QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#328576 | #8171. Cola | JCY_ | AC ✓ | 181ms | 159972kb | C++14 | 1.4kb | 2024-02-15 21:22:45 | 2024-02-15 21:22:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using i128 = __int128;
using u128 = unsigned __int128;
template <typename T>
void chkmax(T &x, const T &y) {
if (x < y) x = y;
}
template <typename T>
void chkmin(T &x, const T &y) {
if (y < x) x = y;
}
constexpr int MAXN = 1e7 + 10, MOD = 998244353;
int qpow(int x, int y) {
int ret = 1;
for (; y; y >>= 1, x = (ll)x * x % MOD)
if (y & 1) ret = (ll)ret * x % MOD;
return ret;
}
int fac[MAXN * 2], ifac[MAXN * 2];
int C(int x, int y) {
if (x < y || y < 0) return 0;
return (ll)fac[x] * ifac[y] % MOD * ifac[x - y] % MOD;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int m, n;
cin >> n >> m;
fac[0] = 1;
for (int i = 1; i <= n + m; ++i) fac[i] = (ll)fac[i - 1] * i % MOD;
ifac[n + m] = qpow(fac[n + m], MOD - 2);
for (int i = n + m - 1; i >= 0; --i)
ifac[i] = (ll)ifac[i + 1] * (i + 1) % MOD;
int ans = C(m - 1 + n, n);
for (int i = 1; i * (i * 3 - 1) / 2 < m; ++i) {
ans = (ans + (C(m - 1 - i * (i * 3 - 1) / 2 + n, n) +
C(m - 1 - i * (i * 3 + 1) / 2 + n, n)) *
(i & 1 ? -1ll : 1ll)) %
MOD;
}
cout << (ll)(ans + MOD) * ifac[n] % MOD << "\n";
return 0;
}
/*
g++ A.cpp -o A -O2 -std=c++14 -Wall -Wextra -Wshadow -g
-fsanitize=address,undefined
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5640kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5760kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5764kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 162ms
memory: 151612kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 146ms
memory: 143836kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 153ms
memory: 155864kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 138ms
memory: 158488kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 160ms
memory: 154264kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 179ms
memory: 159904kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 167ms
memory: 159896kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 168ms
memory: 159896kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 156ms
memory: 159868kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 164ms
memory: 159904kb
input:
9999999 9999999
output:
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result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 155ms
memory: 159832kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 171ms
memory: 159972kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 160ms
memory: 159840kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 156ms
memory: 159848kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 166ms
memory: 159972kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 173ms
memory: 159912kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 154ms
memory: 159924kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 181ms
memory: 159912kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 160ms
memory: 159848kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 177ms
memory: 159956kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 169ms
memory: 159840kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 90ms
memory: 83604kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 94ms
memory: 96768kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 150ms
memory: 158744kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 119ms
memory: 109908kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 57ms
memory: 61140kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 77ms
memory: 86104kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 80ms
memory: 76884kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 81ms
memory: 82280kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 78ms
memory: 81160kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 81ms
memory: 80000kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 89ms
memory: 85692kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 81ms
memory: 87980kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 89ms
memory: 85176kb
input:
10000000 99998
output:
485057696
result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 93ms
memory: 84956kb
input:
10000000 99997
output:
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result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 90ms
memory: 88092kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 88ms
memory: 86168kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 85ms
memory: 85248kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 84ms
memory: 85444kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 77ms
memory: 84676kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 88ms
memory: 84584kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 89ms
memory: 85068kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 89ms
memory: 86344kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 93ms
memory: 85324kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 85ms
memory: 84744kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 85ms
memory: 87956kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 80ms
memory: 84712kb
input:
9999997 99997
output:
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result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 0ms
memory: 5668kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 0ms
memory: 5700kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
3 2
output:
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result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 1ms
memory: 5632kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 0ms
memory: 5656kb
input:
5 4
output:
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result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
3 1
output:
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result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 1ms
memory: 5632kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 1ms
memory: 5772kb
input:
5 3
output:
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result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 0ms
memory: 5632kb
input:
6 4
output:
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result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 1ms
memory: 5776kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
6 3
output:
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result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
7 4
output:
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result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 38ms
memory: 51884kb
input:
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output:
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result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 0ms
memory: 6540kb
input:
126092 74219
output:
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result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 80ms
memory: 76116kb
input:
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output:
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result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 12ms
memory: 15504kb
input:
1076972 58637
output:
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result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 6ms
memory: 10284kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed