 2\n3\n-1 1\n1 5\n9 8\n1 6\n\nMASPLF"
},
"output": {
"stdout": "2\n4\n0\n"
}
},
{
"input": {
"stdin": "5\n1 3 4 1 1\n4\n0 1\n1 3\n5 8\n1 4\n\nMASPLF"
},
"output": {
"stdout": "3\n4\n0\n5\n"
}
},
{
"input": {
"stdin": "5\n2 2 2 1 0\n1\n0 2\n0 3\n3 8\n0 2\n\nMBSPLF"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n3 3 2 1 1\n3\n1 2\n0 5\n5 6\n1 1\n\nSAMPLE"
},
"output": {
"stdout": "3\n5\n0\n"
}
},
{
"input": {
"stdin": "5\n1 3 4 1 1\n4\n0 1\n1 5\n9 8\n1 4\n\nMASPLF"
},
"output": {
"stdout": "3\n5\n0\n5\n"
}
},
{
"input": {
"stdin": "5\n0 3 1 1 1\n4\n1 2\n2 3\n5 6\n0 2\n\nELPSAM"
},
"output": {
"stdout": "3\n1\n0\n4\n"
}
}
] |
{
"tags": [],
"title": "dfs-2"
}
|
{
"cpp": null,
"java": null,
"python": "def bs(a,t):\n low=0\n high=len(a)-1\n while low<=high:\n mid=(low+high)/2\n if a[mid]<=t:\n \tlow=mid+1\n else:\n high=mid-1\n return high\ndef bsl(a,t):\n low=0\n high=len(a)-1\n while low<=high:\n mid=(low+high)/2\n if a[mid]<t:\n \tlow=mid+1\n else:\n high=mid-1\n return high\nn=input()\narr=map(int,raw_input().split())\narr=sorted(arr)\nl=len(arr)\nart=[0]*l\nj=0\n\ni=0\n\t\nfor _ in range(input()):\n\ta,b=map(int,raw_input().split())\n\tprint bs(arr,b)-bsl(arr,a)"
}
|
|
|
Life and death, win or lose - both have two sides to each other. And that's what Arjit and Chandu Don are fighting about. They are tired of gang-wars between each other, and thus decide to settle like men in a field, of Mathematics.
But even while going to play the game of Mathematics, they have not given up on their tactics of hurting each other. So, Arjit carries a number of rubber bullets with himself, and Chandu Don carries b number of rubber bullets. Since, Little Chandu is a more dangerous gangster of the two, he decides to give the first chance to Arjit.
The way they’re going to decide who wins the entire land of HEpur is by playing the age-old game of GCD-DCG. The first one to end up with only 1 bullet is going to lose.
This is how the game progresses:
1. If GCD (a, b) is greater than 1, then, the player can:
a.) Subtract 1 from opposite player’s bullets.
**OR**
b.) Divide the number of bullets of opposite player by GCD (a, b).
2. If GCD (a, b) is equal to 1, then, the player can:
a.) Subtract 1 from the opposite player’s bullets.
Note : Player can choose only one move out of two if GCD(A,B)>1 .
The one who ends up with only one bullet loses the battle, and his life, and the land of HEpur.
Determine who is going to rule, once and for all!
input:
First line contains number of test cases T, next T lines contains two numbers A and B taken by Arjit and Chandu Don respectively.
Output:
Print the name of winner of the game in case of draw print Draw.
Constraints
1 ≤ T ≤ 1000
1 ≤ A ≤ 1000
1 ≤ B ≤ 1000
Problem Statement Credit : Arjit Srivastava.
SAMPLE INPUT
4
2 1
3 4
5 5
1 1
SAMPLE OUTPUT
Arjit
Chandu Don
Arjit
Draw
|
[
{
"input": {
"stdin": "1000\n1 1\n42 468\n335 1\n170 225\n479 359\n463 465\n206 146\n282 328\n462 492\n496 443\n328 437\n392 105\n403 154\n293 383\n422 217\n219 396\n448 227\n272 39\n370 413\n168 300\n36 395\n204 312\n323 334\n174 165\n142 212\n254 369\n48 145\n163 258\n38 360\n224 242\n30 279\n317 36\n191 343\n289 107\n41 443\n265 149\n447 306\n391 230\n371 351\n7 102\n394 49\n130 124\n85 455\n257 341\n467 377\n432 309\n445 440\n127 324\n38 39\n119 83\n430 42\n334 116\n140 159\n205 431\n478 307\n174 387\n22 246\n425 73\n271 330\n278 74\n98 13\n487 291\n162 137\n356 268\n156 75\n32 53\n351 151\n442 225\n467 431\n108 192\n8 338\n458 288\n254 384\n446 410\n210 259\n222 89\n423 447\n7 31\n414 169\n401 92\n263 156\n411 360\n125 38\n49 484\n96 42\n103 351\n292 337\n375 21\n97 22\n349 200\n169 485\n282 235\n54 500\n419 439\n401 289\n128 468\n229 394\n149 484\n308 422\n311 118\n314 15\n310 117\n436 452\n101 250\n20 57\n299 304\n225 9\n345 110\n490 203\n196 486\n94 344\n24 88\n315 4\n449 201\n459 119\n81 297\n299 282\n90 299\n10 158\n473 123\n39 293\n39 180\n191 158\n459 192\n316 389\n157 12\n203 135\n273 56\n329 147\n363 387\n376 434\n370 143\n345 417\n382 499\n323 152\n22 200\n58 477\n393 390\n76 213\n101 11\n4 370\n362 189\n402 290\n256 424\n3 86\n183 286\n89 427\n118 258\n333 433\n170 155\n222 190\n477 330\n369 193\n426 56\n435 50\n442 13\n146 61\n219 254\n140 424\n280 497\n188 30\n50 438\n367 450\n194 196\n298 417\n287 106\n489 283\n456 235\n115 202\n317 172\n287 264\n314 356\n186 54\n413 309\n333 446\n314 257\n322 59\n147 483\n482 145\n197 223\n130 162\n36 451\n174 467\n45 160\n293 440\n254 25\n155 11\n246 150\n187 314\n475 23\n169 19\n288 406\n459 392\n203 126\n478 415\n315 325\n335 375\n373 160\n334 71\n488 298\n19 178\n274 271\n264 169\n193 486\n103 481\n214 128\n303 100\n28 126\n44 425\n24 473\n62 182\n4 433\n6 94\n226 32\n493 143\n223 287\n65 401\n188 361\n414 475\n271 171\n236 334\n212 261\n397 168\n286 51\n141 195\n196 125\n20 126\n77 195\n159 303\n372 467\n179 94\n352 485\n19 465\n120 153\n301 88\n61 427\n11 258\n171 316\n77 228\n44 259\n165 110\n383 87\n66 488\n78 475\n126 128\n130 429\n424 21\n403 463\n124 97\n238 262\n196 26\n265 261\n203 117\n31 327\n12 272\n412 48\n154 21\n291 425\n189 264\n441 352\n163 330\n401 214\n459 79\n366 8\n478 201\n59 440\n304 261\n358 325\n478 109\n114 388\n302 351\n461 429\n494 385\n406 41\n112 205\n336 357\n73 351\n324 486\n57 217\n127 358\n27 358\n338 272\n370 362\n397 23\n118 113\n218 197\n86 42\n424 130\n230 66\n60 433\n297 356\n54 463\n85 235\n155 473\n458 370\n33 464\n108 484\n412 136\n68 349\n176 439\n224 143\n255 12\n242 176\n460 326\n222 371\n127 435\n206 284\n351 399\n280 202\n194 235\n138 35\n57 494\n177 206\n463 49\n382 301\n414 142\n356 356\n143 463\n112 378\n425 179\n253 444\n297 174\n41 314\n376 73\n319 111\n18 433\n113 196\n170 332\n41 489\n186 91\n498 90\n491 146\n354 315\n152 241\n45 259\n336 260\n193 106\n265 182\n4 330\n276 109\n293 498\n50 57\n62 128\n468 42\n130 241\n314 175\n102 78\n216 184\n214 493\n325 102\n393 260\n171 429\n28 85\n76 287\n499 471\n288 348\n105 4\n222 164\n207 364\n11 172\n490 241\n165 43\n120 414\n92 205\n319 233\n251 206\n476 40\n304 423\n99 248\n85 149\n472 365\n414 76\n46 213\n47 179\n270 263\n20 486\n290 445\n366 41\n246 9\n319 371\n102 324\n133 473\n153 88\n71 264\n402 104\n424 28\n101 470\n16 66\n29 44\n348 89\n444 138\n410 464\n50 182\n89 343\n109 61\n222 259\n455 389\n147 191\n450 344\n431 121\n249 68\n37 284\n36 227\n186 39\n354 130\n225 249\n424 360\n258 267\n445 456\n319 227\n412 26\n356 2\n50 497\n85 16\n465 343\n76 414\n143 197\n449 73\n427 107\n174 430\n405 206\n127 313\n376 94\n66 37\n237 142\n315 495\n257 153\n437 339\n483 356\n16 132\n231 342\n126 12\n138 187\n191 151\n163 135\n394 354\n417 453\n9 263\n234 455\n304 135\n304 257\n149 125\n318 214\n110 29\n201 81\n319 359\n51 156\n362 265\n404 177\n144 410\n403 62\n490 449\n283 154\n175 221\n403 424\n332 370\n379 260\n9 120\n472 4\n446 282\n5 393\n186 314\n199 90\n223 439\n38 411\n462 235\n9 462\n460 494\n16 270\n438 370\n59 201\n472 265\n118 216\n56 316\n331 40\n213 289\n83 455\n86 211\n485 275\n381 316\n452 42\n116 180\n111 399\n74 289\n478 133\n457 190\n114 9\n442 291\n224 364\n29 185\n279 201\n72 386\n475 72\n334 368\n154 296\n169 326\n177 130\n151 99\n310 194\n187 81\n117 250\n168 29\n180 365\n422 406\n327 317\n17 227\n167 88\n182 465\n341 187\n22 163\n222 65\n310 416\n403 374\n125 442\n246 263\n424 32\n307 269\n319 103\n408 308\n482 13\n137 131\n115 310\n85 57\n291 294\n497 153\n55 346\n209 249\n492 213\n132 115\n440 459\n223 205\n496 53\n270 480\n239 424\n419 367\n160 499\n487 197\n463 134\n159 23\n147 393\n38 426\n148 459\n103 308\n99 331\n293 101\n279 300\n353 449\n383 41\n316 76\n263 68\n337 398\n419 398\n329 352\n317 231\n450 426\n159 230\n21 441\n61 148\n163 156\n176 293\n362 255\n399 147\n215 447\n189 70\n139 164\n76 16\n22 476\n116 29\n235 71\n406 465\n58 463\n162 25\n50 470\n331 424\n351 334\n426 411\n238 337\n338 279\n394 137\n215 165\n92 450\n136 6\n338 5\n338 124\n165 471\n109 69\n282 86\n153 374\n153 195\n377 327\n397 73\n250 141\n175 320\n444 112\n442 290\n420 66\n306 86\n217 451\n116 110\n65 167\n394 75\n10 301\n196 74\n90 162\n173 469\n359 32\n269 427\n11 423\n275 280\n411 53\n183 392\n496 265\n375 365\n403 256\n461 475\n473 322\n123 48\n78 290\n106 196\n95 451\n344 255\n482 13\n173 440\n429 413\n263 468\n409 416\n409 224\n260 435\n205 487\n320 459\n446 307\n167 201\n368 193\n288 33\n57 475\n448 22\n284 223\n332 377\n84 449\n224 483\n19 277\n221 112\n183 357\n491 426\n325 487\n178 470\n144 35\n178 169\n69 492\n197 284\n329 228\n427 372\n198 113\n204 28\n409 46\n9 186\n239 238\n444 314\n2 351\n129 112\n151 150\n193 455\n370 182\n466 268\n214 294\n135 473\n473 331\n402 443\n178 378\n271 203\n365 382\n91 324\n238 24\n180 96\n170 328\n43 311\n183 59\n427 488\n171 29\n152 259\n214 361\n284 287\n243 111\n473 129\n435 342\n219 4\n368 366\n439 382\n258 251\n115 99\n459 162\n64 257\n308 279\n490 436\n366 76\n87 387\n334 361\n331 49\n429 493\n434 341\n267 236\n311 100\n338 393\n483 329\n353 370\n245 295\n109 253\n148 433\n36 209\n265 498\n244 150\n16 342\n190 101\n313 149\n24 352\n475 134\n392 201\n355 491\n198 420\n281 79\n432 45\n341 488\n400 26\n484 39\n493 194\n253 12\n61 335\n341 498\n286 30\n41 306\n292 393\n211 50\n79 480\n472 278\n74 194\n121 498\n327 277\n291 83\n79 160\n419 490\n160 450\n425 73\n381 9\n468 209\n478 4\n371 108\n197 75\n223 112\n20 262\n57 391\n164 184\n217 433\n453 242\n455 314\n363 397\n461 116\n405 100\n137 181\n199 33\n388 85\n241 18\n7 171\n242 383\n250 24\n259 106\n122 96\n297 417\n179 179\n80 59\n78 251\n8 230\n82 496\n179 177\n254 400\n285 66\n94 109\n173 244\n430 15\n169 56\n192 474\n423 249\n152 487\n145 447\n78 18\n130 417\n375 292\n470 413\n147 194\n92 316\n450 358\n141 53\n237 52\n488 227\n163 456\n184 395\n181 98\n66 66\n14 262\n79 79\n379 141\n112 448\n446 171\n476 490\n251 150\n334 366\n215 283\n8 433\n397 368\n23 383\n311 142\n232 188\n206 480\n322 39\n352 448\n209 147\n277 260\n190 423\n167 487\n456 29\n115 361\n254 278\n349 4\n362 432\n83 456\n198 107\n253 322\n297 282\n22 456\n448 125\n319 136\n377 275\n360 499\n75 254\n423 136\n144 389\n154 233\n248 181\n427 179\n451 302\n462 200\n356 364\n217 74\n62 246\n474 275\n51 354\n182 288\n200 111\n144 466\n173 30\n482 113\n477 382\n248 391\n172 306\n373 33\n490 321\n166 432\n159 294\n207 79\n449 207\n172 167\n397 198\n21 195\n30 289\n110 485\n470 479\n118 16\n127 185\n169 407\n429 98\n119 391\n200 286\n487 200\n421 211\n272 314\n416 86\n319 81\n332 268\n388 445\n187 8\n361 328\n75 432\n153 272\n269 194\n386 338\n312 105\n178 407\n269 23\n414 1\n43 38\n39 389\n356 290\n148 182\n94 85\n488 262\n494 218\n2 483\n448 166\n254 105\n85 96\n26 222\n465 282\n373 107\n157 344\n94 81\n81 369\n412 214\n469 252\n217 80\n269 41\n32 434\n280 164\n260 154\n437 96\n366 375\n221 336\n181 477\n456 226\n72 309\n60 157\n103 333\n406 441\n376 63\n386 463\n81 337\n298 203\n9 81\n341 77\n59 494\n241 47\n475 274\n98 381\n336 73\n401 208\n456 167\n142 89\n482 169\n316 397\n226 10\n13 137\n456 263\n44 243\n22 423\n13 249\n19 369\n218 215\n151 291\n336 260\n170 396\n304 141\n480 200\n106 292\n162 182\n153 254\n34 30\n488 43\n254 84\n421 315\n219 245\n64 230\n153 365\n270 471\n6 48\n95 488\n327 277\n324 41\n180 491\n89 211\n272 446\n222 471\n184 90\n456 479\n280 7\n263 136\n488 197\n34 89\n436 280\n494 291\n463 466\n2 106\n308 68\n170 135\n172 458\n499 46\n98 219\n339 345\n373 64\n29 265\n302 224\n491 105\n102 228\n198 193\n272 364\n302 364\n222 66\n422 446\n111 496\n242 23\n313 152\n16 56\n394 239"
},
"output": {
"stdout": "Draw\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nChandu Don\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nArjit\nChandu Don\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nChandu Don\nChandu Don\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nChandu 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Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nChandu Don\nArjit\nArjit\nChandu Don\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nArjit\nChandu Don\nChandu Don\nChandu Don"
}
}
] |
{
"tags": [],
"title": "gcd-game-11"
}
|
{
"cpp": null,
"java": null,
"python": "from sys import stdin\nfrom fractions import gcd\n\n# for result memoization\nregistry = {}\n\ndef get_result(a,b):\n\tif not registry.has_key((a,b)):\n\t\tif a== 1:\n\t\t\tregistry[(a,b)] = 0\n\t\telif b == 1:\n\t\t\tregistry[(a,b)] = 1\n\t\telse:\n\t\t\tgreatest_div =gcd(a,b) \n\t\t\tif greatest_div == 1:\n\t\t\t\tregistry[(a,b)] = 1 ^ get_result(b-1,a)\n\t\t\telse:\n\t\t\t\tres1 = 1^ get_result(b-1, a)\n\t\t\t\tres2 = 1^ get_result(b/greatest_div,a)\n\t\t\t\tregistry[(a,b)] = res1 | res2\n\treturn registry[(a,b)]\n\ndef main():\n\tnum_cases = int(stdin.readline())\n\n\twhile num_cases > 0:\n\t\tarjit, chandu = [int(x) for x in stdin.readline().split()]\n\t\tif arjit == 1 and chandu ==1:\n\t\t\tprint \"Draw\" # no other case can have a draw\n\t\t\tnum_cases -= 1\n\t\t\tcontinue\n\t\tres = get_result(arjit, chandu)\n\t\tif res == 1:\n\t\t\tprint \"Arjit\"\n\t\telse:\n\t\t\tprint \"Chandu Don\"\n\t\tnum_cases -= 1\n\nif __name__ == \"__main__\":\n\tmain()"
}
|
HackerEarth/largest-volume-84
|
Now our heroes - Maga and Alex are working for Oil Company as developers. Recently they have faced a great problem.
They couldn’t find the correct solution. Could you help them?
We are given r – radius of lower base and s – slant height. The figure can be cylinder or truncated cone. You have to find as largest volume as possible to carry oil respect to given information. The slant height is the shortest possible distance between the edges of two bases through surface of cone.
Input :
You are given 2 numbers. r– radius of lower base and s – slant height.
Output:
Largest Volume. Print 2 digits after floating point.
Constraints:
1 ≤ r, s ≤ 100
SAMPLE INPUT
1 1
SAMPLE OUTPUT
4.33
Explanation
In the sample test case, the answer is that it is truncated cone which the area of upper base is larger than the area of lower base. And then answer is simple 4.33.
|
[
{
"input": {
"stdin": "1 1\n\nSAMPLE"
},
"output": {
"stdout": "4.33"
}
},
{
"input": {
"stdin": "97 33"
},
"output": {
"stdout": "1028727.30"
}
},
{
"input": {
"stdin": "68 95"
},
"output": {
"stdout": "2291771.52"
}
},
{
"input": {
"stdin": "78 99"
},
"output": {
"stdout": "2959896.28"
}
},
{
"input": {
"stdin": "3 6"
},
"output": {
"stdout": "370.25\n"
}
},
{
"input": {
"stdin": "1 8"
},
"output": {
"stdout": "318.03\n"
}
},
{
"input": {
"stdin": "54 181"
},
"output": {
"stdout": "6168918.71\n"
}
},
{
"input": {
"stdin": "0 5"
},
"output": {
"stdout": "50.38\n"
}
},
{
"input": {
"stdin": "54 22"
},
"output": {
"stdout": "217000.17\n"
}
},
{
"input": {
"stdin": "54 95"
},
"output": {
"stdout": "1706898.12\n"
}
},
{
"input": {
"stdin": "50 10"
},
"output": {
"stdout": "80076.41\n"
}
},
{
"input": {
"stdin": "25 106"
},
"output": {
"stdout": "1039559.77\n"
}
},
{
"input": {
"stdin": "-2 1\n\nE@PNMR"
},
"output": {
"stdout": "12.57\n"
}
},
{
"input": {
"stdin": "17 30"
},
"output": {
"stdout": "53552.70\n"
}
},
{
"input": {
"stdin": "10 37"
},
"output": {
"stdout": "48766.30\n"
}
},
{
"input": {
"stdin": "1 2\n\nSAMPLE"
},
"output": {
"stdout": "13.71\n"
}
},
{
"input": {
"stdin": "97 21"
},
"output": {
"stdout": "634924.24\n"
}
},
{
"input": {
"stdin": "25 41"
},
"output": {
"stdout": "149572.58\n"
}
},
{
"input": {
"stdin": "2 2\n\nSAMPLE"
},
"output": {
"stdout": "34.66\n"
}
},
{
"input": {
"stdin": "0 2\n\nSAMPLE"
},
"output": {
"stdout": "3.22\n"
}
},
{
"input": {
"stdin": "0 41"
},
"output": {
"stdout": "27779.75\n"
}
},
{
"input": {
"stdin": "1 4"
},
"output": {
"stdout": "58.18\n"
}
},
{
"input": {
"stdin": "50 6"
},
"output": {
"stdout": "47460.40\n"
}
},
{
"input": {
"stdin": "0 65"
},
"output": {
"stdout": "110692.14\n"
}
},
{
"input": {
"stdin": "3 1\n\nS@NPLD"
},
"output": {
"stdout": "29.76\n"
}
},
{
"input": {
"stdin": "4 21"
},
"output": {
"stdout": "7065.45\n"
}
},
{
"input": {
"stdin": "184 21"
},
"output": {
"stdout": "2248036.15\n"
}
},
{
"input": {
"stdin": "-1 120"
},
"output": {
"stdout": "675417.40\n"
}
},
{
"input": {
"stdin": "142 1"
},
"output": {
"stdout": "63348.64\n"
}
},
{
"input": {
"stdin": "17 18"
},
"output": {
"stdout": "23163.16\n"
}
},
{
"input": {
"stdin": "-1 1\n\nE@PNMR"
},
"output": {
"stdout": "3.14\n"
}
},
{
"input": {
"stdin": "17 26"
},
"output": {
"stdout": "41686.13\n"
}
},
{
"input": {
"stdin": "1 1\n\nS@NPLD"
},
"output": {
"stdout": "4.33\n"
}
},
{
"input": {
"stdin": "54 18"
},
"output": {
"stdout": "173558.62\n"
}
},
{
"input": {
"stdin": "0 26"
},
"output": {
"stdout": "7084.30\n"
}
},
{
"input": {
"stdin": "2 37"
},
"output": {
"stdout": "24777.94\n"
}
},
{
"input": {
"stdin": "8 3"
},
"output": {
"stdout": "642.79\n"
}
},
{
"input": {
"stdin": "21 6"
},
"output": {
"stdout": "8637.81\n"
}
},
{
"input": {
"stdin": "0 15"
},
"output": {
"stdout": "1360.35\n"
}
},
{
"input": {
"stdin": "8 41"
},
"output": {
"stdout": "53326.57\n"
}
},
{
"input": {
"stdin": "124 1"
},
"output": {
"stdout": "48306.70\n"
}
},
{
"input": {
"stdin": "3 21"
},
"output": {
"stdout": "6092.63\n"
}
},
{
"input": {
"stdin": "1 15"
},
"output": {
"stdout": "1724.74\n"
}
},
{
"input": {
"stdin": "-1 65"
},
"output": {
"stdout": "104567.14\n"
}
},
{
"input": {
"stdin": "94 1"
},
"output": {
"stdout": "27760.68\n"
}
},
{
"input": {
"stdin": "36 47"
},
"output": {
"stdout": "304474.04\n"
}
},
{
"input": {
"stdin": "0 3"
},
"output": {
"stdout": "10.88\n"
}
},
{
"input": {
"stdin": "0 20"
},
"output": {
"stdout": "3224.53\n"
}
},
{
"input": {
"stdin": "14 37"
},
"output": {
"stdout": "64984.68\n"
}
},
{
"input": {
"stdin": "0 37"
},
"output": {
"stdout": "20416.53\n"
}
}
] |
{
"tags": [],
"title": "largest-volume-84"
}
|
{
"cpp": null,
"java": null,
"python": "import math\nr,s=map(int,raw_input().split())\nmax_V=0\nR=r\nh=s\nwhile h>=0:\n\tt=s**2-(R-r)**2\n\tif t<0:\n\t\tbreak\n\th=t**.5\n\tV=(math.pi*h)*(r**2+R**2+R*r)/3.0\n\tif V>=max_V:\n\t\tmax_V=V\n\tR=R+0.001\n\t\nprint\"%0.2f\" % max_V"
}
|
HackerEarth/monk-and-tasks
|
Monk A loves to complete all his tasks just before the deadlines for introducing unwanted thrill in his life. But, there is another Monk D who hates this habit of Monk A and thinks it's risky.
To test Monk A, Monk D provided him tasks for N days in the form of an array Array, where the elements of the array represent the number of tasks.
The number of tasks performed by Monk A on the i^th day is the number of ones in the binary representation of Arrayi.
Monk A is fed up of Monk D, so to irritate him even more, he decides to print the tasks provided in non-decreasing order of the tasks performed by him on each day. Help him out!
Input:
The first line of input contains an integer T, where T is the number of test cases.
The first line of each test case contains N, where N is the number of days.
The second line of each test case contains Array array having N elements, where Arrayi represents the number of tasks provided by Monk D to Monk A on i^th day.
Output:
Print all the tasks provided to Monk A in the non-decreasing order of number of tasks performed by him.
Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 10^5
1 ≤ Arrayi ≤ 10^18
Note:
If two numbers have the same number of ones (set bits), print the one which came first in the input first, and then the other one, as in the input.
SAMPLE INPUT
1
4
3 4 7 10
SAMPLE OUTPUT
4 3 10 7
Explanation
In the sample input, T = 1 and N = 4, where N is the number of days.
Tasks provided to Monk A on first day is 3 and binary representation of 3 is { 11 }2, which contains 2 ones.
Tasks provided to Monk A on second day is 4 and binary representation of 4 is { 100 }2, which contains 1 ones.
Tasks provided to Monk A on third day is 7 and binary representation of 7 is { 111 }2, which contains 3 ones.
Tasks provided to Monk A on fourth day is 10 and binary representation of 10 is { 1010 }2, which contains 2 ones.
So the Output will be:
4 3 10 7
|
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},
"output": {
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1474592479 1595866558 1874459132 1291319292 2000682415 \n"
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},
"output": {
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},
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},
"output": {
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"output": {
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},
"output": {
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},
"output": {
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"output": {
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},
"output": {
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},
"output": {
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"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
"stdout": "304089173 135497282 213975408 619054082 35005212 42999171 378409504 168002246 8936988 1275373744 1359512184 424238336 24405584 749241874 572660337 1100661314 84353896 822890676 1703964684 352406220 160051529 338888229 1350573794 76065819 705178737 7684931 1237379108 387451660 11614770 628175012 608413785 137806863 939819583 1548233368 1749698587 270744730 327254587 439493452 1231192380 155324915 699564179 1285228805 654887344 1569229321 407487132 260152960 995706888 324763921 337739300 1369133070 1131176230 184803527 805750847 402724287 1633108118 1255179498 2040332872 1409959709 1911165194 1982275857 1244316438 1139901475 1626276122 1939964444 6939508 552473417 1143408283 776532037 1823089413 1562402337 1555319302 260401256 296864820 155789225 1682085274 1681692778 1714636916 719885387 1101513930 1653377374 859484422 1914544920 1477171088 709393585 1411549677 1892066602 593209442 1194953866 1947346620 289700724 387346492 1909002905 1351797370 680466997 1096689773 1544617506 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},
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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"output": {
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"output": {
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"output": {
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"output": {
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},
"output": {
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"output": {
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},
"output": {
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"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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},
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},
"output": {
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"output": {
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},
"output": {
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},
"output": {
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},
"output": {
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}
}
] |
{
"tags": [],
"title": "monk-and-tasks"
}
|
{
"cpp": null,
"java": null,
"python": "t = int(raw_input())\n\nfor i in range(t):\n\tn = int(raw_input())\t\n\tarr = map(int, raw_input().strip().split(' '))\n\ttasks = [None]*n\n\t\n\tfor j in range(n):\n\t\ttemp = arr[j]\n\t\tcount=0\n\t\twhile temp:\n\t\t\ttemp = temp&(temp-1)\n\t\t\tcount+=1\n\t\ttasks[j] = count\n\n\tat = zip(tasks, arr)\n\tat.sort(key=lambda t: t[0])\n\n\tfor j in range(n-1):\n\t\tprint at[j][1],\n\tprint at[n-1][1]"
}
|
HackerEarth/perfect-square-5
|
Shreyan is appearing for CAT examination and is stuck at a problem to find minimum value needed to be added or subtracted to make a number perfect square.You as his friend and a good programmer agrees to help him find the answer.
INPUT:
First line will contain no of test cases T (1 < T < 10000)
Next T lines will have integer N (1 < N < 1000000000000)
OUTPUT:
Print YES if the N is a perfect square.
If not then print the minimum value that must be added or subtracted to N to make it perfect square with sign
SAMPLE INPUT
3
25
168
19
SAMPLE OUTPUT
YES
+1
-3
Explanation
25 is prefect square so output is YES
168 is not perfect square but if 1 is added then 169 is perfect square.
19 is not perfect square but if 3 is subtracted it becomes 16 which is a perfect square and if 6 is added it becomes 25 which is perfect square but we choose 3 as its is the minimum value
|
[
{
"input": {
"stdin": "3\n25\n168\n19\n\nSAMPLE"
},
"output": {
"stdout": "YES\n+1\n-3\n"
}
},
{
"input": {
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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"input": {
"stdin": "3\n25\n168\n19"
},
"output": {
"stdout": "YES\n+1\n-3\n"
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n-9\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-94\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-70\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-4\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+10\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n19\n261\n19\n\nSAMPLF"
},
"output": {
"stdout": "-3\n-5\n-3\n"
}
},
{
"input": {
"stdin": "3\n25\n206\n19"
},
"output": {
"stdout": "YES\n-10\n-3\n"
}
},
{
"input": {
"stdin": "3\n1\n680\n5\n\nPLFMAS"
},
"output": {
"stdout": "YES\n-4\n-1\n"
}
},
{
"input": {
"stdin": 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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+23\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-33\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+23\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n-9\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+40\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-94\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-70\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-4\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n-14\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+10\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n-57\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n19\n466\n40\n\nPLFMAS"
},
"output": {
"stdout": "-3\n+18\n-4\n"
}
},
{
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"input": {
"stdin": "3\n44\n152\n31"
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"output": {
"stdout": "+5\n-8\n+5\n"
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n25\n95\n19\n\nSAMPLF"
},
"output": {
"stdout": "YES\n+5\n-3\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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}
},
{
"input": {
"stdin": "3\n0\n21\n5\n\nPLFMAS"
},
"output": {
"stdout": "YES\n+4\n-1\n"
}
},
{
"input": {
"stdin": "3\n10\n152\n58"
},
"output": {
"stdout": "-1\n-8\n+6\n"
}
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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"input": {
"stdin": "3\n19\n680\n40\n\nPLFMAS"
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"output": {
"stdout": "-3\n-4\n-4\n"
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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}
},
{
"input": {
"stdin": "3\n1\n21\n4\n\nPLFLAS"
},
"output": {
"stdout": "YES\n+4\nYES\n"
}
},
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n19\n167\n19\n\nSAMPLF"
},
"output": {
"stdout": "-3\n+2\n-3\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+10\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n19\n95\n19\n\nSAMPLF"
},
"output": {
"stdout": "-3\n+5\n-3\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-94\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-70\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-4\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+10\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+23\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-33\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+36\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+23\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n-7\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n-15\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-6\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+59\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n-9\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+40\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-45\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+4\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-94\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-70\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-4\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n-14\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+10\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n-57\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
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},
"output": {
"stdout": "-95\n+53\n+215\nYES\n+1\nYES\n-102\n-86\n+93\n+134\nYES\n-1\n+1\nYES\n-1\n-2\n+2\n+1\nYES\n-1\n-2\n-3\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n+1\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+5\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n-38\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n+13\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n-7\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-24\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+16\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n+17\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-51\n-60\n-61\n-62\n-63\n-64\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n-5\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+53\n+57\n+56\n+13\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-76\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+36\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+21\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+8\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n+38\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n+26\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n-77\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n-1\n-2\n-3\n-4\n-5\n-6\n-7\n-8\n-9\n-10\n-11\n-12\n-13\n-14\n-15\n-16\n-17\n-18\n-19\n-20\n-21\n-22\n-23\n-24\n-25\n-26\n-27\n-28\n-29\n-30\n-31\n-32\n-33\n-34\n-35\n-36\n-37\n-38\n-39\n-40\n-41\n-42\n-43\n-44\n-45\n-46\n-47\n-48\n-49\n-50\n-51\n-52\n-53\n-54\n-55\n-56\n-57\n-58\n-59\n-60\n-61\n-62\n-63\n-64\n-65\n-66\n-67\n-68\n-69\n-70\n-71\n-72\n-73\n-74\n-75\n-76\n-77\n-78\n-79\n-80\n-81\n-82\n-83\n-84\n-85\n-86\n-87\n-88\n-89\n-90\n-91\n-92\n-93\n-94\n-95\n-96\n-97\n-98\n-99\n+99\n+98\n+97\n+96\n+95\n+94\n+93\n+92\n+91\n+90\n+89\n+88\n+87\n+86\n+85\n+84\n+83\n+82\n+81\n+80\n+79\n+78\n+77\n+76\n+75\n+74\n+73\n+72\n+71\n+70\n+69\n+68\n+67\n+66\n+65\n+64\n+63\n+62\n+61\n+60\n+59\n+58\n+57\n+56\n+55\n+54\n+53\n+52\n+51\n+50\n+49\n+48\n+47\n+46\n+45\n+44\n+43\n+42\n+41\n+40\n+39\n+38\n+37\n+36\n+35\n+34\n+33\n+32\n+31\n+30\n+29\n+28\n+27\n+26\n+25\n+24\n+23\n+22\n+21\n+20\n+19\n+18\n+17\n+16\n+15\n+14\n+13\n+12\n+11\n+10\n+9\n+8\n+7\n+6\n+5\n+4\n+3\n+2\n+1\nYES\n"
}
},
{
"input": {
"stdin": "3\n0\n62\n5\n\nSAPFLL"
},
"output": {
"stdout": "YES\n+2\n-1\n"
}
}
] |
{
"tags": [],
"title": "perfect-square-5"
}
|
{
"cpp": null,
"java": null,
"python": "import math;\nt=int(input());\nfor i in range(0,t):\n\tn=int(input());\n\ts=\"\";\n\tk=int(math.sqrt(n));\n\td1=n-(k*k);\n\td2=((k+1)*(k+1))-n;\n\tif d1<d2 and d1!=0:\n\t\ts=\"-\"+str(d1);\n\t\tprint s;\n\telif d2<d1:\n\t\ts=\"+\"+str(d2);\n\t\tprint s;\n\telse:\n\t\tprint(\"YES\");"
}
|
HackerEarth/roy-and-matrix-sum-1
|
Roy has a matrix of size NxN. Rows and Columns are numbered from 0 to N-1.
jth column of ith row contains absolute difference between i and j.
In other words, Matrix[i][j] = abs(i-j) where 0 ≤ i, j < N.
Your task is to find sum of this matrix i.e.
sum = 0
for i=0 to N-1
for j=0 to N-1
sum += Matrix[i][j]
Caution: Use 64-bit integer for sum to avoid overflow
Input:
First line contains T - number of test cases
Following T lines each contains an integer N - size of matrix
Output:
For each test case output the result in a new line.
Constraints:
1 ≤ T ≤ 10
1 ≤ N ≤ 1000000
Sample Test Explanation:
Test Case 1:
Matrix will be:
0 1
1 0
Hence the sum is 2.
Test Case 2:
Matrix will look like:
0 1 2
1 0 1
2 1 0
The sum of above matrix is 8.
SAMPLE INPUT
2
2
3SAMPLE OUTPUT
2
8
|
[
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1000\n9999\n10000\n99999\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n333333000\n333233340000\n333333330000\n333323333400000\n333333333300000\n"
}
},
{
"input": {
"stdin": "10\n8\n4\n146\n100\n950\n1001\n9999\n10001\n99999\n110110"
},
"output": {
"stdout": "168\n20\n1037330\n333300\n285791350\n334334000\n333233340000\n333433340000\n333323333400000\n444998998073630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1010\n9999\n10010\n130144\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n343433330\n333233340000\n334334330330\n734769629965280\n333333333300000\n"
}
},
{
"input": {
"stdin": "10\n1\n1\n79\n110\n1304\n1001\n6\n11000\n189864\n100110"
},
"output": {
"stdout": "0\n0\n164320\n443630\n739113720\n334334000\n70\n443666663000\n2281427246671560\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n110\n1304\n1001\n11\n11000\n47856\n100110"
},
"output": {
"stdout": "240\n0\n164320\n443630\n739113720\n334334000\n440\n443666663000\n36533218316720\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n950\n1001\n9999\n10001\n99999\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n285791350\n334334000\n333233340000\n333433340000\n333323333400000\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n8\n1\n79\n100\n950\n1001\n9999\n10001\n99999\n100110"
},
"output": {
"stdout": "168\n0\n164320\n333300\n285791350\n334334000\n333233340000\n333433340000\n333323333400000\n334434543743630\n"
}
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{
"input": {
"stdin": "10\n9\n1\n79\n100\n950\n1001\n1364\n10001\n99999\n101110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n285791350\n334334000\n845905060\n333433340000\n333323333400000\n344556999176630\n"
}
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{
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}
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{
"input": {
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},
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"stdout": "240\n0\n164320\n333300\n285791350\n343433330\n256191460\n334434540440\n367701149116600\n334434543743630\n"
}
},
{
"input": {
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"stdout": "240\n330\n323400\n333300\n332334000\n334334000\n333233340000\n333333330000\n333323333400000\n334434543743630\n"
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{
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{
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}
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{
"input": {
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{
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},
{
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},
{
"input": {
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},
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"stdout": "240\n0\n164320\n333300\n285791350\n334334000\n256191460\n333333330000\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n110\n1304\n1001\n14\n11000\n372667\n100110"
},
"output": {
"stdout": "240\n0\n164320\n443630\n739113720\n334334000\n910\n443666663000\n17252083725497432\n334434543743630\n"
}
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{
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"stdout": "1938\n2\n323400\n333300\n285791350\n333333000\n333233340000\n333433340000\n553574300256342\n333433343300330\n"
}
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{
"input": {
"stdin": "10\n18\n2\n99\n100\n950\n1001\n9999\n10001\n99999\n100010"
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"stdout": "1938\n2\n323400\n333300\n285791350\n334334000\n333233340000\n333433340000\n333323333400000\n333433343300330\n"
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{
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{
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{
"input": {
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},
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"stdout": "240\n0\n164320\n333300\n270721768\n343433330\n256191460\n334434540440\n367701149116600\n334434543743630\n"
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{
"input": {
"stdin": "10\n9\n1\n79\n100\n1304\n1001\n321\n10000\n188422\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n739113720\n334334000\n11025280\n333333330000\n2229839339446342\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n1304\n1001\n321\n11000\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n739113720\n334334000\n11025280\n443666663000\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n4\n99\n100\n950\n1001\n9999\n10001\n99999\n100110"
},
"output": {
"stdout": "240\n20\n323400\n333300\n285791350\n334334000\n333233340000\n333433340000\n333323333400000\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n13\n10\n99\n100\n999\n1001\n9999\n10001\n99999\n100110"
},
"output": {
"stdout": "728\n330\n323400\n333300\n332334000\n334334000\n333233340000\n333433340000\n333323333400000\n334434543743630\n"
}
},
{
"input": {
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"stdout": "0\n0\n164320\n333300\n739113720\n334334000\n256191460\n443666663000\n367701149116600\n334434543743630\n"
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{
"input": {
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"stdout": "0\n0\n164320\n443630\n4625300808\n333333000\n70\n443666663000\n2281427246671560\n334434543743630\n"
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"input": {
"stdin": "10\n9\n10\n99\n110\n1621\n1001\n9999\n10100\n99999\n100110"
},
"output": {
"stdout": "240\n330\n323400\n443630\n1419801480\n334334000\n333233340000\n343433663300\n333323333400000\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1000\n7402\n10010\n99999\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n333333000\n135184213802\n334334330330\n333323333400000\n333333333300000\n"
}
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{
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"stdout": "1120\n0\n164320\n443630\n739113720\n334334000\n440\n443666663000\n367701149116600\n334434543743630\n"
}
},
{
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},
"output": {
"stdout": "728\n0\n164320\n333300\n285791350\n334334000\n7554968\n334334330330\n367701149116600\n334434543743630\n"
}
},
{
"input": {
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},
"output": {
"stdout": "240\n0\n164320\n443630\n739113720\n334334000\n440\n443666663000\n2281427246671560\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n1\n1\n79\n110\n1304\n1001\n14\n11000\n189864\n100110"
},
"output": {
"stdout": "0\n0\n164320\n443630\n739113720\n334334000\n910\n443666663000\n2281427246671560\n334434543743630\n"
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{
"input": {
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},
"output": {
"stdout": "240\n0\n164320\n455840\n739113720\n334334000\n910\n443666663000\n17252083725497432\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1000\n9999\n10010\n99999\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n333333000\n333233340000\n334334330330\n333323333400000\n333333333300000\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n950\n1000\n916\n10011\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n285791350\n333333000\n256191460\n334434540440\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n566\n1000\n7402\n10010\n175103\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n60440310\n333333000\n135184213802\n334334330330\n1789614565214208\n333333333300000\n"
}
},
{
"input": {
"stdin": "10\n9\n2\n79\n100\n840\n1001\n1364\n10001\n99999\n101110"
},
"output": {
"stdout": "240\n2\n164320\n333300\n197567720\n334334000\n845905060\n333433340000\n333323333400000\n344556999176630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n1304\n1001\n324\n11000\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n739113720\n334334000\n11337300\n443666663000\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n950\n1001\n916\n10011\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n285791350\n334334000\n256191460\n334434540440\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n1304\n1001\n916\n11000\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n739113720\n334334000\n256191460\n443666663000\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n1\n79\n100\n1304\n1001\n321\n10000\n103325\n100110"
},
"output": {
"stdout": "240\n0\n164320\n333300\n739113720\n334334000\n11025280\n333333330000\n367701149116600\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1010\n9999\n10010\n160049\n100000"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n343433330\n333233340000\n334334330330\n1366588117479200\n333333333300000\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n110\n999\n1001\n9999\n10000\n99999\n100110"
},
"output": {
"stdout": "240\n330\n323400\n443630\n332334000\n334334000\n333233340000\n333333330000\n333323333400000\n334434543743630\n"
}
},
{
"input": {
"stdin": "10\n9\n10\n99\n100\n999\n1000\n17188\n10000\n75714\n100100"
},
"output": {
"stdout": "240\n330\n323400\n333300\n332334000\n333333000\n1692601723828\n333333330000\n144679606006210\n334334333633300\n"
}
},
{
"input": {
"stdin": "10\n15\n1\n79\n110\n1536\n1001\n11\n11000\n103325\n100110"
},
"output": {
"stdout": "1120\n0\n164320\n443630\n1207959040\n334334000\n440\n443666663000\n367701149116600\n334434543743630\n"
}
}
] |
{
"tags": [],
"title": "roy-and-matrix-sum-1"
}
|
{
"cpp": null,
"java": null,
"python": "T=input();\nfor _ in xrange(T):\n\tN=input();\tprint ((N-1)*(N)*(N+1))/3;"
}
|
HackerEarth/strings-awesomeness
|
Vivek likes strings a lot but moreover he likes Awesome strings. Vivek calls a string str Awesome if zero or more letters of the string str can be rearranged to form the string "HackerEarth" (case insensitive). For eg : strings HackerEarth , Earthhacker , haeackerrth are all Awesome strings whereas strings HE, Mycareerstack , hackerrearth are not Awesome at all.
Today, Vivek has a special string consisting of both lower case and upper case alphabets letters only. Vivek wants to query this string for the number of Awesome strings.
Each of Vivek's query has the following form L R. For a given query, Vivek wants to count the number of Awesome strings such that starting index S and ending index E of the string follows L ≤ S<E ≤ R.
NOTE
Two strings are considered to be different if either S1 != S2 or E1 != E2 where S1,E1 and S2,E2 are the starting and ending index of string 1 and string 2 respectively.
Help Vivek accomplishing this task.
Input
First line of the input contains a string S denoting the Vivek's special string. Next line of the input contains a single integer Q denoting the number of Vivek's queries. Next Q lines of the input contains two integers denoting L and R respectively.
Output
For each Vivek's query, print the required answer.
Constraints
1 ≤ |S| ≤ 5x10^5
1 ≤ Q ≤ 5x10^5
1 ≤ L ≤ R ≤ |S|
S belongs to the set of both lower case and upper case alphabets letters only.
Subtask:
subtask 1 : 1 ≤ N,Q ≤ 10000 : 20 points
subtask 2 : 1 ≤ N,Q ≤ 10^5 : 20 points
subtask 3 : 1 ≤ N,Q ≤ 5x10^5 : 60 points
NOTE
large input / output data sets, be careful with some languages.
SAMPLE INPUT
HackerEarthhACKEReARTH
5
1 11
2 15
5 15
7 20
7 22
SAMPLE OUTPUT
1
4
1
4
6Explanation
Q1 : "HackerEarth" is the only awesome string.
Q2 : "ackerEarthh","ckerEarthhA","kerEarthhAC","erEarthhACK" are all awesome strings.
Q3: "erEarthhACK" is the only awesome string.
Q4: "EarthhACKER","arthhACKERe","rthhACKEReA","thhACKEReAR" are all awesome strings.
Q5: "EarthhACKER","arthhACKERe","rthhACKEReA","thhACKEReAR","hhACKEReART","hACKEReARTH" are all awesome strings.
|
[
{
"input": {
"stdin": "HackerEarthhACKEReARTH\n5\n1 11\n2 15\n5 15\n7 20\n7 22\n\nSAMPLE"
},
"output": {
"stdout": "1\n4\n1\n4\n6"
}
}
] |
{
"tags": [],
"title": "strings-awesomeness"
}
|
{
"cpp": null,
"java": null,
"python": "p=[0]*500001\nc=[0]*26\nt=[0]*26\nc[ord('h')-97]=c[ord('a')-97]=c[ord('e')-97]=c[ord('r')-97]=2\nc[ord('c')-97]=c[ord('k')-97]=c[ord('t')-97]=1;\n\ns=raw_input().lower()\n\nk=len(s)\nif k>10:\n\tfor i in range(11):\n\t\tt[ord(s[i])-97]+=1\n\t\tif t==c:\n\t\t\tp[10]=1\n\tfor i in range(11,k):\n\t\tp[i]=p[i-1]\n\t\tif s[i]==s[i-11]:\n\t\t\tif p[i-1]==p[i-2]+1:\n\t\t\t\tp[i]+=1\n\t\telse:\n\t\t\tt[ord(s[i])-97]+=1\n\t\t\tt[ord(s[i-11])-97]-=1\n\t\t\tif t==c:\n\t\t\t\tp[i]+=1\np[k]=p[k-1]\nfor q in range(input()):\n\ti,j=map(int,raw_input().split())\n\tif j-i>9: print p[j-1]-p[i+8]\n\telse: print 0"
}
|
HackerEarth/vaishnav-and-factorials
|
As we have seen our little Vaishanavi playing with the plywood, her brother Vaishnav was playing
with numbers.
Read about Factorial
As we all know this kid always thinks in a different way than others think. He have some numbers with him. He wants to find out that if he finds the factorial of the numbers that he have how many times his lucky numbers are there in the factorial. Indeed this is simple.
Please help our little Vaishnav. Because you are ready to help him he will tell you that he has 2 lucky numbers
that are '4' & '7'. So if the number is 6 factorial is 720. So the count is 1. Suppose you got the
factorial as 447(JUST IMAGINE) your answer will be 3.
Input:
First line contains a single integer T, the number of test cases, followed by next T lines contains a single integer N.
Output:
Print the output for each query and separate each by an empty line.
Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 250
Problem Setter : Bipin Baburaj
Problem Tester : Darshak Mehta
SAMPLE INPUT
3
1
6
8
SAMPLE OUTPUT
0
1
1
|
[
{
"input": {
"stdin": "3\n1\n6\n8\n\nSAMPLE"
},
"output": {
"stdout": "0\n1\n1\n"
}
},
{
"input": {
"stdin": "100\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249"
},
"output": {
"stdout": "70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n"
}
},
{
"input": {
"stdin": "3\n1\n3\n4\n\nRAMPLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n2\n\nMAQPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n50\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n12\n"
}
},
{
"input": {
"stdin": "100\n200\n220\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249\n200\n201\n202\n203\n204\n191\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n83\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249"
},
"output": {
"stdout": "70\n82\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n70\n65\n74\n60\n69\n54\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n22\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nPALRME"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n9\n\nARMPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n7\n15\n\nELPMAR"
},
"output": {
"stdout": "0\n1\n3\n"
}
},
{
"input": {
"stdin": "3\n1\n1\n1\n\nRAMPLE"
},
"output": {
"stdout": "0\n0\n0\n"
}
},
{
"input": {
"stdin": "3\n2\n42\n8\n\nELPLAQ"
},
"output": {
"stdout": "0\n9\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n4\n\nEPRALM"
},
"output": {
"stdout": "0\n1\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n9\n\nRAMELP"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n15\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n3\n"
}
},
{
"input": {
"stdin": "3\n4\n1\n8\n\nRAMPLE"
},
"output": {
"stdout": "1\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n4\n\nMLARPE"
},
"output": {
"stdout": "0\n1\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n1\n4\n\nEMRLAP"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n28\n\nRAMELP"
},
"output": {
"stdout": "0\n1\n5\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nRPLAME"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n6\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nEMALPR"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n8\n\nSAMOLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n8\n\nSAMPLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n2\n1\n4\n\nEMRLAP"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n15\n\nELPMAR"
},
"output": {
"stdout": "0\n1\n3\n"
}
},
{
"input": {
"stdin": "3\n2\n12\n3\n\nMAEPLQ"
},
"output": {
"stdout": "0\n2\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n2\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n2\n10\n20\n\nELPMAR"
},
"output": {
"stdout": "0\n0\n3\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n1\n\nQAMPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n1\n6\n\nELPMAR"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n28\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n5\n"
}
},
{
"input": {
"stdin": "100\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n198\n232\n233\n234\n235\n236\n237\n238\n129\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249"
},
"output": {
"stdout": "70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n60\n70\n78\n64\n88\n82\n82\n85\n34\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n5\n\nSAMPLE"
},
"output": {
"stdout": "0\n0\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n1\n8\n\nRAMPLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n4\n2\n31\n\nMAEQLR"
},
"output": {
"stdout": "1\n0\n5\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nEMPLAR"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n6\n2\n\nRAMPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n2\n\nQAMPLE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n4\n4\n1\n\nEPRALM"
},
"output": {
"stdout": "1\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nRALPME"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n5\n8\n\nRAMPLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n14\n8\n\nRAMPLE"
},
"output": {
"stdout": "0\n2\n1\n"
}
},
{
"input": {
"stdin": "3\n1\n4\n1\n\nRLMPAE"
},
"output": {
"stdout": "0\n1\n0\n"
}
},
{
"input": {
"stdin": "3\n1\n2\n4\n\nEMRLAP"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "100\n200\n220\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249"
},
"output": {
"stdout": "70\n82\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n"
}
},
{
"input": {
"stdin": "100\n200\n220\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n217\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249\n200\n201\n202\n203\n204\n205\n206\n207\n208\n209\n210\n211\n212\n213\n214\n215\n216\n83\n218\n219\n220\n221\n222\n223\n224\n225\n226\n227\n228\n229\n230\n231\n232\n233\n234\n235\n236\n237\n238\n239\n240\n241\n242\n243\n244\n245\n246\n247\n248\n249"
},
"output": {
"stdout": "70\n82\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n82\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n70\n65\n74\n60\n69\n48\n63\n57\n64\n63\n72\n77\n83\n78\n67\n62\n62\n22\n60\n54\n82\n77\n68\n68\n89\n83\n67\n81\n88\n86\n76\n72\n70\n78\n64\n88\n82\n82\n85\n80\n69\n95\n90\n92\n74\n84\n84\n83\n85\n75\n"
}
},
{
"input": {
"stdin": "3\n1\n10\n8\n\nRALPLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
},
{
"input": {
"stdin": "3\n3\n1\n19\n\nS@MPLE"
},
"output": {
"stdout": "0\n0\n2\n"
}
},
{
"input": {
"stdin": "3\n2\n13\n18\n\nMAEPLQ"
},
"output": {
"stdout": "0\n1\n4\n"
}
},
{
"input": {
"stdin": "3\n1\n3\n4\n\nRAMQLE"
},
"output": {
"stdout": "0\n0\n1\n"
}
}
] |
{
"tags": [],
"title": "vaishnav-and-factorials"
}
|
{
"cpp": null,
"java": null,
"python": "for i in range(int(raw_input())):\n\tt=int(raw_input())\n\tfact=1\n\tfor i in range(1,t+1):\n\t\tfact=fact*i\n\tstr(fact).rstrip('0')\n\tprint str(fact).count('4')+str(fact).count('7')"
}
|
p02601 M-SOLUTIONS Programming Contest 2020 - Magic 2
|
M-kun has the following three cards:
* A red card with the integer A.
* A green card with the integer B.
* A blue card with the integer C.
He is a genius magician who can do the following operation at most K times:
* Choose one of the three cards and multiply the written integer by 2.
His magic is successful if both of the following conditions are satisfied after the operations:
* The integer on the green card is strictly greater than the integer on the red card.
* The integer on the blue card is strictly greater than the integer on the green card.
Determine whether the magic can be successful.
Constraints
* 1 \leq A, B, C \leq 7
* 1 \leq K \leq 7
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
A B C
K
Output
If the magic can be successful, print `Yes`; otherwise, print `No`.
Examples
Input
7 2 5
3
Output
Yes
Input
7 4 2
3
Output
No
|
[
{
"input": {
"stdin": "7 4 2\n3"
},
"output": {
"stdout": "No"
}
},
{
"input": {
"stdin": "7 2 5\n3"
},
"output": {
"stdout": "Yes"
}
},
{
"input": {
"stdin": "12 7 7\n7"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "0 6 5\n4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 4 4\n4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 4 4\n3"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "2 2 1\n10"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 2 5\n4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "12 4 4\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 4 2\n1"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "16 2 2\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "12 2 2\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "13 4 1\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "6 3 6\n5"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "1 2 9\n6"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "8 2 8\n3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "13 5 1\n10"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "1 2 3\n2"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 3 4\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 4 1\n1"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-1 2 4\n5"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "0 2 6\n6"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "2 1 6\n4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 3 6\n5"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "2 2 1\n6"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "8 2 4\n3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "12 5 4\n7"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "12 5 4\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "17 5 2\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 4 4\n0"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "47 3 2\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 2 4\n5"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 3 4\n3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "7 4 5\n4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "4 3 1\n3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "47 4 2\n9"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "1 2 6\n2"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 3 4\n13"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "5 2 4\n5"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 1 4\n13"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "2 2 6\n2"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "8 3 4\n3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "1 2 1\n6"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "4 3 1\n2"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "8 3 7\n1"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "12 4 7\n7"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "37 2 2\n9"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "1 2 1\n9"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "1 2 3\n6"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "7 3 4\n5"
},
"output": {
"stdout": "Yes\n"
}
}
] |
{
"tags": [],
"title": "p02601 M-SOLUTIONS Programming Contest 2020 - Magic 2"
}
|
{
"cpp": "#include<bits/stdc++.h>\nusing namespace std;\nint main()\n{\n int a,b,c,k;\n cin>>a>>b>>c>>k;\n while(a>=b)\n b*=2,k--;\n while(b>=c)\n c*=2,k--;\n if(k>=0)cout<<\"Yes\"<<endl;\n else cout<<\"No\"<<endl;\n return 0;\n}\n",
"java": "import java.util.Scanner;\nclass Main {\n public static void main(String[] args) {\n Scanner sc = new Scanner(System.in);\n int a = sc.nextInt();\n int b = sc.nextInt();\n int c = sc.nextInt();\n int k = sc.nextInt();\n\n int count = k;\n String YorN = \"No\";\n while(a >= b && count > 0) {\n b = b*2;\n count--;\n }\n while(b >= c & count > 0) {\n c = c*2;\n count--;\n }\n if(a < b && b < c) YorN = \"Yes\";\n System.out.println(YorN);\n }\n}",
"python": "a,b,c=map(int,input().split())\nk=int(input())\nx=0\nwhile b<=a:\n b=b<<1\n x+=1\nwhile c<=b:\n c=c<<1\n x+=1\nif x<=k:\n print(\"Yes\")\nelse:\n print(\"No\")\n \n"
}
|
p02732 AtCoder Beginner Contest 159 - Banned K
|
We have N balls. The i-th ball has an integer A_i written on it.
For each k=1, 2, ..., N, solve the following problem and print the answer.
* Find the number of ways to choose two distinct balls (disregarding order) from the N-1 balls other than the k-th ball so that the integers written on them are equal.
Constraints
* 3 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
For each k=1,2,...,N, print a line containing the answer.
Examples
Input
5
1 1 2 1 2
Output
2
2
3
2
3
Input
4
1 2 3 4
Output
0
0
0
0
Input
5
3 3 3 3 3
Output
6
6
6
6
6
Input
8
1 2 1 4 2 1 4 1
Output
5
7
5
7
7
5
7
5
|
[
{
"input": {
"stdin": "8\n1 2 1 4 2 1 4 1"
},
"output": {
"stdout": "5\n7\n5\n7\n7\n5\n7\n5"
}
},
{
"input": {
"stdin": "5\n1 1 2 1 2"
},
"output": {
"stdout": "2\n2\n3\n2\n3"
}
},
{
"input": {
"stdin": "4\n1 2 3 4"
},
"output": {
"stdout": "0\n0\n0\n0"
}
},
{
"input": {
"stdin": "5\n3 3 3 3 3"
},
"output": {
"stdout": "6\n6\n6\n6\n6"
}
},
{
"input": {
"stdin": "8\n1 1 2 1 2 0 4 1"
},
"output": {
"stdout": "4\n4\n6\n4\n6\n7\n7\n4\n"
}
},
{
"input": {
"stdin": "8\n2 1 0 1 4 1 6 1"
},
"output": {
"stdout": "6\n3\n6\n3\n6\n3\n6\n3\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 4 2 2 7 1"
},
"output": {
"stdout": "4\n4\n4\n6\n4\n4\n6\n4\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 2 1 0 4 1"
},
"output": {
"stdout": "3\n3\n4\n3\n4\n4\n5\n4\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 1 1 0 0 1"
},
"output": {
"stdout": "6\n6\n5\n5\n5\n5\n5\n5\n"
}
},
{
"input": {
"stdin": "8\n2 4 1 6 2 0 4 0"
},
"output": {
"stdout": "2\n2\n3\n3\n2\n2\n2\n2\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 6 2 1 4 1"
},
"output": {
"stdout": "4\n6\n4\n7\n6\n4\n7\n4\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 4 0 1 3 4"
},
"output": {
"stdout": "2\n4\n2\n3\n4\n2\n4\n3\n"
}
},
{
"input": {
"stdin": "8\n2 1 1 6 2 0 4 1"
},
"output": {
"stdout": "3\n2\n2\n4\n3\n4\n4\n2\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 1 1 0 4 1"
},
"output": {
"stdout": "4\n4\n4\n3\n3\n4\n5\n3\n"
}
},
{
"input": {
"stdin": "5\n1 -1 2 1 0"
},
"output": {
"stdout": "0\n1\n1\n0\n1\n"
}
},
{
"input": {
"stdin": "5\n1 4 2 1 2"
},
"output": {
"stdout": "1\n2\n1\n1\n1\n"
}
},
{
"input": {
"stdin": "5\n1 1 2 -1 0"
},
"output": {
"stdout": "0\n0\n1\n1\n1\n"
}
},
{
"input": {
"stdin": "5\n0 1 2 1 2"
},
"output": {
"stdout": "2\n1\n1\n1\n1\n"
}
},
{
"input": {
"stdin": "8\n1 1 1 1 1 0 4 1"
},
"output": {
"stdout": "10\n10\n10\n10\n10\n15\n15\n10\n"
}
},
{
"input": {
"stdin": "5\n1 1 2 2 1"
},
"output": {
"stdout": "2\n2\n3\n3\n2\n"
}
},
{
"input": {
"stdin": "8\n2 0 2 6 0 0 1 1"
},
"output": {
"stdout": "4\n3\n4\n5\n3\n3\n4\n4\n"
}
},
{
"input": {
"stdin": "8\n2 1 1 6 0 -1 3 1"
},
"output": {
"stdout": "3\n1\n1\n3\n3\n3\n3\n1\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 4 2 2 4 1"
},
"output": {
"stdout": "5\n5\n5\n6\n5\n5\n6\n5\n"
}
},
{
"input": {
"stdin": "8\n2 0 0 1 1 0 0 0"
},
"output": {
"stdout": "11\n7\n7\n10\n10\n7\n7\n7\n"
}
},
{
"input": {
"stdin": "8\n0 6 1 6 2 1 4 1"
},
"output": {
"stdout": "4\n3\n2\n3\n4\n2\n4\n2\n"
}
},
{
"input": {
"stdin": "8\n0 3 1 6 2 0 4 1"
},
"output": {
"stdout": "1\n2\n1\n2\n2\n1\n2\n1\n"
}
},
{
"input": {
"stdin": "8\n2 1 0 5 0 0 4 1"
},
"output": {
"stdout": "4\n3\n2\n4\n2\n2\n4\n3\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 3 1 -1 3 1"
},
"output": {
"stdout": "2\n2\n3\n2\n2\n3\n2\n2\n"
}
},
{
"input": {
"stdin": "5\n1 1 4 1 2"
},
"output": {
"stdout": "1\n1\n3\n1\n3\n"
}
},
{
"input": {
"stdin": "5\n1 0 2 1 1"
},
"output": {
"stdout": "1\n3\n3\n1\n1\n"
}
},
{
"input": {
"stdin": "8\n1 2 1 6 2 0 4 1"
},
"output": {
"stdout": "2\n3\n2\n4\n3\n4\n4\n2\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 5 1 0 4 1"
},
"output": {
"stdout": "2\n2\n2\n3\n2\n2\n3\n2\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 1 1 0 0 0"
},
"output": {
"stdout": "7\n7\n5\n7\n7\n5\n5\n5\n"
}
},
{
"input": {
"stdin": "5\n0 0 2 1 0"
},
"output": {
"stdout": "1\n1\n3\n3\n1\n"
}
},
{
"input": {
"stdin": "4\n0 2 3 2"
},
"output": {
"stdout": "1\n0\n1\n0\n"
}
},
{
"input": {
"stdin": "8\n2 0 0 1 1 -1 0 0"
},
"output": {
"stdout": "7\n4\n4\n6\n6\n7\n4\n4\n"
}
},
{
"input": {
"stdin": "8\n1 0 1 0 2 0 4 1"
},
"output": {
"stdout": "4\n4\n4\n4\n6\n4\n6\n4\n"
}
},
{
"input": {
"stdin": "5\n3 3 2 3 3"
},
"output": {
"stdout": "3\n3\n6\n3\n3\n"
}
},
{
"input": {
"stdin": "5\n3 1 1 3 5"
},
"output": {
"stdout": "1\n1\n1\n1\n2\n"
}
},
{
"input": {
"stdin": "5\n0 3 2 3 3"
},
"output": {
"stdout": "3\n1\n3\n1\n1\n"
}
},
{
"input": {
"stdin": "5\n1 1 0 0 0"
},
"output": {
"stdout": "3\n3\n2\n2\n2\n"
}
},
{
"input": {
"stdin": "8\n1 1 1 6 2 0 4 1"
},
"output": {
"stdout": "3\n3\n3\n6\n6\n6\n6\n3\n"
}
},
{
"input": {
"stdin": "5\n0 1 2 1 0"
},
"output": {
"stdout": "1\n1\n2\n1\n1\n"
}
},
{
"input": {
"stdin": "5\n2 1 1 3 5"
},
"output": {
"stdout": "1\n0\n0\n1\n1\n"
}
},
{
"input": {
"stdin": "8\n2 2 0 3 0 -1 3 1"
},
"output": {
"stdout": "2\n2\n2\n2\n2\n3\n2\n3\n"
}
},
{
"input": {
"stdin": "8\n2 4 1 6 2 0 4 -1"
},
"output": {
"stdout": "1\n1\n2\n2\n1\n2\n1\n2\n"
}
},
{
"input": {
"stdin": "8\n1 0 2 1 2 0 4 1"
},
"output": {
"stdout": "3\n4\n4\n3\n4\n4\n5\n3\n"
}
},
{
"input": {
"stdin": "4\n2 2 3 4"
},
"output": {
"stdout": "0\n0\n1\n1\n"
}
},
{
"input": {
"stdin": "8\n2 0 1 6 0 0 3 1"
},
"output": {
"stdout": "4\n2\n3\n4\n2\n2\n4\n3\n"
}
},
{
"input": {
"stdin": "8\n2 2 1 5 1 0 4 1"
},
"output": {
"stdout": "3\n3\n2\n4\n2\n4\n4\n2\n"
}
}
] |
{
"tags": [],
"title": "p02732 AtCoder Beginner Contest 159 - Banned K"
}
|
{
"cpp": "#include<bits/stdc++.h>\nusing namespace std;\nusing ll=long long;\nint n,a[1<<18],h[1<<18];\nll tot;\nint main(){\n\tscanf(\"%d\",&n);\n\tfor(int i=1;i<=n;i++)scanf(\"%d\",a+i),h[a[i]]++;\n\tfor(int i=1;i<=n;i++)tot+=1ll*h[i]*(h[i]-1)/2;\n\tfor(int i=1;i<=n;i++)printf(\"%lld\\n\",tot-(h[a[i]]-1));\n\treturn 0;\n}",
"java": "import java.util.Scanner;\n\npublic class Main{\n\n\tpublic static void main(String[] args) {\n\t\tScanner input = new Scanner(System.in);\n\t\tint N = input.nextInt();\n\t\tint[] dp = new int[N+1];\n\t\tint[] arr = new int[N];\n\t\tfor (int i = 0; i < N; i++) {\n\t\t\tarr[i] = input.nextInt();\n\t\t\tdp[arr[i]]++;\n\t\t}\n\t\tlong TOTAL = 0;\n\t\tfor (int i = 1; i <= N; i++) {\n\t\t\tTOTAL+=C2(dp[i]);\n\t\t}\n\t\tfor (int k = 0; k < N; k++) {\n\t\t\tlong Temp = TOTAL-C2(dp[arr[k]]);\n\t\t\tTemp+=C2(dp[arr[k]]-1);\n\t\t\tSystem.out.println(Temp);\n\t\t}\n\t}\n\tpublic static long C2(long N) {\n\t\treturn N*(N-1)/2;\n\t}\n}",
"python": "import collections\nN= int(input())\nA = list(map(int, input().split()))\nb = collections.Counter(A)\nC=0\nfor i in b.values():\n C+=i*(i-1)/2\n\nfor i in range(N):\n print(int(C-(b[A[i]])+1))"
}
|
p02865 NIKKEI Programming Contest 2019-2 - Sum of Two Integers
|
How many ways are there to choose two distinct positive integers totaling N, disregarding the order?
Constraints
* 1 \leq N \leq 10^6
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
4
Output
1
Input
999999
Output
499999
|
[
{
"input": {
"stdin": "4"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "999999"
},
"output": {
"stdout": "499999"
}
},
{
"input": {
"stdin": "21312"
},
"output": {
"stdout": "10655\n"
}
},
{
"input": {
"stdin": "-119"
},
"output": {
"stdout": "-60\n"
}
},
{
"input": {
"stdin": "-137"
},
"output": {
"stdout": "-69\n"
}
},
{
"input": {
"stdin": "-30"
},
"output": {
"stdout": "-16\n"
}
},
{
"input": {
"stdin": "1555"
},
"output": {
"stdout": "777\n"
}
},
{
"input": {
"stdin": "245898"
},
"output": {
"stdout": "122948\n"
}
},
{
"input": {
"stdin": "31927"
},
"output": {
"stdout": "15963\n"
}
},
{
"input": {
"stdin": "21"
},
"output": {
"stdout": "10\n"
}
},
{
"input": {
"stdin": "3256265"
},
"output": {
"stdout": "1628132\n"
}
},
{
"input": {
"stdin": "15"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "27"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "23"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "27115"
},
"output": {
"stdout": "13557\n"
}
},
{
"input": {
"stdin": "-48"
},
"output": {
"stdout": "-25\n"
}
},
{
"input": {
"stdin": "11230"
},
"output": {
"stdout": "5614\n"
}
},
{
"input": {
"stdin": "39287"
},
"output": {
"stdout": "19643\n"
}
},
{
"input": {
"stdin": "36"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "76195"
},
"output": {
"stdout": "38097\n"
}
},
{
"input": {
"stdin": "-32"
},
"output": {
"stdout": "-17\n"
}
},
{
"input": {
"stdin": "25408"
},
"output": {
"stdout": "12703\n"
}
},
{
"input": {
"stdin": "14"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "887"
},
"output": {
"stdout": "443\n"
}
},
{
"input": {
"stdin": "17"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "52"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "-113"
},
"output": {
"stdout": "-57\n"
}
},
{
"input": {
"stdin": "25"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "-47"
},
"output": {
"stdout": "-24\n"
}
},
{
"input": {
"stdin": "12"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "-38"
},
"output": {
"stdout": "-20\n"
}
},
{
"input": {
"stdin": "0"
},
"output": {
"stdout": "-1\n"
}
},
{
"input": {
"stdin": "-169"
},
"output": {
"stdout": "-85\n"
}
},
{
"input": {
"stdin": "-16"
},
"output": {
"stdout": "-9\n"
}
},
{
"input": {
"stdin": "235323"
},
"output": {
"stdout": "117661\n"
}
},
{
"input": {
"stdin": "825"
},
"output": {
"stdout": "412\n"
}
},
{
"input": {
"stdin": "8"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "33"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "-51"
},
"output": {
"stdout": "-26\n"
}
},
{
"input": {
"stdin": "-9"
},
"output": {
"stdout": "-5\n"
}
},
{
"input": {
"stdin": "-73"
},
"output": {
"stdout": "-37\n"
}
},
{
"input": {
"stdin": "-103"
},
"output": {
"stdout": "-52\n"
}
},
{
"input": {
"stdin": "1412384"
},
"output": {
"stdout": "706191\n"
}
},
{
"input": {
"stdin": "-15"
},
"output": {
"stdout": "-8\n"
}
},
{
"input": {
"stdin": "-55"
},
"output": {
"stdout": "-28\n"
}
},
{
"input": {
"stdin": "-20"
},
"output": {
"stdout": "-11\n"
}
},
{
"input": {
"stdin": "-40"
},
"output": {
"stdout": "-21\n"
}
},
{
"input": {
"stdin": "51220"
},
"output": {
"stdout": "25609\n"
}
},
{
"input": {
"stdin": "52152"
},
"output": {
"stdout": "26075\n"
}
},
{
"input": {
"stdin": "-58"
},
"output": {
"stdout": "-30\n"
}
}
] |
{
"tags": [],
"title": "p02865 NIKKEI Programming Contest 2019-2 - Sum of Two Integers"
}
|
{
"cpp": "#include <iostream>\nusing namespace std;\nint main()\n{\n \tint n;\n \tcin>>n;\n \tint s=(n-1)/2;\n \tcout<<s;\n return (0);\n}",
"java": "import java.util.Scanner;\n \n public class Main { //クラス名はMain\n public static void main(String[] args) {\n //コード\n Scanner sc = new Scanner(System.in);\n int n1 = sc.nextInt();\n int seigen = 0;\n //値の代入\n if (Math.abs(n1) % 2 == 0) {\n //偶数\n seigen = (n1 / 2);\n }\n else {\n //奇数\n seigen = (n1 / 2);\n seigen++;\n }\n \n int count = 0;\n for(int i=1;i<seigen;i++) {\n if (n1 - i > 0){\n \t\t\tcount++;\n \t\t\t}\n \t\telse{\n \t\t// 処理なし\n \t\t\t}\n }\n System.out.println(count);\n }\n }",
"python": "\n\nN = int(input())\n\nans = (N+1)//2-1\n\nprint(ans)"
}
|
p03000 AtCoder Beginner Contest 130 - Bounding
|
A ball will bounce along a number line, making N + 1 bounces. It will make the first bounce at coordinate D_1 = 0, and the i-th bounce (2 \leq i \leq N+1) at coordinate D_i = D_{i-1} + L_{i-1}.
How many times will the ball make a bounce where the coordinate is at most X?
Constraints
* 1 \leq N \leq 100
* 1 \leq L_i \leq 100
* 1 \leq X \leq 10000
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N X
L_1 L_2 ... L_{N-1} L_N
Output
Print the number of times the ball will make a bounce where the coordinate is at most X.
Examples
Input
3 6
3 4 5
Output
2
Input
4 9
3 3 3 3
Output
4
|
[
{
"input": {
"stdin": "4 9\n3 3 3 3"
},
"output": {
"stdout": "4"
}
},
{
"input": {
"stdin": "3 6\n3 4 5"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "4 9\n4 6 1 3"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "0 10\n22 0 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 12\n51 1 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 2 6"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 3 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "0 6\n51 0 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 9\n4 10 2 10"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "0 10\n15 0 2 2"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "3 12\n16 8 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n4 2 0 5"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 4 6"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "0 11\n58 9 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n4 2 0 3"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 3 6"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "0 6\n51 0 1 6"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 10\n24 0 1 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "3 9\n16 5 1 12"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 9\n7 10 1 2"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "1 9\n4 6 2 6"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "0 1\n58 9 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 11\n51 9 0 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 9\n4 10 2 15"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "0 10\n15 0 4 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "4 6\n6 3 0 1"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "0 11\n51 0 2 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "3 12\n16 9 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 10\n15 -1 2 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 6\n3 4 5"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "3 12\n16 9 1 3"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n3 6 3 0"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "0 10\n51 1 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 10\n15 0 2 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "0 10\n51 0 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "1 14\n13 18 1 1"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "3 1\n31 9 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 9\n4 2 1 5"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "4 9\n4 2 2 5"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "0 11\n51 0 1 17"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "3 9\n9 4 2 12"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "3 6\n3 1 5"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "0 0\n15 -1 2 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "4 7\n4 2 1 5"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "1 14\n7 18 1 2"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "4 9\n5 5 2 12"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "4 6\n3 3 0 1"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "1 9\n7 7 1 2"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "4 6\n3 3 3 3"
},
"output": {
"stdout": "3\n"
}
}
] |
{
"tags": [],
"title": "p03000 AtCoder Beginner Contest 130 - Bounding"
}
|
{
"cpp": "#include <iostream>\nusing namespace std;\nint main() {\n int n, x, ans = 1, at;\n cin >> n >> x;\n for (int i = 0; i < n; i++) {\n int l;\n cin >> l;\n at += l;\n if (at <= x) ans++;\n }\n cout << ans << endl;\n}\n",
"java": "import java.util.Scanner;\n\nclass Main {\n public static void main(String[] args) {\n\n Scanner sc = new Scanner(System.in);\n int N = sc.nextInt();\n int X = sc.nextInt();\n int D = 0;\n int count = 1;\n\n for (int i = 0; i < N; i++) {\n int L = sc.nextInt();\n D += L;\n if (D <= X) {\n count++;\n }\n }\n\n System.out.println(count);\n }\n\n}",
"python": "N,X=map(int,input().split())\nL=list(map(int,input().split()))\ncount=1\ntmp=0\nfor i in range(N):\n tmp+=L[i]\n if tmp<=X:\n count+=1\nprint(count)"
}
|
p03141 NIKKEI Programming Contest 2019 - Different Strokes
|
There are N dishes of cuisine placed in front of Takahashi and Aoki. For convenience, we call these dishes Dish 1, Dish 2, ..., Dish N.
When Takahashi eats Dish i, he earns A_i points of happiness; when Aoki eats Dish i, she earns B_i points of happiness.
Starting from Takahashi, they alternately choose one dish and eat it, until there is no more dish to eat. Here, both of them choose dishes so that the following value is maximized: "the sum of the happiness he/she will earn in the end" minus "the sum of the happiness the other person will earn in the end".
Find the value: "the sum of the happiness Takahashi earns in the end" minus "the sum of the happiness Aoki earns in the end".
Constraints
* 1 \leq N \leq 10^5
* 1 \leq A_i \leq 10^9
* 1 \leq B_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 B_1
:
A_N B_N
Output
Print the value: "the sum of the happiness Takahashi earns in the end" minus "the sum of the happiness Aoki earns in the end".
Examples
Input
3
10 10
20 20
30 30
Output
20
Input
3
20 10
20 20
20 30
Output
20
Input
6
1 1000000000
1 1000000000
1 1000000000
1 1000000000
1 1000000000
1 1000000000
Output
-2999999997
|
[
{
"input": {
"stdin": "3\n20 10\n20 20\n20 30"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "3\n10 10\n20 20\n30 30"
},
"output": {
"stdout": "20"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000000"
},
"output": {
"stdout": "-2999999997"
}
},
{
"input": {
"stdin": "3\n-1 10\n20 5\n1 54"
},
"output": {
"stdout": "-5\n"
}
},
{
"input": {
"stdin": "6\n2 1000000000\n0 0000010000\n0 1100000000\n-2 1010110100\n2 1100000010\n1 1000000001"
},
"output": {
"stdout": "-2100009999\n"
}
},
{
"input": {
"stdin": "6\n-1 0000110001\n0 0110011010\n0 1110000001\n-1 0100100000\n1 1100111110\n0 1000010001"
},
"output": {
"stdout": "-1210232122\n"
}
},
{
"input": {
"stdin": "3\n20 2\n16 20\n20 7"
},
"output": {
"stdout": "29\n"
}
},
{
"input": {
"stdin": "3\n2 0\n3 40\n8 11"
},
"output": {
"stdout": "-6\n"
}
},
{
"input": {
"stdin": "6\n-1 0000110011\n0 0110011010\n-1 1110000001\n-1 0100100100\n2 1100111110\n-1 1000010001"
},
"output": {
"stdout": "-1210232134\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n0 0000000000\n1 1100000000\n1 1010000100\n1 1100000000\n2 1000000001"
},
"output": {
"stdout": "-2099999998\n"
}
},
{
"input": {
"stdin": "3\n0 10\n20 5\n1 54"
},
"output": {
"stdout": "-4\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n0 1000000000\n1 1100000000\n1 1010000100\n1 1100000000\n2 1000000001"
},
"output": {
"stdout": "-3099999998\n"
}
},
{
"input": {
"stdin": "3\n4 -1\n0 40\n29 12"
},
"output": {
"stdout": "-7\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n-1 0000000000\n0 1101000000\n-1 1010110100\n2 1100000010\n4 1000000001"
},
"output": {
"stdout": "-2100000011\n"
}
},
{
"input": {
"stdin": "3\n28 0\n1 40\n20 7"
},
"output": {
"stdout": "21\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n-1 0000000000\n0 1100000000\n-1 1010100100\n1 1100000010\n4 1000000001"
},
"output": {
"stdout": "-2100000000\n"
}
},
{
"input": {
"stdin": "6\n0 1000110001\n0 0100011000\n0 1100000000\n0 0100100100\n-1 1100000010\n0 1000000001"
},
"output": {
"stdout": "-2200011002\n"
}
},
{
"input": {
"stdin": "3\n-4 10\n5 5\n1 53"
},
"output": {
"stdout": "-8\n"
}
},
{
"input": {
"stdin": "3\n10 10\n20 34\n30 30"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "3\n4 0\n0 0\n53 12"
},
"output": {
"stdout": "53\n"
}
},
{
"input": {
"stdin": "3\n0 6\n1 6\n15 215"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3\n1 -12\n4 -1\n372 -11"
},
"output": {
"stdout": "374\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n-1 0000000000\n2 1100000000\n1 1010100100\n2 1100000010\n2 1000000001"
},
"output": {
"stdout": "-2099999997\n"
}
},
{
"input": {
"stdin": "6\n-1 1000110001\n0 0110011000\n0 1100000001\n-1 0100100100\n0 1100001011\n0 1000000001"
},
"output": {
"stdout": "-2200100103\n"
}
},
{
"input": {
"stdin": "3\n28 0\n2 40\n20 7"
},
"output": {
"stdout": "22\n"
}
},
{
"input": {
"stdin": "3\n16 0\n0 -1\n251 12"
},
"output": {
"stdout": "251\n"
}
},
{
"input": {
"stdin": "3\n2 -16\n0 -1\n69 -5"
},
"output": {
"stdout": "72\n"
}
},
{
"input": {
"stdin": "3\n0 17\n5 4\n2 53"
},
"output": {
"stdout": "-10\n"
}
},
{
"input": {
"stdin": "6\n-1 0000110001\n0 0110011010\n-1 1110000001\n-1 0100100000\n2 1100111110\n0 1000010001"
},
"output": {
"stdout": "-1210232123\n"
}
},
{
"input": {
"stdin": "6\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000000\n1 1000000001"
},
"output": {
"stdout": "-2999999997\n"
}
},
{
"input": {
"stdin": "3\n20 10\n16 20\n20 30"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "6\n0 0000010101\n0 0110011010\n0 1110000001\n-1 0100100000\n1 1100111110\n0 1000010001"
},
"output": {
"stdout": "-1210132222\n"
}
},
{
"input": {
"stdin": "6\n0 1000100001\n0 0000011000\n0 1100000000\n0 0000100100\n0 1100000010\n1 1000000001"
},
"output": {
"stdout": "-2100011001\n"
}
},
{
"input": {
"stdin": "3\n0 2\n1 18\n1 629"
},
"output": {
"stdout": "-17\n"
}
},
{
"input": {
"stdin": "6\n0 1000110001\n0 0100011000\n0 1100000000\n0 0100100100\n0 1100000010\n1 1000000001"
},
"output": {
"stdout": "-2200011001\n"
}
},
{
"input": {
"stdin": "3\n4 0\n0 0\n86 12"
},
"output": {
"stdout": "86\n"
}
},
{
"input": {
"stdin": "3\n-1 2\n1 18\n1 629"
},
"output": {
"stdout": "-18\n"
}
},
{
"input": {
"stdin": "3\n-2 2\n1 18\n1 629"
},
"output": {
"stdout": "-19\n"
}
},
{
"input": {
"stdin": "6\n0 1000110001\n0 0100011000\n0 1100000001\n-1 0100100100\n-1 1100000010\n0 1000000001"
},
"output": {
"stdout": "-2200011004\n"
}
},
{
"input": {
"stdin": "3\n15 10\n20 4\n30 30"
},
"output": {
"stdout": "40\n"
}
},
{
"input": {
"stdin": "6\n0 1000100001\n0 0000011000\n0 1100000000\n0 0000100100\n1 1100000010\n1 1000000001"
},
"output": {
"stdout": "-2100011000\n"
}
},
{
"input": {
"stdin": "6\n0 0000010101\n0 0110011010\n0 1100000001\n-1 0100100000\n1 1100111110\n0 1000010001"
},
"output": {
"stdout": "-1210021112\n"
}
},
{
"input": {
"stdin": "6\n2 1000000000\n0 0000011000\n0 1100000000\n0 0010100100\n2 1100000010\n1 1000000001"
},
"output": {
"stdout": "-2100010997\n"
}
},
{
"input": {
"stdin": "6\n2 1000000000\n-1 0000000000\n0 1101000000\n-1 1010110100\n2 1100000010\n4 1000000001"
},
"output": {
"stdout": "-2100000010\n"
}
},
{
"input": {
"stdin": "3\n15 10\n20 4\n5 54"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "6\n0 1000010101\n0 0110011010\n0 1100000001\n-1 0100100000\n1 1100011110\n0 1000010001"
},
"output": {
"stdout": "-2200110001\n"
}
},
{
"input": {
"stdin": "3\n20 2\n1 40\n20 7"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3\n4 0\n2 -1\n1798 1"
},
"output": {
"stdout": "1800\n"
}
},
{
"input": {
"stdin": "6\n2 1000000000\n-1 0000010000\n0 1101000000\n-1 1010110100\n2 1100000010\n4 1000000001"
},
"output": {
"stdout": "-2100010010\n"
}
},
{
"input": {
"stdin": "6\n-2 1000010101\n0 0110011010\n0 1100000001\n-1 0100100000\n0 1100011110\n0 1000010001"
},
"output": {
"stdout": "-2200110004\n"
}
}
] |
{
"tags": [],
"title": "p03141 NIKKEI Programming Contest 2019 - Different Strokes"
}
|
{
"cpp": "#include \"bits/stdc++.h\"\nusing namespace std;\ntypedef long long ll;\nconst ll MOD = 1e9 + 7;\nconst ll INF = 1LL << 60;\nconst double PI = 3.141592653589793238;\nconst double EPS = 1e-10;\n\nint main() {\n\tint N;\n\tcin >> N;\n\tll sum = 0;\n\tvector<ll> vec;\n\tfor (int i = 0; i < N; i++) {\n\t\tll A, B;\n\t\tcin >> A >> B;\n\t\tsum += A;\n\t\tvec.push_back(A + B);\n\t}\n\tsort(vec.begin(), vec.end());\n\tfor (int i = N - 2; i >= 0; i -= 2) {\n\t\tsum -= vec[i];\n\t}\n\tcout << sum << endl;\n}",
"java": "import java.util.Arrays;\nimport java.util.Scanner;\n\npublic class Main {\n public static void main(String[] args) {\n Scanner scanner = new Scanner(System.in);\n\n int N = scanner.nextInt();\n Pair[] dishes = new Pair[N];\n for (int i = 0; i < N; i++) dishes[i] = new Pair(scanner.nextInt(), scanner.nextInt());\n\n Arrays.sort(dishes, (p1, p2) -> p2.a + p2.b - p1.a - p1.b);\n\n long score = 0;\n for (int i = 0; i < N; i++) {\n if (i % 2 == 0) score += dishes[i].a;\n else score -= dishes[i].b;\n }\n System.out.println(score);\n }\n\n private static class Pair {\n public final int a;\n public final int b;\n\n private Pair(int a, int b) {\n this.a = a;\n this.b = b;\n }\n }\n}\n",
"python": "ab=[list(map(int, input().split())) for i in range(int(input()))]\nab.sort(reverse=True, key=lambda x:x[0]+x[1])\nprint(sum(map(lambda x:x[0],ab[::2]))-sum(map(lambda x:x[1],ab[1::2])))"
}
|
p03285 AtCoder Beginner Contest 105 - Cakes and Donuts
|
La Confiserie d'ABC sells cakes at 4 dollars each and doughnuts at 7 dollars each. Determine if there is a way to buy some of them for exactly N dollars. You can buy two or more doughnuts and two or more cakes, and you can also choose to buy zero doughnuts or zero cakes.
Constraints
* N is an integer between 1 and 100, inclusive.
Input
Input is given from Standard Input in the following format:
N
Output
If there is a way to buy some cakes and some doughnuts for exactly N dollars, print `Yes`; otherwise, print `No`.
Examples
Input
11
Output
Yes
Input
40
Output
Yes
Input
3
Output
No
|
[
{
"input": {
"stdin": "40"
},
"output": {
"stdout": "Yes"
}
},
{
"input": {
"stdin": "3"
},
"output": {
"stdout": "No"
}
},
{
"input": {
"stdin": "11"
},
"output": {
"stdout": "Yes"
}
},
{
"input": {
"stdin": "-3"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-45"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-33"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "1"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "22"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-23"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-51"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-14"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "81"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "10"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-19"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "7"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "87"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-74"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-4"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "21"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-123"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "8"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-106"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "41"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-109"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-34"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-25"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-20"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "4"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "55"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "17"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "16"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "6"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "32"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "38"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "14"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-31"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-79"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-68"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "110"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "15"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "23"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-70"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-85"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-90"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-13"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-76"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "18"
},
"output": {
"stdout": "Yes\n"
}
},
{
"input": {
"stdin": "-48"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "-12"
},
"output": {
"stdout": "No\n"
}
},
{
"input": {
"stdin": "9"
},
"output": {
"stdout": "No\n"
}
}
] |
{
"tags": [],
"title": "p03285 AtCoder Beginner Contest 105 - Cakes and Donuts"
}
|
{
"cpp": "#include<iostream>\nusing namespace std;\nint N;\nbool r;\nvoid rec(int n){\n if(n==0)r=true;\n if(n<=0)return;\n rec(n-4);\n rec(n-7);\n}\nint main(void){\n cin>>N;\n rec(N);\n cout<<(r?\"Yes\":\"No\")<<endl;\n return 0;\n}\n",
"java": "import java.util.*;\n\nclass Main{\n public static void main(String[] args) {\n Scanner sc = new Scanner(System.in);\n int N = sc.nextInt();\n\n boolean flag = false;\n for(int i = 0; i < 26; i++){\n for(int j = 0; j < 16; j++){\n if(4 * i + 7 * j == N) flag = true;\n }\n }\n \n if(flag) System.out.println(\"Yes\");\n else System.out.println(\"No\");\n }\n}",
"python": "n=int(input())\nfor i in range(0,n+1,4):\n j=n-i\n if j>=0and j%7==0:\n print('Yes')\n break\nelse:\n print('No')"
}
|
p03441 AtCoder Petrozavodsk Contest 001 - Antennas on Tree
|
We have a tree with N vertices. The vertices are numbered 0 through N - 1, and the i-th edge (0 ≤ i < N - 1) comnnects Vertex a_i and b_i. For each pair of vertices u and v (0 ≤ u, v < N), we define the distance d(u, v) as the number of edges in the path u-v.
It is expected that one of the vertices will be invaded by aliens from outer space. Snuke wants to immediately identify that vertex when the invasion happens. To do so, he has decided to install an antenna on some vertices.
First, he decides the number of antennas, K (1 ≤ K ≤ N). Then, he chooses K different vertices, x_0, x_1, ..., x_{K - 1}, on which he installs Antenna 0, 1, ..., K - 1, respectively. If Vertex v is invaded by aliens, Antenna k (0 ≤ k < K) will output the distance d(x_k, v). Based on these K outputs, Snuke will identify the vertex that is invaded. Thus, in order to identify the invaded vertex no matter which one is invaded, the following condition must hold:
* For each vertex u (0 ≤ u < N), consider the vector (d(x_0, u), ..., d(x_{K - 1}, u)). These N vectors are distinct.
Find the minumum value of K, the number of antennas, when the condition is satisfied.
Constraints
* 2 ≤ N ≤ 10^5
* 0 ≤ a_i, b_i < N
* The given graph is a tree.
Input
Input is given from Standard Input in the following format:
N
a_0 b_0
a_1 b_1
:
a_{N - 2} b_{N - 2}
Output
Print the minumum value of K, the number of antennas, when the condition is satisfied.
Examples
Input
5
0 1
0 2
0 3
3 4
Output
2
Input
2
0 1
Output
1
Input
10
2 8
6 0
4 1
7 6
2 3
8 6
6 9
2 4
5 8
Output
3
|
[
{
"input": {
"stdin": "2\n0 1"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "5\n0 1\n0 2\n0 3\n3 4"
},
"output": {
"stdout": "2"
}
},
{
"input": {
"stdin": "10\n2 8\n6 0\n4 1\n7 6\n2 3\n8 6\n6 9\n2 4\n5 8"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "2\n0 14"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n10 7"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n21 2"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 6"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 63"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 21"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n37 4"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 50"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 12"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 5"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n8 6"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 12"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n6 5"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n2 9"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 14"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 8"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 42"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 2"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 21"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 0"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 6"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 0"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 9"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n63 3"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n2 5"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 12"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 4"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 7"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 3"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n4 8"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n2 4"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n2 1"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n12 0"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 34"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 18"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n5 22"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n3 5"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n4 21"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n2 23"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n13 2"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n8 2"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n5 0"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 26"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 8"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n0 17"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n1 17"
},
"output": {
"stdout": "1"
}
},
{
"input": {
"stdin": "2\n4 2"
},
"output": {
"stdout": "1"
}
}
] |
{
"tags": [],
"title": "p03441 AtCoder Petrozavodsk Contest 001 - Antennas on Tree"
}
|
{
"cpp": "#include <stdio.h>\n#include <iostream>\n#include <vector>\n#include <assert.h>\n#include <set>\n#include <map>\n#include <cmath>\n#include <queue>\n#include <stack>\n#include <string>\n#include <sstream>\n#include <memory.h>\n#include <time.h>\n#include <string.h>\n#include <stdlib.h>\n#include <algorithm>\nusing namespace std;\ntypedef long long ll;\nint n;\nvector<vector<int> > g;\nint res = 0;\nbool DFS(int u, int p) {\n\tint ret = 0;\n\tint cnt = 0;\n\tfor (int i = 0; i<g[u].size(); ++i)\n\t\tif (g[u][i] != p) {\n\t\t\tret += DFS(g[u][i], u);\n\t\t\t++cnt;\n\t\t}\n\tres += max(0, cnt - 1 - ret);\n\treturn ret || cnt - 1>0;\n}\nint main()\n{\n\tscanf(\"%d\", &n);\n\tres = 0;\n\tg.clear();\n\tg.resize(n);\n\tfor (int i = 1, a, b; i < n; ++i) {\n\t\tscanf(\"%d%d\", &a, &b);\n\t\tg[a].push_back(b);\n\t\tg[b].push_back(a);\n\t}\n\tbool ok = false;\n\tfor (int i = 0; i < n; ++i)\n\t\tif (g[i].size() > 2) {\n\t\t\tif (!DFS(i, -1))\n\t\t\t\t++res;\n\t\t\tok = true;\n\t\t\tbreak;\n\t\t}\n\tif (!ok)\n\t\tres = 1;\n\tcout << res << endl;\n\treturn 0;\n}",
"java": "import sun.util.resources.sr.CalendarData_sr_Latn_BA;\n\nimport java.io.*;\nimport java.util.Arrays;\nimport java.util.StringJoiner;\nimport java.util.StringTokenizer;\n\npublic class Main {\n\n static int N;\n static int[] A, B;\n\n public static void main(String[] args) {\n FastScanner sc = new FastScanner(System.in);\n N = sc.nextInt();\n A = new int[N-1];\n B = new int[N-1];\n for (int i = 0; i < N - 1; i++) {\n A[i] = sc.nextInt();\n B[i] = sc.nextInt();\n }\n\n System.out.println(solve());\n }\n\n static int solve() {\n int[][] G = adjB(N, A, B);\n\n // 次数が3以上のものを親にすることで親側には基地が存在するようにできる\n int root = -1;\n for (int i = 0; i < N; i++) {\n if( G[i].length >= 3 ) {\n root = i;\n break;\n }\n }\n if( root == -1 ) return 1; // まっすぐ\n\n int[] dp = new int[N];\n Node[] nodes = order(N, G, root, false);\n for (Node node : nodes) {\n if( node.a == root ) {\n int dir = G[node.a].length;\n int hasBase = 0;\n for (int b : G[node.a]) {\n if( dp[b] > 0 ) {\n dp[node.a] += dp[b];\n hasBase++;\n }\n }\n dp[node.a] += Math.max(0, dir - hasBase - 1);\n\n } else {\n if( G[node.a].length == 1 ) {\n dp[node.a] = 0;\n continue;\n }\n\n int dir = 0;\n int hasBase = 0;\n for (int b : G[node.a]) {\n if( b == node.parent ) continue;\n\n dir++;\n if( dp[b] > 0 ) {\n dp[node.a] += dp[b];\n hasBase++;\n }\n }\n\n // 親側には存在する\n dp[node.a] += Math.max(0, dir - hasBase - 1);\n }\n }\n // debug(root, dp);\n return dp[root];\n }\n\n static Node[] order(int N, int[][] G, int root, boolean fromRoot) {\n Node[] q = new Node[N];\n int u = 0, v = 0;\n Node[] ret = new Node[N];\n int idx = fromRoot ? 0 : N-1;\n int d = fromRoot ? 1 : -1;\n q[v++] = new Node(-1, root);\n while( u != v ) {\n Node n = q[u++];\n ret[idx] = n;\n idx += d;\n for (int b : G[n.a]) {\n if( b == n.parent ) continue;\n\n q[v++] = new Node(n.a, b);\n }\n }\n return ret;\n }\n\n static class Node {\n int parent, a;\n\n public Node(int parent, int a) {\n this.parent = parent;\n this.a = a;\n }\n }\n\n static int[][] adjB(int n, int[] from, int[] to) {\n int[][] adj = new int[n][];\n int[] cnt = new int[n];\n for (int f : from) {\n cnt[f]++;\n }\n for (int t : to) {\n cnt[t]++;\n }\n for (int i = 0; i < n; i++) {\n adj[i] = new int[cnt[i]];\n }\n for (int i = 0; i < from.length; i++) {\n adj[from[i]][--cnt[from[i]]] = to[i];\n adj[to[i]][--cnt[to[i]]] = from[i];\n }\n return adj;\n }\n\n @SuppressWarnings(\"unused\")\n static class FastScanner {\n private BufferedReader reader;\n private StringTokenizer tokenizer;\n\n FastScanner(InputStream in) {\n reader = new BufferedReader(new InputStreamReader(in));\n tokenizer = null;\n }\n\n String next() {\n if (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n\n String nextLine() {\n if (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n return reader.readLine();\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken(\"\\n\");\n }\n\n long nextLong() {\n return Long.parseLong(next());\n }\n\n int nextInt() {\n return Integer.parseInt(next());\n }\n\n int[] nextIntArray(int n) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) a[i] = nextInt();\n return a;\n }\n\n int[] nextIntArray(int n, int delta) {\n int[] a = new int[n];\n for (int i = 0; i < n; i++) a[i] = nextInt() + delta;\n return a;\n }\n\n long[] nextLongArray(int n) {\n long[] a = new long[n];\n for (int i = 0; i < n; i++) a[i] = nextLong();\n return a;\n }\n }\n\n static void writeLines(int[] as) {\n PrintWriter pw = new PrintWriter(System.out);\n for (int a : as) pw.println(a);\n pw.flush();\n }\n\n static void writeLines(long[] as) {\n PrintWriter pw = new PrintWriter(System.out);\n for (long a : as) pw.println(a);\n pw.flush();\n }\n\n static void writeSingleLine(int[] as) {\n PrintWriter pw = new PrintWriter(System.out);\n for (int i = 0; i < as.length; i++) {\n if (i != 0) pw.print(\" \");\n pw.print(as[i]);\n }\n pw.println();\n pw.flush();\n }\n\n static int max(int... as) {\n int max = Integer.MIN_VALUE;\n for (int a : as) max = Math.max(a, max);\n return max;\n }\n\n static int min(int... as) {\n int min = Integer.MAX_VALUE;\n for (int a : as) min = Math.min(a, min);\n return min;\n }\n\n static void debug(Object... args) {\n StringJoiner j = new StringJoiner(\" \");\n for (Object arg : args) {\n if (arg == null) j.add(\"null\");\n else if (arg instanceof int[]) j.add(Arrays.toString((int[]) arg));\n else if (arg instanceof long[]) j.add(Arrays.toString((long[]) arg));\n else if (arg instanceof double[]) j.add(Arrays.toString((double[]) arg));\n else if (arg instanceof Object[]) j.add(Arrays.toString((Object[]) arg));\n else j.add(arg.toString());\n }\n System.err.println(j.toString());\n }\n\n static void printSingleLine(int[] array) {\n PrintWriter pw = new PrintWriter(System.out);\n for (int i = 0; i < array.length; i++) {\n if (i != 0) pw.print(\" \");\n pw.print(array[i]);\n }\n pw.println();\n pw.flush();\n }\n\n static int lowerBound(int[] array, int value) {\n int lo = 0, hi = array.length, mid;\n while (lo < hi) {\n mid = (hi + lo) / 2;\n if (array[mid] < value) lo = mid + 1;\n else hi = mid;\n }\n return lo;\n }\n\n static int upperBound(int[] array, int value) {\n int lo = 0, hi = array.length, mid;\n while (lo < hi) {\n mid = (hi + lo) / 2;\n if (array[mid] <= value) lo = mid + 1;\n else hi = mid;\n }\n return lo;\n }\n}\n",
"python": "#設定\nimport sys\ninput = sys.stdin.buffer.readline\nsys.setrecursionlimit(10**7)\n\n#ライブラリインポート\nfrom collections import defaultdict\n\n#入力受け取り\ndef getlist():\n\treturn list(map(int, input().split()))\n\nclass Graph(object):\n\tdef __init__(self):\n\t\tself.graph = defaultdict(list)\n\n\tdef __len__(self):\n\t\treturn len(self.graph)\n\n\tdef add_edge(self, a, b):\n\t\tself.graph[a].append(b)\n\n\tdef get_nodes(self):\n\t\treturn self.graph.keys()\n\n#val = 0\n\ndef DFS(G, anstenna, edge_num, have, visit, node):\n\tcnt = 0\n\tfor i in G.graph[node]:\n\t\tif visit[i] != \"Yes\":\n\t\t\tvisit[i] = \"Yes\"\n\t\t\tDFS(G, anstenna, edge_num, have, visit, i)\n\t\t\tif have[i] == 1:\n\t\t\t\tcnt += 1\n\t\t\t\tanstenna[node] += anstenna[i]\n\n\tif cnt < edge_num[node] - 1:\n\t\tanstenna[node] += edge_num[node] - 1 - cnt\n\tif anstenna[node] >= 1:\n\t\thave[node] = 1\n\n#処理内容\ndef main():\n\tN = int(input())\n\tG = Graph()\n\tfor i in range(N - 1):\n\t\ta, b = getlist()\n\t\tG.add_edge(a, b)\n\t\tG.add_edge(b, a)\n\n\tif N == 2:\n\t\tprint(1)\n\t\treturn\n\n\t#DFS\n\tanstenna = [0] * (N + 1)\n\thave = [0] * (N + 1)\n\tedge_num = [len(G.graph[i]) - 1 for i in range(N + 1)]\n\n\tif max(edge_num) <= 1:\n\t\tprint(1)\n\t\treturn\n\n\tvisit = [\"No\"] * (N + 1)\n\tvisit[N] = \"Yes\"\n\ts = None\n\tfor i in range(N):\n\t\tif edge_num[i] >= 1:\n\t\t\ts = i\n\t\t\tbreak\n\tG.add_edge(N, s)\n\tG.add_edge(s, N)\n\tedge_num[s] += 1\n\n\tDFS(G, anstenna, edge_num, have, visit, N)\n\tans = anstenna[N]\n\tif edge_num[s] == 2:\n\t\tcnt = 0\n\t\tfor i in G.graph[s]:\n\t\t\tif have[i] == 1:\n\t\t\t\tcnt += 1\n\t\tif cnt <= 2:\n\t\t\tans += 1\n\n\tprint(ans)\n\nif __name__ == '__main__':\n\tmain()"
}
|
p03599 AtCoder Beginner Contest 074 - Sugar Water
|
Snuke is making sugar water in a beaker. Initially, the beaker is empty. Snuke can perform the following four types of operations any number of times. He may choose not to perform some types of operations.
* Operation 1: Pour 100A grams of water into the beaker.
* Operation 2: Pour 100B grams of water into the beaker.
* Operation 3: Put C grams of sugar into the beaker.
* Operation 4: Put D grams of sugar into the beaker.
In our experimental environment, E grams of sugar can dissolve into 100 grams of water.
Snuke will make sugar water with the highest possible density.
The beaker can contain at most F grams of substances (water and sugar combined), and there must not be any undissolved sugar in the beaker. Find the mass of the sugar water Snuke will make, and the mass of sugar dissolved in it. If there is more than one candidate, any of them will be accepted.
We remind you that the sugar water that contains a grams of water and b grams of sugar is \frac{100b}{a + b} percent. Also, in this problem, pure water that does not contain any sugar is regarded as 0 percent density sugar water.
Constraints
* 1 \leq A < B \leq 30
* 1 \leq C < D \leq 30
* 1 \leq E \leq 100
* 100A \leq F \leq 3 000
* A, B, C, D, E and F are all integers.
Inputs
Input is given from Standard Input in the following format:
A B C D E F
Outputs
Print two integers separated by a space. The first integer should be the mass of the desired sugar water, and the second should be the mass of the sugar dissolved in it.
Examples
Input
1 2 10 20 15 200
Output
110 10
Input
1 2 1 2 100 1000
Output
200 100
Input
17 19 22 26 55 2802
Output
2634 934
|
[
{
"input": {
"stdin": "1 2 1 2 100 1000"
},
"output": {
"stdout": "200 100"
}
},
{
"input": {
"stdin": "1 2 10 20 15 200"
},
"output": {
"stdout": "110 10"
}
},
{
"input": {
"stdin": "17 19 22 26 55 2802"
},
"output": {
"stdout": "2634 934"
}
},
{
"input": {
"stdin": "7 44 21 26 107 2802"
},
"output": {
"stdout": "1449 749\n"
}
},
{
"input": {
"stdin": "40 27 12 2 4 2802"
},
"output": {
"stdout": "2802 102\n"
}
},
{
"input": {
"stdin": "1 4 18 29 11 379"
},
"output": {
"stdout": "329 29\n"
}
},
{
"input": {
"stdin": "2 1 1 20 22 179"
},
"output": {
"stdout": "122 22\n"
}
},
{
"input": {
"stdin": "26 29 23 14 55 2802"
},
"output": {
"stdout": "2800 200\n"
}
},
{
"input": {
"stdin": "1 2 1 1 100 1000"
},
"output": {
"stdout": "200 100\n"
}
},
{
"input": {
"stdin": "14 27 21 8 35 2802"
},
"output": {
"stdout": "1890 490\n"
}
},
{
"input": {
"stdin": "26 29 22 26 55 2802"
},
"output": {
"stdout": "2802 202\n"
}
},
{
"input": {
"stdin": "9 33 22 78 55 2802"
},
"output": {
"stdout": "2790 990\n"
}
},
{
"input": {
"stdin": "2 4 13 29 15 200"
},
"output": {
"stdout": "200 0\n"
}
},
{
"input": {
"stdin": "26 22 3 14 55 2647"
},
"output": {
"stdout": "2647 447\n"
}
},
{
"input": {
"stdin": "5 36 18 26 114 1131"
},
"output": {
"stdout": "1070 570\n"
}
},
{
"input": {
"stdin": "6 1 1 20 29 141"
},
"output": {
"stdout": "129 29\n"
}
},
{
"input": {
"stdin": "14 29 22 26 55 2802"
},
"output": {
"stdout": "2170 770\n"
}
},
{
"input": {
"stdin": "5 31 90 26 55 915"
},
"output": {
"stdout": "772 272\n"
}
},
{
"input": {
"stdin": "14 27 22 4 36 2802"
},
"output": {
"stdout": "1904 504\n"
}
},
{
"input": {
"stdin": "20 27 12 2 4 2802"
},
"output": {
"stdout": "2080 80\n"
}
},
{
"input": {
"stdin": "7 33 22 78 4 2802"
},
"output": {
"stdout": "2178 78\n"
}
},
{
"input": {
"stdin": "9 41 19 4 1 2802"
},
"output": {
"stdout": "2727 27\n"
}
},
{
"input": {
"stdin": "14 27 12 4 4 2802"
},
"output": {
"stdout": "1456 56\n"
}
},
{
"input": {
"stdin": "6 1 1 20 39 141"
},
"output": {
"stdout": "139 39\n"
}
},
{
"input": {
"stdin": "14 35 22 26 41 2802"
},
"output": {
"stdout": "1974 574\n"
}
},
{
"input": {
"stdin": "14 27 6 8 18 2802"
},
"output": {
"stdout": "1652 252\n"
}
},
{
"input": {
"stdin": "7 44 22 26 107 2802"
},
"output": {
"stdout": "1448 748\n"
}
},
{
"input": {
"stdin": "3 29 22 78 4 509"
},
"output": {
"stdout": "300 0\n"
}
},
{
"input": {
"stdin": "4 27 22 4 41 2802"
},
"output": {
"stdout": "564 164\n"
}
},
{
"input": {
"stdin": "5 31 22 26 55 2802"
},
"output": {
"stdout": "1550 550\n"
}
},
{
"input": {
"stdin": "17 33 22 78 19 2802"
},
"output": {
"stdout": "2022 322\n"
}
},
{
"input": {
"stdin": "6 1 1 7 29 123"
},
"output": {
"stdout": "123 23\n"
}
},
{
"input": {
"stdin": "17 33 13 78 19 2802"
},
"output": {
"stdout": "2012 312\n"
}
},
{
"input": {
"stdin": "14 27 22 4 97 2802"
},
"output": {
"stdout": "2758 1358\n"
}
},
{
"input": {
"stdin": "10 27 22 4 36 2802"
},
"output": {
"stdout": "1360 360\n"
}
},
{
"input": {
"stdin": "17 19 22 78 55 2802"
},
"output": {
"stdout": "2634 934\n"
}
},
{
"input": {
"stdin": "1 1 1 20 20 179"
},
"output": {
"stdout": "120 20\n"
}
},
{
"input": {
"stdin": "2 1 1 20 17 179"
},
"output": {
"stdout": "117 17\n"
}
},
{
"input": {
"stdin": "9 1 1 20 28 179"
},
"output": {
"stdout": "128 28\n"
}
},
{
"input": {
"stdin": "2 1 2 20 15 179"
},
"output": {
"stdout": "114 14\n"
}
},
{
"input": {
"stdin": "2 4 4 29 15 278"
},
"output": {
"stdout": "229 29\n"
}
},
{
"input": {
"stdin": "2 1 10 10 41 179"
},
"output": {
"stdout": "140 40\n"
}
},
{
"input": {
"stdin": "13 31 22 26 51 2312"
},
"output": {
"stdout": "1962 662\n"
}
},
{
"input": {
"stdin": "5 36 18 26 99 915"
},
"output": {
"stdout": "914 414\n"
}
},
{
"input": {
"stdin": "41 29 22 26 55 4180"
},
"output": {
"stdout": "4180 1280\n"
}
},
{
"input": {
"stdin": "9 41 37 4 1 2802"
},
"output": {
"stdout": "908 8\n"
}
},
{
"input": {
"stdin": "26 19 22 26 55 2802"
},
"output": {
"stdout": "2802 902\n"
}
},
{
"input": {
"stdin": "5 36 18 7 55 915"
},
"output": {
"stdout": "775 275\n"
}
},
{
"input": {
"stdin": "5 36 18 26 55 531"
},
"output": {
"stdout": "526 26\n"
}
},
{
"input": {
"stdin": "9 49 37 4 2 2802"
},
"output": {
"stdout": "1836 36\n"
}
}
] |
{
"tags": [],
"title": "p03599 AtCoder Beginner Contest 074 - Sugar Water"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\n#define int long long\nsigned main(){\n int A,B,C,D,E,F;\n cin>>A>>B>>C>>D>>E>>F;\n int n=1,m=-1;\n for(int a=0;a*A*100<=F;a++){\n int x=F-a*A*100;\n for(int b=0;b*B*100<=x;b++){\n int y=min(x-b*B*100,(a*A+b*B)*E);\n for(int c=0;c*C<=y;c++){\n int d=(y-c*C)/D;\n if(m*(a*A+b*B)<(c*C+d*D)*n){\n n=a*A+b*B;\n m=c*C+d*D;\n }\n }\n }\n }\n cout<<n*100+m<<' '<<m<<endl;\n}",
"java": "import java.util.HashSet;\nimport java.util.Scanner;\nimport java.util.Set;\n\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(System.in);\n\t\tint a = sc.nextInt();\n\t\tint b = sc.nextInt();\n\t\tint c = sc.nextInt();\n\t\tint d = sc.nextInt();\n\t\tint e = sc.nextInt();\n\t\tint f = sc.nextInt();\n\t\tSet<Integer> waters = new HashSet<>();\n\t\tSet<Integer> sugers = new HashSet<>();\n\t\tfor(int i = 0 ; i <= f ; i++) {\n\t\t\tfor(int j = 0 ; j <= f ; j++) {\n\t\t\t\tif(i * 100 * a + j * 100 * b <= f) waters.add(i * 100 * a + j * 100 * b);\n\t\t\t}\n\t\t}\n\t\tfor(int i = 0 ; i <= f ; i++) {\n\t\t\tfor(int j = 0 ; j <= f ; j++) {\n\t\t\t\tif(i * c + j * d <= f) sugers.add(i * c + j * d);\n\t\t\t}\n\t\t}\n\t\tint w = 1;\n\t\tint s = -1;\n\t\tfor(int water : waters) {\n\t\t\tfor(int suger : sugers) {\n\t\t\t\tif(water + suger <= f && e * water >= 100 * suger && suger * w > water * s) {\n\t\t\t\t\tw = water;\n\t\t\t\t\ts = suger;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(s + w + \" \" + s);\n\t}\n}",
"python": "A,B,C,D,E,F = map(int,input().split())\nA *= 100\nB *= 100\ncheck = -1\nfor i in range(F//A+1):\n for j in range((F-(A*i))//B+1):\n if i + j == 0:continue\n for k in range(((F-(A*i))-B*j)//C+1):\n for l in range((((F-(A*i))-B*j)-C*k)//D+1):\n water = A*i+B*j\n sugar = C*k+D*l\n if water//100*E < sugar:continue\n if check < 100*sugar/(water+sugar):\n check = 100*sugar/(water+sugar)\n ans = [water+sugar,sugar]\nprint(*ans)"
}
|
p03760 AtCoder Beginner Contest 058 - ∵∴∵
|
Snuke signed up for a new website which holds programming competitions. He worried that he might forget his password, and he took notes of it. Since directly recording his password would cause him trouble if stolen, he took two notes: one contains the characters at the odd-numbered positions, and the other contains the characters at the even-numbered positions.
You are given two strings O and E. O contains the characters at the odd-numbered positions retaining their relative order, and E contains the characters at the even-numbered positions retaining their relative order. Restore the original password.
Constraints
* O and E consists of lowercase English letters (`a` - `z`).
* 1 \leq |O|,|E| \leq 50
* |O| - |E| is either 0 or 1.
Input
Input is given from Standard Input in the following format:
O
E
Output
Print the original password.
Examples
Input
xyz
abc
Output
xaybzc
Input
atcoderbeginnercontest
atcoderregularcontest
Output
aattccooddeerrbreeggiunlnaerrccoonntteesstt
|
[
{
"input": {
"stdin": "atcoderbeginnercontest\natcoderregularcontest"
},
"output": {
"stdout": "aattccooddeerrbreeggiunlnaerrccoonntteesstt"
}
},
{
"input": {
"stdin": "xyz\nabc"
},
"output": {
"stdout": "xaybzc"
}
},
{
"input": {
"stdin": "ftcodmrbaeinnercoetgst\natcoaerqeguldrcnntest"
},
"output": {
"stdout": "fattccoodamerrbqaeegiunlnderrccnonettegsstt\n"
}
},
{
"input": {
"stdin": "ftcpdmrbaeionercnetgst\netcoaarqeguldrcnntest"
},
"output": {
"stdout": "fettccpodamarrbqaeegiuolnderrccnnnettegsstt\n"
}
},
{
"input": {
"stdin": "zzx\ncbd"
},
"output": {
"stdout": "zczbxd\n"
}
},
{
"input": {
"stdin": "xzz\ncbd"
},
"output": {
"stdout": "xczbzd\n"
}
},
{
"input": {
"stdin": "{yw\nccd"
},
"output": {
"stdout": "{cycwd\n"
}
},
{
"input": {
"stdin": "bsoteetrengienbrmdpcta\netsoacuqeguldacrnnest"
},
"output": {
"stdout": "bestostoeaecturqeengguilednabcrrmndnpecstta\n"
}
},
{
"input": {
"stdin": "yx{\ndac"
},
"output": {
"stdout": "ydxa{c\n"
}
},
{
"input": {
"stdin": "bsoteetrengienbrmdpcta\ndsennrcatlugequcaoste"
},
"output": {
"stdout": "bdssoetnenertcraetnlguigeenqburcmadopscttea\n"
}
},
{
"input": {
"stdin": "xy{\ndac"
},
"output": {
"stdout": "xdya{c\n"
}
},
{
"input": {
"stdin": "tsgteocrennieabrmdoctf\ntsetnncrdlugeqreaocta"
},
"output": {
"stdout": "ttssgettenonccrrednlnuigeeaqbrremadooccttaf\n"
}
},
{
"input": {
"stdin": "{xx\ndac"
},
"output": {
"stdout": "{dxaxc\n"
}
},
{
"input": {
"stdin": "atcoderbeeinnercontgst\natcoaerreguldrcontest"
},
"output": {
"stdout": "aattccoodaeerrbreeegiunlnderrccoonnttegsstt\n"
}
},
{
"input": {
"stdin": "wyz\nccc"
},
"output": {
"stdout": "wcyczc\n"
}
},
{
"input": {
"stdin": "{xy\ndac"
},
"output": {
"stdout": "{dxayc\n"
}
},
{
"input": {
"stdin": "xxz\ndb`"
},
"output": {
"stdout": "xdxbz`\n"
}
},
{
"input": {
"stdin": "bsothetrepejenbrmdpcta\netsoacuqfguluacrnnesd"
},
"output": {
"stdout": "bestostohaecturqefpgeujleunabcrrmndnpecstda\n"
}
},
{
"input": {
"stdin": "atcoderbfeinnercontgst\natcoaerreguldrcnntest"
},
"output": {
"stdout": "aattccoodaeerrbrfeegiunlnderrccnonnttegsstt\n"
}
},
{
"input": {
"stdin": "ntcpdmrbaeignerteetosb\netsoacnqegtldacrnuest"
},
"output": {
"stdout": "nettcspodamcrnbqaeegitglndearctreneuteosstb\n"
}
},
{
"input": {
"stdin": "xyz\ncad"
},
"output": {
"stdout": "xcyazd\n"
}
},
{
"input": {
"stdin": "ftcpdmrbaeionertnetgsb\ntsetnrcrdlugeqnaaocte"
},
"output": {
"stdout": "fttsceptdnmrrcbradeliuogneeqrntanaeotcgtseb\n"
}
},
{
"input": {
"stdin": "xzz\nbbd"
},
"output": {
"stdout": "xbzbzd\n"
}
},
{
"input": {
"stdin": "ntcpdmrbaeionerteetgsb\ntsetnrcadlugeqncaorte"
},
"output": {
"stdout": "nttsceptdnmrrcbaadeliuogneeqrntceaeotrgtseb\n"
}
},
{
"input": {
"stdin": "{yw\nccc"
},
"output": {
"stdout": "{cycwc\n"
}
},
{
"input": {
"stdin": "xzx\ndb`"
},
"output": {
"stdout": "xdzbx`\n"
}
},
{
"input": {
"stdin": "bsotheureqejenbrmdpcta\netsoacgqfuuluacrnoesd"
},
"output": {
"stdout": "bestostohaecugrqefqueujleunabcrrmndopecstda\n"
}
},
{
"input": {
"stdin": "atcoderbfeinnercontgst\natcoaerreguldrcontest"
},
"output": {
"stdout": "aattccoodaeerrbrfeegiunlnderrccoonnttegsstt\n"
}
},
{
"input": {
"stdin": "ftcoderbaeinnercomtgst\natcoaerreguldrcnntest"
},
"output": {
"stdout": "fattccoodaeerrbraeegiunlnderrccnonmttegsstt\n"
}
},
{
"input": {
"stdin": "bsotheureqejenbrmdpcta\netsoacgqfuuluacrnnesd"
},
"output": {
"stdout": "bestostohaecugrqefqueujleunabcrrmndnpecstda\n"
}
},
{
"input": {
"stdin": "tsgtencrenoieabrmdoctf\natcoaerqeguldrcnntest"
},
"output": {
"stdout": "tastgctoeanecrrqeengouiledarbcrnmndtoecsttf\n"
}
},
{
"input": {
"stdin": "bsotheurepejenbrmdpcta\netsoacgqfuuluacrnnesd"
},
"output": {
"stdout": "bestostohaecugrqefpueujleunabcrrmndnpecstda\n"
}
},
{
"input": {
"stdin": "bsgtentrenoieabrmdpctf\ntsetnrcrdlugeqnaaocte"
},
"output": {
"stdout": "btssgettennrtcrrednlouigeeaqbnramadopccttef\n"
}
},
{
"input": {
"stdin": "yyx\nacd"
},
"output": {
"stdout": "yaycxd\n"
}
},
{
"input": {
"stdin": "xy{\ndbc"
},
"output": {
"stdout": "xdyb{c\n"
}
},
{
"input": {
"stdin": "zxx\nbbd"
},
"output": {
"stdout": "zbxbxd\n"
}
},
{
"input": {
"stdin": "zxx\nbd`"
},
"output": {
"stdout": "zbxdx`\n"
}
},
{
"input": {
"stdin": "yzx\ndb`"
},
"output": {
"stdout": "ydzbx`\n"
}
},
{
"input": {
"stdin": "xyz\ndbc"
},
"output": {
"stdout": "xdybzc\n"
}
},
{
"input": {
"stdin": "csgtentrenoieabrmdpctf\ntsetnncrdlugeqraaocte"
},
"output": {
"stdout": "ctssgettennntcrrednlouigeeaqbrramadopccttef\n"
}
},
{
"input": {
"stdin": "wy{\ndbc"
},
"output": {
"stdout": "wdyb{c\n"
}
},
{
"input": {
"stdin": "xzx\n`bd"
},
"output": {
"stdout": "x`zbxd\n"
}
},
{
"input": {
"stdin": "ftcodmrbaeionercnetgst\netcoaarqeguldrcnntest"
},
"output": {
"stdout": "fettccoodamarrbqaeegiuolnderrccnnnettegsstt\n"
}
},
{
"input": {
"stdin": "bsotheureqdjenbrmdpcta\netsoacgqfuuluacrnoesd"
},
"output": {
"stdout": "bestostohaecugrqefqudujleunabcrrmndopecstda\n"
}
},
{
"input": {
"stdin": "bsgtentrenoieabrmdpctf\ntsetnncrdlugeqraaocte"
},
"output": {
"stdout": "btssgettennntcrrednlouigeeaqbrramadopccttef\n"
}
},
{
"input": {
"stdin": "zxx\n`bd"
},
"output": {
"stdout": "z`xbxd\n"
}
},
{
"input": {
"stdin": "zzw\ncbd"
},
"output": {
"stdout": "zczbwd\n"
}
},
{
"input": {
"stdin": "tsgtencrennieabrmdoctf\natcoaerqeguldrcnntest"
},
"output": {
"stdout": "tastgctoeanecrrqeengnuiledarbcrnmndtoecsttf\n"
}
},
{
"input": {
"stdin": "zyw\nccc"
},
"output": {
"stdout": "zcycwc\n"
}
},
{
"input": {
"stdin": "zzx\ndbc"
},
"output": {
"stdout": "zdzbxc\n"
}
}
] |
{
"tags": [],
"title": "p03760 AtCoder Beginner Contest 058 - ∵∴∵"
}
|
{
"cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main(){\n string O,E;\n cin>>O>>E;\n for(int i=0;i<E.size();i++)cout<<O.at(i)<<E.at(i);\n if(O.size()!=E.size())cout<<O.at(O.size()-1);\n cout<<endl;\n}",
"java": "import java.util.Scanner;\n\npublic class Main {\n\n public static void main(String[] args) {\n Scanner scanner = new Scanner(System.in);\n String O = scanner.next();\n String E = scanner.next();\n\n scanner.close();\n\n StringBuilder sb = new StringBuilder();\n for (int i = 0; i < O.length(); i++) {\n sb.append(O.charAt(i));\n if (i < E.length()) {\n sb.append(E.charAt(i));\n }\n }\n System.out.println(sb.toString());\n\n }\n}\n",
"python": "# coding: utf-8\n\nO = raw_input()\nE = raw_input()\n\nif len(O) > len(E):\n E += \" \"\n\npasswd = \"\"\n\nfor o, e in zip(O, E):\n passwd += o + e\n\npasswd = passwd.replace(\" \", \"\")\nprint passwd\n"
}
|
p03922 CODE FESTIVAL 2016 Final (Parallel) - Pair Cards
|
Takahashi is playing with N cards.
The i-th card has an integer X_i on it.
Takahashi is trying to create as many pairs of cards as possible satisfying one of the following conditions:
* The integers on the two cards are the same.
* The sum of the integers on the two cards is a multiple of M.
Find the maximum number of pairs that can be created.
Note that a card cannot be used in more than one pair.
Constraints
* 2≦N≦10^5
* 1≦M≦10^5
* 1≦X_i≦10^5
Input
The input is given from Standard Input in the following format:
N M
X_1 X_2 ... X_N
Output
Print the maximum number of pairs that can be created.
Examples
Input
7 5
3 1 4 1 5 9 2
Output
3
Input
15 10
1 5 6 10 11 11 11 20 21 25 25 26 99 99 99
Output
6
|
[
{
"input": {
"stdin": "7 5\n3 1 4 1 5 9 2"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "15 10\n1 5 6 10 11 11 11 20 21 25 25 26 99 99 99"
},
"output": {
"stdout": "6"
}
},
{
"input": {
"stdin": "7 1\n4 1 6 1 0 1 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 -2 1 0 18 5 -1"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 -1 1 0 6 5 0"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 13 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 6 10 5"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 10\n4 2 5 1 2 7 3"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 1\n4 1 7 1 3 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 1 1 5 5 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n3 1 4 1 5 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 5\n3 1 5 1 5 9 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 -1 1 0 12 5 1"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n0 1 2 1 4 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 6 5 0"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 1 1 5 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "15 10\n1 5 6 10 11 16 2 20 21 1 31 26 99 124 99"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 0 -1 8 5 0"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 8\n3 1 4 2 3 1 0"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 2 1 6 10 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 9\n3 1 4 2 4 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 7 1 7 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 2 13 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n0 0 2 1 4 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 8\n3 1 4 2 3 8 0"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 2 0 5 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 7 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "15 10\n1 5 6 10 11 11 11 20 21 25 25 26 99 124 99"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "7 1\n4 1 2 1 3 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 5 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 2 1 5 2 6"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 2 1 5 2 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 5\n3 1 4 1 5 9 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 6 5 1"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 5\n3 1 4 2 5 8 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n11 1 2 1 6 10 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 1 1 5 2 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 9\n3 1 4 2 3 8 0"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "15 10\n1 5 6 10 11 11 11 20 21 1 16 26 99 124 99"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "15 10\n0 5 6 10 11 11 11 20 21 25 25 26 99 131 99"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "7 1\n11 0 1 1 6 10 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 1\n6 1 4 1 0 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "15 10\n0 5 6 10 11 11 17 7 21 46 25 26 99 131 99"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "7 1\n4 0 4 1 3 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 9\n3 1 4 2 4 8 0"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 1\n11 -1 1 0 12 5 0"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "15 10\n1 5 6 10 11 11 11 20 21 1 25 26 99 124 99"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "7 1\n6 1 4 1 5 4 3"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "7 10\n4 2 10 1 2 7 3"
},
"output": {
"stdout": "2\n"
}
},
{
"input": {
"stdin": "7 1\n6 0 7 1 5 4 3"
},
"output": {
"stdout": "3\n"
}
}
] |
{
"tags": [],
"title": "p03922 CODE FESTIVAL 2016 Final (Parallel) - Pair Cards"
}
|
{
"cpp": "#include<iostream>\n#include<iomanip>\n#include<math.h>\n#include<vector>\n#include<algorithm>\n#include<set>\n#include<map>\n#include<queue>\n#include<stack>\n#include<string>\n#include<time.h>\n#define INF 1000000000ll\n#define MOD 1000000007ll\n#define EPS 1e-10\n#define REP(i,m) for(long long i=0; i<m; ++i)\n#define FOR(i,n,m) for(long long i=n; i<m; ++i)\n#define DUMP(n,a) for(long long dump=0; dump<n; ++dump) { cout<<a[dump]; if(dump!=n-1) cout<<\" \"; else cout<<endl; }\n#define ALL(v) v.begin(),v.end()\n#define pb push_back\nusing namespace std;\ntypedef long long ll;\ntypedef pair<ll, ll> P;\ntypedef long double ld;\n\n/*\n 貪欲\n ①決定問題 必ず解に含まれる(含むように変換できる)ものから決めていく みんプロ本選B\n ②最適化問題 任意の解から評価を落とさず解に含められるようなものから決めていく 区間スケジューリングとか\n ③\n */\n\nint main() {\n\tcin.tie(0);\n\tios::sync_with_stdio(false);\n\tll n,m;\n\tcin>>n>>m;\n\tvector<ll> x(n);\n\tREP(i,n) cin>>x[i];\n\tif(m==1) {\n\t\tcout<<n/2<<endl;\n\t\treturn 0;\n\t}\n\tvector<vector<ll>> s(m);\n\tREP(i,n) {\n\t\ts[x[i]%m].pb(x[i]);\n\t}\n\tll ret=0;\n\tret+=(ll)s[0].size()/2;\n\tfor(ll i=1; m-i>=i; i++) {\n\t\tif(m-i==i) {\n\t\t\tret+=(ll)s[i].size()/2;\n\t\t\tcontinue;\n\t\t}\n\t\tll sml=i,bg=m-i;\n\t\tif((ll)s[sml].size()>(ll)s[bg].size()) swap(sml,bg);\n\t\tsort(ALL(s[bg]));\n\t\tll cnt=0,buf=0;\n\t\tFOR(j,1,(ll)s[bg].size()) {\n\t\t\tif(s[bg][j]==s[bg][j-1]) {\n\t\t\t\tif(buf==0) buf=2;\n\t\t\t\telse buf++;\n\t\t\t}\n\t\t\telse {\n\t\t\t\tcnt+=buf/2;\n\t\t\t\tbuf=0;\n\t\t\t}\n\t\t}\n\t\tcnt+=buf/2;\n\t\tret+=(ll)s[sml].size();\n\t\tret+=min(((ll)s[bg].size()-(ll)s[sml].size())/2,cnt);\n\t}\n\tcout<<ret<<endl;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.lang.reflect.Array;\nimport java.util.*;\n\npublic class Main {\n\n static BufferedReader in;\n static PrintWriter out;\n static StringTokenizer tok;\n\n void solve() throws IOException {\n int n = ni();\n int m = ni();\n int[] x = nia(n);\n\n HashMap<Integer, Integer> map = new HashMap<>();\n for (int i = 0; i < n; i++) {\n if (map.containsKey(x[i])) {\n map.put(x[i], map.get(x[i]) + 1);\n } else {\n map.put(x[i], 1);\n }\n }\n\n int[][] cnt = new int[2][m];\n for (int t : map.keySet()) {\n cnt[0][t % m] += map.get(t) - map.get(t) % 2;\n cnt[1][t % m] += map.get(t) % 2;\n }\n\n int ans = (cnt[0][0] + cnt[1][0]) / 2;\n for (int i = 1; i <= m / 2; i++) {\n if (i * 2 == m) {\n ans += cnt[1][i] / 2;\n ans += cnt[0][i] / 2;\n } else {\n int tmp = Math.min(cnt[1][i], cnt[1][m - i]);\n cnt[1][i] -= tmp;\n cnt[1][m - i] -= tmp;\n ans += tmp;\n\n int tmp2 = Math.min(cnt[1][i], cnt[0][m - i]);\n cnt[1][i] -= tmp2;\n cnt[0][m - i] -= tmp2;\n ans += tmp2;\n\n int tmp3 = Math.min(cnt[1][m - i], cnt[0][i]);\n cnt[1][m - i] -= tmp3;\n cnt[0][i] -= tmp3;\n ans += tmp3;\n\n ans += cnt[0][i] / 2;\n ans += cnt[0][m - i] / 2;\n }\n }\n\n out.println(ans);\n }\n\n public class Pair implements Comparable<Pair> {\n \tint x, y;\n\n \tpublic Pair(int x, int y) {\n \t\tthis.x = x;\n \t\tthis.y = y;\n \t}\n\n \tpublic int compareTo(Pair p) {\n \t\treturn y - p.y;\n \t}\n }\n\n String ns() throws IOException {\n while (!tok.hasMoreTokens()) {\n tok = new StringTokenizer(in.readLine(), \" \");\n }\n return tok.nextToken();\n }\n\n int ni() throws IOException {\n return Integer.parseInt(ns());\n }\n\n long nl() throws IOException {\n return Long.parseLong(ns());\n }\n\n double nd() throws IOException {\n return Double.parseDouble(ns());\n }\n\n String[] nsa(int n) throws IOException {\n String[] res = new String[n];\n for (int i = 0; i < n; i++) {\n res[i] = ns();\n }\n return res;\n }\n\n int[] nia(int n) throws IOException {\n int[] res = new int[n];\n for (int i = 0; i < n; i++) {\n res[i] = ni();\n }\n return res;\n }\n\n long[] nla(int n) throws IOException {\n long[] res = new long[n];\n for (int i = 0; i < n; i++) {\n res[i] = nl();\n }\n return res;\n }\n\n public static void main(String[] args) throws IOException {\n in = new BufferedReader(new InputStreamReader(System.in));\n out = new PrintWriter(System.out);\n tok = new StringTokenizer(\"\");\n Main main = new Main();\n main.solve();\n out.close();\n }\n}",
"python": "from collections import defaultdict,deque\nimport sys,heapq,bisect,math,itertools,string,queue,datetime\nsys.setrecursionlimit(10**8)\nINF = float('inf')\nmod = 10**9+7\neps = 10**-7\ndef inp(): return int(input())\ndef inpl(): return list(map(int, input().split()))\ndef inpls(): return list(input().split())\n\nN,M = inpl()\nxx = inpl()\nnums = [0]*M\nPairs = [0]*M\ned = defaultdict(int)\n\nfor x in xx:\n\tnums[x%M] += 1\n\tif ed[x] == 0:\n\t\ted[x] = 1\n\telse:\n\t\tPairs[x%M]+=1\n\t\ted[x] = 0\n\nans = 0\nans += nums[0]//2\n\nif M%2 == 0:\n\tans += nums[M//2]//2\n\tfor i in range(1,M//2):\n\t\ta = nums[i]\n\t\tb = nums[M-i]\n\t\tif a < b:\n\t\t\tans += a + min((b-a)//2,Pairs[M-i])\n\t\telse:#b < a:\n\t\t\tans += b + min((a-b)//2,Pairs[i])\nelse:\n\tfor i in range(1,M//2+1):\n\t\ta = nums[i]\n\t\tb = nums[M-i]\n\t\tif a < b:\n\t\t\tans += a + min((b-a)//2,Pairs[M-i])\n\t\telse:#b < a:\n\t\t\tans += b + min((a-b)//2,Pairs[i])\n\nprint(ans)\n"
}
|
|
|
# Circles Intersection
You are given circle $A$ with radius $r_a$ and with central coordinate $(x_a, y_a)$ and circle $B$ with radius $r_b$ and with central coordinate $(x_b, y_b)$.
Write a program which prints:
* "2" if $B$ is in $A$,
* "-2" if $A$ is in $B$,
* "1" if circumference of $A$ and $B$ intersect, and
* "0" if $A$ and $B$ do not overlap.
You may assume that $A$ and $B$ are not identical.
Input
The input consists of multiple datasets. The first line consists of an integer $N$ ($N \leq 50$), the number of datasets. There will be $N$ lines where each line represents each dataset. Each data set consists of real numbers:
$x_a$ $y_a$ $r_a$ $x_b$ $y_b$ $r_b$
Output
For each dataset, print 2, -2, 1, or 0 in a line.
Example
Input
2
0.0 0.0 5.0 0.0 0.0 4.0
0.0 0.0 2.0 4.1 0.0 2.0
Output
2
0
|
[
{
"input": {
"stdin": "2\n0.0 0.0 5.0 0.0 0.0 4.0\n0.0 0.0 2.0 4.1 0.0 2.0"
},
"output": {
"stdout": "2\n0"
}
},
{
"input": {
"stdin": "2\n0.0 0.24407396280008453 5.0 1.4717826557130267 1.81180019862589 4.0\n0.9769597723465082 0.39921226227011497 2.0 4.456171562511242 0.7358711718147521 3.0061092150330126"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n0.1862002303347462 1.1804991696233216 5.97720052787132 2.014536612537453 1.81180019862589 4.634115446683061\n0.9769597723465082 0.39921226227011497 2.0 4.456171562511242 0.7358711718147521 3.0061092150330126"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n3.1147350602004042 4.042950585468981 8.346090594022616 3.394681734559696 4.777899923453189 6.328774266228958\n3.6249592462761786 1.818364378509123 4.579264541699624 6.525780948382415 3.552118764754478 5.284452322696371"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n3.1147350602004042 6.24844223670259 8.532934285306728 3.394681734559696 5.199724891496771 6.328774266228958\n5.443947772192635 2.426875419198473 5.330979165265017 6.577993493319819 3.902262698935009 5.284452322696371"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n2.768549403858919 3.104014127818376 8.346090594022616 2.3968719572280786 4.777899923453189 6.328774266228958\n3.6249592462761786 1.4833368850878772 3.8255604638057257 5.666886669242947 3.552118764754478 5.216151553201928"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n1.7782119048814655 2.168369249018323 8.34592424739532 2.1321559253491804 2.743437963099923 5.422773839085031\n3.070737060428959 1.1383521104600747 3.7548969653034203 5.273208013897418 2.6772099556364646 4.313691818218843"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n0.811277241404971 1.1804991696233216 5.97720052787132 2.1321559253491804 1.81180019862589 4.898405435743801\n1.5169042667075785 0.39921226227011497 2.512872370263131 4.456171562511242 2.169775861927481 3.924014997809771"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n2.768549403858919 3.104014127818376 8.346090594022616 3.394681734559696 4.777899923453189 6.328774266228958\n3.6249592462761786 1.4833368850878772 3.8255604638057257 5.666886669242947 3.552118764754478 5.216151553201928"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n3.1147350602004042 6.24844223670259 9.33710930628096 3.394681734559696 5.199724891496771 6.328774266228958\n5.443947772192635 2.426875419198473 5.330979165265017 6.577993493319819 3.902262698935009 5.284452322696371"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n1.7782119048814655 2.168369249018323 7.461115451033721 2.1321559253491804 2.743437963099923 5.3381350583252125\n3.070737060428959 1.1383521104600747 3.042708614066404 5.273208013897418 2.169775861927481 4.313691818218843"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n1.7782119048814655 3.0744418674273453 8.346090594022616 2.1321559253491804 4.777899923453189 6.270272046549066\n3.6249592462761786 1.4833368850878772 3.8255604638057257 5.463136142070601 3.552118764754478 5.216151553201928"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n0.811277241404971 1.1804991696233216 5.97720052787132 2.014536612537453 1.81180019862589 4.898405435743801\n1.2609752971649137 0.39921226227011497 2.512872370263131 4.456171562511242 2.169775861927481 3.924014997809771"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n0.0 0.24407396280008453 5.0 1.4717826557130267 1.81180019862589 4.0\n0.9769597723465082 0.39921226227011497 2.0 4.456171562511242 0.0 3.0061092150330126"
},
"output": {
"stdout": "1\n1\n"
}
},
{
"input": {
"stdin": "2\n1.7782119048814655 3.104014127818376 8.346090594022616 2.3968719572280786 4.777899923453189 6.328774266228958\n3.6249592462761786 1.4833368850878772 3.8255604638057257 5.666886669242947 3.552118764754478 5.216151553201928"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n3.1147350602004042 4.042950585468981 8.532934285306728 3.394681734559696 4.777899923453189 6.328774266228958\n4.208439027280414 1.818364378509123 4.579264541699624 6.525780948382415 3.552118764754478 5.284452322696371"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n0.0 0.0 5.0 0.0 0.0 4.0\n0.0 0.0 2.0 4.1 0.0 2.4515674947137622"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
"stdin": "2\n3.1147350602004042 3.104014127818376 8.346090594022616 3.394681734559696 4.777899923453189 6.328774266228958\n3.6249592462761786 1.4833368850878772 3.8255604638057257 6.525780948382415 3.552118764754478 5.216151553201928"
},
"output": {
"stdout": "2\n1\n"
}
},
{
"input": {
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"stdout": "2\n1\n"
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"stdout": "2\n1\n"
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"stdin": "2\n0.0 1.1804991696233216 5.0 1.4717826557130267 1.81180019862589 4.0\n0.9769597723465082 0.39921226227011497 2.0 4.456171562511242 0.7358711718147521 3.0061092150330126"
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"stdin": "2\n3.1147350602004042 4.968769205602394 8.532934285306728 3.394681734559696 5.199724891496771 6.328774266228958\n4.906409876074726 2.426875419198473 4.579264541699624 6.525780948382415 3.902262698935009 5.284452322696371"
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"stdin": "2\n1.7782119048814655 3.0744418674273453 8.34592424739532 2.1321559253491804 4.777899923453189 6.1263826782839566\n3.374194988713775 1.4833368850878772 3.8255604638057257 5.463136142070601 3.552118764754478 5.216151553201928"
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"stdout": "2\n1\n"
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"stdin": "2\n1.7782119048814655 2.168369249018323 7.461115451033721 2.1321559253491804 2.072303142011048 5.3381350583252125\n3.070737060428959 1.1383521104600747 3.042708614066404 5.273208013897418 2.169775861927481 4.313691818218843"
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"stdin": "2\n1.3018830993798196 2.168369249018323 7.461115451033721 2.1321559253491804 2.072303142011048 5.3381350583252125\n2.2954209163006065 1.0592456355194266 3.042708614066404 5.273208013897418 2.169775861927481 4.313691818218843"
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"stdout": "2\n1\n"
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"stdin": "2\n0.0 0.24407396280008453 5.0 0.8233993605029404 1.5542884595470625 4.0\n0.9769597723465082 0.0 2.0 4.1 0.0 3.0061092150330126"
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"stdout": "1\n1\n"
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"stdout": "2\n1\n"
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"stdout": "1\n1\n"
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"stdin": "2\n0.504386745025055 1.1804991696233216 5.97720052787132 2.014536612537453 1.81180019862589 4.898405435743801\n1.2609752971649137 0.39921226227011497 2.512872370263131 4.456171562511242 1.2163509207626144 3.401472987510204"
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"stdout": "1\n1\n"
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"stdin": "2\n3.1147350602004042 3.104014127818376 8.346090594022616 3.394681734559696 4.777899923453189 6.328774266228958\n3.6249592462761786 1.4833368850878772 3.8255604638057257 5.666886669242947 3.552118764754478 5.216151553201928"
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"stdout": "2\n1\n"
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"stdin": "2\n0.0 1.1804991696233216 5.97720052787132 1.4717826557130267 1.81180019862589 4.0\n0.9769597723465082 0.39921226227011497 2.0 4.456171562511242 0.7358711718147521 3.0061092150330126"
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"stdout": "2\n1\n"
}
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"input": {
"stdin": "2\n1.7782119048814655 3.0744418674273453 8.346090594022616 2.1321559253491804 4.777899923453189 6.270272046549066\n3.374194988713775 1.4833368850878772 3.8255604638057257 5.463136142070601 3.552118764754478 5.216151553201928"
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"stdout": "2\n1\n"
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"stdin": "2\n0.504386745025055 1.1804991696233216 5.97720052787132 2.014536612537453 1.81180019862589 4.898405435743801\n1.2609752971649137 0.39921226227011497 2.512872370263131 4.456171562511242 2.169775861927481 3.924014997809771"
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"stdout": "1\n1\n"
}
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"input": {
"stdin": "2\n1.3018830993798196 1.1804991696233216 5.97720052787132 2.1321559253491804 1.81180019862589 4.898405435743801\n1.5169042667075785 0.39921226227011497 2.512872370263131 4.536795355286999 2.169775861927481 3.924014997809771"
},
"output": {
"stdout": "2\n1\n"
}
}
] |
{
"tags": [],
"title": "Circles Intersection"
}
|
{
"cpp": "#include<iostream>\nusing namespace std;\nint main(){\n int n;\n cin >>n;\n while(n--){\n double a[3],b[3],dis,m;\n cin >>a[0]>>a[1]>>a[2]>>b[0]>>b[1]>>b[2];\n dis = (a[0]-b[0])*(a[0]-b[0])+(a[1]-b[1])*(a[1]-b[1]);\n if(dis>(a[2]+b[2])*(a[2]+b[2])) cout <<\"0\"<<endl;\n else if(dis<(a[2]-b[2])*(a[2]-b[2])){\n if(a[2]>b[2]) cout <<\"2\"<<endl;\n else cout <<\"-2\"<<endl;\n }\n else cout <<\"1\"<<endl;\n \n }\n return 0;\n}",
"java": "import java.util.Scanner;\n\npublic class Main {\n\tpublic static void main(String args[]) {\n\t\tScanner sc = new Scanner(System.in);\n\t\tint n;\n\t\tdouble r1, r2;\n\t\tdouble x1, x2, y1, y2;\n\t\tdouble length;\n\n\t\tn = sc.nextInt();\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tx1 = sc.nextDouble();\n\t\t\ty1 = sc.nextDouble();\n\t\t\tr1 = sc.nextDouble();\n\t\t\tx2 = sc.nextDouble();\n\t\t\ty2 = sc.nextDouble();\n\t\t\tr2 = sc.nextDouble();\n\t\t\tlength = Math.sqrt((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));\n\t\t\tif (length < Math.abs(r2 - r1)) {\n\t\t\t\tif (r2 < r1) {\n\t\t\t\t\tSystem.out.println(\"2\");\n\t\t\t\t} else {\n\t\t\t\t\tSystem.out.println(\"-2\");\n\t\t\t\t}\n\t\t\t} else if (length <= r1 + r2) {\n\t\t\t\tSystem.out.println(\"1\");\n\t\t\t} else {\n\t\t\t\tSystem.out.println(\"0\");\n\t\t\t}\n\t\t}\n\t}\n}",
"python": "import math\nnum = int(input())\nfor i in range(num):\n lst = list(map(float, input().split()))\n xa, ya, ra = lst[0], lst[1], lst[2]\n xb, yb, rb = lst[3], lst[4], lst[5]\n\n d = math.sqrt((xa - xb)**2 + (ya - yb)**2)\n\n if ra + rb < d:\n print(0)\n\n elif d + min(ra, rb) < max(ra, rb):\n if ra < rb:\n print(-2)\n else:\n print(2)\n\n else:\n print(1)\n"
}
|
|
|
# Sum of Cards
Let's play the game using a bag containing several cards with integers written on it. In each game, participants first declare one of their favorite number n. Then, take out an appropriate number of cards from the bag at a time, and if the sum of the numbers written on those cards is equal to n, you will receive a luxurious prize. After each game, the cards will be returned to the bag.
Create a program that inputs the information of m types of cards in the bag and the number declared by the participants in g games, and outputs how many combinations of cards can receive luxury products in each game. please.
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format:
m
a1 b1
a2 b2
::
am bm
g
n1
n2
::
ng
The number of card types m (1 ≤ m ≤ 7) on the first line, the integer ai (1 ≤ ai ≤ 100) written on the i-type card on the following m line, and the number bi (1 ≤ bi ≤ 10) Are given with a space delimiter.
The next line is given the number of games g (1 ≤ g ≤ 10), and the next g line is given the integer ni (1 ≤ ni ≤ 1,000) declared in game i.
The number of datasets does not exceed 100.
Output
For each input dataset, the i line prints the number of card combinations that will give you a gorgeous prize in Game i.
Example
Input
5
1 10
5 3
10 3
25 2
50 2
4
120
500
100
168
7
1 10
3 10
5 10
10 10
25 10
50 10
100 10
3
452
574
787
0
Output
16
0
12
7
9789
13658
17466
|
[
{
"input": {
"stdin": "5\n1 10\n5 3\n10 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n50 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n7\n9789\n13658\n17466"
}
},
{
"input": {
"stdin": "5\n2 10\n6 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n17 15\n25 10\n16 4\n100 6\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "7\n0\n7\n0\n10834\n11693\n11242\n"
}
},
{
"input": {
"stdin": "5\n1 10\n5 3\n10 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n308\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n7\n17574\n14326\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n4 10\n9 10\n17 5\n28 1\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n12\n5\n1877\n1903\n1170\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n17 15\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n11\n6\n23233\n25734\n25772\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 2\n4\n120\n339\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 22\n111 10\n3\n766\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n11\n6\n39716\n38078\n39696\n"
}
},
{
"input": {
"stdin": "5\n1 10\n10 3\n10 4\n25 1\n50 1\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n10 10\n25 10\n50 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "7\n0\n11\n0\n9649\n13527\n17402\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "12\n0\n12\n5\n27734\n27495\n26292\n"
}
},
{
"input": {
"stdin": "5\n2 18\n5 3\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n13 10\n25 2\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n8\n4812\n4851\n4860\n"
}
},
{
"input": {
"stdin": "5\n2 10\n9 3\n5 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "11\n0\n11\n8\n17574\n17580\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 15\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n25384\n25563\n25591\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 1\n50 2\n4\n120\n500\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n9\n2\n24107\n27495\n27870\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "12\n0\n12\n5\n24107\n27495\n27870\n"
}
},
{
"input": {
"stdin": "5\n2 18\n5 3\n5 2\n2 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n13 10\n25 2\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "14\n0\n10\n0\n4812\n4851\n4860\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n2 8\n4 10\n9 10\n17 5\n28 1\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n12\n5\n1881\n1904\n1224\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n17 15\n25 10\n16 4\n100 6\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n10834\n11693\n11242\n"
}
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{
"input": {
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},
"output": {
"stdout": "18\n0\n18\n8\n9789\n13658\n17466\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n120\n714\n110\n168\n7\n1 8\n3 10\n5 10\n17 15\n7 10\n10 15\n110 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "12\n0\n12\n5\n28193\n28046\n28152\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 0\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "3\n0\n3\n0\n17574\n17580\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 28\n5 4\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n4 10\n9 10\n17 5\n6 1\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n18\n11\n1863\n1908\n1042\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n17 15\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n23233\n25734\n25772\n"
}
},
{
"input": {
"stdin": "5\n2 17\n1 7\n5 2\n9 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n3 10\n9 1\n17 15\n28 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n10\n0\n5024\n5000\n4693\n"
}
},
{
"input": {
"stdin": "5\n1 10\n10 3\n10 4\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n10 10\n25 10\n50 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "15\n0\n19\n2\n9649\n13527\n17402\n"
}
},
{
"input": {
"stdin": "5\n1 10\n10 3\n10 4\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n50 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "20\n0\n20\n10\n9789\n13658\n17466\n"
}
},
{
"input": {
"stdin": "5\n1 10\n5 3\n10 3\n25 2\n50 2\n4\n120\n500\n100\n303\n7\n1 10\n3 10\n5 10\n12 10\n25 10\n10 4\n100 10\n3\n452\n68\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n0\n7956\n517\n8109\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n4 10\n9 10\n17 5\n28 14\n10 15\n110 7\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n12\n5\n14257\n13981\n14255\n"
}
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{
"input": {
"stdin": "5\n1 10\n10 3\n10 4\n25 2\n50 0\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n10 10\n25 10\n50 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "3\n0\n8\n0\n9649\n13527\n17402\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 3\n10 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n132\n0"
},
"output": {
"stdout": "15\n0\n13\n7\n17574\n17580\n3237\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n17 15\n25 10\n16 10\n100 6\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n21585\n25306\n25226\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 0\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n17 15\n25 10\n10 10\n110 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n1\n0\n21344\n23406\n23414\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n2 10\n3 10\n5 10\n17 15\n25 10\n16 10\n100 6\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n21329\n25237\n25293\n"
}
},
{
"input": {
"stdin": "5\n3 10\n5 3\n5 2\n25 2\n50 1\n4\n175\n500\n100\n168\n7\n1 10\n3 10\n5 10\n4 10\n25 5\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n9\n0\n9648\n9789\n9772\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 10\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "12\n0\n12\n5\n27790\n27495\n27870\n"
}
},
{
"input": {
"stdin": "5\n1 10\n5 3\n10 3\n25 2\n50 1\n4\n120\n500\n100\n303\n7\n1 10\n3 10\n5 10\n12 10\n25 10\n10 4\n100 10\n3\n452\n68\n787\n0"
},
"output": {
"stdout": "10\n0\n11\n0\n7956\n517\n8109\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n3 10\n9 10\n17 15\n25 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n12\n5\n27850\n27303\n26766\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n17 15\n25 10\n10 6\n110 1\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n11\n6\n8719\n3632\n0\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 3\n5 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n6\n17574\n17580\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n5 2\n25 2\n50 1\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "9\n0\n10\n0\n17574\n17580\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 1\n5 2\n25 1\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 0\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "3\n0\n4\n0\n7874\n2934\n0\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 3\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "13\n0\n8\n5\n17574\n17580\n17578\n"
}
},
{
"input": {
"stdin": "5\n2 10\n9 3\n5 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 10\n100 10\n3\n452\n574\n904\n0"
},
"output": {
"stdout": "11\n0\n11\n8\n17574\n17580\n17563\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 4\n2 2\n25 2\n50 2\n4\n120\n339\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 22\n111 10\n3\n766\n574\n787\n0"
},
"output": {
"stdout": "14\n0\n8\n6\n39716\n38078\n39696\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 1\n5 2\n25 0\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n5 10\n17 15\n25 10\n10 15\n110 0\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "3\n0\n1\n0\n7874\n2934\n0\n"
}
},
{
"input": {
"stdin": "5\n2 17\n1 7\n5 2\n9 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n3 10\n9 10\n17 15\n28 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n10\n0\n27847\n26808\n26852\n"
}
},
{
"input": {
"stdin": "5\n2 18\n5 3\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 2\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n8\n4796\n4804\n4798\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 7\n5 2\n25 1\n50 2\n4\n228\n714\n100\n168\n7\n1 8\n3 10\n9 10\n17 15\n28 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n18\n11\n27847\n26808\n26852\n"
}
},
{
"input": {
"stdin": "5\n2 17\n5 4\n5 2\n25 1\n50 2\n4\n120\n714\n100\n168\n7\n1 8\n3 10\n9 10\n17 15\n25 10\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "12\n0\n12\n5\n27850\n27303\n26766\n"
}
},
{
"input": {
"stdin": "5\n4 12\n5 4\n5 2\n25 1\n50 0\n4\n228\n714\n100\n168\n7\n1 8\n4 10\n9 10\n17 3\n6 1\n10 15\n110 5\n3\n692\n574\n787\n0"
},
"output": {
"stdout": "0\n0\n0\n0\n1228\n1283\n568\n"
}
},
{
"input": {
"stdin": "5\n1 10\n5 3\n10 3\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 10\n10 4\n100 10\n3\n452\n68\n787\n0"
},
"output": {
"stdout": "16\n0\n12\n7\n7956\n604\n8025\n"
}
},
{
"input": {
"stdin": "5\n2 10\n5 3\n5 2\n25 2\n50 2\n4\n120\n500\n100\n168\n7\n1 10\n3 10\n5 10\n10 10\n25 2\n10 10\n100 10\n3\n452\n574\n787\n0"
},
"output": {
"stdout": "13\n0\n8\n5\n4796\n4804\n4798\n"
}
}
] |
{
"tags": [],
"title": "Sum of Cards"
}
|
{
"cpp": "#include <iostream>\n#include <stdio.h>\n\nusing namespace std;\n\nint m,cn[8],ck[8],an[10000];\n\nvoid cal(int s,int k) {\n\tint i;\n\tif (k==m) return;\n\tfor (i=0;i<=ck[k];i++) {\n\t\tif (i>0) an[s+i*cn[k]]++;\n\t\tcal(s+i*cn[k],k+1);}\n}\n\nint main() {\n int i,g,n;\n while(cin >> m) {\n\t if (m==0) break;\n\t for (i=0;i<m;i++) cin >> cn[i] >> ck[i];\n for (i=0;i<10000;i++) an[i]=0;\n\t cal(0,0);\n\t cin >> g;\n\t for (i=0;i<g;i++) { cin >> n; cout << an[n] << endl; }\n }\nreturn 0;\n }",
"java": "import java.io.*;\n\npublic class Main{\n\tpublic static void main(String args[]){\n\t\ttry{\n\t\t\tnew Main();\n\t\t}catch(IOException e){\n\t\t\te.printStackTrace();\n\t\t}\n\t}\n\t\n\tpublic Main() throws IOException{\n\t\tBufferedReader in = new BufferedReader(new InputStreamReader(System.in));\n\t\tString line;\n\t\t\n\t\twhile((line = in.readLine()) != null){\n\t\t\tint size = Integer.parseInt(line);\n\t\t\tif(size==0) break;\n\t\t\tint[][] data = new int[size][2];\n\t\t\tfor(int n=0; n<size; n++){\n\t\t\t\tline = in.readLine();\n\t\t\t\tString[] tmp = line.split(\" \");\n\t\t\t\tdata[n][0] = Integer.parseInt(tmp[0]);\n\t\t\t\tdata[n][1] = Integer.parseInt(tmp[1]);\n\t\t\t}\n\t\t\t\n\t\t\tline = in.readLine();\n\t\t\tsize = Integer.parseInt(line);\n\t\t\tfor(int n=0; n<size; n++){\n\t\t\t\tline = in.readLine();\n\t\t\t\tint num = Integer.parseInt(line);\n\t\t\t\tint[] N = {0};\n\t\t\t\tcount(data, num, N, 0, 0);\n\t\t\t\tSystem.out.println(N[0]);\n\t\t\t}\n\t\t}\n\t}\n\t\n\tpublic void count(int[][] data, int ans, int[] N, int current, int depth){\n\t\tif(current > ans){\n\t\t\treturn;\n\t\t}\n\t\tif(depth != data.length){\n\t\t\tint cost = current;\n\t\t\tfor(int n=0; n<=data[depth][1]; n++){\n\t\t\t\tcount(data, ans, N, cost, depth+1);\n\t\t\t\tcost += data[depth][0];\n\t\t\t}\n\t\t}\n\t\telse{\n\t\t\tif(current == ans){\n\t\t\t\tN[0]++;\n\t\t\t}\n\t\t}\n\t}\n}",
"python": "def get_input():\n while True:\n try:\n yield ''.join(input())\n except EOFError:\n break\n\n\nwhile True:\n m = int(input())\n if m == 0:\n break\n\n a = [0 for i in range(7)]\n b = [0 for i in range(7)]\n for i in range(m):\n a[i],b[i] = [int(j) for j in input().split()]\n\n dp = [[0 for i in range(1001)] for j in range(8)]\n dp[0][0] = 1\n for i in range(7):\n for j in range(1001):\n for k in range(b[i] + 1):\n if j + a[i]*k <= 1000:\n dp[i+1][j + a[i]*k] += dp[i][j]\n\n g = int(input())\n for i in range(g):\n n = int(input())\n print(dp[m][n])\n\n\n\n"
}
|
|
|
# Fishing Competition
The brothers Hiroshi and Kenjiro came to Lake Inawashiro for fishing. The two decided to score as follows and compete with the total score of the fish they caught.
* One char is a point
* One yamame trout b points
* Add c points for every 10 chars
* Add d points for every 20 yamame trout
Create a program to determine which one wins or draws based on the number of fish caught by Hiroshi and Kenjiro.
Input
The input is given in the following format.
h1 h2
k1 k2
a b c d
The first line gives the number of chars h1 (0 ≤ h1 ≤ 100) and the number of yamame trout h2 (0 ≤ h2 ≤ 100) caught by Hiroshi. The second line gives the number of chars k1 (0 ≤ k1 ≤ 100) and the number of yamame trout k2 (0 ≤ k2 ≤ 100) caught by Kenjiro. On the third line, the score for each char is a (1 ≤ a ≤ 100), the score for each yamame trout is b (1 ≤ b ≤ 100), and the additional score for every 10 chars is c (0 ≤ c ≤ 100). ), An additional score d (0 ≤ d ≤ 100) is given for every 20 chars.
Output
If Hiro wins, hiroshi, if Kenjiro wins, kenjiro, and if a tie, even, output on one line.
Examples
Input
5 1
3 1
1 2 5 5
Output
hiroshi
Input
5 1
4 2
1 2 5 5
Output
kenjiro
Input
0 20
10 0
1 1 10 0
Output
even
|
[
{
"input": {
"stdin": "5 1\n3 1\n1 2 5 5"
},
"output": {
"stdout": "hiroshi"
}
},
{
"input": {
"stdin": "0 20\n10 0\n1 1 10 0"
},
"output": {
"stdout": "even"
}
},
{
"input": {
"stdin": "5 1\n4 2\n1 2 5 5"
},
"output": {
"stdout": "kenjiro"
}
},
{
"input": {
"stdin": "0 0\n2 -1\n1 -1 6 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "4 1\n2 0\n1 1 6 2"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 1\n7 1\n0 0 20 -2"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "1 0\n2 -1\n1 -1 6 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "0 1\n7 1\n0 0 24 -4"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "0 11\n10 0\n1 1 14 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "4 1\n1 2\n1 1 6 1"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "4 0\n2 2\n0 -1 6 0"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "11 3\n3 1\n0 3 5 3"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "4 0\n2 0\n0 -1 6 0"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "0 13\n10 0\n2 1 10 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "9 2\n3 1\n0 2 5 3"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "3 0\n2 0\n0 -1 6 0"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "0 2\n10 2\n-1 2 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n7 1\n0 0 24 -4"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "11 3\n1 2\n-1 3 5 3"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "0 11\n10 0\n-1 2 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "4 1\n1 2\n0 1 6 1"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "8 1\n2 0\n1 1 6 2"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "5 1\n4 1\n1 0 5 -1"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 11\n10 0\n0 1 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n7 1\n-1 0 24 -4"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 2\n10 1\n-1 2 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "1 0\n2 0\n1 -1 6 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n13 1\n-1 0 24 -2"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n19 4\n-1 1 24 -1"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "5 0\n2 1\n0 0 6 -1"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "2 0\n1 0\n0 0 6 1"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "2 1\n13 1\n-1 0 24 -4"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n19 4\n-1 1 24 -2"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "9 3\n0 0\n-1 3 5 0"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "9 1\n3 1\n1 2 5 3"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "1 1\n10 2\n-2 1 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 1\n10 4\n-1 1 24 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "3 0\n2 0\n1 -1 6 0"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 1\n10 2\n-2 2 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "0 1\n7 1\n0 0 24 -2"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "11 3\n0 2\n-1 3 5 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "4 1\n1 2\n1 1 6 2"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "11 3\n0 0\n-1 3 5 0"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 1\n7 2\n0 0 0 -2"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "0 11\n10 0\n2 1 10 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "5 1\n4 1\n1 2 5 0"
},
"output": {
"stdout": "hiroshi\n"
}
},
{
"input": {
"stdin": "0 2\n10 2\n-2 2 41 0"
},
"output": {
"stdout": "kenjiro\n"
}
},
{
"input": {
"stdin": "2 0\n0 0\n0 0 6 1"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "0 1\n7 1\n0 0 0 -2"
},
"output": {
"stdout": "even\n"
}
},
{
"input": {
"stdin": "2 1\n19 4\n-1 0 24 -2"
},
"output": {
"stdout": "kenjiro\n"
}
}
] |
{
"tags": [],
"title": "Fishing Competition"
}
|
{
"cpp": "#include <iostream>\nusing namespace std;\n\nint main() {\n\n\tint h1, h2, k1, k2, a, b, c, d, n, m;\n\n\tcin >> h1 >> h2 >> k1 >> k2 >> a >> b >> c >> d;\n\n\tn = a * h1 + b * h2 + c * (h1 / 10) + d * (h2 / 20);\n\tm = a * k1 + b * k2 + c * (k1 / 10) + d * (k2 / 20);\n\tif(n > m) \n\t\tcout << \"hiroshi\" << endl;\n\telse if (n < m)\n\t\tcout << \"kenjiro\" << endl;\n\telse\n\t\tcout << \"even\" << endl;\n\n\treturn 0;\n}\n",
"java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\n\npublic class Main {\n\n\tpublic static void main(String[] args) throws IOException {\n\n\t\tint scoreh = 0;\n\t\tint scorek = 0;\n\n\t\tInputStreamReader is = new InputStreamReader(System.in);\n\t\tBufferedReader br = new BufferedReader(is);\n\n\t\tString str1;\n\t\tstr1=br.readLine();\n\t\tString[] sp1 = str1.split(\" \");\n\n\t\tint h1 = Integer.parseInt(sp1[0]);\n\t\tint h2 = Integer.parseInt(sp1[1]);\n\n\t\tString str2;\n\t\tstr2=br.readLine();\n\t\tString[] sp2 = str2.split(\" \");\n\n\t\tint k1 = Integer.parseInt(sp2[0]);\n\t\tint k2 = Integer.parseInt(sp2[1]);\n\n\t\tString str3;\n\t\tstr3=br.readLine();\n\t\tString[] sp3 = str3.split(\" \");\n\n\t\tint a = Integer.parseInt(sp3[0]);\n\t\tint b = Integer.parseInt(sp3[1]);\n\t\tint c = Integer.parseInt(sp3[2]);\n\t\tint d = Integer.parseInt(sp3[3]);\n\n\t\tscoreh = h1 * a + h2 * b + (h1 / 10) * c + (h2 / 20) * d;\n\t\tscorek = k1 * a + k2 * b + (k1 / 10) * c + (k2 / 20) * d;\n\n\t\tif(scoreh > scorek){\n\t\t\tSystem.out.println(\"hiroshi\");\n\t\t} else if(scoreh < scorek){\n\t\t\tSystem.out.println(\"kenjiro\");\n\t\t} else{\n\t\t\tSystem.out.println(\"even\");\n\t\t}\n\t}\n}",
"python": "h1, h2 = map(int, input().split())\nk1, k2 = map(int, input().split())\na, b, c, d = map(int, input().split())\n\nhiroshi = h1*a + h1//10*c + h2*b + h2//20*d\nkenjiro = k1*a + k1//10*c + k2*b + k2//20*d\n\nif hiroshi > kenjiro:\n print(\"hiroshi\")\nelif hiroshi < kenjiro:\n print(\"kenjiro\")\nelse:\n print(\"even\")\n\n"
}
|
|
|
# Exposition
problem
JOI City will hold a large-scale exposition.
There are two themes for this exposition, and each of the N exhibition facilities in JOI City will exhibit on one of the two themes.
The location of the facility is represented by plane coordinates (x, y). To move from the facility at position (x, y) to the facility at (x ′, y ′), | x − x ′ | + It takes only | y − y ′ | (for the integer a, | a | represents the absolute value of a). To create a sense of unity within the same theme, and to be interested in only one theme. In order not to make people feel inconvenience, I would like to assign the theme so that the travel time between two facilities exhibiting on the same theme is as short as possible. Unless the same theme is assigned to all exhibition facilities. , How can you divide the theme.
Let M be the maximum travel time between two facilities exhibiting on the same theme. Create a program to find the minimum value of M given the locations of N exhibition facilities.
output
The output consists of only one line. Output the maximum value M of the maximum travel time between two facilities exhibiting on the same theme.
Input / output example
Input example 1
Five
0 0
Ten
-1 -2
0 1
-1 1
Output example 1
3
In this case, for example, one theme for the facility at coordinates (0, 0), (1, 0), (0, 1), and another theme for the facility at (−1, −2), (−1, 1). When one theme is assigned, the travel time between two facilities exhibiting on the same theme is all 3 or less. Since the travel time cannot be all 2 or less, 3 is output.
The above question sentences and the data used for the automatic referee are the question sentences created and published by the Japan Committee for Information Olympics and the test data for scoring.
input
The first line of input contains the number of facilities N (3 ≤ N ≤ 100000 = 105). The first line of input i + 1 (1 ≤ i ≤ N) represents the coordinates of each facility. The two integers xi, yi (| xi | ≤ 100000 = 105, | yi | ≤ 100000 = 105) are separated by blanks. This is where the coordinates of the i-th facility are (xi, yi). It means that there can be no more than one facility at the same coordinates.
Of the scoring data, 40% of the points are N ≤ 2000.
Example
Input
5
0 0
1 0
-1 -2
0 1
-1 1
Output
3
|
[
{
"input": {
"stdin": "5\n0 0\n1 0\n-1 -2\n0 1\n-1 1"
},
"output": {
"stdout": "3"
}
},
{
"input": {
"stdin": "5\n-2 0\n118 -1\n15 -11\n-9 2\n0 -3"
},
"output": {
"stdout": "37\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n-1 3\n0 -2\n-2 26\n-9 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5\n-5 2\n-1 2\n0 -2\n-3 26\n-9 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5\n-7 -8\n1 0\n5 0\n-6 -1\n-23 -2"
},
"output": {
"stdout": "20\n"
}
},
{
"input": {
"stdin": "5\n-1 1\n1 1\n0 -1\n-2 4\n-4 1"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-4 0\n39 1\n15 -11\n-7 0\n0 -3"
},
"output": {
"stdout": "33\n"
}
},
{
"input": {
"stdin": "5\n3 -5\n16 5\n1 -7\n-46 -1\n-2 -1"
},
"output": {
"stdout": "27\n"
}
},
{
"input": {
"stdin": "5\n1 -5\n16 3\n1 -7\n-46 -1\n-2 -1"
},
"output": {
"stdout": "25\n"
}
},
{
"input": {
"stdin": "5\n0 0\n2 0\n0 -1\n-2 3\n-4 2"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n0 0\n0 0\n5 0\n0 0\n0 1"
},
"output": {
"stdout": "1\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n0 -1\n-1 3\n-35 2"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-1 2\n1 1\n0 -1\n-2 4\n-5 1"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "5\n-8 -8\n1 0\n2 1\n-6 -1\n-23 -2"
},
"output": {
"stdout": "19\n"
}
},
{
"input": {
"stdin": "5\n-1 0\n2 0\n0 -1\n-1 3\n-2 2"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-1 1\n2 1\n0 -1\n-2 4\n-4 1"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n-1 1\n0 -1\n-2 14\n-5 1"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "5\n0 0\n2 1\n0 -1\n-2 4\n-4 2"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-1 0\n2 0\n0 0\n-1 2\n-2 2"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n0 -1\n-1 2\n-22 2"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-3 2\n-1 2\n0 -2\n-3 26\n-9 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5\n-7 -6\n0 -1\n0 -1\n-1 0\n-7 3"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5\n-4 -1\n1 1\n2 1\n-10 -1\n-32 -1"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "5\n-2 -1\n1 0\n0 -1\n-1 1\n-5 3"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n0 2\n0 -2\n-3 26\n-13 1"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "5\n-1 -1\n39 2\n7 -11\n-25 0\n-1 -1"
},
"output": {
"stdout": "43\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n0 0\n0 -1\n-2 2\n-13 1"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n-1 2\n0 -2\n-3 26\n-13 1"
},
"output": {
"stdout": "16\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n2 0\n0 -1\n0 2\n-1 1"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n0 2\n0 -1\n-5 26\n-13 1"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5\n3 -5\n16 5\n2 -7\n-46 -1\n-2 -1"
},
"output": {
"stdout": "26\n"
}
},
{
"input": {
"stdin": "5\n-1 0\n1 0\n-1 -2\n0 1\n-1 1"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-1 0\n2 0\n0 0\n-1 3\n-2 2"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n0 -1\n-1 3\n-35 3"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n-1 2\n0 -1\n-2 18\n-5 1"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "5\n0 0\n2 0\n1 -1\n-2 3\n-4 2"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-3 2\n-1 2\n0 -2\n-2 26\n-9 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5\n0 0\n2 0\n0 -1\n-2 6\n-4 2"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n0 -1\n-1 2\n-22 1"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-2 -1\n1 0\n-1 -1\n-1 0\n-5 6"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n1 -6\n8 3\n0 -12\n-29 0\n-2 -1"
},
"output": {
"stdout": "23\n"
}
},
{
"input": {
"stdin": "5\n-1 -1\n23 2\n4 -11\n-25 -1\n-1 -1"
},
"output": {
"stdout": "32\n"
}
},
{
"input": {
"stdin": "5\n1 -5\n8 3\n0 -13\n-46 -1\n-1 0"
},
"output": {
"stdout": "24\n"
}
},
{
"input": {
"stdin": "5\n-2 -1\n1 0\n0 -1\n-1 1\n-5 6"
},
"output": {
"stdout": "4\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n0 -1\n-2 2\n-22 1"
},
"output": {
"stdout": "5\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n0 0\n0 -1\n-8 48\n-13 1"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5\n-2 0\n1 0\n-1 -2\n0 1\n-1 1"
},
"output": {
"stdout": "3\n"
}
},
{
"input": {
"stdin": "5\n-2 2\n0 2\n0 -1\n-8 26\n-13 1"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5\n-3 0\n72 0\n15 -11\n-7 2\n0 -4"
},
"output": {
"stdout": "35\n"
}
},
{
"input": {
"stdin": "5\n-1 0\n2 0\n0 -1\n0 2\n-2 2"
},
"output": {
"stdout": "3\n"
}
}
] |
{
"tags": [],
"title": "Exposition"
}
|
{
"cpp": "#include<iostream>\n#include<algorithm>\n#include<vector>\n#include<cstdio>\n#include<list>\n#include<queue>\n#include<string.h>\n#include<functional>\n#include<stack>\n#include<deque>\n#include<string>\n#include<limits.h>\n#include<map>\n#include<set>\n#include<unordered_map>\n#include<unordered_set>\n#define int long long\nusing namespace std;\n\nint x[100000], y[100000];\nsigned main() {\n\tint n; cin >> n;\n\tfor (int i = 0; i < n; i++) {\n\t\tint a, b; cin >> a >> b;\n\t\tx[i] = a + b, y[i] = a - b;\n\t}\n\tint minx = *min_element(x, x + n);\n\tint maxx = *max_element(x, x + n);\n\tint miny = *min_element(y, y + n);\n\tint maxy = *max_element(y, y + n);\n\tint a = 0, b = 0;\n\tfor (int i = 0; i < n; i++) {\n\t\ta = max(a, min(max(x[i] - minx, y[i] - miny), max(maxx - x[i], maxy - y[i])));\n\t\tb = max(b, min(max(x[i] - minx, maxy - y[i]), max(maxx - x[i], y[i] - miny)));\n\t}\n\tcout << min(a, b) << endl;\n}",
"java": "\nimport java.io.IOException;\nimport java.util.Scanner;\n\npublic class Main {\n\n\tpublic static void main(String[] args) throws IOException {\n\n\t\tnew Main().run();\n\t}\n\n\tprivate void run() throws IOException {\n\t\tScanner scanner = new Scanner(System.in);\n\t\tint n = scanner.nextInt();\n\t\tint[] x = new int[n];\n\t\tint[] y = new int[n];\n\t\tint xmax = Integer.MIN_VALUE;\n\t\tint ymax = Integer.MIN_VALUE;\n\t\tint xmin = Integer.MAX_VALUE;\n\t\tint ymin = Integer.MAX_VALUE;\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tint a = scanner.nextInt();\n\t\t\tint b = scanner.nextInt();\n\t\t\tx[i] = a - b;\n\t\t\ty[i] = a + b;\n\t\t\txmax = Math.max(xmax, x[i]);\n\t\t\tymax = Math.max(ymax, y[i]);\n\t\t\txmin = Math.min(xmin, x[i]);\n\t\t\tymin = Math.min(ymin, y[i]);\n\t\t}\n\t\tint ret = 0;\n\t\tint ret2 = 0;\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tret = Math.max(\n\t\t\t\t\tret,\n\t\t\t\t\tMath.min(dist(xmax, x[i], ymax, y[i]),\n\t\t\t\t\t\t\tdist(x[i], xmin, y[i], ymin)));\n\t\t\tret2 = Math.max(\n\t\t\t\t\tret2,\n\t\t\t\t\tMath.min(dist(xmax, x[i], y[i], ymin),\n\t\t\t\t\t\t\tdist(x[i], xmin, ymax, y[i])));\n\t\t}\n\t\tSystem.out.println(Math.min(ret, ret2));\n\n\t}\n\n\tprivate int dist(int a, int b, int c, int d) {\n\t\treturn Math.max(a - b, c - d);\n\t}\n}",
"python": "# AOJ 0552: Exposition\n# Python3 2018.7.1 bal4u\n\nimport sys\nfrom sys import stdin\ninput = stdin.readline\n\nx, y = [], []\nn = int(input())\nfor i in range(n):\n\ta, b = map(int, input().split())\n\tx.append(a+b)\n\ty.append(a-b)\nxmin, xmax = min(x), max(x)\nymin, ymax = min(y), max(y)\nans1 = ans2 = 0\nfor i in range(n):\n\td1 = max(x[i]-xmin, y[i]-ymin)\n\td2 = max(xmax-x[i], ymax-y[i])\n\tans1 = max(ans1, min(d1, d2))\n\n\td1 = max(x[i]-xmin, ymax-y[i])\n\td2 = max(xmax-x[i], y[i]-ymin)\n\tans2 = max(ans2, min(d1, d2))\nprint(min(ans1, ans2))\n"
}
|
|
|
# 11224111122411
My arm is stuck and I can't pull it out.
I tried to pick up something that had rolled over to the back of my desk, and I inserted my arm while illuminating it with the screen of my cell phone instead of a flashlight, but I accidentally got caught in something and couldn't pull it out. It hurts if you move it forcibly.
What should I do. How can I escape? Do you call for help out loud? I'm embarrassed to dismiss it, but it seems difficult to escape on my own. No, no one should have been within reach. Hold down your impatience and look around. If you can reach that computer, you can call for help by email, but unfortunately it's too far away. After all, do we have to wait for someone to pass by by chance?
No, wait, there is a machine that sends emails. It's already in your hands, rather than within reach. The screen at the tip of my deeply extended hand is blurry and hard to see, but it's a mobile phone I've been using for many years. You should be able to send emails even if you can't see the screen.
Carefully press the button while drawing the screen in your head. Rely on the feel of your finger and type in a message by pressing the number keys many times to avoid making typos. It doesn't convert to kanji, and it should be transmitted even in hiragana. I'm glad I didn't switch to the mainstream smartphones for the touch panel.
Take a deep breath and put your finger on the send button. After a while, my cell phone quivered lightly. It is a signal that the transmission is completed. sigh. A friend must come to help after a while.
I think my friends are smart enough to interpret it properly, but the message I just sent may be different from the one I really wanted to send. The character input method of this mobile phone is the same as the widely used one, for example, use the "1" button to input the hiragana of the "A" line. "1" stands for "a", "11" stands for "i", and so on, "11111" stands for "o". Hiragana loops, that is, "111111" also becomes "a". The "ka" line uses "2", the "sa" line uses "3", ..., and the behavior when the same button is pressed in succession is the same as in the example of "1".
However, this character input method has some annoying behavior. If you do not operate for a while after pressing the number button, the conversion to hiragana will be forced. In other words, if you press "1" three times in a row, it will become "U", but if you press "1" three times after a while, it will become "Ah". To give another example, when you press "111111", the character string entered depends on the interval between the presses, which can be either "a" or "ah ah ah". "111111111111" may be "yes", "yeah ah", or twelve "a". Note that even if you press a different number button, it will be converted to hiragana, so "12345" can only be the character string "Akasatana".
Well, I didn't mean to press the wrong button because I typed it carefully, but I'm not confident that I could press the buttons at the right intervals. It's very possible that you've sent something different than the message you really wanted to send. Now, how many strings may have been sent? Oh, this might be a good way to kill time until a friend comes to help. They will come to help within 5 hours at the latest. I hope it can be solved by then.
Input
The input consists of multiple cases.
Each case is given in the following format.
string
The end of the input is given by the line where the input consists of "#"
string contains up to 100,000 numbers between 0 and 9.
No more than 50 inputs have a string length greater than 10,000.
The test case file size is guaranteed to be 5MB or less.
Also, the number of test cases does not exceed 100.
The characters that can be entered with each number key are as shown in the table below.
Numbers | Enterable characters
--- | ---
1 | Aiueo
2 | Kakikukeko
3 |
4 |
5 | What is it?
6 | Hahifuheho
7 | Mamimumemo
8 | Yayuyo
9 | Larry Lero
0 | Won
Output
Divide how to interpret the sentence by 1000000007 and output the remainder on one line.
Examples
Input
1
11
111111
111111111111
12345
11111111119999999999
11111111113333333333
11111111118888888888
11111111112222222222111111111
11111111110000000000444444444
11224111122411
888888888888999999999999888888888888999999999999999999
666666666666666777333333333338888888888
1111114444441111111444499999931111111222222222222888111111115555
#
Output
1
2
32
1856
1
230400
230400
156480
56217600
38181120
128
26681431
61684293
40046720
Input
1
11
111111
111111111111
12345
11111111119999999999
11111111113333333333
11111111118888888888
11111111112222222222111111111
11111111110000000000444444444
11224111122411
888888888888999999999999888888888888999999999999999999
666666666666666777333333333338888888888
1111114444441111111444499999931111111222222222222888111111115555
Output
1
2
32
1856
1
230400
230400
156480
56217600
38181120
128
26681431
61684293
40046720
|
[
{
"input": {
"stdin": "1\n11\n111111\n111111111111\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n2\n32\n1856\n1\n230400\n230400\n156480\n56217600\n38181120\n128\n26681431\n61684293\n40046720"
}
},
{
"input": {
"stdin": "1\n11\n111111\n111111111111\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555\n#"
},
"output": {
"stdout": "1\n2\n32\n1856\n1\n230400\n230400\n156480\n56217600\n38181120\n128\n26681431\n61684293\n40046720"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111101111001\n12345\n11111111119999999999\n295807342028343174\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1625993763185064706278224250158416823903967793105538386\n2091230368817172558557830156572072462967\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n128\n1\n230400\n1\n156480\n56217600\n4\n1\n16\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n000111\n111110111111\n108437\n3693575358040876630\n414516312847171197\n1884806675748980367\n12331115218574701644384648788\n1903530390959728707511106449\n676856163123\n488926832717977097459119880662162353441276943294411363\n1839849960029422657410733490658546387\n3151386478575053671208637231481571714623976816268978079887965207\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n2\n2\n4\n32\n8\n1\n256\n16\n2\n1\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111111111011\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1030375107898524474610677163243241927140952879499325349\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n488\n1\n230400\n230400\n156480\n56217600\n4\n1\n8\n61684293\n40046720\n"
}
},
{
"input": {
"stdin": "1\n3\n011111\n111101111110\n42045\n6952656739917437915\n266894029454025128\n4735627847551600804\n1399649342588183408248556346\n5649260670438575489794749015\n1334522939035\n7221917297895718032010535487211507151198558448986351828\n326669560810381414389413145586994432808\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n256\n1\n2\n2\n4\n8\n1\n4\n32\n32\n40046720\n"
}
},
{
"input": {
"stdin": "1\n8\n010111\n111110111111\n46425\n2082081390155339587\n508163289846232077\n2252305437777774589\n11111111112222222222111111111\n11111111110000000000444444444\n23558686553719\n888888888888999999999999888888888888999999999999999999\n68028242333231762151269654651440548960\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n4\n512\n1\n4\n2\n64\n56217600\n38181120\n4\n26681431\n8\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n2\n000111\n111110111111\n108437\n3693575358040876630\n414516312847171197\n1884806675748980367\n12331115218574701644384648788\n1903530390959728707511106449\n677978481403\n488926832717977097459119880662162353441276943294411363\n2140595667059399934707426693425345205\n2478985591377181869355864289891730093821592957364872539956810174\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n2\n2\n4\n32\n8\n2\n256\n16\n32\n1\n"
}
},
{
"input": {
"stdin": "1\n1\n011100\n111101111110\n21954\n35473798946051572044\n42860629964736229\n4735627847551600804\n282804898375045407922826284\n8001712831958251688328249472\n2640284343305\n8107123611589272619056856432068673603009238964127183237\n258608253664725702817485158016110398629\n51862827981023413088582335874196505002390964436853192101897181"
},
"output": {
"stdout": "1\n1\n8\n256\n1\n2\n4\n4\n2\n4\n2\n4\n4\n16\n"
}
},
{
"input": {
"stdin": "1\n0\n000111\n111110111111\n83269\n2082081390155339587\n409770688716491900\n1114165033043713134\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n11869936288143318532116980992525344133\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n8\n8\n1\n2\n1\n26681431\n256\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111101111011\n12345\n11111111119999999999\n20375308333600311519\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1625993763185064706278224250158416823903967793105538386\n1124480807701230965627908613619050207740\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n128\n1\n230400\n16\n156480\n56217600\n4\n1\n16\n16\n40046720\n"
}
},
{
"input": {
"stdin": "1\n18\n000111\n111110111111\n83269\n2082081390155339587\n508163289846232077\n2252305437777774589\n17363068734607676753167101794\n4622900044029583954667056289\n3609385597463\n888888888888999999999999888888888888999999999999999999\n11869936288143318532116980992525344133\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n2\n64\n1\n32\n2\n26681431\n256\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n20207\n11970880636739921881\n266894029454025128\n4637600493117001375\n11111111112222222222111111111\n23421488684577499444974252577\n7532222623220\n3703074431292557813333642939710652950844536766421120744\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n1\n16\n2\n8\n56217600\n64\n16\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n000111\n111110111111\n83269\n2082081390155339587\n403503222479767222\n1114165033043713134\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n11869936288143318532116980992525344133\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n16\n8\n1\n2\n1\n26681431\n256\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n0\n000111\n111110111111\n83269\n2082081390155339587\n403503222479767222\n1114165033043713134\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n18522429265978147579831327534329295957\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n16\n8\n1\n2\n1\n26681431\n2\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n3\n110011\n111110111111\n108437\n3693575358040876630\n402088333442133348\n1884806675748980367\n12331115218574701644384648788\n1903530390959728707511106449\n177222198285\n488926832717977097459119880662162353441276943294411363\n1839849960029422657410733490658546387\n3151386478575053671208637231481571714623976816268978079887965207\n$"
},
"output": {
"stdout": "1\n1\n8\n512\n1\n2\n64\n4\n32\n8\n8\n256\n16\n2\n1\n"
}
},
{
"input": {
"stdin": "1\n8\n010111\n111111111111\n12345\n2082081390155339587\n508163289846232077\n2252305437777774589\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n174082678979333521940838600643455275958\n750632341561429135641866689687570278789648442230191042520769397\n#"
},
"output": {
"stdout": "1\n1\n4\n1856\n1\n4\n2\n64\n56217600\n38181120\n128\n26681431\n16\n16\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111101111001\n12345\n11970880636739921881\n295807342028343174\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1625993763185064706278224250158416823903967793105538386\n2091230368817172558557830156572072462967\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n128\n1\n16\n1\n156480\n56217600\n4\n1\n16\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n111111\n111111111111\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1030375107898524474610677163243241927140952879499325349\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n32\n1856\n1\n230400\n230400\n156480\n56217600\n4\n1\n8\n61684293\n40046720\n"
}
},
{
"input": {
"stdin": "1\n1\n000111\n111110111111\n108437\n4059587419613946431\n414516312847171197\n1114165033043713134\n12331115218574701644384648788\n2769629445823856282860645890\n9551273940180\n888888888888999999999999888888888888999999999999999999\n18522429265978147579831327534329295957\n1388361294272115239142431733621851119859434264696068155945912150\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n1\n2\n8\n32\n2\n2\n26681431\n2\n64\n1\n"
}
},
{
"input": {
"stdin": "1\n1\n000111\n111110111111\n108437\n4059587419613946431\n414516312847171197\n1114165033043713134\n12331115218574701644384648788\n1903530390959728707511106449\n9551273940180\n888888888888999999999999888888888888999999999999999999\n2140595667059399934707426693425345205\n1388361294272115239142431733621851119859434264696068155945912150\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n1\n2\n8\n32\n8\n2\n26681431\n16\n64\n1\n"
}
},
{
"input": {
"stdin": "1\n8\n111111\n111111111111\n12345\n1126766231229495266\n11111111113333333333\n2252305437777774589\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n174082678979333521940838600643455275958\n750632341561429135641866689687570278789648442230191042520769397\n#"
},
"output": {
"stdout": "1\n1\n32\n1856\n1\n16\n230400\n64\n56217600\n38181120\n128\n26681431\n16\n16\n"
}
},
{
"input": {
"stdin": "1\n1\n000111\n111110111111\n91837\n2082081390155339587\n414516312847171197\n1114165033043713134\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n18522429265978147579831327534329295957\n1388361294272115239142431733621851119859434264696068155945912150\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n2\n8\n1\n2\n1\n26681431\n2\n64\n1\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111111111011\n12345\n11111111119999999999\n20375308333600311519\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1625993763185064706278224250158416823903967793105538386\n1124480807701230965627908613619050207740\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n488\n1\n230400\n16\n156480\n56217600\n4\n1\n16\n16\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111111111011\n12345\n11111111119999999999\n20375308333600311519\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n848926888084963669595394549295970011972235096270822011\n1124480807701230965627908613619050207740\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n488\n1\n230400\n16\n156480\n56217600\n4\n1\n256\n16\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111101011001\n12345\n11970880636739921881\n295807342028343174\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1625993763185064706278224250158416823903967793105538386\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n1\n16\n1\n156480\n56217600\n4\n1\n16\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n100111\n111110111111\n108437\n3693575358040876630\n402088333442133348\n1884806675748980367\n12331115218574701644384648788\n1903530390959728707511106449\n676856163123\n488926832717977097459119880662162353441276943294411363\n1839849960029422657410733490658546387\n3151386478575053671208637231481571714623976816268978079887965207\n$"
},
"output": {
"stdout": "1\n1\n8\n512\n1\n2\n64\n4\n32\n8\n1\n256\n16\n2\n1\n"
}
},
{
"input": {
"stdin": "1\n18\n000111\n111110111111\n83269\n2082081390155339587\n508163289846232077\n2252305437777774589\n17363068734607676753167101794\n4622900044029583954667056289\n3186259030891\n888888888888999999999999888888888888999999999999999999\n11869936288143318532116980992525344133\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n2\n64\n1\n32\n1\n26681431\n256\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n8\n010111\n111110111111\n12345\n2082081390155339587\n508163289846232077\n2252305437777774589\n11111111112222222222111111111\n11111111110000000000444444444\n23558686553719\n888888888888999999999999888888888888999999999999999999\n68028242333231762151269654651440548960\n750632341561429135641866689687570278789648442230191042520769397\n#"
},
"output": {
"stdout": "1\n1\n4\n512\n1\n4\n2\n64\n56217600\n38181120\n4\n26681431\n8\n16\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111111111011\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n848926888084963669595394549295970011972235096270822011\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n488\n1\n230400\n230400\n156480\n56217600\n4\n1\n256\n61684293\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n011111\n111101111100\n42045\n6952656739917437915\n266894029454025128\n4735627847551600804\n887200857036134614889170572\n22762598960615242165242095500\n1334522939035\n7221917297895718032010535487211507151198558448986351828\n326669560810381414389413145586994432808\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n256\n1\n2\n2\n4\n8\n8\n4\n32\n32\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n000111\n111110111111\n83269\n2082081390155339587\n414516312847171197\n1114165033043713134\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n18522429265978147579831327534329295957\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n2\n8\n1\n2\n1\n26681431\n2\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n3\n011111\n111101111110\n21954\n6952656739917437915\n266894029454025128\n4735627847551600804\n1399649342588183408248556346\n8001712831958251688328249472\n2640284343305\n7221917297895718032010535487211507151198558448986351828\n258608253664725702817485158016110398629\n661212644841165485164516350771929588524700284041050143610790662"
},
"output": {
"stdout": "1\n1\n16\n256\n1\n2\n2\n4\n8\n4\n2\n32\n4\n128\n"
}
},
{
"input": {
"stdin": "1\n1\n000111\n111110111111\n91837\n4059587419613946431\n414516312847171197\n1114165033043713134\n12331115218574701644384648788\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n18522429265978147579831327534329295957\n1388361294272115239142431733621851119859434264696068155945912150\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n1\n2\n8\n32\n2\n1\n26681431\n2\n64\n1\n"
}
},
{
"input": {
"stdin": "1\n0\n111111\n111111111111\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n888888888888999999999999888888888888999999999999999999\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n32\n1856\n1\n230400\n230400\n156480\n56217600\n4\n1\n26681431\n61684293\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n011111\n111101111100\n42045\n6952656739917437915\n266894029454025128\n4735627847551600804\n887200857036134614889170572\n15188531121805387732958708243\n1334522939035\n3703074431292557813333642939710652950844536766421120744\n1039821616159787068545339938154303906692\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n256\n1\n2\n2\n4\n8\n8\n4\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n20207\n11970880636739921881\n266894029454025128\n4637600493117001375\n11111111112222222222111111111\n15188531121805387732958708243\n1334522939035\n3703074431292557813333642939710652950844536766421120744\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n1\n16\n2\n8\n56217600\n8\n4\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n8\n111111\n111111111111\n12345\n1126766231229495266\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n174082678979333521940838600643455275958\n1111114444441111111444499999931111111222222222222888111111115555\n#"
},
"output": {
"stdout": "1\n1\n32\n1856\n1\n16\n230400\n156480\n56217600\n38181120\n128\n26681431\n16\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n011111\n111101010000\n20207\n11970880636739921881\n266894029454025128\n4637600493117001375\n690421661373110420053512416\n15188531121805387732958708243\n1334522939035\n3703074431292557813333642939710652950844536766421120744\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n64\n1\n16\n2\n8\n8\n8\n4\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n111011\n111110111111\n108437\n3693575358040876630\n402088333442133348\n2001181181738507755\n13127776851931604655145220314\n1903530390959728707511106449\n177222198285\n488926832717977097459119880662162353441276943294411363\n1839849960029422657410733490658546387\n3151386478575053671208637231481571714623976816268978079887965207\n$"
},
"output": {
"stdout": "1\n1\n8\n512\n1\n2\n64\n32\n16\n8\n8\n256\n16\n2\n1\n"
}
},
{
"input": {
"stdin": "1\n8\n010111\n111110111111\n46425\n2082081390155339587\n508163289846232077\n2252305437777774589\n11111111112222222222111111111\n11111111110000000000444444444\n3186259030891\n888888888888999999999999888888888888999999999999999999\n8572341621770372497777054597253700164\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n4\n512\n1\n4\n2\n64\n56217600\n38181120\n1\n26681431\n32\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n11\n111111\n111111111111\n12345\n1126766231229495266\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n11111111110000000000444444444\n11224111122411\n888888888888999999999999888888888888999999999999999999\n174082678979333521940838600643455275958\n1111114444441111111444499999931111111222222222222888111111115555\n#"
},
"output": {
"stdout": "1\n2\n32\n1856\n1\n16\n230400\n156480\n56217600\n38181120\n128\n26681431\n16\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n011111\n111101011100\n42045\n6952656739917437915\n266894029454025128\n4735627847551600804\n887200857036134614889170572\n15188531121805387732958708243\n1334522939035\n3703074431292557813333642939710652950844536766421120744\n1039821616159787068545339938154303906692\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n64\n1\n2\n2\n4\n8\n8\n4\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n000111\n111110111111\n83269\n2082081390155339587\n409770688716491900\n2252305437777774589\n17363068734607676753167101794\n2769629445823856282860645890\n6728497029251\n888888888888999999999999888888888888999999999999999999\n11869936288143318532116980992525344133\n750632341561429135641866689687570278789648442230191042520769397\n$"
},
"output": {
"stdout": "1\n1\n16\n512\n1\n4\n8\n64\n1\n2\n1\n26681431\n256\n16\n1\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n17559\n11970880636739921881\n581106536128072104\n4637600493117001375\n11111111112222222222111111111\n23421488684577499444974252577\n7532222623220\n2065798105576994175841531235324158859441514586729807081\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n2\n16\n2\n8\n56217600\n64\n16\n16\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n0\n011111\n111111111111\n12345\n11111111119999999999\n11111111113333333333\n11111111118888888888\n11111111112222222222111111111\n15200767546538988910430348787\n6395268301430\n1030375107898524474610677163243241927140952879499325349\n666666666666666777333333333338888888888\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n1856\n1\n230400\n230400\n156480\n56217600\n4\n1\n8\n61684293\n40046720\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n20207\n11970880636739921881\n266894029454025128\n4637600493117001375\n11111111112222222222111111111\n23421488684577499444974252577\n1334522939035\n3703074431292557813333642939710652950844536766421120744\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n1\n16\n2\n8\n56217600\n64\n4\n512\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n17559\n11970880636739921881\n581106536128072104\n4637600493117001375\n11111111112222222222111111111\n23421488684577499444974252577\n6395268301430\n2065798105576994175841531235324158859441514586729807081\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n2\n16\n2\n8\n56217600\n64\n1\n16\n8\n40046720\n"
}
},
{
"input": {
"stdin": "1\n2\n100111\n111110111111\n108437\n3693575358040876630\n270455580044227928\n1884806675748980367\n12331115218574701644384648788\n1903530390959728707511106449\n676856163123\n488926832717977097459119880662162353441276943294411363\n1839849960029422657410733490658546387\n3151386478575053671208637231481571714623976816268978079887965207\n$"
},
"output": {
"stdout": "1\n1\n8\n512\n1\n2\n32\n4\n32\n8\n1\n256\n16\n2\n1\n"
}
},
{
"input": {
"stdin": "1\n1\n011111\n111101011001\n17559\n11970880636739921881\n266894029454025128\n4637600493117001375\n11111111112222222222111111111\n23421488684577499444974252577\n7532222623220\n3703074431292557813333642939710652950844536766421120744\n583132020425151466155763566027274695612\n1111114444441111111444499999931111111222222222222888111111115555"
},
"output": {
"stdout": "1\n1\n16\n32\n2\n16\n2\n8\n56217600\n64\n16\n512\n8\n40046720\n"
}
}
] |
{
"tags": [],
"title": "11224111122411"
}
|
{
"cpp": "#include <cstdio>\n#include <cstdlib>\n#include <cmath>\n#include <climits>\n#include <cfloat>\n#include <map>\n#include <utility>\n#include <set>\n#include <iostream>\n#include <memory>\n#include <string>\n#include <vector>\n#include <algorithm>\n#include <functional>\n#include <sstream>\n#include <complex>\n#include <stack>\n#include <queue>\n#include <cstring>\n#include <sstream>\n#include <cassert>\n#include <list>\n#include <ctime>\n#include <numeric>\nusing namespace std;\nstatic const double EPS = 1e-6;\ntypedef long long ll;\ntypedef unsigned long long ull;\ntypedef pair<int,int> PI;\n#define rep(i,n) for(int i=0;i<(int)(n);++i)\n#define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i)\n#define ALL(c) (c).begin(), (c).end()\n#define mp(a,b) make_pair(a,b)\n#define pb(a) push_back(a)\n#define SZ(a) (int(a.size()))\n#define F first\n#define S second\nconst double pi=acos(-1);\nint dx[]={0,1,0,-1,1,1,-1,-1},dy[]={1,0,-1,0,1,-1,1,-1};\n\nll MOD=100000007;\n\nll dp1[100001][5];\nll dps1[100001];\nll dp2[100001][3];\nll dps2[100001];\n\nint main(){\n string in;\n\n dp1[1][0]=1;\n dp2[1][0]=1;\n for(int i=2;i<=100000;++i){\n rep(j,5)\n dp1[i][0]+=dp1[i-1][j];\n\n rep(j,3)dp2[i][0]+=dp2[i-1][j];\n \n for(int j=1;j<5;++j){\n if(i-j>=0)dp1[i][j]+=dp1[i-j][0];\n }\n\n for(int j=1;j<3;++j){\n if(i-j>=0)dp2[i][j]+=dp2[i-j][0];\n }\n rep(j,5)dp1[i][j]%=MOD;\n rep(j,3)dp2[i][j]%=MOD;\n }\n\n\n\n rep(k,100001){\n int sum=0; \n rep(i,5){\n //cout<<dp1[k][i]<<' ';\n sum+=dp1[k][i];\n }\n if(k>=5)sum+=dps1[k-5];\n //cout<<sum<<endl;\n dps1[k]=sum%MOD;\n\n sum=0;\n rep(i,3)sum+=dp2[k][i];\n if(k>=3)sum+=dps2[k-3];\n dps2[k]=sum%MOD;\n }\n \n while(cin>>in,in!=\"#\"){\n int idx=0;\n ll ans=1;\n while(idx<SZ(in)){\n int num=0;\n while(idx+num<SZ(in) && in[idx]==in[idx+num])++num;\n if(in[idx]!='8' && in[idx]!='0')ans=(ans*dps1[num])%MOD;\n else ans=(ans*dps2[num])%MOD;\n idx+=num;\n }\n cout<<ans<<endl;\n }\n}",
"java": "import java.util.Scanner;\n\npublic class Main {\n\n\tstatic Scanner sc = new Scanner(System.in);\n\tstatic String line;\n\tstatic final int MOD = 100000007;\n\n\tstatic long solve(int len, int loop) {\n\t\tlong ret = 0;\n\t\tlong[] dp = new long[len + 1];\n\t\tdp[0] = 1;\n\t\tfor (int i = 1; i <= len; ++i) {\n\t\t\tfor (int j = 1; j <= Math.min(loop, i); ++j) {\n\t\t\t\tdp[i] += dp[i - j];\n\t\t\t}\n\t\t\tdp[i] %= MOD;\n\t\t\tif ((len - i) % loop == 0) {\n\t\t\t\tret += dp[i];\n\t\t\t\tret %= MOD;\n\t\t\t}\n\t\t}\n\t\treturn ret;\n\t}\n\n\tstatic int solve() {\n\t\tlong ans = 1;\n\t\tint prev = 0;\n\t\tfor (int i = 1; i < line.length(); ++i) {\n\t\t\tif (line.charAt(i) != line.charAt(i - 1)) {\n\t\t\t\tans *= solve(i - prev, loop(line.charAt(prev)));\n\t\t\t\tans %= MOD;\n\t\t\t\tprev = i;\n\t\t\t}\n\t\t}\n\t\tans *= solve(line.length() - prev, loop(line.charAt(prev)));\n\t\tans %= MOD;\n\t\treturn (int) ans;\n\t}\n\n\tstatic int loop(char c) {\n\t\treturn c == '8' || c == '0' ? 3 : 5;\n\t}\n\n\tpublic static void main(String[] args) throws Exception {\n\t\twhile (true) {\n\t\t\tline = sc.next();\n\t\t\tif (line.equals(\"#\")) break;\n\t\t\tSystem.out.println(solve());\n\t\t}\n\t}\n}",
"python": "def f3(n):\n a=b=c=0\n for _ in range(n):\n a,b,c=(a+b+c+1)%100000007,a,b\n return a\n \ndef f5(n):\n a=b=c=d=e=0\n for _ in range(n):\n a,b,c,d,e=(a+b+c+d+e+1)%100000007,a,b,c,d\n return a\n\nwhile 1:\n s=input()\n if s==\"#\":break\n ans=1\n num=\"_\"\n cnt=1\n for n in s+\"_\":\n if n==num:\n cnt+=1\n else:\n if num in \"80\":\n ans=ans*f3(cnt)%100000007\n else:\n ans=ans*f5(cnt)%100000007\n num=n\n cnt=1\n print(ans)\n"
}
|
|
|
# Super Star
During a voyage of the starship Hakodate-maru (see Problem A), researchers found strange synchronized movements of stars. Having heard these observations, Dr. Extreme proposed a theory of "super stars". Do not take this term as a description of actors or singers. It is a revolutionary theory in astronomy.
According to this theory, stars we are observing are not independent objects, but only small portions of larger objects called super stars. A super star is filled with invisible (or transparent) material, and only a number of points inside or on its surface shine. These points are observed as stars by us.
In order to verify this theory, Dr. Extreme wants to build motion equations of super stars and to compare the solutions of these equations with observed movements of stars. As the first step, he assumes that a super star is sphere-shaped, and has the smallest possible radius such that the sphere contains all given stars in or on it. This assumption makes it possible to estimate the volume of a super star, and thus its mass (the density of the invisible material is known).
You are asked to help Dr. Extreme by writing a program which, given the locations of a number of stars, finds the smallest sphere containing all of them in or on it. In this computation, you should ignore the sizes of stars. In other words, a star should be regarded as a point. You may assume the universe is a Euclidean space.
Input
The input consists of multiple data sets. Each data set is given in the following format.
n
x1 y1 z1
x2 y2 z2
...
xn yn zn
The first line of a data set contains an integer n, which is the number of points. It satisfies the condition 4 ≤ n ≤ 30.
The locations of n points are given by three-dimensional orthogonal coordinates: (xi, yi, zi) (i = 1,..., n). Three coordinates of a point appear in a line, separated by a space character.
Each value is given by a decimal fraction, and is between 0.0 and 100.0 (both ends inclusive). Points are at least 0.01 distant from each other.
The end of the input is indicated by a line containing a zero.
Output
For each data set, the radius ofthe smallest sphere containing all given points should be printed, each in a separate line. The printed values should have 5 digits after the decimal point. They may not have an error greater than 0.00001.
Example
Input
4
10.00000 10.00000 10.00000
20.00000 10.00000 10.00000
20.00000 20.00000 10.00000
10.00000 20.00000 10.00000
4
10.00000 10.00000 10.00000
10.00000 50.00000 50.00000
50.00000 10.00000 50.00000
50.00000 50.00000 10.00000
0
Output
7.07107
34.64102
|
[
{
"input": {
"stdin": "4\n10.00000 10.00000 10.00000\n20.00000 10.00000 10.00000\n20.00000 20.00000 10.00000\n10.00000 20.00000 10.00000\n4\n10.00000 10.00000 10.00000\n10.00000 50.00000 50.00000\n50.00000 10.00000 50.00000\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.07107\n34.64102"
}
},
{
"input": {
"stdin": "4\n10.431258066320945 10.00000 10.963374203026609\n21.297630146026126 10.00000 10.00000\n20.00000 20.997700286656844 10.00000\n11.414338431837134 20.00000 10.00000\n4\n11.03531062521475 12.469639655902677 10.968703737628516\n10.00000 51.12714506944212 50.70404839090845\n50.76544467856901 10.00000 50.40092916345667\n50.00000 50.661757985681 10.00000\n0"
},
"output": {
"stdout": "7.355037\n34.569669\n"
}
},
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"stdin": "4\n10.431258066320945 10.00000 10.963374203026609\n21.297630146026126 10.00000 10.00000\n20.00000 20.997700286656844 10.00000\n11.414338431837134 20.00000 10.00000\n4\n11.74375091648736 13.49982412034044 10.968703737628516\n10.00000 51.12714506944212 51.48714854363148\n50.76544467856901 10.00000 50.40092916345667\n50.00000 50.00000 11.084727013314849\n0"
},
"output": {
"stdout": "7.355037\n34.219346\n"
}
},
{
"input": {
"stdin": "4\n10.00000 10.00000 10.988591280986778\n20.00000 10.00000 10.00000\n20.00000 20.00000 10.844171452602488\n10.00000 20.00000 10.00000\n4\n10.699117333378593 10.063097698119668 10.00000\n10.00000 50.00000 50.70404839090845\n50.76544467856901 10.00000 50.00000\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.086083\n34.749027\n"
}
},
{
"input": {
"stdin": "4\n10.00000 10.00000 10.00000\n20.00000 10.00000 10.00000\n20.00000 20.733652859881403 10.00000\n10.765020242534593 20.00000 10.00000\n4\n11.03531062521475 12.469639655902677 10.00000\n10.00000 51.12714506944212 50.70404839090845\n50.76544467856901 10.00000 50.303499161049125\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.335041\n34.599218\n"
}
},
{
"input": {
"stdin": "4\n10.00000 10.00000 10.00000\n20.00000 10.00000 10.00000\n20.00000 20.733652859881403 10.00000\n10.765020242534593 20.00000 10.00000\n4\n11.03531062521475 11.745724543314703 10.00000\n10.00000 51.12714506944212 50.70404839090845\n50.76544467856901 10.00000 50.303499161049125\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.335041\n34.690045\n"
}
},
{
"input": {
"stdin": "4\n10.68727478552201 10.00000 10.00000\n20.00000 10.00000 10.00000\n20.00000 20.733652859881403 10.00000\n10.765020242534593 20.00000 10.00000\n4\n11.03531062521475 12.469639655902677 10.00000\n10.00000 51.12714506944212 50.70404839090845\n50.76544467856901 10.00000 50.303499161049125\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.105247\n34.599218\n"
}
},
{
"input": {
"stdin": "4\n10.00000 10.00000 10.00000\n20.00000 10.00000 10.00000\n20.00000 21.493569417375557 10.00000\n10.00000 20.00000 10.00000\n4\n11.03531062521475 10.879748232123 10.00000\n10.091869157642554 50.71023844636662 50.70404839090845\n50.76544467856901 10.00000 50.00000\n50.00000 50.00000 10.00000\n0"
},
"output": {
"stdout": "7.617449\n34.682883\n"
}
}
] |
{
"tags": [],
"title": "Super Star"
}
|
{
"cpp": "#include<cassert>\n#include<cstdio>\n#include<iostream>\n#include<vector>\n#include<cmath>\n#include<algorithm>\nusing namespace std;\n#define REP(i,b,n) for(int i=b;i<n;i++)\n#define rep(i,n) REP(i,0,n)\n\nconst double eps = 1e-10;\n\nclass Point{\npublic:\n double x,y,z;\n double dist(){\n return sqrt(x*x+y*y+z*z);\n }\n Point operator+(Point a)const{\n return (Point){x+a.x,y+a.y,z+a.z};\n }\n Point operator-(Point a)const{\n return (Point){x-a.x,y-a.y,z-a.z};\n }\n Point operator*(double a)const{\n return (Point){a*x,a*y,a*z};\n }\n Point operator/(double a)const{\n return (Point){x/a,y/a,z/a};\n };\n};\n\n//Lib\ndouble dot(Point A,Point B){\n return A.x*B.x + A.y*B.y + A.z*B.z;\n}\n\n//Lib\nPoint CircumCenter(Point A,Point B,Point C){\n Point ret;\n double a=(B-C).dist(),b=(C-A).dist(),c=(A-B).dist();\n double cosA=dot(B-A,C-A)/(b*c);\n double s=(c-b*cosA)/(2*c*(1-cosA*cosA));\n double t=(b-c*cosA)/(2*b*(1-cosA*cosA));\n ret=(B-A)*s+(C-A)*t+A;\n return ret;\n}\n\n//Lib\nPoint normal_vector(Point a,Point b){\n Point ret =(Point){a.y*b.z-a.z*b.y,a.z*b.x-a.x*b.z,a.x*b.y-a.y*b.x};\n double len=ret.dist();\n ret=ret/len;\n return ret;\n}\n\ndouble isp(Point a,Point b,Point c){\n return (a-c).dist()+(b-c).dist() < (a-b).dist() + eps;\n}\n\nbool is_contain_all(Point a,double r,vector<Point> &in){\n rep(i,in.size()){\n if ((in[i]-a).dist() <r+eps);\n else return false;\n }\n return true;\n}\n\ndouble solve(Point cir,Point norm,vector<Point> &in,Point check,\n\t double d,double f){//d=(A+B)/2).dist(),f=(cir-(A+B)/2)/dist()\n double l = 0,r=40;\n double mid,ret=1e6;\n // while(r-l >eps){\n rep(i,100){\n double mid = (l+r)/2;\n Point vec = cir+norm*mid;\n double radius = (vec-check).dist();\n if (isnan(radius))exit(1);\n if (is_contain_all(vec,radius,in))r=mid-eps,ret=min(ret,radius);\n else l=mid+eps;\n }\n return ret;\n}\n\ndouble solve_online(Point a,Point b,vector<Point> &in){\n Point mid = (a+b)/2;\n double radius=(mid-a).dist();\n if (is_contain_all(mid,radius,in))return radius;\n else return 1e10;\n}\n\nconst int N = 4;\n//n matrix size a00+x0+...=c0\n//k current step\n//mat Matrix\nbool select_pivot(int n,int k,double mat[N][N]){\n int s=k;//selected pivot\n double val=fabs(mat[k][k]);\n REP(i,k+1,n)if (fabs(mat[i][k]) >val)val=fabs(mat[i][k]),s=i;\n\n if ( val<eps)return false;//cannot solve this linear equations.\n REP(i,k,n+1)swap(mat[k][i],mat[s][i]);\n return true;//no problem for this pivot;\n}\n\n\nPoint gauss(int n,double mat[N][N]){\n rep(j,n){\n bool isok=false;\n rep(i,n){\n if (mat[i][j] > eps)isok=true;\n }\n if (!isok)return (Point){-1000,-1000,-1000};\n }\n \n //step1\n rep(k,n){\n if ( select_pivot(n,k,mat)==false)return (Point){-1000,-1000,-1000};\n REP(i,k+1,n+1)mat[k][i]/=mat[k][k];//devided by m[k][k];\n mat[k][k]=1;//for looking the equation\n REP(i,k+1,n){//\n REP(j,k+1,n+1)mat[i][j]+=-mat[i][k]*mat[k][j];\n mat[i][k]=0;//For looking the equation\n }\n }\n //step2\n for(int i=n-1;i>=0;i--){//solve ith row\n REP(j,i+1,n){\n mat[i][n]-=mat[i][j]*mat[j][n];\n }\n }\n /*\n cout <<\"begin\"<<endl;\n rep(i,n){\n rep(j,n+1)cout << mat[i][j] <<\" \" ;\n cout << endl;\n }\n cout << \"end\"<<endl<<endl;\n */\n //return (Point){mat[0][1],mat[1][2],mat[2][3]};\n return (Point){mat[0][3],mat[1][3],mat[2][3]};\n}\n\n\ndouble solve(vector<Point> & in){\n double ret = 1e6;\n double mat[N][N];\n rep(i,in.size()){\n REP(j,i+1,in.size()){\n REP(k,j+1,in.size()){\n\tREP(l,k+1,in.size()){\n\t mat[0][0]=2*(in[j].x-in[i].x);\n\t mat[0][1]=2*(in[j].y-in[i].y);\n\t mat[0][2]=2*(in[j].z-in[i].z);\n\t mat[0][3]=(in[i].x*in[i].x-in[j].x*in[j].x+\n\t\t in[i].y*in[i].y-in[j].y*in[j].y+\n\t\t in[i].z*in[i].z-in[j].z*in[j].z);\n\t mat[1][0]=2*(in[k].x-in[i].x);\n\t mat[1][1]=2*(in[k].y-in[i].y);\n\t mat[1][2]=2*(in[k].z-in[i].z);\n\t mat[1][3]=(in[i].x*in[i].x-in[k].x*in[k].x+\n\t\t in[i].y*in[i].y-in[k].y*in[k].y+\n\t\t in[i].z*in[i].z-in[k].z*in[k].z);\n\t mat[2][0]=2*(in[l].x-in[i].x);\n\t mat[2][1]=2*(in[l].y-in[i].y);\n\t mat[2][2]=2*(in[l].z-in[i].z);\n\t mat[2][3]=(in[i].x*in[i].x-in[l].x*in[l].x+\n\t\t in[i].y*in[i].y-in[l].y*in[l].y+\n\t\t in[i].z*in[i].z-in[l].z*in[l].z);\n\t Point center = gauss(3,mat);\n\t double r[4] ={\n\t (in[i]-center).dist(),\n\t (in[j]-center).dist(),\n\t (in[k]-center).dist(),\n\t (in[l]-center).dist(),\n\t }; \n\t /*\t \n\t cout << (in[i]-center).dist() <<\" \" <<\n\t (in[j]-center).dist() <<\" \" << \n\t (in[k]-center).dist() << \" \" <<\n\t (in[l]-center).dist() << endl;\n\t */\t \t \n\t //cout << center.x <<\" \" << center.y <<\" \" << center.z << endl;\n\t \n\t if (abs(r[0]-r[1])>eps || abs(r[0]-r[2])>eps||\n\t abs(r[0]-r[3])>eps)continue;\n\t if (is_contain_all(center,r[0],in))ret=min(r[0],ret);\n\t}\n }\n }\n }\n\n\n rep(i,in.size()){\n REP(j,i+1,in.size()){\n REP(k,j+1,in.size()){\n\tif (isp(in[i],in[j],in[k])||isp(in[i],in[k],in[j])\n\t ||isp(in[j],in[k],in[i])){\n\t continue;\n\t}\n\tPoint cir = CircumCenter(in[i],in[j],in[k]);\n\tdouble r =(cir-in[i]).dist();\n\t/*\n\tcout << (cir-in[i]).dist() <<\" \" \n\t << (cir-in[j]).dist() <<\" \" \n\t << (cir-in[k]).dist() << endl;\n\t*/\n\tif (is_contain_all(cir,r,in))ret=min(ret,r);\n\t\n\tPoint norm= normal_vector(in[j]-in[i],in[k]-in[i]);\n\tPoint tmp = (in[i]+in[j])/2-in[i];\n\tPoint tmp2= (cir-(in[i]+in[j])/2);\n\tret=min(ret,solve(cir,norm,in,in[i],tmp.dist(),tmp2.dist()));\n\tnorm=norm*-1;\n\tret=min(ret,solve(cir,norm,in,in[i],tmp.dist(),tmp2.dist()));\n\t\n }\n }\n }\n \n rep(i,in.size()){\n REP(j,i+1,in.size()){\n Point center=(in[i]+in[j])/2;\n double r = (center-in[i]).dist();\n if (is_contain_all(center,r,in))ret=min(ret,r);\n }\n }\n\n return ret;\n}\n\nint main(){\n int n;\n while(cin>>n && n){\n vector<Point> in;\n rep(i,n){\n double x,y,z;\n cin>>x>>y>>z;\n in.push_back((Point){x,y,z});\n }\n\n printf(\"%.8lf\\n\",solve(in));\n }\n}",
"java": "import java.util.*;\nimport java.awt.geom.*;\npublic class Main {\n\n\t//SHA KYO\n\tclass P3D {\n\t\tdouble x,y,z;\n\n\t\tpublic P3D(double x, double y, double z) {\n\t\t\tthis.x = x;\n\t\t\tthis.y = y;\n\t\t\tthis.z = z;\n\t\t}\n\t\t\n\t\t\n\t\tpublic double distance(P3D b) {\n\t\t\tdouble x = this.x - b.x;\n\t\t\tdouble y = this.y - b.y;\n\t\t\tdouble z = this.z - b.z;\n\t\t\tdouble dissq = x * x + y * y + z * z;\n\t\t\treturn Math.sqrt(dissq);\n\t\t}\n\t}\n\n\tprivate void doit(){\n\t\tScanner sc = new Scanner(System.in);\n\t\twhile(true){\n\t\t\tint n = sc.nextInt();\n\t\t\tif(n == 0 ) break;\n\t\t\tP3D [] plist = new P3D[n];\n\t\t\tfor(int i = 0; i < n; i++){\n\t\t\t\tdouble x = sc.nextDouble();\n\t\t\t\tdouble y = sc.nextDouble();\n\t\t\t\tdouble z = sc.nextDouble();\n\t\t\t\tplist[i] = new P3D(x, y, z);\n\t\t\t}\n\t\t\tP3D startP = new P3D(50, 50, 50);\n\t\t\tdouble mindis = 1 << 24;\n\t\t\tdouble move = 0.5;\n\t\t\tdouble mostdis = -1;\n\t\t\twhile(move > 1.0e-10){\n\t\t\t\tfor(int i = 0; i < 1000; i++){\n\t\t\t\t\tmostdis = -1;\n\t\t\t\t\tmindis = 1 << 24;\n\t\t\t\t\tint mostdisId = -1;\n\t\t\t\t\tfor(int j = 0; j < n; j++){\n\t\t\t\t\t\tdouble nowdis = startP.distance(plist[j]);\n\t\t\t\t\t\tmindis = Math.min(mindis, nowdis);\n\t\t\t\t\t\tif(mostdis < nowdis){\n\t\t\t\t\t\t\tmostdis = nowdis;\n\t\t\t\t\t\t\tmostdisId = j;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tP3D mostdisP = plist[mostdisId];\n\t\t\t\t\tdouble movex = (mostdisP.x - startP.x) * move;\n\t\t\t\t\tdouble movey = (mostdisP.y - startP.y) * move;\n\t\t\t\t\tdouble movez = (mostdisP.z - startP.z) * move;\n\t\t\t\t\tstartP.x = startP.x + movex;\n\t\t\t\t\tstartP.y = startP.y + movey;\n\t\t\t\t\tstartP.z = startP.z + movez;\n\t\t\t\t}\n\t\t\t\tmove = move / 2;\n\t\t\t}\n\t\t\tSystem.out.printf(\"%.5f\\n\",mostdis);\n\t\t}\n\t}\n\t\n\tpublic static void main(String[] args) {\n\t\tMain obj = new Main();\n\t\tobj.doit();\n\t}\n}",
"python": "while True:\n n = int(input())\n if not n:\n break\n\n star = [list(map(float, input().split())) for i in range(n)]\n start = [0.0, 0.0, 0.0]\n move = 0.5\n\n\n for _ in range(500):\n for j in range(100):\n tmpmax = 0\n a = 0\n for i in range(n):\n k = (star[i][0] - start[0]) ** 2 + (star[i][1] - start[1]) ** 2 + (star[i][2] - start[2]) ** 2\n if tmpmax < k:\n tmpmax = k\n a = i\n start = [start[i] - (start[i] - star[a][i]) * move for i in range(3)]\n move /= 2\n\n tmpmax = 0\n for i in range(n):\n k = (star[i][0] - start[0]) ** 2 + (star[i][1] - start[1]) ** 2 + (star[i][2] - start[2]) ** 2\n if tmpmax < k:\n tmpmax = k\n\n print(round(tmpmax ** 0.5, 5))\n\n"
}
|
|
|
# Do Geese See God?
Example
Input
crc
1
Output
crc
|
[
{
"input": {
"stdin": "crc\n1"
},
"output": {
"stdout": "crc"
}
},
{
"input": {
"stdin": "epd\n0"
},
"output": {
"stdout": "deped\n"
}
},
{
"input": {
"stdin": "hfq\n1"
},
"output": {
"stdout": "hfqfh\n"
}
},
{
"input": {
"stdin": "brd\n1"
},
"output": {
"stdout": "bdrdb\n"
}
},
{
"input": {
"stdin": "qbd\n1"
},
"output": {
"stdout": "dbqbd\n"
}
},
{
"input": {
"stdin": "feo\n1"
},
"output": {
"stdout": "feoef\n"
}
},
{
"input": {
"stdin": "qce\n4"
},
"output": {
"stdout": "qeceq\n"
}
},
{
"input": {
"stdin": "cdq\n2"
},
"output": {
"stdout": "cqdqc\n"
}
},
{
"input": {
"stdin": "eqh\n-2"
},
"output": {
"stdout": "ehqhe\n"
}
},
{
"input": {
"stdin": "bqc\n1"
},
"output": {
"stdout": "bcqcb\n"
}
},
{
"input": {
"stdin": "dcp\n0"
},
"output": {
"stdout": "dcpcd\n"
}
},
{
"input": {
"stdin": "oed\n1"
},
"output": {
"stdout": "deoed\n"
}
},
{
"input": {
"stdin": "pbf\n0"
},
"output": {
"stdout": "fbpbf\n"
}
},
{
"input": {
"stdin": "ffp\n0"
},
"output": {
"stdout": "pffp\n"
}
},
{
"input": {
"stdin": "aqc\n-1"
},
"output": {
"stdout": "acqca\n"
}
},
{
"input": {
"stdin": "pdf\n4"
},
"output": {
"stdout": "pfdfp\n"
}
},
{
"input": {
"stdin": "sdc\n1"
},
"output": {
"stdout": "cdsdc\n"
}
},
{
"input": {
"stdin": "pce\n3"
},
"output": {
"stdout": "pcecp\n"
}
},
{
"input": {
"stdin": "ccq\n2"
},
"output": {
"stdout": "NONE\n"
}
},
{
"input": {
"stdin": "bdq\n1"
},
"output": {
"stdout": "bdqdb\n"
}
},
{
"input": {
"stdin": "qcd\n3"
},
"output": {
"stdout": "qcdcq\n"
}
},
{
"input": {
"stdin": "feo\n2"
},
"output": {
"stdout": "foeof\n"
}
},
{
"input": {
"stdin": "eoj\n-2"
},
"output": {
"stdout": "ejoje\n"
}
},
{
"input": {
"stdin": "fni\n-2"
},
"output": {
"stdout": "finif\n"
}
},
{
"input": {
"stdin": "fco\n0"
},
"output": {
"stdout": "fcocf\n"
}
},
{
"input": {
"stdin": "qce\n0"
},
"output": {
"stdout": "ecqce\n"
}
},
{
"input": {
"stdin": "cfp\n1"
},
"output": {
"stdout": "cfpfc\n"
}
},
{
"input": {
"stdin": "gep\n0"
},
"output": {
"stdout": "gepeg\n"
}
},
{
"input": {
"stdin": "crd\n1"
},
"output": {
"stdout": "cdrdc\n"
}
},
{
"input": {
"stdin": "qdf\n1"
},
"output": {
"stdout": "fdqdf\n"
}
},
{
"input": {
"stdin": "gfp\n0"
},
"output": {
"stdout": "gfpfg\n"
}
},
{
"input": {
"stdin": "hfp\n0"
},
"output": {
"stdout": "hfpfh\n"
}
},
{
"input": {
"stdin": "dcq\n0"
},
"output": {
"stdout": "dcqcd\n"
}
},
{
"input": {
"stdin": "fep\n0"
},
"output": {
"stdout": "fepef\n"
}
},
{
"input": {
"stdin": "dfp\n2"
},
"output": {
"stdout": "dpfpd\n"
}
},
{
"input": {
"stdin": "pdf\n2"
},
"output": {
"stdout": "fpdpf\n"
}
},
{
"input": {
"stdin": "qeg\n0"
},
"output": {
"stdout": "geqeg\n"
}
},
{
"input": {
"stdin": "pec\n0"
},
"output": {
"stdout": "cepec\n"
}
},
{
"input": {
"stdin": "qce\n2"
},
"output": {
"stdout": "eqcqe\n"
}
},
{
"input": {
"stdin": "eph\n-2"
},
"output": {
"stdout": "ehphe\n"
}
},
{
"input": {
"stdin": "dcq\n4"
},
"output": {
"stdout": "qdcdq\n"
}
},
{
"input": {
"stdin": "fcp\n1"
},
"output": {
"stdout": "fcpcf\n"
}
},
{
"input": {
"stdin": "gpd\n-1"
},
"output": {
"stdout": "dgpgd\n"
}
},
{
"input": {
"stdin": "fdo\n0"
},
"output": {
"stdout": "fdodf\n"
}
},
{
"input": {
"stdin": "eep\n0"
},
"output": {
"stdout": "peep\n"
}
},
{
"input": {
"stdin": "pce\n4"
},
"output": {
"stdout": "pecep\n"
}
},
{
"input": {
"stdin": "ode\n0"
},
"output": {
"stdout": "edode\n"
}
},
{
"input": {
"stdin": "fcp\n3"
},
"output": {
"stdout": "pcfcp\n"
}
},
{
"input": {
"stdin": "ipf\n0"
},
"output": {
"stdout": "fipif\n"
}
},
{
"input": {
"stdin": "crb\n2"
},
"output": {
"stdout": "brcrb\n"
}
}
] |
{
"tags": [],
"title": "Do Geese See God?"
}
|
{
"cpp": "#include <iostream>\n#include <vector>\n#include <algorithm>\n#include <set>\n#include <map>\n#include <cassert>\n#include <numeric>\n#include <string>\n#include <cstring>\n#include <complex>\n#include <cstdio>\n#include <cstdlib>\nusing namespace std;\n\n#define REP(i, n) for(int i=0;i<(int)n;i++)\n#define REPS(i, n) for(int i=1;i<=(int)n;i++)\n#define RREP(i, n) for(int i=n-1;i>=0;i--)\n#define RREPS(i, n) for(int i=n;i>0;i--)\n#define ALL(v) v.begin(), v.end()\n#define RALL(v) v.rbegin(), v.rend()\n#define pb push_back\n#define eb emplace_back\ntypedef vector<int> vi;\ntypedef long long ll;\ntypedef pair<int, int> pii;\ntypedef pair<ll, ll> pll;\n\nstring s;\nll k;\nstring ans;\nstring ansrev;\n\nll memo[2001][2001];\nll mini[2001][2001];\n\nll minimum(int l, int r){\n\tll &res = mini[l][r];\n\tif(res >= 0) return res;\n\tif(r <= l) return res = 0;\n\tif(l+1 == r) return res = 1;\n\tif(s[l] == s[r-1]) return res = minimum(l+1, r-1) + 2;\n\treturn res = min(minimum(l+1, r), minimum(l, r-1)) + 2;\n}\n\nll count(int l, int r){\n\tll &res = memo[l][r];\n\tif(res >= 0) return res;\n\tif(r <= l) return res = 1;\n\tif(s[l] == s[r-1]) return res = count(l+1, r-1);\n\tll mi = min(minimum(l+1, r), minimum(l, r-1));\n\tres = 0;\n\tif(minimum(l+1, r) == mi) res += count(l+1, r);\n\tif(minimum(l, r-1) == mi) res += count(l, r-1);\n\tif(res > 1e18 + 10) res = 1e18 + 10;\n\treturn res;\n}\n\nvoid dfs(int l, int r, ll k){\n\tif(l == r){\n\t\treverse(ALL(ansrev));\n\t\tif(k) cout << \"NONE\" << endl;\n\t\telse cout << ans << ansrev << endl;\n\t}else if(l+1 == r){\n\t\tans.pb(s[l]);\n\t\tdfs(l+1, r, k);\n\t}else if(s[l] == s[r-1]){\n\t\tans.pb(s[l]);\n\t\tansrev.pb(s[l]);\n\t\tdfs(l+1, r-1, k);\n\t}else{\n\t\tll minl = minimum(l+1, r);\n\t\tll minr = minimum(l, r-1);\n\t\tif(minr < minl){\n\t\t\tans.pb(s[r-1]);\n\t\t\tansrev.pb(s[r-1]);\n\t\t\tdfs(l, r-1, k);\n\t\t}else if(minl < minr){\n\t\t\tans.pb(s[l]);\n\t\t\tansrev.pb(s[l]);\n\t\t\tdfs(l+1, r, k);\n\t\t}else if(s[l] < s[r-1]){ // x[...]y\n\t\t\tll res = count(l+1, r);\n\t\t\tif(k < res){\n\t\t\t\tans.pb(s[l]);\n\t\t\t\tansrev.pb(s[l]);\n\t\t\t\tdfs(l+1, r, k);\n\t\t\t}else{\n\t\t\t\tans.pb(s[r-1]);\n\t\t\t\tansrev.pb(s[r-1]);\n\t\t\t\tdfs(l, r-1, k - res);\n\t\t\t}\n\t\t}else{ // y[...]x\n\t\t\tll res = count(l, r-1);\n\t\t\tif(k < res){\n\t\t\t\tans.pb(s[r-1]);\n\t\t\t\tansrev.pb(s[r-1]);\n\t\t\t\tdfs(l, r-1, k);\n\t\t\t}else{\n\t\t\t\tans.pb(s[l]);\n\t\t\t\tansrev.pb(s[l]);\n\t\t\t\tdfs(l+1, r, k - res);\n\t\t\t}\n\t\t}\n\t}\n}\nint main(){\n\tcin >> s >> k;\n\tmemset(memo, -1, sizeof(memo));\n\tmemset(mini, -1, sizeof(mini));\n\tdfs(0, s.size(), k - 1);\n\treturn 0;\n}",
"java": "import java.util.Scanner;\n\npublic class Main {\n\tstatic Scanner sc = new Scanner(System.in);\n\n\tpublic static void main(String[] args) {\n\t\tchar[] S = sc.next().toCharArray();\n\t\tint N = S.length;\n\t\tlong K = sc.nextLong();\n\t\tint[][] minApp = new int[N + 1][N + 1];\n\t\tfor (int len = 2; len <= N; ++len) {\n\t\t\tfor (int i = 0; i + len <= N; ++i) {\n\t\t\t\tminApp[i][i + len] = Math.min(minApp[i + 1][i + len] + 1, minApp[i][i + len - 1] + 1);\n\t\t\t\tif (S[i] == S[i + len - 1]) minApp[i][i + len] = Math.min(minApp[i][i + len], minApp[i + 1][i + len - 1]);\n\t\t\t}\n\t\t}\n\t\tlong[][] count = new long[N + 1][N + 1];\n\t\tfor (int i = 0; i < N; ++i) {\n\t\t\tcount[i][i] = 1;\n\t\t\tcount[i][i + 1] = 1;\n\t\t}\n\t\tcount[N][N] = 1;\n\t\tfor (int len = 2; len <= N; ++len) {\n\t\t\tfor (int i = 0; i + len <= N; ++i) {\n\t\t\t\tif (S[i] == S[i + len - 1]) {\n\t\t\t\t\tcount[i][i + len] = count[i + 1][i + len - 1];\n\t\t\t\t} else if (minApp[i + 1][i + len] > minApp[i][i + len - 1]) {\n\t\t\t\t\tcount[i][i + len] = count[i][i + len - 1];\n\t\t\t\t} else if (minApp[i + 1][i + len] < minApp[i][i + len - 1]) {\n\t\t\t\t\tcount[i][i + len] = count[i + 1][i + len];\n\t\t\t\t} else {\n\t\t\t\t\tcount[i][i + len] = count[i + 1][i + len] + count[i][i + len - 1];\n\t\t\t\t\tif (count[i][i + len] > K) count[i][i + len] = K + 1;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tStringBuilder ans = new StringBuilder();\n\t\tif (count[0][N] < K) {\n\t\t\tans.append(\"NONE\");\n\t\t} else {\n\t\t\tint left = 0;\n\t\t\tint right = N;\n\t\t\twhile (true) {\n\t\t\t\tif (left == right) {\n\t\t\t\t\tans.append(new StringBuilder(ans).reverse());\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\tif (left + 1 == right) {\n\t\t\t\t\tStringBuilder rev = new StringBuilder(ans).reverse();\n\t\t\t\t\tans.append(S[left]).append(rev);\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\tif (S[left] == S[right - 1]) {\n\t\t\t\t\tans.append(S[left]);\n\t\t\t\t\tleft++;\n\t\t\t\t\tright--;\n\t\t\t\t} else if (minApp[left + 1][right] > minApp[left][right - 1]) {\n\t\t\t\t\tans.append(S[right - 1]);\n\t\t\t\t\tright--;\n\t\t\t\t} else if (minApp[left + 1][right] < minApp[left][right - 1]) {\n\t\t\t\t\tans.append(S[left]);\n\t\t\t\t\tleft++;\n\t\t\t\t} else {\n\t\t\t\t\tif (S[left] < S[right - 1]) {\n\t\t\t\t\t\tif (count[left + 1][right] >= K) {\n\t\t\t\t\t\t\tans.append(S[left]);\n\t\t\t\t\t\t\tleft++;\n\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\tK -= count[left + 1][right];\n\t\t\t\t\t\t\tans.append(S[right - 1]);\n\t\t\t\t\t\t\tright--;\n\t\t\t\t\t\t}\n\t\t\t\t\t} else {\n\t\t\t\t\t\tif (count[left][right - 1] >= K) {\n\t\t\t\t\t\t\tans.append(S[right - 1]);\n\t\t\t\t\t\t\tright--;\n\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\tK -= count[left][right - 1];\n\t\t\t\t\t\t\tans.append(S[left]);\n\t\t\t\t\t\t\tleft++;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(ans.toString());\n\t}\n}",
"python": "from heapq import heappush, heappop\n\ndef solve():\n S = input()\n K = int(input())\n L = len(S)\n INF = 10**9\n cost = [[INF]*(L+1) for i in range(L+1)]\n cost[0][L] = 0\n ss = []\n que = [(0, 0, L)]\n while que:\n d, a, b = heappop(que)\n if cost[a][b] < d:\n continue\n ss.append((a, b))\n if a+1 == b:\n if d+1 < cost[a+1][b]:\n cost[a+1][b] = d + 1\n continue\n if S[a] == S[b-1]:\n if d+2 < cost[a+1][b-1]:\n cost[a+1][b-1] = d + 2\n if a+1 < b-1:\n heappush(que, (d+2, a+1, b-1))\n else:\n if d+2 < cost[a+1][b]:\n cost[a+1][b] = d + 2\n if a+1 < b:\n heappush(que, (d+2, a+1, b))\n if d+2 < cost[a][b-1]:\n cost[a][b-1] = d + 2\n if a < b-1:\n heappush(que, (d+2, a, b-1))\n ln = min(cost[i][i] for i in range(L+1))\n ss.reverse()\n dp = [[0]*(L+1) for i in range(L+1)]\n for i in range(L+1):\n if cost[i][i] == ln:\n dp[i][i] = 1\n for a, b in ss:\n d = cost[a][b]\n r = 0\n if a+1 == b:\n if d+1 == cost[a+1][b]:\n r = dp[a+1][b]\n else:\n if S[a] == S[b-1]:\n if d+2 == cost[a+1][b-1]:\n r = dp[a+1][b-1]\n else:\n if d+2 == cost[a+1][b]:\n r += dp[a+1][b]\n if d+2 == cost[a][b-1]:\n r += dp[a][b-1]\n dp[a][b] = r\n if dp[a][b] < K:\n print(\"NONE\")\n return True\n SL = []; SR = []\n a = 0; b = L\n while a < b:\n if a+1 == b:\n assert cost[a][b]+1 == cost[a+1][b]\n SL.append(S[a])\n a += 1\n continue\n if S[a] == S[b-1]:\n assert cost[a][b]+2 == cost[a+1][b-1]\n SL.append(S[a])\n SR.append(S[b-1])\n a += 1; b -= 1\n elif S[a] < S[b-1]:\n c = (cost[a][b]+2 == cost[a+1][b])\n if c and K <= dp[a+1][b]:\n SL.append(S[a])\n SR.append(S[a])\n a += 1\n else:\n if c:\n K -= dp[a+1][b]\n SL.append(S[b-1])\n SR.append(S[b-1])\n b -= 1\n else:\n c = (cost[a][b]+2 == cost[a][b-1])\n if c and K <= dp[a][b-1]:\n SL.append(S[b-1])\n SR.append(S[b-1])\n b -= 1\n else:\n if c:\n K -= dp[a][b-1]\n SL.append(S[a])\n SR.append(S[a])\n a += 1\n SR.reverse()\n SL.extend(SR)\n print(\"\".join(SL))\nsolve()\n"
}
|
|
|
# Unhappy Class
Problem
Yamano Mifune Gakuen's 1st grade G group is a class where female students carrying misfortune gather. They face various challenges every day with the goal of being happy.
In their class, they can take practical happiness courses as part of the test of happiness.
From Monday to Friday, there are classes from 1st to Nth, and there are M courses that can be taken.
Subject i starts from the ai period of the day of the week di (di = 0, 1, 2, 3, 4 corresponds to Monday, Tuesday, Wednesday, Thursday, and Friday, respectively), and is performed in consecutive ki frames. The degree of happiness obtained when taking the course is ti.
Each student is free to choose up to L subjects so that they do not overlap each other. How do you choose the subject to get the highest level of happiness? Please find the maximum value of happiness that can be obtained from the information of the given subject.
Constraints
* 2 ≤ N ≤ 8
* 0 ≤ M ≤ 300
* 0 ≤ L ≤ min (N × 5, M)
* 0 ≤ di ≤ 4
* 1 ≤ ai ≤ N
* 1 ≤ ki
* ai + ki --1 ≤ N
* 1 ≤ ti ≤ 100
Input
The input is given in the following format.
N M L
d1 a1 k1 t1
d2 a2 k2 t2
...
dM aM kM tM
The first line is given three integers N, M, L separated by blanks.
The four integers di, ai, ki, and ti are given on the 2nd to M + 1th lines, separated by blanks.
Output
Output the maximum value of the sum of happiness on one line.
Examples
Input
3 7 3
0 1 1 1
0 1 1 2
1 1 3 4
1 1 1 1
1 2 1 2
2 1 1 3
2 2 2 1
Output
9
Input
5 10 5
0 1 1 2
0 2 1 2
0 1 2 3
1 2 1 2
1 4 2 3
2 1 1 1
2 1 1 2
3 3 2 3
4 1 1 2
4 2 1 2
Output
13
|
[
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n2 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "9"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 2 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n2 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 3 1 2\n1 4 2 3\n2 1 1 1\n2 2 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 1"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 1\n0 2 1 2\n0 1 3 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 4\n4 1 1 2\n4 0 0 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 2 1\n1 2 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n1 1 1 2\n2 2 2 2"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n1 2 1 2\n0 1 2 3\n1 2 0 2\n0 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 0 2\n2 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n1 2 1 2\n0 1 2 3\n1 2 1 2\n0 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n0 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "4 7 3\n0 1 1 1\n0 1 1 2\n1 1 1 4\n1 1 1 1\n1 3 0 2\n3 1 1 3\n2 2 1 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 2 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 2 1 2\n0 2 1 2\n0 1 2 3\n1 3 1 2\n1 4 2 3\n2 1 1 1\n2 2 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 1"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n1 1 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 0\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 3 1 0\n3 1 2 6\n3 2 2 1"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 0\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 3 1 0\n3 1 2 3\n3 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 0\n1 1 1 4\n1 1 1 1\n1 3 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 1 1 4\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 2"
},
"output": {
"stdout": "17\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 1\n0 2 1 2\n0 1 3 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 4\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 2\n1 1 1 4\n1 1 1 1\n1 3 0 2\n3 1 1 3\n2 2 1 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 3 1 2\n3 2 1 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 1"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 3 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 1\n1 1 1 0\n1 1 3 4\n1 1 2 1\n1 3 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 3\n2 1 2 1\n2 0 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n2 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 4\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 0 2\n4 2 1 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 0 2\n2 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 0 0"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 0\n0 1 1 1\n0 2 1 2\n0 1 3 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 4\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "0\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 1\n1 1 1 0\n1 1 3 4\n1 1 1 1\n1 3 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 2 2 1\n1 1 3 0\n1 1 1 1\n1 3 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 0 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 1\n4 2 1 0\n3 2 1 2"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n0 1 1 1\n2 1 1 2\n3 3 2 1\n4 2 1 0\n4 2 1 2"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n0 1 1 1\n2 2 1 2\n3 3 2 1\n4 2 1 0\n4 2 1 0"
},
"output": {
"stdout": "11\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 4\n0 2 1 2\n0 2 3 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 2 1\n1 2 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n3 1 1 2\n2 2 2 1"
},
"output": {
"stdout": "7\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n2 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 4\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n3 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n1 2 1 2\n0 1 2 3\n1 2 1 2\n0 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 3 1 2\n3 1 2 3\n3 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n2 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 4\n2 1 1 1\n2 1 0 2\n3 3 2 3\n2 1 0 2\n4 2 1 2"
},
"output": {
"stdout": "14\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n1 1 1 2\n1 1 3 4\n1 1 1 1\n1 2 2 2\n2 1 1 3\n2 2 2 1"
},
"output": {
"stdout": "8\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 4\n0 2 1 2\n0 2 2 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 3\n4 1 1 2\n4 2 0 2"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 1 1\n0 1 1 2\n1 1 1 4\n1 1 1 1\n1 3 1 2\n3 1 1 3\n2 2 1 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n1 2 1 2\n0 1 2 3\n1 2 0 2\n1 4 2 3\n2 1 1 1\n2 1 0 2\n3 3 2 3\n4 1 1 2\n4 2 1 2"
},
"output": {
"stdout": "13\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 2"
},
"output": {
"stdout": "15\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 0 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 1\n4 2 1 0\n4 2 1 2"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "5 10 5\n0 1 1 2\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 2\n3 3 2 1\n4 2 1 0\n4 2 1 2"
},
"output": {
"stdout": "12\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 2 1\n1 2 1 2\n1 1 3 4\n1 1 1 1\n1 2 1 2\n1 1 1 2\n2 2 2 1"
},
"output": {
"stdout": "6\n"
}
},
{
"input": {
"stdin": "3 7 3\n0 1 0 1\n0 1 1 2\n1 1 3 4\n1 1 1 1\n1 3 1 2\n3 1 2 3\n2 2 2 1"
},
"output": {
"stdout": "9\n"
}
},
{
"input": {
"stdin": "5 10 7\n0 1 1 4\n0 2 1 2\n0 1 2 3\n1 2 1 2\n1 4 2 3\n2 1 1 1\n2 1 1 1\n3 3 2 2\n4 1 1 2\n2 2 1 1"
},
"output": {
"stdout": "16\n"
}
}
] |
{
"tags": [],
"title": "Unhappy Class"
}
|
{
"cpp": "#include <algorithm>\n#include <cfloat>\n#include <climits>\n#include <cmath>\n#include <complex>\n#include <cstdio>\n#include <cstdlib>\n#include <cstring>\n#include <functional>\n#include <iostream>\n#include <map>\n#include <memory>\n#include <queue>\n#include <set>\n#include <sstream>\n#include <stack>\n#include <string>\n#include <utility>\n#include <vector>\n#include <list>\n\nusing namespace std;\n\ntypedef long long ll;\n\n#define sz size()\n#define pb push_back\n#define mp make_pair\n#define fi first\n#define se second\n#define all(c) (c).begin(), (c).end()\n#define rep(i,a,b) for(ll i=(a);i<(b);++i)\n#define clr(a, b) memset((a), (b) ,sizeof(a))\n#define ctos(d) string(1,d)\n#define print(x) cout<<#x<<\" = \"<<x<<endl;\n\n#define MOD 1000000007\n\nll dp[55][55];\n\nint main() {\n clr(dp,0);\n ll n,m,l;\n cin>>n>>m>>l;\n vector<ll> va;\n vector<ll> vb;\n vector<ll> vc;\n rep(i,0,m){\n ll a,b,c,d;\n cin>>a>>b>>c>>d;\n va.pb(a*(n+1)+b);\n vb.pb(c-1);\n vc.pb(d);\n }\n rep(i,1,53){\n rep(j,0,53){\n rep(k,0,va.sz){\n if(i==va[k]){\n dp[i+vb[k]][j+1] = max(dp[i+vb[k]][j+1],dp[i-1][j]+vc[k]);\n }\n }\n dp[i][j] = max(dp[i][j],dp[i-1][j]);\n }\n }\n ll mx = 0;\n rep(i,0,53){\n rep(j,0,l+1){\n mx = max(mx,dp[i][j]);\n }\n }\n\n cout << mx << endl;\n return 0;\n}",
"java": "import java.util.*;\npublic class Main{\n Scanner cin = new Scanner(System.in);\n int N,M,L;\n int[] d,a,k,t;\n int[][][] dp;\n public void solve(){\n N = cin.nextInt();\n M = cin.nextInt();\n L = cin.nextInt();\n\n d = new int[M];\n a = new int[M];\n k = new int[M];\n t = new int[M];\n\n for(int i = 0;i < M;i++){\n d[i] = cin.nextInt();\n a[i] = cin.nextInt();\n k[i] = cin.nextInt();\n t[i] = cin.nextInt();\n }\n dp = new int[5 + 1][N + 1][L + 1];\n for(int i = 0;i < 5;i++){\n for(int j= 0;j < N;j++){\n for(int l = 0;l < L;l++){\n for(int m = 0;m < M;m++){\n if(d[m] == i && a[m] - 1 == j){\n dp[i + 1][0][l + 1] = Math.max(dp[i + 1][0][l + 1],dp[i][j][l] + t[m]);\n dp[i][j + k[m]][l + 1] = Math.max(dp[i][j + k[m]][l + 1],dp[i][j][l] + t[m]);\n }\n dp[i][j + 1][l] = Math.max(dp[i][j + 1][l],dp[i][j][l]);\n dp[i + 1][0][l] = Math.max(dp[i + 1][0][l],dp[i][j][l]);\n }\n }\n }\n }\n\n int ans = 0;\n for(int i = 0;i < 5 + 1;i++){\n for(int j = 0;j < N + 1;j++){\n for(int k = 0;k < L + 1;k++){\n ans = Math.max(ans,dp[i][j][k]);\n }\n }\n }\n System.out.println(ans);\n }\n public static void main(String[] args){\n new Main().solve();\n }\n}",
"python": "from itertools import product\n\nn, m, l = map(int, input().split())\nsubjects = [[] for _ in range(5)]\nfor _ in range(m):\n d, a, k, t = map(int, input().split())\n subjects[d].append((a, a + k - 1, t))\n\nfor i in range(5):\n subjects[i].sort(key=lambda x:x[1])\n \n#各曜日の科目数ごとの最大幸福\ndef calcDp(i):\n #dp[y][x] ... y科目xコマまでの最大幸福\n dp = [[0] * (n + 1) for _ in range(n + 1)]\n sub = subjects[i]\n for init, end, value in sub:\n for y in range(n):\n new_score = dp[y][init - 1] + value\n for x in range(end, n + 1):\n dp[y + 1][x] = max(dp[y + 1][x], new_score)\n ret = []\n for i in range(n + 1):\n ret.append(max(dp[i]))\n return ret\n\nlst = [calcDp(i) for i in range(5)]\n\nans = 0\nfor t in product(range(n + 1), repeat=5):\n if sum(t) > l:continue\n score = 0\n for i, v in enumerate(t):\n score += lst[i][v]\n ans = max(score, ans)\nprint(ans)\n"
}
|
|
|
# Turn Left
Taro got a driver’s license with a great effort in his campus days, but unfortunately there had been no opportunities for him to drive. He ended up obtaining a gold license.
One day, he and his friends made a plan to go on a trip to Kyoto with you. At the end of their meeting, they agreed to go around by car, but there was a big problem; none of his friends was able to drive a car. Thus he had no choice but to become the driver.
The day of our departure has come. He is going to drive but would never turn to the right for fear of crossing an opposite lane (note that cars keep left in Japan). Furthermore, he cannot U-turn for the lack of his technique. The car is equipped with a car navigation system, but the system cannot search for a route without right turns. So he asked to you: “I hate right turns, so, could you write a program to find the shortest left-turn-only route to the destination, using the road map taken from this navigation system?”
Input
The input consists of multiple data sets. The first line of the input contains the number of data sets. Each data set is described in the format below:
m n
name1 x1 y1
...
namem xm ym
p1 q1
...
pn qn
src dst
m is the number of intersections. n is the number of roads. namei is the name of the i-th intersection. (xi, yi) are the integer coordinates of the i-th intersection, where the positive x goes to the east, and the positive y goes to the north. pj and qj are the intersection names that represent the endpoints of the j-th road. All roads are bidirectional and either vertical or horizontal. src and dst are the names of the source and destination intersections, respectively.
You may assume all of the followings:
* 2 ≤ m ≤ 1000, 0 ≤ xi ≤ 10000, and 0 ≤ yi ≤ 10000;
* each intersection name is a sequence of one or more alphabetical characters at most 25 character long;
* no intersections share the same coordinates;
* no pair of roads have common points other than their endpoints;
* no road has intersections in the middle;
* no pair of intersections has more than one road;
* Taro can start the car in any direction; and
* the source and destination intersections are different.
Note that there may be a case that an intersection is connected to less than three roads in the input data; the rode map may not include smaller roads which are not appropriate for the non-local people. In such a case, you still have to consider them as intersections when you go them through.
Output
For each data set, print how many times at least Taro needs to pass intersections when he drive the route of the shortest distance without right turns. The source and destination intersections must be considered as “passed” (thus should be counted) when Taro starts from the source or arrives at the destination. Also note that there may be more than one shortest route possible.
Print “impossible” if there is no route to the destination without right turns.
Example
Input
2 1
KarasumaKitaoji 0 6150
KarasumaNanajo 0 0
KarasumaNanajo KarasumaKitaoji
KarasumaKitaoji KarasumaNanajo
3 2
KujoOmiya 0 0
KujoAburanokoji 400 0
OmiyaNanajo 0 1150
KujoOmiya KujoAburanokoji
KujoOmiya OmiyaNanajo
KujoAburanokoji OmiyaNanajo
10 12
KarasumaGojo 745 0
HorikawaShijo 0 870
ShijoKarasuma 745 870
ShijoKawaramachi 1645 870
HorikawaOike 0 1700
KarasumaOike 745 1700
KawaramachiOike 1645 1700
KawabataOike 1945 1700
KarasumaMarutamachi 745 2445
KawaramachiMarutamachi 1645 2445
KarasumaGojo ShijoKarasuma
HorikawaShijo ShijoKarasuma
ShijoKarasuma ShijoKawaramachi
HorikawaShijo HorikawaOike
ShijoKarasuma KarasumaOike
ShijoKawaramachi KawaramachiOike
HorikawaOike KarasumaOike
KarasumaOike KawaramachiOike
KawaramachiOike KawabataOike
KarasumaOike KarasumaMarutamachi
KawaramachiOike KawaramachiMarutamachi
KarasumaMarutamachi KawaramachiMarutamachi
KarasumaGojo KawabataOike
8 9
NishikojiNanajo 0 0
NishiojiNanajo 750 0
NishikojiGojo 0 800
NishiojiGojo 750 800
HorikawaGojo 2550 800
NishiojiShijo 750 1700
Enmachi 750 3250
HorikawaMarutamachi 2550 3250
NishikojiNanajo NishiojiNanajo
NishikojiNanajo NishikojiGojo
NishiojiNanajo NishiojiGojo
NishikojiGojo NishiojiGojo
NishiojiGojo HorikawaGojo
NishiojiGojo NishiojiShijo
HorikawaGojo HorikawaMarutamachi
NishiojiShijo Enmachi
Enmachi HorikawaMarutamachi
HorikawaGojo NishiojiShijo
0 0
Output
2
impossible
13
4
|
[
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 2055 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1606\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo -1 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmjya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 555 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n9\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 655\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 632 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikbwaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 745\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1131 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikaGawojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n9\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1834\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHosikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijokihsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HosikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 817 0\nNishikojiGojo 0 800\nNishiojiGojo 1115 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijokihsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HosikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarttamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 1\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikavaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 3455\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikaGawojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 1075\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 555 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n9\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1606\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo -1 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 1402 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaaNnajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorik`waOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 165\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 676\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 434 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarttamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi ihcamaturaMawakiroH\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramacii\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarttamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 1 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo -1 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishjkojiGojo\nNishiojiNanajo NishiojiGojn\nNishikojiFojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorijawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 817 0\nNishikojiGojo 0 800\nNishiojiGojo 1115 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikoiiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishilojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorhkawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarttamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 1 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 3455\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShikoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarartmaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 2950\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOikd KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijokihsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1834\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNijokihsiN NishkiojiGojn\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo roHikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KtjoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojanaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo ojihSijoihsiN\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojn\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKararumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKbrasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorijawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 817 0\nNishikojiGojo 0 800\nNishiojiGojo 1115 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nojanaNijoihsiN NishiojiGojn\nNishikoiiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 674\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikokiNanajo NishiojiNanajo\nojanaNijokihsiN ojoGijoikhsiN\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi ihcamaturaMawakiroH\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\nimpossible\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmayiNanajo 0 1150\nKujoOmiya KujoAburanoloji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaNike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nojanaNijokihsiN 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikavaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike ihcamaturaMamusaraK\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKararumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1388\nKujoOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShhjo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nojamaNhjokiisiN NishkiojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\nimpossible\n4\n"
}
},
{
"input": {
"stdin": "2 1\nKarasumaKitaoji 0 6150\nKarasumaNanajo 0 0\nKarasumaNanajo KarasumaKitaoji\nKarasumaKitaoji KarasumaNanajo\n3 2\nKujoOmiya 0 0\nKujoAburanokoji 400 0\nOmiyaNanajo 0 1150\noujKOmiya KujoAburanokoji\nKujoOmiya OmiyaNanajo\nKujoAburanokoji OmiyaNanajo\n10 12\nKarasumaGojo 745 0\nHorikawaShijo 0 870\nShijoKarasuma 745 870\nShijoKawaramachi 1645 870\nHorikawaOike 0 1700\nKarasumaOike 745 1700\nKawaramachiOike 1645 1700\nKawabataOike 1945 1700\nKarasumaMarutamachi 745 2445\nKawaramachiMarutamachi 1645 2445\nKarasumaGojo ShijoKarasuma\nHorikawaShijo ShijoKarasuma\nShijoKarasuma ShijoKawaramachi\nHorikawaShijo HorikawaOike\nShijoKarasuma KarasumaOike\nShijoKawaramachi KawaramachiOike\nHorikawaOike KarasumaOike\nKarasumaOike KawaramachiOike\nKawaramachiOike KawabataOike\nKarasumaOike KarasumaMarutamachi\nKawaramachiOike KawaramachiMarutamachi\nKarasumaMarutamachi KawaramachiMarutamachi\nKarasumaGojo KawabataOike\n8 9\nNishikojiNanajo 0 0\nNishiojiNanajo 750 0\nNishikojiGojo 0 800\nNishiojiGojo 750 800\nHorikawaGojo 2550 800\nNishiojiShijo 750 1700\nEnmachi 750 3250\nHorikawaMarutamachi 2550 3250\nNishikojiNanajo NishiojiNanajo\nNishikojiNanajo NishikojiGojo\nNishiojiNanajo NishiojiGojo\nNishikojiGojo NishiojiGojo\nNishiojiGojo HorikawaGojo\nNishiojiGojo NishiojiShijo\nHorikawaGojo HorikawaMarutamachi\nNishiojiShijo Enmachi\nEnmachi HorikawaMarutamachi\nHorikawaGojo NishiojiShijo\n0 0"
},
"output": {
"stdout": "2\nimpossible\n13\n4\n"
}
}
] |
{
"tags": [],
"title": "Turn Left"
}
|
{
"cpp": "#include <stdio.h>\n#include <cmath>\n#include <algorithm>\n#include <cfloat>\n#include <stack>\n#include <queue>\n#include <vector>\n#include <string>\n#include <iostream>\n#include <set>\n#include <map>\n#include <time.h>\ntypedef long long int ll;\ntypedef unsigned long long int ull;\n#define BIG_NUM 2000000000\n#define MOD 1000000007\n#define EPS 0.000000001\nusing namespace std;\n\n\nenum DIR{\n\tNorth,\n\tEast,\n\tSouth,\n\tWest,\n};\n\nstruct Info{\n\tchar name[26];\n\tint x,y;\n};\n\nstruct Data{\n\tData(int arg_to,DIR arg_dir){\n\t\tto = arg_to;\n\t\tdir = arg_dir;\n\t}\n\tint to;\n\tDIR dir;\n};\n\nstruct State{\n\tState(){\n\t\tnode_id = sum_dist = num_cross_point = 0;\n\t\tdir = North;\n\t}\n\tState(int arg_node_id,int arg_sum_dist,int arg_num_cross_point,DIR arg_dir){\n\t\tnode_id = arg_node_id;\n\t\tsum_dist = arg_sum_dist;\n\t\tnum_cross_point = arg_num_cross_point;\n\t\tdir = arg_dir;\n\t}\n\tbool operator<(const struct State &arg)const{\n\t\treturn sum_dist > arg.sum_dist;\n\t}\n\tint node_id,sum_dist,num_cross_point;\n\tDIR dir;\n};\n\nint M,N;\nint min_dist[1000][4],min_cross[1000][4];\nInfo info[1000];\nchar buf1[26],buf2[26];\nvector<Data> G[1000];\n\n\nint calc(int node_left,int node_right){\n\treturn abs(info[node_left].x-info[node_right].x)+abs(info[node_left].y-info[node_right].y);\n}\n\nbool strCmp(char* base, char* comp){\n\tint length1,length2;\n\tfor(length1=0;base[length1] != '\\0';length1++);\n\tfor(length2=0;comp[length2] != '\\0';length2++);\n\tif(length1 != length2)return false;\n\n\tfor(int i=0;base[i] != '\\0'; i++){\n\t\tif(base[i] != comp[i])return false;\n\t}\n\treturn true;\n}\n\n\nvoid func(){\n\n\tfor(int i = 0; i < M; i++){\n\t\tG[i].clear();\n\t}\n\n\tfor(int i = 0; i < M; i++){\n\t\tscanf(\"%s %d %d\",info[i].name,&info[i].x,&info[i].y);\n\t}\n\n\tint left_index,right_index;\n\tfor(int loop = 0; loop < N; loop++){\n\t\tscanf(\"%s %s\",buf1,buf2);\n\n\t\tfor(int i = 0; i < M; i++){\n\t\t\tif(strCmp(info[i].name,buf1)){\n\t\t\t\tleft_index = i;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\n\t\tfor(int i = 0; i < M; i++){\n\t\t\tif(strCmp(info[i].name,buf2)){\n\t\t\t\tright_index = i;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\n\t\tif(info[left_index].x == info[right_index].x){\n\t\t\tif(info[left_index].y > info[right_index].y){\n\t\t\t\tG[left_index].push_back(Data(right_index,South));\n\t\t\t\tG[right_index].push_back(Data(left_index,North));\n\t\t\t}else{\n\t\t\t\tG[left_index].push_back(Data(right_index,North));\n\t\t\t\tG[right_index].push_back(Data(left_index,South));\n\t\t\t}\n\t\t}else{\n\t\t\tif(info[left_index].x > info[right_index].x){\n\t\t\t\tG[left_index].push_back(Data(right_index,West));\n\t\t\t\tG[right_index].push_back(Data(left_index,East));\n\t\t\t}else{\n\t\t\t\tG[left_index].push_back(Data(right_index,East));\n\t\t\t\tG[right_index].push_back(Data(left_index,West));\n\t\t\t}\n\t\t}\n\t}\n\n\tint start,goal;\n\tscanf(\"%s %s\",buf1,buf2);\n\tfor(int i = 0; i < M; i++){\n\t\tif(strCmp(info[i].name,buf1)){\n\t\t\tstart = i;\n\t\t\tbreak;\n\t\t}\n\t}\n\n\tfor(int i = 0; i < M; i++){\n\t\tif(strCmp(info[i].name,buf2)){\n\t\t\tgoal = i;\n\t\t\tbreak;\n\t\t}\n\t}\n\n\tfor(int i = 0; i < M; i++){\n\t\tfor(int k = 0; k < 4; k++){\n\t\t\tmin_dist[i][k] = BIG_NUM;\n\t\t\tmin_cross[i][k] = BIG_NUM;\n\t\t}\n\t}\n\n\tfor(int i = 0; i < 4; i++){\n\t\tmin_dist[start][i] = 0;\n\t\tmin_cross[start][i] = 1;\n\t}\n\n\tpriority_queue<State> Q;\n\tfor(int i = 0; i < G[start].size(); i++){\n\t\tmin_dist[G[start][i].to][G[start][i].dir] = calc(start,G[start][i].to);\n\t\tmin_cross[G[start][i].to][G[start][i].dir] = 2;\n\t\tQ.push(State(G[start][i].to,min_dist[G[start][i].to][G[start][i].dir],2,G[start][i].dir));\n\t}\n\n\tint next_node,next_dist;\n\tDIR next_dir;\n\n\twhile(!Q.empty()){\n\n\t\tif(Q.top().node_id == goal){\n\t\t\tQ.pop();\n\t\t}else if((Q.top().sum_dist > min_dist[Q.top().node_id][Q.top().dir]) ||\n\t\t\t\t(Q.top().sum_dist == min_dist[Q.top().node_id][Q.top().dir] && Q.top().num_cross_point > min_cross[Q.top().node_id][Q.top().dir])){\n\t\t\tQ.pop();\n\t\t}else{\n\n\t\t\tfor(int i = 0; i < G[Q.top().node_id].size(); i++){\n\n\t\t\t\tif(Q.top().dir == North){\n\t\t\t\t\tif(G[Q.top().node_id][i].dir != North && G[Q.top().node_id][i].dir != West)continue;\n\t\t\t\t}else if(Q.top().dir == West){\n\t\t\t\t\tif(G[Q.top().node_id][i].dir != West && G[Q.top().node_id][i].dir != South)continue;\n\t\t\t\t}else if(Q.top().dir == South){\n\t\t\t\t\tif(G[Q.top().node_id][i].dir != South && G[Q.top().node_id][i].dir != East)continue;\n\t\t\t\t}else{ //Q.top().dir == East\n\t\t\t\t\tif(G[Q.top().node_id][i].dir != East && G[Q.top().node_id][i].dir != North)continue;\n\t\t\t\t}\n\t\t\t\tnext_node= G[Q.top().node_id][i].to;\n\t\t\t\tnext_dist = Q.top().sum_dist+calc(Q.top().node_id,next_node);\n\t\t\t\tnext_dir = G[Q.top().node_id][i].dir;\n\n\t\t\t\tif(min_dist[next_node][next_dir] > next_dist){\n\t\t\t\t\tmin_dist[next_node][next_dir] = next_dist;\n\t\t\t\t\tmin_cross[next_node][next_dir] = Q.top().num_cross_point+1;\n\t\t\t\t\tQ.push(State(next_node,next_dist,Q.top().num_cross_point+1,next_dir));\n\t\t\t\t}else if(min_dist[next_node][next_dir] == next_dist && min_cross[next_node][next_dir] > Q.top().num_cross_point+1){\n\t\t\t\t\tmin_cross[next_node][next_dir] = Q.top().num_cross_point+1;\n\t\t\t\t\tQ.push(State(next_node,next_dist,Q.top().num_cross_point+1,next_dir));\n\t\t\t\t}\n\t\t\t}\n\t\t\tQ.pop();\n\t\t}\n\t}\n\n\tint final_dist = BIG_NUM,final_cross = BIG_NUM;\n\n\tfor(int i = 0; i < 4; i++){\n\t\tif(min_dist[goal][i] != BIG_NUM){\n\t\t\tif(final_dist > min_dist[goal][i]){\n\t\t\t\tfinal_dist = min_dist[goal][i];\n\t\t\t\tfinal_cross = min_cross[goal][i];\n\t\t\t}else if(final_dist == min_dist[goal][i]){\n\t\t\t\tfinal_cross = min(final_cross,min_cross[goal][i]);\n\t\t\t}\n\t\t}\n\t}\n\n\tif(final_dist != BIG_NUM){\n\t\tprintf(\"%d\\n\",final_cross);\n\t}else{\n\t\tprintf(\"impossible\\n\");\n\t}\n\n}\n\nint main(){\n\n\twhile(true){\n\t\tscanf(\"%d %d\",&M,&N);\n\t\tif(M == 0 && N == 0)break;\n\n\t\tfunc();\n\t}\n\n\treturn 0;\n}",
"java": "import java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.Comparator;\nimport java.util.HashMap;\nimport java.util.List;\nimport java.util.Map;\nimport java.util.PriorityQueue;\nimport java.util.Scanner;\n\n//Turn Left\npublic class Main{\n\n\tdouble EPS = 1e-10;\n\tint INF = 1<<29, M = 1000;\n\tint[] x, y;\n\tboolean ok(int pre, int v, int next){\n\t\tint x1 = x[v]-x[pre], y1 = y[v]-y[pre], x2 = x[next]-x[pre], y2 = y[next]-y[pre];\n\t\treturn x1*y2-x2*y1>=0;\n\t}\n\t\n\tint[][] pass;\n\tdouble[][] d;\n\t@SuppressWarnings(\"unchecked\")\n\tvoid run(){\n\t\tScanner sc = new Scanner(System.in);\n\t\tfor(;;){\n\t\t\tint m = sc.nextInt(), n = sc.nextInt();\n\t\t\tif((m|n)==0)break;\n\t\t\tMap<String, Integer> ref = new HashMap<String, Integer>();\n\t\t\tx = new int[m]; y = new int[m];\n\t\t\tfor(int i=0;i<m;i++){\n\t\t\t\tref.put(sc.next(), i);\n\t\t\t\tx[i] = sc.nextInt(); y[i] = sc.nextInt();\n\t\t\t}\n\t\t\tdouble[][] dist = new double[m][m];\n\t\t\tList<Integer>[] adj = new List[m];\n\t\t\tfor(int i=0;i<m;i++)adj[i]=new ArrayList<Integer>();\n\t\t\twhile(n--!=0){\n\t\t\t\tint s = ref.get(sc.next()), t = ref.get(sc.next());\n\t\t\t\tadj[s].add(t); adj[t].add(s);\n\t\t\t\tdist[s][t] = dist[t][s] = Math.sqrt((x[s]-x[t])*(x[s]-x[t])+(y[s]-y[t])*(y[s]-y[t]));\n\t\t\t}\n\t\t\tint s = ref.get(sc.next()), g = ref.get(sc.next());\n\t\t\td = new double[m][m];\n\t\t\tfor(double[]a:d)Arrays.fill(a, INF);\n\t\t\tpass = new int[m][m];\n\t\t\tfor(int[]a:pass)Arrays.fill(a, INF);\n\t\t\tPriorityQueue<Integer> q = new PriorityQueue<Integer>(m, new Comparator<Integer>() {\n\t\t\t\tpublic int compare(Integer o1, Integer o2) {\n\t\t\t\t\tif(Math.abs(d[o1/M][o1%M]-d[o2/M][o2%M])<EPS)return pass[o1/M][o1%M]-pass[o2/M][o2%M];\n\t\t\t\t\treturn (int)Math.signum(d[o1/M][o1%M]-d[o2/M][o2%M]);\n\t\t\t\t}\n\t\t\t});\n\t\t\tfor(int v:adj[s]){\n\t\t\t\td[v][s] = dist[s][v]; pass[v][s] = 2;\n\t\t\t\tq.add(v*M+s);\n\t\t\t}\n\t\t\tint res = INF;\n\t\t\twhile(!q.isEmpty()){\n\t\t\t\tint a = q.poll();\n\t\t\t\tint v = a/M, pre = a%M;\n\t\t\t\tif(v==g){\n\t\t\t\t\tres = pass[v][pre];\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\tfor(int k:adj[v]){\n\t\t\t\t\tif(k==pre)continue;\n\t\t\t\t\tif(!ok(pre, v, k))continue;\n\t\t\t\t\tdouble w = d[v][pre] + dist[v][k];\n\t\t\t\t\tint t = pass[v][pre]+1;\n//\t\t\t\t\tif(Math.abs(w-d[k][v])<EPS&&t<pass[k][v]){\n//\t\t\t\t\t\tpass[k][v] = t; q.add(k*M+v);\n//\t\t\t\t\t}\n//\t\t\t\t\telse \n\t\t\t\t\t\tif(w<d[k][v]){\n\t\t\t\t\t\td[k][v] = w; pass[k][v] = t; q.add(k*M+v);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println(res==INF?\"impossible\":res);\n\t\t}\n\t}\n\t\n\tpublic static void main(String[] args) {\n\t\tnew Main().run();\n\t}\n}",
"python": null
}
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