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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#472159#6417. Classical Summation ProblemUESTC_OldEastWest#AC ✓169ms11524kbC++201.1kb2024-07-11 14:46:372024-07-11 14:46:37

Judging History

你现在查看的是最新测评结果

  • [2024-07-11 14:46:37]
  • 评测
  • 测评结果:AC
  • 用时:169ms
  • 内存:11524kb
  • [2024-07-11 14:46:37]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;

const int M = 1e6+5;
const int mod = 998244353;

inline int ksm(int x, int p) {
    if (p == 0) return 1;
    if (p == 1) return x;
    int t = ksm(x, p >> 1);
    if (p & 1) return t * t % mod * x % mod;
    return t * t % mod;
}

inline int inv(int x) {
    return ksm(x % mod, mod - 2);
}
int fac[M];
inline void pre() {
    fac[0] = 1;
    for (int i = 1; i < M; i++) fac[i] = fac[i - 1] * i % mod;
}

inline int C(int n, int m) {
    if (n < m) return 0;
    return fac[n] * inv(fac[m]) % mod * inv(fac[n - m]) % mod;
}

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    int n, k;
    pre(); cin >> n >> k;
    int ans = (n + 1) * ksm(n, k) % mod * inv(2) % mod;
    if (k & 1) return cout << ans << endl, 0;
    int res = 0;
    for (int i = 1; i <= n - 1; i++) (res += ksm(i, k / 2) * ksm(n - i, k / 2) % mod) %= mod;
    res = res * C(k, k / 2) % mod;
    ans = ((ans - res * inv(2) % mod) % mod + mod) % mod;
    cout << ans << endl;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 6ms
memory: 11504kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 6ms
memory: 11388kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 5ms
memory: 11428kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 5ms
memory: 11392kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 6ms
memory: 11436kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 5ms
memory: 11520kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 6ms
memory: 11504kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 5ms
memory: 11504kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 26ms
memory: 11460kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 94ms
memory: 11452kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 98ms
memory: 11368kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 6ms
memory: 11396kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 5ms
memory: 11444kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 169ms
memory: 11424kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 143ms
memory: 11428kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 6ms
memory: 11448kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 130ms
memory: 11364kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 2ms
memory: 11428kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 130ms
memory: 11396kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 6ms
memory: 11444kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 5ms
memory: 11524kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 2ms
memory: 11500kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 3ms
memory: 11428kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 18ms
memory: 11440kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 31ms
memory: 11432kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 79ms
memory: 11372kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 89ms
memory: 11392kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 144ms
memory: 11460kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 154ms
memory: 11364kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 141ms
memory: 11500kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 159ms
memory: 11372kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 162ms
memory: 11412kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 9ms
memory: 11392kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 3ms
memory: 11456kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"