Search is not available for this dataset
name
stringlengths 2
88
| description
stringlengths 31
8.62k
| public_tests
dict | private_tests
dict | solution_type
stringclasses 2
values | programming_language
stringclasses 5
values | solution
stringlengths 1
983k
|
|---|---|---|---|---|---|---|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int N = 200005;
int MOD;
int add(int x, int y) {
x += y;
return x >= MOD ? x - MOD : x;
}
int sub(int x, int y) {
x -= y;
return x < 0 ? x + MOD : x;
}
int mul(int x, int y) { return 1ll * x * y % MOD; }
int mul3(int x, int y, int z) { return 1ll * x * y % MOD * z % MOD; }
int mul4(int x, int y, int p, int q) { return mul(mul(x, y), mul(p, q)); }
int qpow(int x, int y) {
int ret = 1;
while (y) {
if (y & 1) ret = mul(ret, x);
x = mul(x, x);
y >>= 1;
}
return ret;
}
int n, k, ans = 0, sum[N], inv[N];
int cnt1, cnt2, l1 = 0, l2 = 0;
void merge_sort(int l, int r, int h) {
if (l >= r) return;
if (h <= 1) {
int len = r - l + 1;
ans = add(ans, mul(mul(len - 1, len), inv[4]));
if (!l1)
l1 = len;
else if (len != l1)
l2 = len;
if (len == l1)
cnt1++;
else
cnt2++;
return;
}
int mid = (l + r) >> 1;
merge_sort(l, mid, h - 1);
merge_sort(mid + 1, r, h - 1);
}
int calc(int len1, int len2) {
int ret = 0;
for (int i = 1; i <= len1; i++) {
ret = add(ret, mul(len2, inv[2]));
ret = sub(ret, sub(sum[i + len2], sum[i]));
}
return ret;
}
int main() {
scanf("%d%d%d", &n, &k, &MOD);
inv[1] = 1;
for (int i = 2; i <= max(n, 4); i++)
inv[i] = mul(MOD - MOD / i, inv[MOD % i]);
for (int i = 1; i <= n; i++) sum[i] = add(sum[i - 1], inv[i]);
merge_sort(1, n, k);
ans = add(ans, mul4(cnt1, cnt1 - 1, inv[2], calc(l1, l1)));
ans = add(ans, mul4(cnt2, cnt2 - 1, inv[2], calc(l2, l2)));
if (l2) ans = add(ans, mul3(cnt1, cnt2, calc(l1, l2)));
cout << ans << endl;
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
template <class T>
void minn(T &a, T b) {
a = min(a, b);
}
template <class T>
void maxx(T &a, T b) {
a = max(a, b);
}
void io() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
}
const long long MOD = 1000000007LL;
const long long PRIME = 105943LL;
const long long INF = 1e18;
long long mod;
inline long long add(long long a, long long b) { return (a + b) % mod; }
inline long long mul(long long a, long long b) { return (1LL * a * b) % mod; }
inline long long pow(long long a, long long p) {
long long ret = 1LL;
while (p) {
if (p & 1LL) ret = mul(ret, a);
a = mul(a, a), p >>= 1LL;
}
return ret;
}
inline long long inv(long long x) { return pow(x, mod - 2); }
void go(int l, int r, int h, map<int, int> &cnt) {
if (l <= r)
if (h <= 1)
cnt[r - l + 1]++;
else {
int m = (l + r) / 2;
go(l, m, h - 1, cnt);
go(m + 1, r, h - 1, cnt);
}
}
int solve(int x) { return mul(x, mul(x - 1, inv(4))); }
int solve(int x, int y) {
long long ret = 0;
for (int sz = 2; sz <= (int)x + y; sz++)
ret = add(ret, mul(mul(sz - 2, min(x, sz) - max(1, sz - y) + 1),
mul(inv(2), inv(sz))));
return ret;
}
int main() {
io();
int n, k;
cin >> n >> k >> mod;
map<int, int> cnt;
go(1, n, k, cnt);
assert(cnt.size() < 3);
int s = cnt.size();
vector<long long> len, num;
for (auto en : cnt) len.push_back(en.first), num.push_back(en.second);
long long ans = 0;
for (int i = 0; i < (int)(s); i++) {
long long temp = mul(num[i], solve(len[i]));
ans = add(ans, temp);
}
for (int i = 0; i < (int)(s); i++) {
long long temp = mul(num[i] * (num[i] - 1) / 2, solve(len[i], len[i]));
ans = add(ans, temp);
}
for (int i = 0; i < (int)(s); i++)
for (int j = i + 1; j < (int)(s); j++) {
long long temp = mul(mul(num[i], num[j]), solve(len[i], len[j]));
ans = add(ans, temp);
}
cout << ans << "\n";
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int MAXN = 1e5 + 5;
char buf[1 << 12], *pp1 = buf, *pp2 = buf, nc;
int ny;
inline char gc() {
return pp1 == pp2 &&
(pp2 = (pp1 = buf) + fread(buf, 1, 1 << 12, stdin), pp1 == pp2)
? EOF
: *pp1++;
}
inline int read() {
int x = 0;
for (ny = 1; nc = gc(), (nc < 48 || nc > 57) && nc != EOF;)
if (nc == 45) ny = -1;
if (nc < 0) return nc;
for (x = nc - 48; nc = gc(), 47 < nc && nc < 58 && nc != EOF;
x = (x << 3) + (x << 1) + (nc ^ 48))
;
return x * ny;
}
int n, k, Mod, Fac[MAXN], iFac[MAXN], ans, t[MAXN], bel[MAXN], cnt, len[MAXN],
inv[MAXN], sum[MAXN];
inline int C(int n, int m) {
return n < 0 || m < 0 || n < m
? 0
: 1ll * Fac[n] * iFac[m] % Mod * iFac[n - m] % Mod;
}
inline int Fp(int x, int k) {
int ans = 1;
for (; k; k >>= 1, x = 1ll * x * x % Mod)
if (k & 1) ans = 1ll * ans * x % Mod;
return ans;
}
int t1, t2;
inline int calc(int len1, int len2) {
int ans = 0;
for (int i = (0); i <= (len1 - 1); i++)
ans = (ans + 1ll * i * (sum[i + len2 + 1] - sum[i + 1] + Mod) % Mod) % Mod;
return 1ll * ans * (Mod + 1 >> 1) % Mod;
}
inline void Div(int l, int r, int h) {
if (h == k || l == r) {
len[++cnt] = r - l + 1;
return;
}
int mid = l + r >> 1;
Div(l, mid, h + 1), Div(mid + 1, r, h + 1);
}
int main() {
n = read(), k = read() - 1, Mod = read(), Div(1, n, 0);
Fac[0] = 1;
for (int i = (1); i <= (n); i++) Fac[i] = 1ll * Fac[i - 1] * i % Mod;
iFac[n] = Fp(Fac[n], Mod - 2);
for (int i = (n); i >= (1); i--) iFac[i - 1] = 1ll * iFac[i] * i % Mod;
for (int i = (1); i <= (n); i++)
inv[i] = 1ll * iFac[i] * Fac[i - 1] % Mod,
sum[i] = (sum[i - 1] + inv[i]) % Mod;
if (k) {
for (int i = (1); i <= (cnt); i++)
if (len[i] == ((n >> k)))
t1++;
else
t2++;
ans = (calc(n >> k, n >> k) * (1ll * t1 * (t1 - 1) % Mod) +
(calc(n >> k, (n >> k) + 1) + calc((n >> k) + 1, n >> k)) *
(1ll * t1 * t2 % Mod) +
calc((n >> k) + 1, (n >> k) + 1) * (1ll * t2 * (t2 - 1) % Mod)) %
Mod;
}
for (int i = (1); i <= (cnt); i++)
ans =
(ans + (1ll * len[i] * (len[i] - 1) / 2 % Mod) * (Mod + 1 >> 1) % Mod) %
Mod;
cout << ans << "\n";
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
std::map<int, int> mp;
int p, inv[200005], sum[200005];
inline int read() {
register int x = 0, f = 1;
register char s = getchar();
while (s > '9' || s < '0') {
if (s == '-') f = -1;
s = getchar();
}
while (s >= '0' && s <= '9') {
x = x * 10 + s - '0';
s = getchar();
}
return x * f;
}
inline int max(const int &x, const int &y) { return x > y ? x : y; }
inline void simulate(int l, int r, int k) {
if (k == 1 || l == r) {
std::map<int, int>::iterator it = mp.find(r - l + 1);
if (it != mp.end())
++it->second;
else
mp.insert(std::make_pair(r - l + 1, 1));
return;
}
int mid = l + r >> 1;
simulate(l, mid, k - 1);
simulate(mid + 1, r, k - 1);
}
inline int calc(int len1, int len2) {
int res = 0;
for (register int i = 1; i <= len1; ++i) {
(res += (inv[2] * len2 % p - (sum[i + len2] - sum[i]) % p) % p) %= p;
}
return res;
}
int main() {
long long ans = 0;
int n = read(), k = read();
p = read();
inv[1] = 1;
for (register int i = 2; i <= max(n, 4); ++i)
inv[i] = (p - (p / i)) * 1ll * inv[p % i] % p;
for (register int i = 1; i <= n; ++i) sum[i] = (sum[i - 1] + inv[i]) % p;
simulate(1, n, k);
for (std::map<int, int>::iterator it = mp.begin(); it != mp.end(); ++it) {
long long len = it->first, cnt = it->second;
(ans += cnt * ((len - 1) * 1ll * len % p) % p * inv[4] % p) %= p;
}
for (std::map<int, int>::iterator it1 = mp.begin(); it1 != mp.end(); ++it1) {
for (std::map<int, int>::iterator it2 = mp.begin(); it2 != mp.end();
++it2) {
if (it1->first == it2->first) {
long long len = it1->first,
cnt = (it1->second - 1) * 1ll * (it1->second) / 2 % p;
(ans += cnt * 1ll * calc(len, len) % p) %= p;
} else if (it1->first < it2->first) {
long long cnt = (it2->second) * (it1->second) % p;
(ans += cnt * 1ll * calc(it1->first, it2->first) % p) %= p;
}
}
}
printf("%lld\n", (ans + p) % p);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
template <class T1, class T2>
inline void chkmin(T1 &x, T2 y) {
if (y < x) x = y;
}
template <class T1, class T2>
inline void chkmax(T1 &x, T2 y) {
if (y > x) x = y;
}
const int BUF_SIZE = 1 << 20;
char buf[BUF_SIZE], *P1 = buf, *P2 = buf, obuf[BUF_SIZE], *PO = obuf;
inline char getc() {
if (P1 == P2) P2 = (P1 = buf) + fread(buf, 1, BUF_SIZE, stdin);
return P1 == P2 ? EOF : *P1++;
}
inline void read(int &x) {
register char ch = getc();
x = 0;
while (!isdigit(ch)) ch = getc();
while (isdigit(ch)) x = x * 10 + (ch ^ 48), ch = getc();
}
inline void flushO() {
fwrite(obuf, PO - obuf, 1, stdout);
PO = obuf;
}
inline void putc(char ch) {
if (PO == obuf + (BUF_SIZE)) flushO();
*PO++ = ch;
}
inline void prints(char s[]) {
for (char *ss = s; *ss != '\0'; ss++) putc(*ss);
}
inline void write(long long x) {
if (x > 9) write(x / 10);
putc(x % 10 ^ 48);
}
const int N = 100005;
int MOD;
inline int mo(int x) { return x >= MOD ? x - MOD : x; }
struct mint {
int x;
mint() {}
mint(int a) { x = a; }
};
inline mint operator+(mint a, mint b) { return mo(a.x + b.x); }
inline mint operator+=(mint &a, mint b) { return a = a + b; }
inline mint operator-(mint a, mint b) { return mo(a.x + MOD - b.x); }
inline mint operator-(mint a) { return mo(MOD - a.x); }
inline mint operator-=(mint &a, mint b) { return a = a - b; }
inline mint operator*(mint a, mint b) { return 1ll * a.x * b.x % MOD; }
inline mint operator*=(mint &a, mint b) { return a = a * b; }
inline mint operator^(mint a, int b) {
mint res = mint{1};
for (; b; b >>= 1, a *= a)
if (b & 1) res *= a;
return res;
}
inline mint Inv(mint a) { return a ^ MOD - 2; }
inline mint operator/(mint a, mint b) { return a * Inv(b); }
inline mint operator/=(mint &a, mint b) { return a = a / b; }
int n, k, la, lb, ca, cb;
mint inv[N], sinv[N], ans;
inline void math_init(int n) {
inv[1] = 1;
for (int i = 2; i <= (n); i++) inv[i] = -inv[MOD % i] * (MOD / i);
for (int i = 1; i <= (n); i++) sinv[i] = sinv[i - 1] + inv[i];
}
void solve(int l, int r, int h) {
if (h <= 1 || l == r) {
int len = r - l + 1;
ans += inv[4] * len * (len - 1) + (ca * la + cb * lb) * inv[2] -
(sinv[la + len] - sinv[len]) * ca -
(sinv[lb + len] - sinv[len]) * cb;
if (!la) la = len;
if (len != la && !lb) lb = len;
if (len == la)
ca++;
else
cb++;
return;
}
int mid = l + r >> 1;
solve(l, mid, h - 1);
solve(mid + 1, r, h - 1);
}
int main() {
scanf("%d%d%d", &n, &k, &MOD);
math_init(max(n, 4));
solve(1, n, k);
printf("%d", ans);
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int get() {
char ch;
while (ch = getchar(), (ch < '0' || ch > '9') && ch != '-')
;
if (ch == '-') {
int s = 0;
while (ch = getchar(), ch >= '0' && ch <= '9') s = s * 10 + ch - '0';
return -s;
}
int s = ch - '0';
while (ch = getchar(), ch >= '0' && ch <= '9') s = s * 10 + ch - '0';
return s;
}
const int N = 1e5 + 5;
int n, k, q;
map<int, int> cnt;
long long ans;
long long js[N], inv[N];
int mo;
void build(int l, int r, int h) {
if (l == r || h <= 1) {
cnt[r - l + 1]++;
return;
}
int mid = (l + r) / 2;
build(l, mid, h - 1);
build(mid + 1, r, h - 1);
}
long long calc(int la, int lb) {
long long ret = inv[2] * la % mo * lb % mo;
for (int i = 2; i <= la + lb; i++) {
int l = 1, r = la;
l = max(l, i - lb);
r = min(r, i - 1);
ret = (ret + mo - 1ll * (r - l + 1) * inv[i]) % mo;
}
return ret;
}
int main() {
n = get();
k = get();
mo = q = get();
build(1, n, k);
inv[0] = inv[1] = 1;
for (int i = 2; i <= 1e5; i++) inv[i] = 1ll * (q - q / i) * inv[q % i] % q;
for (map<int, int>::iterator h = cnt.begin(); h != cnt.end(); h++) {
int s = (*h).first, c = (*h).second;
ans = (ans + 1ll * s * (s - 1) * inv[4] % q * c % q) % q;
map<int, int>::iterator p = h;
ans = (ans + inv[2] * c * (c - 1) % mo * calc(s, s) % mo) % mo;
p++;
for (; p != cnt.end(); p++)
ans = (ans + 1ll * c * (*p).second % mo * calc(s, (*p).first)) % mo;
}
cout << ans << endl;
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
int q, I[200010];
long long inv(int a, int p) {
return a == 1 ? 1 : (1 + p * (a - inv(p % a, a))) / a % p;
}
int f(int a, int b) {
int s = 0;
for (int i = 0; i < a + b - 1; i++)
s = (s + ((i + 1 < a ? i + 1 : a) - (i - b + 1 > 0 ? i - b + 1 : 0)) * 1ll *
i % q * I[i + 2]) %
q;
return (q + 1ll) / 2 * s % q;
}
int main() {
int n, k;
scanf("%d%d%d", &n, &k, &q);
--k;
if (k > 18) k = 18;
int a = n >> k, b = a + 1, x, y;
if (a)
x = (b << k) - n, y = (1 << k) - x;
else
x = 0, y = n;
for (int i = *I = 1; i <= a + b; i++) I[i] = I[i - 1] * 1ll * i % q;
long long P = inv(I[a + b], q);
for (int i = a + b; i; i--) I[i] = I[i - 1] * P % q, P = P * i % q;
int s = (x * (x - 1ll) / 2 % q * f(a, a) + 1ll * x * y % q * f(a, b) +
y * (y - 1ll) / 2 % q * f(b, b) +
a * (a - 1ll) / 2 % q * (q + 1 >> 1) % q * x +
b * (b - 1ll) / 2 % q * (q + 1 >> 1) % q * y) %
q;
printf("%d\n", s);
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
inline long long read() {
long long x = 0;
char ch = getchar();
bool d = 1;
for (; !isdigit(ch); ch = getchar())
if (ch == '-') d = 0;
for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0';
return d ? x : -x;
}
inline unsigned long long rnd() {
return ((unsigned long long)rand() << 30 ^ rand()) << 4 | rand() % 4;
}
const int N = 1e5 + 5;
int a[N], mo, inv2;
int C(int n) { return (long long)(n - 1) * n % mo * inv2 % mo; }
int ksm(int x, int p) {
int res = 1;
for (; p; p >>= 1, x = (long long)x * x % mo) {
if (p & 1) res = (long long)res * x % mo;
}
return res;
}
vector<long long> v;
int sum[N], tong[N];
void solve(int l, int r, int k) {
if (k <= 1 || l == r) {
if (!tong[r - l + 1]) v.push_back(r - l + 1);
tong[r - l + 1]++;
return;
}
int mid = l + r >> 1;
solve(l, mid, k - 1);
solve(mid + 1, r, k - 1);
}
int calc(int x, int y) {
int res = (long long)x * y % mo * inv2 % mo;
for (int i = (int)(1); i <= (int)(x); i++)
res = (res - sum[i + y] + sum[i] + mo) % mo;
return res;
}
int main() {
int n = read(), k = read();
mo = read();
inv2 = (mo + 1) / 2;
for (int i = (int)(1); i <= (int)(n); i++) {
int inv = ksm(i, mo - 2);
sum[i] = (sum[i - 1] + inv) % mo;
}
solve(1, n, k);
int ans = 0;
for (auto x : v) {
ans = (ans + (long long)C(x) * inv2 % mo * tong[x]) % mo;
ans = (ans + (long long)C(tong[x]) * calc(x, x)) % mo;
}
for (auto x : v)
for (auto y : v)
if (x > y) {
ans = (ans + (long long)tong[x] * tong[y] % mo * calc(x, y)) % mo;
}
cout << ans;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int n, t, ans[301];
int query(int x, int y) {
cout << "? " << x << " " << y << endl;
cout.flush();
int ti;
cin >> ti;
return ti;
}
int main() {
cin >> n >> t;
int SS = t;
int qz = 0, la = 0;
for (int i = 1; i <= n - 1; ++i) {
int lt = t, st = t;
for (int j = 1; j <= 16; ++j) {
t = query(i + 1, n);
t = query(i + 1, n);
if (t != lt) st = t;
}
st -= lt;
ans[i] = (i - st) / 2 - la;
qz += ans[i];
la = la + ans[i] + (t - lt);
}
ans[n] = SS - qz;
cout << "! ";
for (int i = 1; i <= n; ++i) cout << ans[i];
cout << endl;
cout.flush();
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
const int N = 200005;
int n, k, q, mod, cnt[2];
int sH[N], ans;
void up(int &x, int y) { x += y - mod, x += x >> 31 & mod; }
void up(int &x, int y, int z) { x = (x + (long long)y * z) % mod; }
int c(int n) { return (long long)n * (n - 1) / 2 % mod; }
void solve(int n, int m) {
if (m == 1 || n == 1) return void(++cnt[n - q]);
solve(n >> 1, m - 1), solve(n + 1 >> 1, m - 1);
}
int f(int a, int b) {
return ((long long)a * b % mod * (mod + 1 >> 1) + mod + sH[a] + sH[b] -
sH[a + b]) %
mod;
}
int main() {
std::ios::sync_with_stdio(0), std::cin.tie(0);
std::cin >> n >> k >> mod;
q = n >> std::min(k - 1, 20), solve(n, k);
sH[1] = 1;
for (int i = 2; i <= n; ++i)
sH[i] = (long long)(mod - mod / i) * sH[mod % i] % mod;
for (int i = 2; i <= n; ++i) up(sH[i], sH[i - 1]);
for (int i = 2; i <= n; ++i) up(sH[i], sH[i - 1]);
std::cout << q << ' ' << cnt[0] << ' ' << cnt[1] << std::endl;
up(ans, (long long)c(q) * (mod + 1 >> 1) % mod, cnt[0]);
up(ans, (long long)c(q + 1) * (mod + 1 >> 1) % mod, cnt[1]);
up(ans, f(q, q), c(cnt[0]));
up(ans, f(q + 1, q + 1), c(cnt[1]));
up(ans, f(q, q + 1), (long long)cnt[0] * cnt[1] % mod);
std::cout << ans << '\n';
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
inline char gc() {
static char buf[100000], *p1 = buf, *p2 = buf;
return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2)
? EOF
: *p1++;
}
inline long long read() {
long long x = 0;
char ch = getchar();
bool positive = 1;
for (; !isdigit(ch); ch = getchar())
if (ch == '-') positive = 0;
for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0';
return positive ? x : -x;
}
inline void write(long long a) {
if (a < 0) {
a = -a;
putchar('-');
}
if (a >= 10) write(a / 10);
putchar('0' + a % 10);
}
inline void writeln(long long a) {
write(a);
puts("");
}
inline void wri(long long a) {
write(a);
putchar(' ');
}
const int N = 100005;
int ycl[N], mod, inv;
long long get(long long len) { return len * (len - 1) / 2 % mod * inv % mod; }
inline long long ksm(long long a, int b) {
int ans = 1;
for (; b; b >>= 1) {
if (b & 1) ans = ans * a % mod;
a = a * a % mod;
}
return ans;
}
int n, k;
long long get(long long a, long long b) {
if (a + b > n) return 0;
long long ans = 0;
for (int i = 1; i <= a; i++) {
ans = (ans + inv * b - ycl[i + b] + ycl[i]) % mod;
}
return (ans + mod) % mod;
}
int main() {
cin >> n >> k >> mod;
inv = (mod + 1) / 2;
ycl[1] = 1;
for (int i = 2; i <= n; i++)
ycl[i] = mod - (long long)ycl[mod % i] * (mod / i) % mod;
for (int i = 2; i <= n; i++) ycl[i] = (ycl[i - 1] + ycl[i]) % mod;
int i = n >> (k - 1);
int y = n - (1 << (k - 1)) * i, x = (1 << (k - 1)) - y;
cout << (get(i) * x + get(i + 1) * y + get(i, i + 1) * x % mod * y +
x * (x - 1) / 2 % mod * get(i, i) +
y * (y - 1) / 2 % mod * get(i + 1, i + 1)) %
mod
<< endl;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int N = 2e6 + 10;
int mod = 1e9 + 7;
long long power(long long a, long long b) {
long long res = 1;
while (b) {
if (b & 1) res = res * a % mod;
a = a * a % mod;
b >>= 1;
}
return res;
}
long long INV(long long a) { return power(a, mod - 2); }
mt19937 Rand(123456);
int Range(int l, int r) { return l + Rand() % (r - l + 1); }
map<int, int> mp;
void work(int l, int r, int k) {
if (k == 1 || l == r) {
++mp[r - l + 1];
return;
}
int mid = (l + r) / 2;
work(l, mid, k - 1);
work(mid + 1, r, k - 1);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, k;
cin >> n >> k >> mod;
vector<long long> inv(2 * n), inv_sum;
for (int i = 0; i <= 2 * n - 1; i++) inv[i] = INV(i);
inv_sum = inv;
for (int i = 1; i <= 2 * n - 1; i++) inv_sum[i] += inv_sum[i - 1];
for (auto& I : inv_sum) I %= mod;
auto merge = [&](int l, int r, const vector<long long>& inv_sum) {
long long res = (long long)l * r % mod * INV(2) % mod;
for (int i = 1; i <= l; i++) res -= inv_sum[i + r] - inv_sum[i];
res %= mod;
res += mod;
return res % mod;
};
work(1, n, k);
long long res = 0;
for (auto I : mp)
res += (I.first * (I.first - 1) % mod * INV(4) % mod) * I.second % mod,
res += I.second * (I.second - 1) % mod * INV(2) % mod *
merge(I.first, I.first, inv_sum) % mod;
for (auto I : mp)
for (auto J : mp)
if (I.first < J.first)
res +=
merge(I.first, J.first, inv_sum) * I.second % mod * J.second % mod;
res %= mod;
res += mod;
res %= mod;
cout << res;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int n, k, mo;
int n1, n2, len, ans = 0;
int Sum(int x, int y) {
x += y;
return (x >= mo) ? x - mo : x;
}
int Sub(int x, int y) {
x -= y;
return (x < 0) ? x + mo : x;
}
int Mul(int x, int y) { return (long long)x * y % mo; }
int Pow(int x, int y = mo - 2) {
int z = 1;
while (y) {
if (y & 1) z = Mul(z, x);
y >>= 1;
x = Mul(x, x);
}
return z;
}
int C(int x) { return Mul(x, Mul(x - 1, (mo + 1) / 2)); }
namespace task1 {
int Calc(int x) { return Mul((mo + 1) / 2, C(x)); }
} // namespace task1
namespace task2 {
int Calc(int x, int y) {
int ans = Mul(x, y);
for (int i = 2; i <= x + y; i++) {
int l = max(1, i - y);
int r = min(x, i - 1);
if (l <= r) ans = Sub(ans, Mul(Pow(i), (r - l + 1) * 2));
}
return Mul(ans, (mo + 1) / 2);
}
} // namespace task2
int main() {
scanf("%d%d%d", &n, &k, &mo);
len = n / (1 << (k - 1));
n2 = n - len * (1 << (k - 1));
n1 = (1 << (k - 1)) - n2;
ans = Sum(ans, Mul(n1, task1::Calc(len)));
ans = Sum(ans, Mul(n2, task1::Calc(len + 1)));
ans = Sum(ans, Mul(C(n1), task2::Calc(len, len)));
ans = Sum(ans, Mul(C(n2), task2::Calc(len + 1, len + 1)));
ans = Sum(ans, Mul(Mul(n1, n2), task2::Calc(len, len + 1)));
printf("%d\n", ans);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
inline char read() {
static const int IN_LEN = 1000000;
static char buf[IN_LEN], *s, *t;
return (s == t ? t = (s = buf) + fread(buf, 1, IN_LEN, stdin),
(s == t ? -1 : *s++) : *s++);
}
template <class T>
inline void read(T &x) {
static bool iosig;
static char c;
for (iosig = false, c = read(); !isdigit(c); c = read()) {
if (c == '-') iosig = true;
if (c == -1) return;
}
for (x = 0; isdigit(c); c = read()) x = ((x + (x << 2)) << 1) + (c ^ '0');
if (iosig) x = -x;
}
const int OUT_LEN = 10000000;
char obuf[OUT_LEN], *ooh = obuf;
inline void print(char c) {
if (ooh == obuf + OUT_LEN) fwrite(obuf, 1, OUT_LEN, stdout), ooh = obuf;
*ooh++ = c;
}
template <class T>
inline void print(T x) {
static int buf[30], cnt;
if (x == 0)
print('0');
else {
if (x < 0) print('-'), x = -x;
for (cnt = 0; x; x /= 10) buf[++cnt] = x % 10 + 48;
while (cnt) print((char)buf[cnt--]);
}
}
inline void flush() { fwrite(obuf, 1, ooh - obuf, stdout); }
const int N = 100005;
int n, k, p, ans, inv4, cnt[N], inv[N];
void divide(int x, int k) {
if (k == 1)
return (void)(++cnt[x],
ans = (ans + (long long)x * (x - 1) % p * inv4) % p);
divide(x / 2, k - 1), divide(x - x / 2, k - 1);
}
inline int calc(int x, int y) {
int ans = (long long)x * y % p * (p + 1) / 2 % p;
for (int i = 2; i <= x + y; ++i)
ans = (ans + (min(x, i - 1) - max(1, i - y) + 1ll) * (p - inv[i])) % p;
return ans;
}
int main() {
scanf("%d%d%d", &n, &k, &p), inv4 = (p + 1ll) * (p + 1) / 4 % p;
inv[1] = 1;
for (int i = 2; i <= n; ++i) inv[i] = (long long)(p - p / i) * inv[p % i] % p;
divide(n, k);
int x = 0;
for (int i = 1; i <= n; ++i)
if (cnt[i]) {
x = i;
break;
}
ans = (ans + (long long)cnt[x] * (cnt[x] - 1) / 2 % p * calc(x, x));
if (cnt[x + 1])
ans = (ans + (long long)cnt[x] * cnt[x + 1] % p * calc(x, x + 1) +
(long long)cnt[x + 1] * (cnt[x + 1] - 1) / 2 % p *
calc(x + 1, x + 1)) %
p;
return printf("%d", ans), 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
template <typename T>
inline void read(T &x) {
x = 0;
char c = getchar();
while (!isdigit(c)) c = getchar();
while (isdigit(c)) x = x * 10 + (c ^ 48), c = getchar();
}
using namespace std;
int n, K, P;
long long inv[201000], isum[201000];
inline void init() {
inv[1] = 1;
for (int i = 2; i <= max(n, 20); ++i)
inv[i] = ((P - inv[P % i] * (P / i)) % P + P) % P;
for (int i = 1; i <= max(n, 20); ++i) isum[i] = isum[i - 1] + inv[i];
}
int tmp, cnt[201000];
void dfs_find(int L, int R, int nwk) {
if (nwk == 1) {
++cnt[R - L + 1];
tmp = R - L + 1;
return;
}
if (L == R) {
++cnt[1];
tmp = 1;
return;
}
int mid = (L + R) >> 1;
dfs_find(L, mid, nwk - 1);
dfs_find(mid + 1, R, nwk - 1);
}
inline long long sol(int t, int tt) {
long long res = 0;
for (int i = 1; i <= t; ++i) {
res += isum[i + tt] - isum[i];
}
return (res % P + P) % P;
}
int main() {
read(n), read(K), read(P);
init();
if (K >= 30) {
printf("%lld\n", ((n * (n - 1) >> 1) * inv[2] % P + P) % P);
return 0;
}
dfs_find(1, n, K);
int jzp, zzz;
if (cnt[tmp - 1]) {
jzp = tmp, zzz = tmp - 1;
} else {
jzp = tmp + 1, zzz = tmp;
}
int inv2 = inv[2];
long long ans = sol(jzp, jzp) * cnt[jzp] % P * (cnt[jzp] - 1) % P * inv2 % P;
ans =
(ans + sol(zzz, zzz) * cnt[zzz] % P * (cnt[zzz] - 1) % P * inv2 % P) % P;
ans = (ans + sol(jzp, zzz) * cnt[jzp] % P * cnt[zzz] % P) % P;
ans = n * (n - 1) % P * inv[4] % P - ans;
printf("%lld\n", (ans % P + P) % P);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5 + 5;
int n, k, mod, cnt[MAXN], inv[MAXN] = {0, 1}, sum[MAXN];
int a, b, ans;
inline int read() {
int x = 0;
char ch = getchar();
while (!isdigit(ch)) ch = getchar();
while (isdigit(ch)) {
x = x * 10 + ch - '0';
ch = getchar();
}
return x;
}
inline void Add(int &x, int y) { x += y, x >= mod && (x -= mod); }
inline void prepare() {
for (int i = 2; i <= n * 2; i++)
inv[i] = mod - 1ll * mod / i * inv[mod % i] % mod;
for (int i = 1; i <= n * 2; i++) sum[i] = (sum[i - 1] + inv[i]) % mod;
}
void dfs_pre(int l, int r, int dep, int &len) {
if (dep == k || l == r) return cnt[len = r - l + 1]++, void();
int mid = (l + r) >> 1;
dfs_pre(l, mid, dep + 1, len);
dfs_pre(mid + 1, r, dep + 1, len);
}
inline int calc(int x, int y) {
int ans = 0;
for (int i = 1; i <= x; i++) Add(ans, mod + sum[i + y] - sum[i]);
return ans;
}
int main() {
n = read(), k = read(), mod = read();
if (k >= 19) {
puts("0");
return 0;
}
dfs_pre(1, n, 1, a), prepare();
if (cnt[a - 1])
b = a - 1;
else if (cnt[a + 1])
b = a + 1;
assert((cnt[a - 1] & cnt[a + 1]) == 0);
Add(ans, 1ll * calc(a, a) * cnt[a] % mod * (cnt[a] - 1) % mod * inv[2] % mod);
Add(ans, 1ll * calc(b, b) * cnt[b] % mod * (cnt[b] - 1) % mod * inv[2] % mod);
Add(ans, 1ll * calc(a, b) * cnt[a] % mod * cnt[b] % mod);
printf("%lld\n", (1ll * n * (n - 1) % mod * inv[4] % mod - ans + mod) % mod);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int MOD = 998244353;
int inv[200005];
void gen_inv(int maxa) {
inv[1] = 1;
for (int i = 2; i <= maxa; i++)
inv[i] = MOD - 1LL * inv[MOD % i] * (MOD / i) % MOD;
}
int getans(int u, int v) {
int ans = 0;
for (int i = 2; i <= u + v; i++)
ans = (ans + 1LL * (min(u, i - 1) - max(1, i - v) + 1) * inv[i]) % MOD;
return ans;
}
int main() {
int n, k;
scanf("%d%d", &n, &k);
k--;
gen_inv(2 * n);
int ans = 1LL * n * (n - 1) / 2 % MOD * inv[2] % MOD;
if (n >> k) {
int c0 = n >> k, c1 = c0 + 1;
int tot1 = n & (1 << k) - 1, tot0 = (1 << k) - tot1;
ans =
(ans - 1LL * tot0 * (tot0 - 1) / 2 % MOD * getans(c0, c0) % MOD + MOD) %
MOD;
ans =
(ans - 1LL * tot1 * (tot1 - 1) / 2 % MOD * getans(c1, c1) % MOD + MOD) %
MOD;
ans = (ans - 1LL * tot0 * tot1 % MOD * getans(c0, c1) % MOD + MOD) % MOD;
} else
ans = 0;
printf("%d\n", ans);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
inline char gc() {
static char buf[100000], *p1 = buf, *p2 = buf;
return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2)
? EOF
: *p1++;
}
inline long long read() {
long long x = 0;
char ch = getchar();
bool positive = 1;
for (; !isdigit(ch); ch = getchar())
if (ch == '-') positive = 0;
for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0';
return positive ? x : -x;
}
inline void write(long long a) {
if (a < 0) {
a = -a;
putchar('-');
}
if (a >= 10) write(a / 10);
putchar('0' + a % 10);
}
inline void writeln(long long a) {
write(a);
puts("");
}
inline void wri(long long a) {
write(a);
putchar(' ');
}
const int N = 100005;
int ycl[N], tong[N], mod, inv;
void solve(int l, int r, int dep) {
if (l == r || dep == 1) {
tong[r - l + 1]++;
return;
}
int mid = (l + r) >> 1;
solve(l, mid, dep - 1);
solve(mid + 1, r, dep - 1);
}
long long get(long long len) { return len * (len - 1) / 2 % mod * inv % mod; }
inline long long ksm(long long a, int b) {
int ans = 1;
for (; b; b >>= 1) {
if (b & 1) ans = ans * a % mod;
a = a * a % mod;
}
return ans;
}
int n, k;
long long get(long long a, long long b) {
if (a + b > n) return 0;
long long ans = 0;
for (int i = 1; i <= a; i++) {
ans = (ans + inv * b - ycl[i + b] + ycl[i]) % mod;
}
return (ans + mod) % mod;
}
int main() {
cin >> n >> k >> mod;
inv = (mod + 1) / 2;
for (int i = ycl[0] = 1; i <= n; i++)
ycl[i] = mod - (long long)ycl[mod % i] * (mod / i) % mod;
for (int i = 2; i <= n; i++) ycl[i] = (ycl[i - 1] + ycl[i]) % mod;
solve(1, n, k);
for (int i = 1; i <= n; i++)
if (tong[i]) {
cout << (get(i) * tong[i] + get(i + 1) * tong[i + 1] +
get(i, i + 1) * tong[i] % mod * tong[i + 1] +
tong[i] * (tong[i] - 1) / 2 % mod * get(i, i) +
tong[i + 1] * (tong[i + 1] - 1) / 2 % mod * get(i + 1, i + 1)) %
mod
<< endl;
return 0;
}
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
void read(int &x) {
char ch;
int fu = 1;
while ((ch = getchar()) <= 32)
;
x = 0;
if (ch == '-')
fu = -1;
else
x = ch - 48;
while ((ch = getchar()) > 32) x = x * 10 + ch - 48;
x *= fu;
}
void read(long long &x) {
char ch;
int fu = 1;
while ((ch = getchar()) <= 32)
;
x = 0;
if (ch == '-')
fu = -1;
else
x = ch - 48;
while ((ch = getchar()) > 32) x = x * 10 + ch - 48;
x *= fu;
}
const double pi = acos(-1);
void upmax(int &a, int b) {
if (a < b) a = b;
}
void upmin(int &a, int b) {
if (a > b) a = b;
}
const int N = 200220, inf = 1000000000;
int n, k, p, ans;
int a[N], inv[N], s[N];
void get(int n, int k) {
if (k == 1) {
a[n]++;
return;
}
get(n / 2, k - 1);
get((n + 1) / 2, k - 1);
}
int calc(int n, int m) {
int res = 1LL * n * m % p * inv[2] % p;
for (int i = 1; i <= m; i++) res = (res - s[n + i] + s[i]) % p;
return res;
}
int main() {
scanf("%d%d%d", &n, &k, &p);
inv[1] = 1;
for (int i = 2; i <= max(n * 2, 4); i++)
inv[i] = -1LL * inv[p % i] * (p / i) % p;
for (int i = 1; i <= n * 2; i++) s[i] = (s[i - 1] + inv[i]) % p;
get(n, k);
for (int i = 1; i <= n; i++) {
ans = (ans + 1LL * i * (i - 1) % p * inv[4] % p * a[i]) % p;
ans = (ans + 1LL * a[i] * (a[i] - 1) % p * inv[2] % p * calc(i, i)) % p;
}
for (int i = 1; i <= n; i++)
if (a[i])
for (int j = i + 1; j <= n; j++)
if (a[j]) ans = (ans + 1LL * a[i] * a[j] % p * calc(i, j)) % p;
ans = (ans + p) % p;
printf("%d\n", ans);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
template <typename T>
inline void read(T &x) {
x = 0;
char c = getchar();
while (!isdigit(c)) c = getchar();
while (isdigit(c)) x = x * 10 + (c ^ 48), c = getchar();
}
using namespace std;
int n, K, P;
long long inv[201000], isum[201000];
inline void init() {
inv[1] = 1;
for (int i = 2; i <= max(n, 20); ++i)
inv[i] = ((P - inv[P % i] * (P / i)) % P + P) % P;
for (int i = 1; i <= max(n, 20); ++i) isum[i] = isum[i - 1] + inv[i];
}
int tmp, cnt[201000];
void dfs_find(int L, int R, int nwk) {
if (nwk == 1) {
++cnt[R - L + 1];
tmp = R - L + 1;
return;
}
if (L == R) {
++cnt[1];
tmp = 1;
return;
}
int mid = (L + R) >> 1;
dfs_find(L, mid, nwk - 1);
dfs_find(mid + 1, R, nwk - 1);
}
inline long long sol(int t, int tt) {
long long res = 0;
for (int i = 1; i <= t; ++i) {
res += isum[i + tt] - isum[i];
}
return (res % P + P) % P;
}
int main() {
read(n), read(K), read(P);
init();
if (K >= 30) {
puts("0");
return 0;
}
dfs_find(1, n, K);
int jzp, zzz;
if (cnt[tmp - 1]) {
jzp = tmp, zzz = tmp - 1;
} else {
jzp = tmp + 1, zzz = tmp;
}
int inv2 = inv[2];
long long ans = sol(jzp, jzp) * cnt[jzp] % P * (cnt[jzp] - 1) % P * inv2 % P;
ans =
(ans + sol(zzz, zzz) * cnt[zzz] % P * (cnt[zzz] - 1) % P * inv2 % P) % P;
ans = (ans + sol(jzp, zzz) * cnt[jzp] % P * cnt[zzz] % P) % P;
ans = n * (n - 1) % P * inv[4] % P - ans;
printf("%lld\n", (ans % P + P) % P);
return 0;
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using std::cin;
using std::cout;
const int maxn = 100100;
int n, k, mod, inv2;
inline void reduce(int& x) { x += x >> 31 & mod; }
inline void add(int& x, int y) { x += y - mod, x += x >> 31 & mod; }
inline void sub(int& x, int y) { x -= y, x += x >> 31 & mod; }
inline void fma(int& x, int y, int z) { x = (x + (long long)y * z) % mod; }
inline void up(int& x, int y) {
if (x < y) x = y;
}
inline void down(int& x, int y) {
if (x > y) x = y;
}
template <const int* a>
inline int cmp(const int& x, const int& y) {
return a[x] < a[y];
}
std::map<int, int> map;
void solve(int l, int r, int k) {
if (l == r || k == 1) {
++map[r - l + 1];
return;
}
int mid = l + r >> 1;
solve(l, mid, k - 1);
solve(mid + 1, r, k - 1);
}
int inv[maxn];
inline int calc(int n, int m) {
long long ans = (long long)n * m % mod * inv2 % mod;
for (int i = 2; i <= n + m; ++i) {
const int L = std::max(1, i - n), R = std::min(m, i - 1);
ans = (ans - (long long)(R - L + 1) * inv[i]) % mod;
}
return ans + (ans >> 63 & mod);
}
inline void print(int x) {
for (int i = 1; i <= 1000; ++i) {
if ((long long)x * i % mod <= 1000) {
cout << (long long)x * i % mod << '/' << i << std::endl;
return;
}
}
}
int main() {
std::ios::sync_with_stdio(false), cin.tie(0);
cin >> n >> k >> mod, inv2 = mod + 1 >> 1;
inv[1] = 1;
for (int i = 2; i <= n; ++i) {
inv[i] = long long(mod - mod / i) * inv[mod % i] % mod;
}
solve(1, n, k);
int ans = 0;
for (auto i : map) {
fma(ans, i.second, i.first * (i.first - 1ull) / 2 % mod * inv[2] % mod);
}
for (auto i = map.begin(); i != map.end(); ++i) {
for (auto j = map.begin(); j != i; ++j) {
ans = (ans + (long long)i->second * j->second % mod *
calc(i->first, j->first)) %
mod;
}
}
cout << ans << '\n';
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
int i, j, n, k, mo, rev[N], a[N], num, d[N], s[N], l, r;
long long ans;
void work(int l, int r, int k) {
if (k <= 1 || l == r) {
a[++num] = r - l + 1;
return;
}
int m = (l + r) >> 1;
work(l, m, k - 1), work(m + 1, r, k - 1);
}
int calc(int a, int b) {
int i;
long long S = (long long)a * b % mo;
for (i = 1; i <= a; i++) S -= s[i + b] - s[i];
return S;
}
int main() {
scanf("%d%d%d", &n, &k, &mo);
rev[0] = rev[1] = 1;
for (i = 2; i <= n; i++) rev[i] = (long long)(mo - mo / i) * rev[mo % i] % mo;
for (i = 1; i <= n; i++) s[i] = (s[i - 1] + rev[i]) % mo;
for (i = 1; i <= n; i++) s[i] <<= 1;
work(1, n, k);
for (i = 1; i <= num; i++) d[a[i]]++;
for (i = 1; i <= n; i++)
if (d[i]) l = !l ? i : l, r = i;
for (i = l; i <= r; i++)
ans += ((long long)i * (i - 1) / 2 % mo * d[i] +
(long long)d[i] * (d[i] - 1) / 2 % mo * calc(i, i)) %
mo;
if (l != r) ans += (long long)d[l] * d[r] % mo * calc(l, r) % mo;
ans = ans % mo * (mo + 1) / 2 % mo;
printf("%lld\n", (ans + mo) % mo);
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
long long mod = 998244353;
const long long N = 1e5 + 5;
inline long long read() {
long long x = 0, f = 1;
char ch = getchar();
while ((ch > '9' || ch < '0')) {
if (ch == '-') f = -1;
ch = getchar();
}
while ('0' <= ch && ch <= '9') x = x * 10 + (ch ^ 48), ch = getchar();
return x * f;
}
inline long long ksm(long long x, long long y = mod - 2, long long z = mod) {
long long ret = 1;
while (y) {
if (y & 1LL) ret = ret * x % mod;
x = x * x % mod;
y >>= 1LL;
}
return ret;
}
long long inv[N], sum[N];
void init(long long n) {
inv[1] = 1;
for (register signed i = 2; i <= n; i++)
inv[i] = inv[mod % i] * (mod - mod / i) % mod;
for (register signed i = 1; i <= n; i++) sum[i] = sum[i - 1] + inv[i];
}
long long k, n, ans;
map<long long, long long> S;
void MS(long long l, long long r, long long h) {
if (h == k || l == r) {
S[r - l + 1]++;
return;
}
long long mid = (l + r) >> 1;
MS(l, mid, h + 1);
MS(mid + 1, r, h + 1);
}
long long calc(long long x, long long y) {
long long res = x * y % mod;
for (register signed i = 1; i <= x; ++i) res -= (sum[i + y] + sum[i]) * 2;
return res % mod;
}
signed main() {
n = read();
k = read();
mod = read();
init(n);
MS(1, n, 1);
for (map<long long, long long>::iterator X = S.begin(); X != S.end(); X++) {
long long x = X->first, y = X->second;
ans += x * (x - 1) % mod * inv[2] % mod * y % mod;
ans %= mod;
ans += y * (y - 1) % mod * inv[2] % mod * calc(x, x) % mod;
ans %= mod;
}
for (map<long long, long long>::iterator X = S.begin(); X != S.end(); X++)
for (map<long long, long long>::iterator Y = S.begin(); Y != S.end(); Y++) {
long long x = X->first, y = Y->first, a = X->second, b = Y->second;
if (x >= y) continue;
ans += calc(x, y) * a % mod * b % mod;
ans %= mod;
}
ans = ans * inv[2] % mod;
ans += mod;
ans %= mod;
cout << ans << '\n';
}
|
1081_G. Mergesort Strikes Back | Chouti thought about his very first days in competitive programming. When he had just learned to write merge sort, he thought that the merge sort is too slow, so he restricted the maximum depth of recursion and modified the merge sort to the following:
<image>
Chouti found his idea dumb since obviously, this "merge sort" sometimes cannot sort the array correctly. However, Chouti is now starting to think of how good this "merge sort" is. Particularly, Chouti wants to know for a random permutation a of 1, 2, …, n the expected number of inversions after calling MergeSort(a, 1, n, k).
It can be proved that the expected number is rational. For the given prime q, suppose the answer can be denoted by u/d where gcd(u,d)=1, you need to output an integer r satisfying 0 ≤ r<q and rd ≡ u \pmod q. It can be proved that such r exists and is unique.
Input
The first and only line contains three integers n, k, q (1 ≤ n, k ≤ 10^5, 10^8 ≤ q ≤ 10^9, q is a prime).
Output
The first and only line contains an integer r.
Examples
Input
3 1 998244353
Output
499122178
Input
3 2 998244353
Output
665496236
Input
9 3 998244353
Output
449209967
Input
9 4 998244353
Output
665496237
Note
In the first example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1].
With k=1, MergeSort(a, 1, n, k) will only return the original permutation. Thus the answer is 9/6=3/2, and you should output 499122178 because 499122178 × 2 ≡ 3 \pmod {998244353}.
In the second example, all possible permutations are [1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1] and the corresponding outputs of MergeSort(a, 1, n, k) are [1,2,3],[1,2,3],[2,1,3],[1,2,3],[2,3,1],[1,3,2] respectively. Thus the answer is 4/6=2/3, and you should output 665496236 because 665496236 × 3 ≡ 2 \pmod {998244353}. | {
"input": [
"3 2 998244353\n",
"9 3 998244353\n",
"3 1 998244353\n",
"9 4 998244353\n"
],
"output": [
"665496236\n",
"449209967\n",
"499122178\n",
"665496237\n"
]
} | {
"input": [
"53812 4 967428361\n",
"7 2 400166453\n",
"75727 16 485722667\n",
"65536 10 802338989\n",
"65535 12 196344479\n",
"5000 4 961162523\n",
"13694 5 579788161\n",
"99999 14 746231791\n",
"14823 8 622667251\n",
"65536 1 262776883\n",
"65535 4 585040979\n",
"1 2 932173633\n",
"65535 13 543456539\n",
"56907 7 653135281\n",
"65535 16 589256509\n",
"79602 9 341282581\n",
"65535 15 148502831\n",
"91299 13 883710911\n",
"65536 7 999999937\n",
"65535 3 200770211\n",
"4558 9 768001957\n",
"78790 14 947580449\n",
"11045 4 779484089\n",
"65536 7 474924587\n",
"100000 1 327496733\n",
"7 4 674998729\n",
"93705 8 728681249\n",
"65535 7 775068599\n",
"93014 3 464769397\n",
"65536 9 512750233\n",
"65536 8 624488609\n",
"2 2 105534269\n",
"4 2 717931793\n",
"29670 1 798626077\n",
"1 100000 355399153\n",
"4866 5 828460181\n",
"5000 3 947484677\n",
"4862 11 340369703\n",
"67260 11 159230609\n",
"96560 6 621206447\n",
"6 4 142235399\n",
"319 6 736338271\n",
"99999 4 721319531\n",
"5000 5000 824957897\n",
"95449 16 477786341\n",
"65536 4 530056207\n",
"5 2 488196377\n",
"99999 10 201673531\n",
"8 2 401001541\n",
"65536 2 547031129\n",
"65535 6 100000007\n",
"87440 14 373345151\n",
"99999 5 950991961\n",
"65535 10 764125471\n",
"39062 3 557718113\n",
"100000 4 866430809\n",
"99999 7 612486629\n",
"65610 7 576223171\n",
"3 3 537728333\n",
"79173 7 329778431\n",
"19679 2 978579983\n",
"65535 1 969378797\n",
"8 4 617453693\n",
"99999 2 594212063\n",
"99999 3 538530137\n",
"99999 15 385602223\n",
"65535 2 332622313\n",
"31581 2 803297119\n",
"65536 16 307380313\n",
"5 4 294228373\n",
"12657 1 328355033\n",
"4 3 691608353\n",
"65536 17 355422121\n",
"2 3 738541207\n",
"68102 2 409693891\n",
"65535 14 379941571\n",
"65536 12 883299773\n",
"59614 14 431666281\n",
"99999 11 739822453\n",
"20621 4 420701179\n",
"65536 14 292184353\n",
"23880 14 515153497\n",
"99999 8 616151843\n",
"33727 15 177545087\n",
"8 3 930233189\n",
"65536 6 526215803\n",
"9292 12 386116849\n",
"3 2 457143689\n",
"5 3 698057369\n",
"64554 13 711786883\n",
"99999 18 278747437\n",
"6 3 706327789\n",
"6 2 126580711\n",
"100000 3 372547751\n",
"99999 17 222262553\n",
"7 3 957060541\n",
"99999 6 769267349\n",
"58791 1 627994511\n",
"92275 9 505206379\n",
"65535 9 939195329\n",
"65535 8 629794369\n",
"65536 11 506680939\n",
"99999 1 501051697\n",
"5000 2 444286949\n",
"99999 12 608975467\n",
"99999 16 424240459\n",
"65535 5 492219967\n",
"9569 7 974022443\n",
"100000 2 330782867\n",
"65536 5 347538067\n",
"99999 9 543989543\n",
"93976 8 747153793\n",
"42288 6 367611719\n",
"100000 100000 658399519\n",
"65536 3 759400619\n",
"65536 13 543490043\n",
"99999 13 838056061\n",
"65535 6 563701807\n",
"65535 17 131827369\n",
"1 1 807831149\n",
"65536 15 568071787\n",
"65535 11 390043253\n",
"58370 15 756534617\n",
"74973 12 872697443\n"
],
"output": [
"950881274\n",
"37158321\n",
"166058860\n",
"462855383\n",
"7405077\n",
"935148925\n",
"20837734\n",
"534083991\n",
"282687828\n",
"22617908\n",
"73478343\n",
"0\n",
"170536956\n",
"367828981\n",
"362272581\n",
"15283453\n",
"46429722\n",
"238048909\n",
"195101941\n",
"26568059\n",
"338635790\n",
"804769289\n",
"766560946\n",
"244871950\n",
"207497869\n",
"0\n",
"90464274\n",
"580904942\n",
"3096497\n",
"56371267\n",
"456424095\n",
"0\n",
"59827651\n",
"619382846\n",
"0\n",
"236115936\n",
"453430334\n",
"187513462\n",
"38214063\n",
"336730170\n",
"0\n",
"133698563\n",
"482453887\n",
"0\n",
"181225428\n",
"175616225\n",
"455649955\n",
"6497465\n",
"108365903\n",
"68232417\n",
"19616415\n",
"58174995\n",
"236965854\n",
"44493100\n",
"311741364\n",
"315155497\n",
"160702769\n",
"475692890\n",
"0\n",
"112881569\n",
"166411803\n",
"589003274\n",
"0\n",
"241186421\n",
"420705596\n",
"286320285\n",
"23332505\n",
"335334542\n",
"210721421\n",
"0\n",
"40046748\n",
"0\n",
"0\n",
"0\n",
"248567049\n",
"364848655\n",
"385022293\n",
"382826545\n",
"286705678\n",
"289746143\n",
"211044160\n",
"28372663\n",
"506564910\n",
"137396822\n",
"465116600\n",
"158448501\n",
"339357599\n",
"304762460\n",
"1\n",
"501856006\n",
"0\n",
"529745844\n",
"61180682\n",
"341122978\n",
"24806593\n",
"239265139\n",
"537638613\n",
"550083467\n",
"372045131\n",
"374972142\n",
"563763277\n",
"206613192\n",
"245192364\n",
"161627985\n",
"317105066\n",
"81192002\n",
"1097877\n",
"297115301\n",
"20709968\n",
"50947333\n",
"330542468\n",
"239386990\n",
"235655808\n",
"0\n",
"725177449\n",
"510005251\n",
"772746099\n",
"478190145\n",
"0\n",
"0\n",
"2593916\n",
"2137720\n",
"174119749\n",
"741474461\n"
]
} | IN-CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
inline char gc() {
static char buf[100000], *p1 = buf, *p2 = buf;
return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2)
? EOF
: *p1++;
}
inline long long read() {
long long x = 0;
char ch = getchar();
bool positive = 1;
for (; !isdigit(ch); ch = getchar())
if (ch == '-') positive = 0;
for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0';
return positive ? x : -x;
}
inline void write(long long a) {
if (a < 0) {
a = -a;
putchar('-');
}
if (a >= 10) write(a / 10);
putchar('0' + a % 10);
}
inline void writeln(long long a) {
write(a);
puts("");
}
inline void wri(long long a) {
write(a);
putchar(' ');
}
const int N = 100005;
int ycl[N], tong[N], mod, inv;
void solve(int l, int r, int dep) {
if (l == r || dep == 1) {
tong[r - l + 1]++;
return;
}
int mid = (l + r) >> 1;
solve(l, mid, dep - 1);
solve(mid + 1, r, dep - 1);
}
long long get(long long len) { return len * (len - 1) / 2 % mod * inv % mod; }
inline long long ksm(long long a, int b) {
int ans = 1;
for (; b; b >>= 1) {
if (b & 1) ans = ans * a % mod;
a = a * a % mod;
}
return ans;
}
long long get(long long a, long long b) {
long long ans = 0;
for (int i = 1; i <= a; i++) {
ans = (ans + inv * b - ycl[i + b] + ycl[i]) % mod;
}
return (ans + mod) % mod;
}
int main() {
int n, k;
cin >> n >> k >> mod;
inv = (mod + 1) / 2;
for (int i = 1; i <= n; i++) ycl[i] = (ycl[i - 1] + ksm(i, mod - 2)) % mod;
solve(1, n, k);
for (int i = 1; i <= n; i++)
if (tong[i]) {
cout << (get(i) * tong[i] + get(i + 1) * tong[i + 1] +
get(i, i + 1) * tong[i] % mod * tong[i + 1] +
tong[i] * (tong[i] - 1) / 2 % mod * get(i) +
tong[i + 1] * (tong[i + 1] - 1) / 2 % mod * get(i + 1)) %
mod
<< endl;
return 0;
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
A = []
for i in range(n):
A = A+[input().split()]
for a in A:
if int(a[2]) < int(a[0]) or int(a[2]) > int(a[1]):
print(a[2])
else:
print(int(a[2])*(int(a[1])//int(a[2])+1))
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
OutputWriter out = new OutputWriter(outputStream);
TaskA solver = new TaskA();
solver.solve(1, in, out);
out.close();
}
static class TaskA {
public void solve(int testNumber, InputReader in, OutputWriter out) {
int q = in.nextInt();
for (int i = 0; i < q; i++) {
long li = in.nextInt();
long ri = in.nextInt();
long di = in.nextInt();
if (di < li) {
out.println(di);
} else {
long v = (ri + di) / di;
v = v * di;
out.println(v);
}
}
}
}
static class OutputWriter {
private final PrintWriter writer;
public OutputWriter(OutputStream outputStream) {
writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
}
public OutputWriter(Writer writer) {
this.writer = new PrintWriter(writer);
}
public void close() {
writer.close();
}
public void println(long i) {
writer.println(i);
}
}
static class InputReader {
private InputStream stream;
private byte[] buf = new byte[1024];
private int curChar;
private int numChars;
private InputReader.SpaceCharFilter filter;
public InputReader(InputStream stream) {
this.stream = stream;
}
public int read() {
if (numChars == -1) {
throw new InputMismatchException();
}
if (curChar >= numChars) {
curChar = 0;
try {
numChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (numChars <= 0) {
return -1;
}
}
return buf[curChar++];
}
public int readInt() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
int res = 0;
do {
if (c < '0' || c > '9') {
throw new InputMismatchException();
}
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
public boolean isSpaceChar(int c) {
if (filter != null) {
return filter.isSpaceChar(c);
}
return isWhitespace(c);
}
public static boolean isWhitespace(int c) {
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
}
public int nextInt() {
return readInt();
}
public interface SpaceCharFilter {
public boolean isSpaceChar(int ch);
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import math
for _ in range(int(input())):
l,r,d = map(int,input().split())
if l>d:
print(d)
elif r<d:
print(d)
elif r==d:
print(d*2)
elif r%d !=0:
print(math.ceil(r/d)*d)
else:
print(r+d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
public class codeforces
{
public static void main( String[] args ) throws IOException
{
Reader.init(System.in);
int query = Reader.nextInt();
for( int q =0 ; q < query ; q++ )
{
long l = Reader.nextLong();
long r = Reader.nextLong();
long d = Reader.nextLong();
long res = 0;
if ( d == 1 && l != 1 )
{
System.out.println(1);
}
else if ( d < l || d > r)
{
System.out.println(d);
}
else
{
long r1 = ((r/d)+1)*d;
System.out.println(r1);
}
}
}
}
class Reader
{
static BufferedReader reader;
static StringTokenizer tokenizer;
static void init(InputStream input)
{
reader = new BufferedReader(new InputStreamReader(input) );
tokenizer = new StringTokenizer("");
}
static String next() throws IOException
{
while ( ! tokenizer.hasMoreTokens() )
{
//TODO add check for eof if necessary
tokenizer = new StringTokenizer(reader.readLine() );
}
return tokenizer.nextToken();
}
static int nextInt() throws IOException
{
return Integer.parseInt( next() );
}
static double nextDouble() throws IOException
{
return Double.parseDouble( next() );
}
static long nextLong() throws IOException
{
return Long.parseLong( next() );
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 |
for k in range(int(input())):
l,r,d = map(int,input().split())
if d==1:
if l==1:
print(r+1)
else:
print(1)
else:
if l>=d:
if l%d==0:
if l//d>1:
print(d)
else:
print(((r//d)+1)*d)
else:
print(d)
else:
print(((r//d)+1)*d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
long long f[1000001];
long long pow(long long a, long long b, long long MOD) {
long long x = 1, y = a;
while (b > 0) {
if (b % 2 == 1) {
x = (x * y);
if (x > MOD) x %= MOD;
}
y = (y * y);
if (y > MOD) y %= MOD;
b /= 2;
}
return x;
}
long long InverseEuler(long long n, long long MOD) {
return pow(n, MOD - 2, MOD);
}
long long C(long long n, long long r, long long MOD) {
return (f[n] *
((InverseEuler(f[r], MOD) * InverseEuler(f[n - r], MOD)) % MOD)) %
MOD;
}
int main() {
int q;
cin >> q;
while (q--) {
long long l, r, d;
cin >> l >> r >> d;
long long ans1 = d;
long long y = r / d;
long long ans2 = (y + 1) * d;
if (d >= l)
cout << ans2 << endl;
else
cout << ans1 << endl;
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int l, r, d, n;
int main() {
ios::sync_with_stdio(false);
cin >> n;
while (n--) {
cin >> l >> r >> d;
if (d > r || d < l) {
cout << d << endl;
continue;
}
cout << d * (r / d + 1) << endl;
}
return 0;
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | t = int(input())
for i in range(t):
l, r, d = map(int, input().split())
if l > d:
print(d)
else:
print(((r+d)//d) * d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | def func(l,r,d):
if l<=d:
print((r//d+1)*d)
else:
print(d)
def main():
count=int(input())
for _ in range(count):
arr=input().split()
func(int(arr[0]),int(arr[1]),int(arr[2]))
main()
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for i in range(q):
inputs = input().split()
l = int(inputs[0])
r = int(inputs[1])
d = int(inputs[2])
if l>d:
print(d)
else:
x = r//d
print(d*(x+1))
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.Scanner;
import java.io.IOException;
public class Minimum_Integer
{
public static int getResult(int l,int r,int d)throws IOException
{
if(l==d || (l<d && r>=d))
return ((r/d)+1)*d;
else
return d;
}
public static void main(String args[])throws IOException
{
Scanner sc=new Scanner(System.in);
int q = sc.nextInt();
int i;
for(i=1;i<=q;i++)
{
int l=sc.nextInt();
int r=sc.nextInt();
int d=sc.nextInt();
System.out.println(getResult(l,r,d));
}
sc.close();
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n= int(input())
for i in range(n):
a,b,c = map(int,input().split())
if c>b:
print(c)
elif c<a:
print(c)
else:
print(((b//c)+1)*c) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
for i in range(n):
l,r,d = map(int,input().split())
'''a = l // d
b = r // d
ans1 = a*d
ans2 = b*d
if ans1 < l and ans1 != 0:
print(ans1)
else:
if ans2 > r:
print(ans2)
else:
print(ans2+d)
'''
if d < l:
print(d)
else:
print((r//d+1)*d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
const long long N = 1e5, N2 = 2e5, N1 = 1e6, M = 1e2;
long long binpow(long long a, long long n) {
long long ans = 1;
while (n) {
if (n & 1) ans *= a;
a *= a;
n >>= 1;
}
return ans;
}
string s, s1, s2;
long long n, m, t, x, y, z;
long long k, k1, k2, g, g1, g2, ans, kol, kol1;
char c;
long long mxx = 0, mxy = 0;
int main() {
cin.tie(0);
cin >> t;
while (t--) {
long long l, r, d;
cin >> l >> r >> d;
long long d1 = d;
if (d < l)
cout << d << endl;
else if (r % d == 0)
cout << r + d << endl;
else {
cout << d * (r / d + 1) << endl;
}
}
return 0;
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import sys
q = int(input())
for i in range(q):
l, r, d = map(int, sys.stdin.readline().split())
ans = 0
if l > d:
ans = d
else:
ans = r + d - r%d
print(ans)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
bool com(long long a, long long b) { return a < b; }
int main() {
long long t;
cin >> t;
while (t--) {
long long l, r, d;
cin >> l >> r >> d;
if (d < l)
cout << d << "\n";
else {
if (r % d == 0)
cout << r + d << "\n";
else
cout << r + d - (r % d) << "\n";
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python2 | q = int(raw_input())
for _ in xrange(q):
l,r,d = map(int,raw_input().split())
if l/d > 0 and l> d:
print d
else:
print ((r/d)+1)*d |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
long long gcd(long long a, long long b) {
if (b == 0) return a;
return gcd(b, a % b);
}
int main() {
int q;
cin >> q;
while (q--) {
long long a, b, c;
cin >> a >> b >> c;
long long ans;
if (b % c == 0)
ans = b + c;
else {
ans = ((b / c) + 1) * c;
}
if (c < a && c > 0) ans = min(ans, c);
cout << ans << "\n";
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for u in range(int(input())):
l,r,d=map(int,input().split())
if(d<l):
print(d)
elif(d>=l and d<=r):
print((r//d+1)*d)
elif(d>r):
print(d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
for i in range(n):
l,r,d = map(int, input().strip().split())
if d < l:
print(d)
else:
print((r // d + 1) * d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int main() {
int q;
cin >> q;
while (q--) {
long long int l, r, d;
cin >> l >> r >> d;
if (l / d == 0) {
long long int x = r / d;
cout << (x + 1) * d << endl;
} else if (l / d == 1 && l % d == 0) {
cout << (r / d + 1) * d << endl;
} else
cout << d << endl;
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for i in range(q):
entrada = list(map(int,input().split()))
if (entrada[2]) < (entrada[0]):
print(entrada[2])
else:
saida = ((entrada[1]) // (entrada[2]) + 1)
print(saida*(entrada[2]))
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | from sys import stdin
q = int(stdin.readline())
for i in range(q):
R = lambda: map(int, stdin.readline().split())
l, r, d = R()
small = (l-1) // d
large = r // d
if small * d < l and small * d > 0:
print(d)
else:
print((large + 1) * d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int main() {
int q;
scanf("%d", &q);
while (q--) {
int l, r, d;
scanf("%d %d %d", &l, &r, &d);
if (d < l)
printf("%d\n", d);
else if (d > r)
printf("%d\n", d);
else {
int res = r - d;
res = res % d;
printf("%d\n", r + d - res);
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.Scanner;
public class MinimumInteger {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int wh = sc.nextInt();
while(wh > 0) {
int li = sc.nextInt(), ri = sc.nextInt(), div = sc.nextInt();
if(li > div || ri < div) {
System.out.println(div);
wh--;
continue;
}
System.out.println(div * (ri/div + 1));
wh--;
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | // package CF;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;
public class ecf {
public static void main(String[] args) {
in = new FastReader();
int q=ni();
while (q-->0){
int l=ni();
int r=ni();
int d=ni();
long p;
{
int min = (int) ((double) r / (double) d);
long ans = min * d;
if (ans <= r) {
min++;
ans = min * d;
}
p=ans;
}
{
int min = (int) ((double) l / (double) d);
long ans = min * d;
if (ans >= l) {
min--;
ans = min * d;
}
if (ans>0){
p=Math.min(p,ans);
}
if (d<l){
p=d;
}
}
System.out.println(p);
}
}
public static long binarySearch(long low, long high) {
while (high - low > 1) {
long mid = (high - low)/2 + low;
//System.out.println(mid);
if (works(mid)) {
high = mid;
} else {
low = mid;
}
}
return (works(low) ? low : high);
}
private static String toString(List<Integer> list) {
StringBuilder result = new StringBuilder();
for(int x : list) {
result.append(x + " ");
}
return result.toString();
}
// static long ncr(int n,int r)
// {
// if(n<0 || r<0 || n<r)
// return 0;
// return nCr[n][r];
// }
public static void sortbyColumn(int arr[][], int col)
{
//this method is taken from geeks for geeks
// Using built-in sort function Arrays.sort
Arrays.sort(arr, new Comparator<int[]>() {
@Override
// Compare values according to columns
public int compare(final int[] entry1,
final int[] entry2) {
// To sort in descending order revert
// the '>' Operator
if (entry1[col] > entry2[col])
return 1;
else
return -1;
}
}); // End of function call sort().
}
private static Set<Integer> getPrime(int value) {
Set<Integer> set = new HashSet<>();
for (int i = 2;i * i <= value;i ++) {
if (value % i == 0) {
while (value % i == 0) {
value /= i;
}
set.add(i);
}
}
if (value > 1) {
set.add(value);
}
return set;
}
static class Graph{
ArrayList<Integer> al_array[];
int nodes;
Graph(int no){
this.nodes=no;
this.al_array=new ArrayList[no];
for (int i=0;i<no;i++){
al_array[i]=new ArrayList<>();
}
}
void addDir(int i,int j){
this.al_array[i].add(j);
}
void addUndir(int i,int j){
this.al_array[i].add(j);
this.al_array[j].add(i);
}
Graph compliment(){
Graph com=new Graph(this.nodes);
for (int i=0;i<this.nodes;i++){
ArrayList<Integer> al=this.al_array[i];
for (int j=0;j<al.size();j++){
int node=al.get(j);
com.addDir(node,i);
}
}
return com;
}
}
static void printLN2DArray(int[][] arr){
StringBuilder sb=new StringBuilder();
for (int i=0;i<arr.length;i++){
for (int j=0;j<arr[i].length;j++){
sb.append(arr[i][j]).append(" ");
}
sb.append("\n");
}
System.out.println(sb.toString());
}
static long fast_exp_with_mod(long base, long exp) {
long MOD=1000000000+7;
long res=1;
while(exp>0) {
if(exp%2==1) res=(res*base)%MOD;
base=(base*base)%MOD;
exp/=2;
}
return res%MOD;
}
public static long gcd(long a, long b)
{
if (a == 0)
return b;
return gcd(b%a, a);
}
static class my_no{
long num;
long denom;
@Override
public String toString() {
if (denom<0){
this.num=-this.num;
this.denom=-this.denom;
}
if (num==0)return "0";
return (num+"/"+denom);
}
my_no(int no){
this.num=no;
this.denom=1;
}
my_no(long num,long denom){
this.num=num;
this.denom=denom;
}
my_no multiply(my_no obj){
long num1=obj.num;
long denom1=obj.denom;
long n=num1*num;
long d=denom1*denom;
long gcd=gcd(n,d);
n/=gcd;
d/=gcd;
return new my_no(n,d);
}
// my_no multiply(my_no obj){
// long num1=obj.num;
// long denom1=obj.denom;
// long num2=this.num;
// long denom2=this.denom;
//
// }
my_no multiply(int no){
long n=num*no;
long d=denom;
long gcd=gcd(n,d);
n/=gcd;
d/=gcd;
return new my_no(n,d);
}
}
static void memset(int[][] arr,int val){
for (int i=0;i<arr.length;i++){
for (int j=0;j<arr[i].length;j++){
arr[i][j]=val;
}
}
}
static void memset(int[] arr,int val){
for (int i=0;i<arr.length;i++){
arr[i]=val;
}
}
static void memset(long[][] arr,long val){
for (int i=0;i<arr.length;i++){
for (int j=0;j<arr[i].length;j++){
arr[i][j]=val;
}
}
}
static void memset(long[] arr,long val){
for (int i=0;i<arr.length;i++){
arr[i]=val;
}
}
static private boolean works(long test){
return true;
}
static void reverse(char[] arr ,int i,int j){
if (i==j)
return;
while (i<j){
char temp=arr[i];
arr[i]=arr[j];
arr[j]=temp;
++i;
--j;
}
}
static int[] takeIntegerArrayInput(int no){
int[] arr=new int[no];
for (int i=0;i<no;++i){
arr[i]=ni();
}
return arr;
}
static long fast_Multiply(long no , long pow){
long result=1;
while (pow>0){
if ((pow&1)==1){
result=result*no;
}
no=no*no;
pow>>=1;
}
return result;
}
static long[] takeLongArrayInput(int no){
long[] arr=new long[no];
for (int i=0;i<no;++i){
arr[i]=ni();
}
return arr;
}
static final long MOD = (long)20011;
static FastReader in;
static void p(Object o){
System.out.print(o);
}
static void pn(Object o){
System.out.println(o);
}
static String n(){
return in.next();
}
static String nln(){
return in.nextLine();
}
static int ni(){
return Integer.parseInt(in.next());
}
static int[] ia(int N){
int[] a = new int[N];
for(int i = 0; i<N; i++)a[i] = ni();
return a;
}
static long[] la(int N){
long[] a = new long[N];
for(int i = 0; i<N; i++)a[i] = nl();
return a;
}
static long nl(){
return Long.parseLong(in.next());
}
static double nd(){
return Double.parseDouble(in.next());
}
static class FastReader{
BufferedReader br;
StringTokenizer st;
public FastReader(){
br = new BufferedReader(new InputStreamReader(System.in));
}
String next(){
while (st == null || !st.hasMoreElements()){
try{
st = new StringTokenizer(br.readLine());
}catch (IOException e){
e.printStackTrace();
}
}
return st.nextToken();
}
String nextLine(){
String str = "";
try{
str = br.readLine();
}catch (IOException e){
e.printStackTrace();
}
return str;
}
}
static void println(String[] arr){
for (int i=0;i<arr.length;++i){
System.out.println(arr[i]);
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | /* package codechef; // don't place package name! */
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
public static void main (String[] args) throws java.lang.Exception
{
try {
BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
int t=Integer.parseInt(br.readLine());
while(t-->0){
String s[]=br.readLine().split(" ");
int l=Integer.parseInt(s[0]);
int r=Integer.parseInt(s[1]);
int d=Integer.parseInt(s[2]);
int ans=0;
boolean flag=false;
if(d>r || d<l)
System.out.println(d);
else{
System.out.println((r/d+1)*d);
}
}
} catch(Exception e) {
return;}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int main() {
int q;
cin >> q;
while (q--) {
long long int l, r, d;
cin >> l >> r >> d;
long long int ans, i, flag = 1;
if (d < l)
ans = d;
else if (r % d == 0) {
ans = (ceil((long double)r / d) + 1) * d;
} else {
ans = ceil((long double)r / d) * d;
}
cout << ans << endl;
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q=int(input())
for i in range(q):
l,r,d=map(int,input().split())
k=1
x=0
if (d<l)or(d>r):
print(d)
else:
kol=r//d+1
print(d*kol)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | t=int(input())
while t>0:
l,r,d=[int(x) for x in input().split()]
if(d<l or d>r):
print(d)
else:
print(((r//d)*d)+d)
t-=1 |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 |
n=int(input())
while n!=0:
n=n-1
str_len=input()
l=int(str_len.split(' ')[0])
r = int(str_len.split(' ')[1])
d = int(str_len.split(' ')[2])
# l=int(input())
# r=int(input())
# d=int(input())
if d not in range(l,r+1):
print(d)
else:
print(int(int((r/d+1))*d)) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | from math import *
q = int(input())
print()
for i in range(q):
s = input()
left, r, d = s.split() # split string input
left = float(left)
r = float(r)
d = float(d)
if (left / d) > 1 or (r / d) < 1:
print(int(d))
else:
print(int(d * (floor(r / d) + 1)))
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for i in range(q):
l, r, d = map(int, input().split())
if d < l:
print(d)
else:
print(r + d - r % d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.*;
public class A{
public static void main(String args[]){
Scanner sc=new Scanner(System.in);
int q=sc.nextInt();
for(int i=0;i<q;i++){
int l=sc.nextInt(),r=sc.nextInt();
int d=sc.nextInt();
if(d<l){
System.out.println(d);
}
else{
System.out.println(r+d-(r%d));
}
}
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for _ in range(int(input())):
a,b,c = map(int, input().split())
print(c if c < a else (b//c+1)*c)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for _ in range(int(input())):
l,r,d = map(int,input().split())
if l>d or r<d:
print(d)
else:
t = r//d
print((t+1)*d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int main() {
long long n;
cin >> n;
while (n--) {
long long l, r, k;
cin >> l >> r >> k;
if (r - k <= r - l && k <= r) {
cout << r + k - (r % k) << endl;
} else {
cout << k << endl;
}
}
return 0;
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | rd = lambda: list(map(int, input().split()))
for _ in range(rd()[0]):
l, r, d = rd()
print(d if not (l <= d <= r) else r // d * d + d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | # int(input())
# [int(s) for s in input().split()]
# input()
def solve():
q = int(input())
for i in range(q):
l, r, d = [int(s) for s in input().split()]
if d < l:
print(d)
else:
print(r+(d-r%d))
if __name__ == "__main__":
solve() |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for i in range(q):
l, r, d = map(int, input().split())
if d < l or d > r:
print(d)
else:
print((r//d)*d+d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
using namespace std;
int main() {
int num, l, r, d, x;
x = 0;
cin >> num;
for (int i = 0; i < num; i++) {
cin >> l >> r >> d;
x = d;
while (true) {
if (x <= r && x >= l) {
x = ceil((double)r / d) * d;
if (x == r) x += d;
break;
} else
break;
}
cout << x << endl;
}
return 0;
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for t in range(int(input())):
l,r,d=map(int,input().split())
if d<l:
print(d)
else:
print(((r//d)+1)*d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import sys
input = sys.stdin.readline
q = int(input())
for _ in range(q):
l, r, d = map(int, input().split())
if d < l:
print(d)
else:
print(r // d * d + d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.*;
public class om
{
public static void main(String[]st)
{
Scanner scan=new Scanner(System.in);
long q,i;
long div,start,end,x;
q=scan.nextLong();
while(q!=0)
{
start=scan.nextLong();
end=scan.nextLong();
x=scan.nextLong();
if(x < start)
div=x;
else
{
div=end/x + 1;
div=div*x;
}
System.out.println(""+div);
q--;
}
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import math as mt
import sys, string
from collections import Counter, defaultdict
input = sys.stdin.readline
# input functions
I = lambda : int(input())
M = lambda : map(int, input().split())
ARR = lambda: list(map(int, input().split()))
def printARR(arr):
for e in arr:
print(e, end=" ")
print()
def main():
l, r, d = M()
if d < l:
print(d)
else:
ans = (r+(d-r%d))
print(ans)
tc = 1
tc = I()
for _ in range(tc):
main() |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | t=int(input())
for i in range(t):
s=list(map(int,input().split(" ")))
l=s[0]
r=s[1]
d=s[2]
if(d<l):
print(d)
else:
k=(r+1)//d
rm=(r+1)%d
#print(k)
if(rm==0):
print(r+1)
else:
print((k+1)*d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | t=int(input())
for i in range(t):
a,b,c=map(int,input().split())
if c<a or c>b:
print(c)
else:
d=b//c
print(c*(d+1)) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | def read():
return int(input())
def reads():
return [int(x) for x in input().split()]
N=int(input())
table=[]
for i in range(N):
l,r,d=reads()
table.append((l,r,d))
for l,r,d in table:
if d<l:
print(d)
else:
print((r//d + 1)*d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for i in range(int(input())):
l, r, d = [int(x) for x in input().split()]
print(d if d < l else r - (r % d) + d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for i in range(int(input())) :
l,r,d = map(int,input().split())
if l > d:
print(d)
else :
j=r-r%d+d
print(j) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for k in range(q):
l, r, d = map(int, input().split())
if d < l:
print(d)
else:
print(r + d - r%d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
result = []
for _ in range(q):
l, r, d = map(int, input().strip().split())
# between l and r
if d < l or d > r:
result.append(d)
continue
m = r // d
res = d * (m + 1)
result.append(res)
for i in result:
print(i)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
int q, l, r, d;
int main() {
scanf("%d", &q);
while (q--) {
scanf("%d%d%d", &l, &r, &d);
if (l > d)
printf("%d\n", d);
else
printf("%d\n", r / d * d + d);
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | def mi():
return map(int, input().split())
'''
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
'''
for _ in range(int(input())):
l,r,d = mi()
nl=d
nr=r-r%d
nr+=d
if nl<l:
print (nl)
else:
print (nr)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q=int(input())
for _ in range(0,q):
l,r,n=map(int,input().split())
if(n<l):
div=l//n
rem=l%n;
if(rem==0):
ans=l-n*(div-1)
else:
ans=l-rem
rem=ans%n
div=ans//n
l=ans
if(rem==0):
ans=l-n*(div-1)
elif(n>r):
ans=n;
elif(n==r):
ans=2*n
elif(n<r):
rem=r%n
if(rem==0):
ans=r+n
else:
div=r//n
ans=(div+1)*n
print(ans)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.*;
public class Cf1101A {
public static void main(String[] args) {
Scanner sc=new Scanner(System.in);
int l,r,d,t,p;
t=sc.nextInt();
while(t>0){
l=sc.nextInt();
r=sc.nextInt();
d=sc.nextInt();
if(l>d)
System.out.println(d);
else {
p=(r/d)*d+d;
System.out.println(p);
}
t--;
}
sc.close();
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n=int(input())
for i in range(n):
l,r,d=map(int, input().split())
if (l//d)>=2 or ((l//d)==1 and (l%d)!=0):
print(d)
else:
print((r//d+1)*d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.Scanner;
public class MinimumInteger
{
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
int test = sc.nextInt();
for (int i = 0; i < test; i++)
{
int l = sc.nextInt();
int r = sc.nextInt();
int d = sc.nextInt();
if (d < l || d > r)
{
System.out.println(d);
}
else
{
System.out.println(r - (r % d) + d);
}
}
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | cpp | #include <bits/stdc++.h>
int main() {
int a1, b, c, d, n, k = 4;
std::cin >> n;
int a[n];
int i, i1, j;
for (i = 1; i <= n; i++) {
std::cin >> a1 >> b >> c;
if (a1 > c) {
std::cout << c << '\n';
} else {
std::cout << c * (b / c + 1) << '\n';
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import sys
import math
def read_int():
return int(input().strip())
def read_int_list():
return list(map(int,input().strip().split()))
def read_string():
return input().strip()
def read_string_list(delim=" "):
return input().strip().split(delim)
###### Author : Samir Vyas #######
###### Write Code Below #######
q = read_int()
for _ in range(q):
[l,r,d] = read_int_list()
if d < l:
print(d)
continue
if d > r:
print(d)
continue
temp = (l//d - 1)*d
if temp < l and temp >= d:
print(temp)
continue
temp = (r//d + 1)*d
if temp > r and temp >= d:
print(temp)
continue
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | # Lets goto the next level
# AIM Specialist at CF *__* asap
# template taken from chaudhary_19
# Remember you were also a novice when you started,
# hence never be rude to anyone who wants to learn something
# Never open a ranklist untill and unless you are done with solving problems, wastes 3/4 minuts
# Donot treat CP as a placement thing, love it and enjoy it, you will succeed for sure.
# Any doubts or want to have a talk, contact https://www.facebook.com/chaudhary.mayank
# ///==========Libraries, Constants and Functions=============///
import sys
from bisect import bisect_left,bisect_right,insort
from collections import deque,Counter
from math import gcd,sqrt,factorial,ceil,log10,log2
from itertools import permutations
from heapq import heappush,heappop,heapify
inf = float("inf")
mod = 1000000007
#sys.setrecursionlimit(10**5)
def factorial_p(n, p):
ans = 1
if n <= p // 2:
for i in range(1, n + 1):
ans = (ans * i) % p
else:
for i in range(1, p - n):
ans = (ans * i) % p
ans = pow(ans, p - 2, p)
if n % 2 == 0:
ans = p - ans
return ans
def nCr_p(n, r, p):
ans = 1
while (n != 0) or (r != 0):
a, b = n % p, r % p
if a < b:
return 0
ans = (ans * factorial_p(a, p) * pow(factorial_p(b, p), p - 2, p) * pow(factorial_p(a - b, p), p - 2, p)) % p
n //= p
r //= p
return ans
def prime_sieve(n):
"""returns a sieve of primes >= 5 and < n"""
flag = n % 6 == 2
sieve = bytearray((n // 3 + flag >> 3) + 1)
for i in range(1, int(n**0.5) // 3 + 1):
if not (sieve[i >> 3] >> (i & 7)) & 1:
k = (3 * i + 1) | 1
for j in range(k * k // 3, n // 3 + flag, 2 * k):
sieve[j >> 3] |= 1 << (j & 7)
for j in range(k * (k - 2 * (i & 1) + 4) // 3, n // 3 + flag, 2 * k):
sieve[j >> 3] |= 1 << (j & 7)
return sieve
def prime_list(n):
"""returns a list of primes <= n"""
res = []
if n > 1:
res.append(2)
if n > 2:
res.append(3)
if n > 4:
sieve = prime_sieve(n + 1)
res.extend(3 * i + 1 | 1 for i in range(1, (n + 1) // 3 + (n % 6 == 1)) if not (sieve[i >> 3] >> (i & 7)) & 1)
return res
def binary(number): # <----- calculate the no. of 1's in binary representation of number
result=0
while number:
result=result+1
number=number&(number-1)
return result
def is_prime(n):
"""returns True if n is prime else False"""
if n < 5 or n & 1 == 0 or n % 3 == 0:
return 2 <= n <= 3
s = ((n - 1) & (1 - n)).bit_length() - 1
d = n >> s
for a in [2, 325, 9375, 28178, 450775, 9780504, 1795265022]:
p = pow(a, d, n)
if p == 1 or p == n - 1 or a % n == 0:
continue
for _ in range(s):
p = (p * p) % n
if p == n - 1:
break
else:
return False
return True
def all_factors(n):
"""returns a sorted list of all distinct factors of n"""
small, large = [], []
for i in range(1, int(n**0.5) + 1, 2 if n & 1 else 1):
if not n % i:
small.append(i)
large.append(n // i)
if small[-1] == large[-1]:
large.pop()
large.reverse()
small.extend(large)
return small
def get_array(): return list(map(int, sys.stdin.readline().strip().split()))
def get_ints(): return map(int, sys.stdin.readline().strip().split())
def input(): return sys.stdin.readline().strip()
# ///===========MAIN=============///
n=int(input())
for i in range(n):
l,r,d=get_ints()
if d<l or d>r:
print(d)
else:
print(ceil((r+1)/d)*d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
s = 0
for i in range(0,q):
e = list(map(int,input().split()))
s = e[2]
if (s>=e[0]) and (s<=e[1]):
print(s + e[1] - e[1] % s)
else:
print(s) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | import math
q = int(input())
for i in range(q):
l, r, d = map(int, input().split())
if d < l or d > r:
print(d)
elif (r+1) % d == 0:
print(r+1)
else:
print(r+1 - ((r+1) % d) + d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.*;
import static java.lang.Math.*;
public class Test{
public static void main(String[] args){
Scanner in = new Scanner(System.in);
int q = in.nextInt();
while (q-->0){
long l = in.nextLong();
long r = in.nextLong();
long d = in.nextLong();
long ans=0;
if (l<=d && d<=r){
ans = ((r/d)+1)*d;
}else{
ans = d;
}
System.out.println(ans);
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
for _ in range(n):
a = list(map(int,input().split()))
l = a[0]
r = a[1]
d = a[2]
if l<=d and d<=r:
print((r//d+1)*d)
else:
print(d) |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.util.Scanner;
public class ProblemA {
public static void main(String[] args) {
Scanner reader = new Scanner(System.in);
int q = reader.nextInt();
int [][] tab = new int[q][3];
int [] result = new int[q];
String s = "";
for(int i = 0; i< q; i++)
{for(int j = 0 ; j < 3 ; j++)
tab[i][j] = reader.nextInt();
if(tab[i][2] > tab[i][1] || tab[i][2] < tab[i][0]) {
result[i] = tab[i][2];
}
else
{
result[i] = ((tab[i][1]/tab[i][2])+1)*tab[i][2];
}
s += result[i]+ "\n";
}
System.out.println(s);
reader.close();
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | q = int(input())
for i in range(q):
l, r, d = map(int, input().split())
if d < l:
print(d)
else:
print(r - r % d + d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java |
import java.io.*;
import java.util.*;
public class Main {
public static void main(String[] args) {
__SolutionBase begin = new __SolutionBase();
begin.Solve();
}
}
class __SolutionBase {
public void Solve() {
init();
Solution();
out.close();
}
private void Solution() {
List<Long> answer = new ArrayList<>();
int n = readInt();
for (int i = 0; i < n;i++){
long L = readLong();
long r = readLong();
long d = readLong();
/*
long ans = 1;
stop:
{
if (L % d == 0) {
ans = L - d;
if (ans <= 0)
break stop;
while (ans > 0) {
ans -= d;
}
ans += d;
}else ans = (long)(L/d) * d;
}
if (ans > 0)
answer.add(ans);
else answer.add((long)(r/d)*(long)d + d);
*/
if (d < L)
answer.add(d);
else{
long a = r/d;
answer.add(a*d + d);
}
}
for (long elem:answer)
out.println(elem);
}
/**
* readLong, readDouble and other are similar
*
* @return int type from input
*/
private int readInt() {
return Integer.parseInt(readString());
}
private long readLong() {
return Long.parseLong(readString());
}
/**
* Tokens are separated by space or endExclusive of line
*
* @return non-empty string token from input (or null if there is no any token)
*/
private String readString() {
while (!tok.hasMoreTokens()) {
String nextLine = readLine();
if (null == nextLine) return null;
tok = new StringTokenizer(nextLine);
}
return tok.nextToken();
}
/**
* @return whole line from input
*/
private String readLine() {
try {
return in.readLine();
} catch (IOException e) {
throw new RuntimeException(e);
}
}
private BufferedReader in;
private PrintWriter out;
private StringTokenizer tok = new StringTokenizer(" ");
/**
* For local testing I use pair 'input.txt'/'output.txt' in the project root
*/
private void init() {
try {
in = new BufferedReader(new FileReader("input.txt"));
out = new PrintWriter("output.txt");
} catch (FileNotFoundException e) {
in = new BufferedReader(new InputStreamReader(System.in));
out = new PrintWriter(System.out);
}
}
} |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
for i in range(n) :
a,b,c = map(int,input().split())
if(a / c > 1) :
print(c)
else :
print(((b//c)+1) *c )
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for _ in[0]*int(input()):p,q,r=map(int,input().split());print((r>=p)*q//r*r+r)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | for _ in range(int(input())):
l,r,d=map(int,input().split())
if d<l:
print(d)
else:
print((r//d +1)*d)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | public class A {
public Object solve () {
long L = sc.nextLong(), R = sc.nextLong(), D = sc.nextLong();
if (D < L)
return print(D);
else
return print(ceil((R+1), D) * D);
}
private static final boolean ONE_TEST_CASE = false;
private static void init () {
}
private static long ceil (long p, long q) { return fc(p, q, true); }
private static long fc (long p, long q, boolean up) {
if (q < 0) return fc(-p, -q, up);
if (p < 0) return -fc(-p, q, !up);
return (p + (up ? q-1 : 0)) / q;
}
//////////////////////////////////////////////////////////////////////////////////// OFF
private static IOUtils.MyScanner sc = new IOUtils.MyScanner();
private static Object print (Object o, Object ... A) { IOUtils.print(o, A); return null; }
private static class IOUtils {
public static class MyScanner {
public String next () { newLine(); return line[index++]; }
public int nextInt () { return Integer.parseInt(next()); }
public long nextLong () { return Long.parseLong(next()); }
//////////////////////////////////////////////
private boolean eol () { return index == line.length; }
private String readLine () {
try {
return r.readLine();
} catch (Exception e) {
throw new Error (e);
}
}
private final java.io.BufferedReader r;
private MyScanner () { this(new java.io.BufferedReader(new java.io.InputStreamReader(System.in))); }
private MyScanner (java.io.BufferedReader r) {
try {
this.r = r;
while (!r.ready())
Thread.sleep(1);
start();
} catch (Exception e) {
throw new Error(e);
}
}
private String [] line;
private int index;
private void newLine () {
if (line == null || eol()) {
line = split(readLine());
index = 0;
}
}
private String [] split (String s) { return s.length() > 0 ? s.split(" ") : new String [0]; }
}
private static String build (Object o, Object ... A) { return buildDelim(" ", o, A); }
private static String buildDelim (String delim, Object o, Object ... A) {
StringBuilder b = new StringBuilder();
append(b, o, delim);
for (Object p : A)
append(b, p, delim);
return b.substring(delim.length());
}
//////////////////////////////////////////////////////////////////////////////////
private static final java.text.DecimalFormat formatter = new java.text.DecimalFormat("#.#########");
private static void start () { if (t == 0) t = millis(); }
private static void append (java.util.function.Consumer<Object> f, java.util.function.Consumer<Object> g, final Object o) {
if (o.getClass().isArray()) {
int len = java.lang.reflect.Array.getLength(o);
for (int i = 0; i < len; ++i)
f.accept(java.lang.reflect.Array.get(o, i));
}
else if (o instanceof Iterable<?>)
((Iterable<?>)o).forEach(f::accept);
else
g.accept(o instanceof Double ? formatter.format(o) : o);
}
private static void append (final StringBuilder b, Object o, final String delim) {
append(x -> { append(b, x, delim); }, x -> b.append(delim).append(x), o);
}
private static java.io.PrintWriter pw = new java.io.PrintWriter(System.out);
private static void print (Object o, Object ... A) {
pw.println(build(o, A));
if (DEBUG)
pw.flush();
}
private static void err (Object o, Object ... A) { System.err.println(build(o, A)); }
private static boolean DEBUG;
private static void write (Object o) {
err(o, '(', time(), ')');
if (!DEBUG)
pw.println(o);
}
private static void exit () {
IOUtils.pw.close();
System.out.flush();
err("------------------");
err(time());
System.exit(0);
}
private static long t;
private static long millis () { return System.currentTimeMillis(); }
private static String time () { return "Time: " + (millis() - t) / 1000.0; }
private static void run (int N) {
try { DEBUG = System.getProperties().containsKey("DEBUG"); }
catch (Throwable t) {}
for (int n = 1; n <= N; ++n) {
Object res = new A().solve();
if (res != null)
write("Case #" + n + ": " + build(res));
}
exit();
}
}
////////////////////////////////////////////////////////////////////////////////////
public static void main (String[] args) {
init();
int N = ONE_TEST_CASE ? 1 : sc.nextInt();
IOUtils.run(N);
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python2 | for _ in range(input()):
l,r,d=map(int,raw_input().split())
if d<l:
print d
else:
x=r//d+1
x=x*d
print x |
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | java | import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.StringTokenizer;
/**
* @author Andrei Chugunov
*/
public class Main {
private static class Solution {
private void solve(FastScanner in, PrintWriter out) {
int q = in.nextInt();
for (int i = 0; i < q; i++) {
int l = in.nextInt();
int r = in.nextInt();
int d = in.nextInt();
if (d > r || d < l) {
out.println(d);
} else {
int mod = r % d;
if (mod == 0) {
out.println(r + d);
} else {
out.println(r - mod + d);
}
}
}
}
}
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastScanner in = new FastScanner(inputStream);
PrintWriter out = new PrintWriter(outputStream);
Solution solver = new Solution();
solver.solve(in, out);
out.flush();
//out.close();
}
private static class FastScanner {
private BufferedReader br;
private StringTokenizer st;
FastScanner(InputStream stream) {
br = new BufferedReader(new InputStreamReader(stream), 32768);
st = null;
}
private String next() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
private int nextInt() {
return Integer.parseInt(next());
}
private long nextLong() {
return Long.parseLong(next());
}
private int[] nextIntArray(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
}
}
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 |
q = int(input())
for i in range(q):
firstlastnum = list(map(int, input().split()))
first = firstlastnum[0]
last = firstlastnum[1]
num = firstlastnum[2]
div2 = last // num
if num < first:
print(num)
else:
print(div2*num + num)
|
1101_A. Minimum Integer | You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i].
Can you answer all the queries?
Recall that a number x belongs to segment [l, r] if l ≤ x ≤ r.
Input
The first line contains one integer q (1 ≤ q ≤ 500) — the number of queries.
Then q lines follow, each containing a query given in the format l_i r_i d_i (1 ≤ l_i ≤ r_i ≤ 10^9, 1 ≤ d_i ≤ 10^9). l_i, r_i and d_i are integers.
Output
For each query print one integer: the answer to this query.
Example
Input
5
2 4 2
5 10 4
3 10 1
1 2 3
4 6 5
Output
6
4
1
3
10 | {
"input": [
"5\n2 4 2\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n"
],
"output": [
"6\n4\n1\n3\n10\n"
]
} | {
"input": [
"20\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n1 1000000000 2\n",
"1\n78 79 79\n",
"1\n6 6 6\n",
"20\n1 1 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n1 999999999 1\n",
"1\n78 1000 1\n",
"1\n77 10000 1\n",
"20\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"10\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n78 80 1\n",
"20\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n1 1000000000 3\n",
"1\n1 1 123456789\n",
"1\n80 100 1\n",
"5\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n1000000000 1000000000 1\n",
"1\n78 10000 1\n",
"1\n79 80 100\n",
"5\n1 1000000000 1\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n1 999999999 2\n",
"1\n78 89 34\n",
"1\n1 1 1\n",
"1\n1 3 2\n",
"10\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n1 999999998 1\n",
"4\n1 999999999 1\n1 999999998 1\n1 999999997 1\n1 999999996 1\n",
"5\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"2\n1 1 2\n1 1 2\n",
"1\n80 100 80\n",
"25\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n1 1000000000 1\n1 1000000000 1000000000\n2 1000000000 1\n1 999999999 1000000000\n5 6 5\n",
"30\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"16\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n1 1000000000 1\n",
"1\n1 1000000000 6\n",
"1\n5 5 5\n",
"1\n2 5 6\n",
"8\n1 999999998 1\n1 999999997 1\n1 999999996 1\n1 999999995 1\n1 999999994 1\n1 999999993 1\n1 999999992 1\n1 999999991 1\n",
"5\n80 100 10\n5 10 4\n3 10 1\n1 2 3\n4 6 5\n",
"1\n1 1000000000 1017\n",
"1\n1 1000000000 2\n"
],
"output": [
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"158\n",
"12\n",
"2\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"1\n",
"1\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1\n",
"1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n1000000002\n",
"123456789\n",
"1\n",
"1\n1\n1\n1\n1\n",
"1\n",
"100\n",
"1000000001\n1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n1000000000\n",
"34\n",
"2\n",
"4\n",
"999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n999999999\n",
"1000000000\n999999999\n999999998\n999999997\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"2\n2\n",
"160\n",
"1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n1000000001\n2000000000\n1\n1000000000\n10\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n1000000001\n",
"1000000002\n",
"10\n",
"6\n",
"999999999\n999999998\n999999997\n999999996\n999999995\n999999994\n999999993\n999999992\n",
"10\n4\n1\n3\n10\n",
"1000000845\n",
"1000000002\n"
]
} | CORRECT | python3 | n = int(input())
a = []
for i in range(n):
l, r, d = map(int, input().split())
a.append([l, r, d])
for i in a:
l, r, d = list(i)
if d < l:
print(d)
else:
c = r // d
print((c + 1) * d)
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.