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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#328576#8171. ColaJCY_AC ✓181ms159972kbC++141.4kb2024-02-15 21:22:452024-02-15 21:22:45

Judging History

你现在查看的是最新测评结果

  • [2024-02-15 21:22:45]
  • 评测
  • 测评结果:AC
  • 用时:181ms
  • 内存:159972kb
  • [2024-02-15 21:22:45]
  • 提交

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:

305530110

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:

193579142

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:

499122177

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:

890101215

result:

ok "890101215"

Test #57:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

3 1

output:

166374059

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:

16637406

result:

ok "16637406"

Test #60:

score: 0
Accepted
time: 0ms
memory: 5632kb

input:

6 4

output:

508827330

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:

859599304

result:

ok "859599304"

Test #64:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

7 4

output:

694809760

result:

ok "694809760"

Test #65:

score: 0
Accepted
time: 38ms
memory: 51884kb

input:

5629201 38642

output:

327294391

result:

ok "327294391"

Test #66:

score: 0
Accepted
time: 0ms
memory: 6540kb

input:

126092 74219

output:

27573951

result:

ok "27573951"

Test #67:

score: 0
Accepted
time: 80ms
memory: 76116kb

input:

8593075 8689

output:

393785113

result:

ok "393785113"

Test #68:

score: 0
Accepted
time: 12ms
memory: 15504kb

input:

1076972 58637

output:

600806929

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