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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#885299#1816. Multiple ParenthesesyuanruiqiAC ✓266ms238176kbC++261.1kb2025-02-06 15:09:312025-02-06 15:09:41

Judging History

This is the latest submission verdict.

  • [2025-02-06 15:09:41]
  • Judged
  • Verdict: AC
  • Time: 266ms
  • Memory: 238176kb
  • [2025-02-06 15:09:31]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
constexpr int maxn = 30000000 + 50;
constexpr int mod = 998244353;
int fac[maxn], inv[maxn];
i64 qp(i64 a, i64 b)
{
    i64 c = 1;
    for (; b; b>>=1, a=a*a%mod)
        if (b & 1) c=c*a%mod;
    return c;
}
i64 C(int n, int m)
{
    if (n < m || m < 0) return 0;
    return (i64) fac[n] * inv[m] % mod * inv[n - m] % mod;
}
i64 F(int n, int m)
{
    if (!m) return 1;
    return (C(m + m + n - 1, m) - C(m + m + n - 1, m - 1) + mod);
}
int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n, m, k;
    cin >> n >> m >> k;
    fac[0] = 1;
    for (int i=1;i<maxn;++i) fac[i] = (i64) fac[i - 1] * i % mod;
    inv[maxn - 1] = qp(fac[maxn - 1], mod - 2);
    for (int i=maxn-2;i>=0;--i) inv[i] = inv[i + 1] * (i + 1ll) % mod;
    i64 ans = 0;
    i64 x = F(1, k) % mod, y = 1;
    for (int i=0;i*k<=m&&i<=n;++i)
    {
        ans = (ans + (i & 1 ? mod - 1 : 1) * C(n, i) % mod * F(n - i, m - i * k) % mod * y) % mod;
        y = y * x % mod;
    }
    cout << ans << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 259ms
memory: 238144kb

input:

2 2 1

output:

4

result:

ok answer is '4'

Test #2:

score: 0
Accepted
time: 253ms
memory: 238020kb

input:

1 1 1

output:

0

result:

ok answer is '0'

Test #3:

score: 0
Accepted
time: 260ms
memory: 238080kb

input:

24 120 30

output:

379268651

result:

ok answer is '379268651'

Test #4:

score: 0
Accepted
time: 260ms
memory: 238048kb

input:

1451 1598 1130

output:

884873572

result:

ok answer is '884873572'

Test #5:

score: 0
Accepted
time: 255ms
memory: 237972kb

input:

1324 1742 1033

output:

856733047

result:

ok answer is '856733047'

Test #6:

score: 0
Accepted
time: 259ms
memory: 238124kb

input:

1378 1614 1335

output:

869903701

result:

ok answer is '869903701'

Test #7:

score: 0
Accepted
time: 258ms
memory: 237944kb

input:

1071 1907 1281

output:

327700529

result:

ok answer is '327700529'

Test #8:

score: 0
Accepted
time: 258ms
memory: 238048kb

input:

1204 1337 1277

output:

475981175

result:

ok answer is '475981175'

Test #9:

score: 0
Accepted
time: 259ms
memory: 238108kb

input:

146 246 100

output:

404402509

result:

ok answer is '404402509'

Test #10:

score: 0
Accepted
time: 259ms
memory: 238172kb

input:

226 183 144

output:

351921989

result:

ok answer is '351921989'

Test #11:

score: 0
Accepted
time: 256ms
memory: 238084kb

input:

234 287 158

output:

658959115

result:

ok answer is '658959115'

Test #12:

score: 0
Accepted
time: 259ms
memory: 238156kb

input:

242 156 122

output:

325586111

result:

ok answer is '325586111'

Test #13:

score: 0
Accepted
time: 259ms
memory: 238048kb

input:

168 271 135

output:

181613866

result:

ok answer is '181613866'

Test #14:

score: 0
Accepted
time: 259ms
memory: 237948kb

input:

22 25 1

output:

684860973

result:

ok answer is '684860973'

Test #15:

score: 0
Accepted
time: 261ms
memory: 237960kb

input:

45 22 15

output:

217501624

result:

ok answer is '217501624'

Test #16:

score: 0
Accepted
time: 253ms
memory: 238164kb

input:

47 29 16

output:

690840771

result:

ok answer is '690840771'

Test #17:

score: 0
Accepted
time: 259ms
memory: 238052kb

input:

2 25 25

output:

660660974

result:

ok answer is '660660974'

Test #18:

score: 0
Accepted
time: 257ms
memory: 237980kb

input:

32 34 11

output:

133387056

result:

ok answer is '133387056'

Test #19:

score: 0
Accepted
time: 259ms
memory: 238164kb

input:

88196 118335 104471

output:

7192211

result:

ok answer is '7192211'

Test #20:

score: 0
Accepted
time: 256ms
memory: 238032kb

input:

142215 57117 51272

output:

627598793

result:

ok answer is '627598793'

Test #21:

score: 0
Accepted
time: 257ms
memory: 238148kb

input:

102255 60360 51525

output:

447649003

result:

ok answer is '447649003'

Test #22:

score: 0
Accepted
time: 255ms
memory: 238156kb

input:

132449 83413 54230

output:

215816803

result:

ok answer is '215816803'

Test #23:

score: 0
Accepted
time: 256ms
memory: 238104kb

input:

68499 95762 77190

output:

393029560

result:

ok answer is '393029560'

Test #24:

score: 0
Accepted
time: 266ms
memory: 237988kb

input:

751951 751951 1

output:

804170883

result:

ok answer is '804170883'

Test #25:

score: 0
Accepted
time: 257ms
memory: 238012kb

input:

804420 1962 410

output:

869056555

result:

ok answer is '869056555'

Test #26:

score: 0
Accepted
time: 257ms
memory: 238000kb

input:

828607 63739 13

output:

926542030

result:

ok answer is '926542030'

Test #27:

score: 0
Accepted
time: 259ms
memory: 237968kb

input:

472167 20529 23

output:

142703540

result:

ok answer is '142703540'

Test #28:

score: 0
Accepted
time: 260ms
memory: 237992kb

input:

363438 363438 1

output:

764563597

result:

ok answer is '764563597'

Test #29:

score: 0
Accepted
time: 256ms
memory: 238176kb

input:

1000000 1000000 628333

output:

283487375

result:

ok answer is '283487375'

Test #30:

score: 0
Accepted
time: 260ms
memory: 238028kb

input:

1000000 1000000 900084

output:

651386967

result:

ok answer is '651386967'

Test #31:

score: 0
Accepted
time: 256ms
memory: 238164kb

input:

1000000 1000000 27328

output:

621963453

result:

ok answer is '621963453'

Test #32:

score: 0
Accepted
time: 259ms
memory: 238016kb

input:

1000000 1000000 538409

output:

997879100

result:

ok answer is '997879100'

Test #33:

score: 0
Accepted
time: 260ms
memory: 237948kb

input:

1000000 1000000 928121

output:

964724707

result:

ok answer is '964724707'

Test #34:

score: 0
Accepted
time: 254ms
memory: 237960kb

input:

685624 665877 563708

output:

257429683

result:

ok answer is '257429683'

Test #35:

score: 0
Accepted
time: 259ms
memory: 237980kb

input:

692290 942095 553970

output:

82511143

result:

ok answer is '82511143'

Test #36:

score: 0
Accepted
time: 257ms
memory: 238024kb

input:

579579 765702 631728

output:

954001361

result:

ok answer is '954001361'

Test #37:

score: 0
Accepted
time: 257ms
memory: 238040kb

input:

756854 634736 567170

output:

393747028

result:

ok answer is '393747028'

Test #38:

score: 0
Accepted
time: 256ms
memory: 238128kb

input:

649175 997874 511181

output:

242172216

result:

ok answer is '242172216'

Test #39:

score: 0
Accepted
time: 255ms
memory: 238116kb

input:

786431 1000000 999999

output:

627359027

result:

ok answer is '627359027'