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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#121579#6417. Classical Summation ProblemSolitaryDream#AC ✓221ms15532kbC++201.2kb2023-07-08 14:53:572023-07-08 14:54:01

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-08 14:54:01]
  • 评测
  • 测评结果:AC
  • 用时:221ms
  • 内存:15532kb
  • [2023-07-08 14:53:57]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 1e6 + 10;
const int p = 998244353;
const int inv2 = (p + 1) >> 1;
int n, m, fac[N], finv[N], inv[N];
inline int Qpow(int x, int y = p - 2) {
    int ans = 1;
    for (; y; y >>= 1, x = 1ll * x * x % p) 
        if (y & 1) ans = 1ll * ans * x % p;
    return ans;
}
inline int C(int x, int y) {
    if (x < 0 || x < y) return 0;
    return 1ll * fac[x] * finv[y] % p * finv[x - y] % p;
}
int main() {
    fac[0] = 1; for (int i = 1; i < N; ++i) fac[i] = 1ll * fac[i - 1] * i % p;
    inv[0] = inv[1] = 1; for (int i = 2; i < N; ++i) inv[i] = 1ll * inv[p % i] * (p - p / i) % p;
    finv[0] = 1; for (int i = 1; i < N; ++i) finv[i] = 1ll * finv[i - 1] * inv[i] % p;
    scanf("%d%d", &n, &m);
    int ans = 1ll * Qpow(n, m) * (n + 1) % p * inv2 % p;
    if (m % 2 == 0) {
        int u = m / 2;
        int sm = 0;
        int mid = 1ll * (n + 1) * inv2 % p;
        for (int i = 1; i <= n; ++i) {
            sm = (sm + 1ll * (i - mid) * (Qpow(i, u) - Qpow(i - 1, u)) % p * Qpow(n - i, u)) % p;
        }
        ans = (ans + 1ll * C(m, u) * sm) % p;
        if (ans < 0) ans += p;
    }
    printf("%d\n", ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 11ms
memory: 15284kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 10ms
memory: 15336kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 15ms
memory: 15292kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 16ms
memory: 15300kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 12ms
memory: 15524kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 10ms
memory: 15344kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 16ms
memory: 15340kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 11ms
memory: 15332kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 47ms
memory: 15312kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 128ms
memory: 15388kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 130ms
memory: 15532kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 12ms
memory: 15520kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 12ms
memory: 15508kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 217ms
memory: 15332kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 221ms
memory: 15332kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 11ms
memory: 15332kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 213ms
memory: 15316kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 16ms
memory: 15392kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 210ms
memory: 15392kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 8ms
memory: 15280kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

score: 0
Accepted
time: 15ms
memory: 15288kb

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 15ms
memory: 15508kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 12ms
memory: 15516kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 27ms
memory: 15284kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 49ms
memory: 15332kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 101ms
memory: 15288kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 120ms
memory: 15332kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 211ms
memory: 15284kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 220ms
memory: 15296kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 215ms
memory: 15344kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 218ms
memory: 15392kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 218ms
memory: 15240kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 24ms
memory: 15332kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 15ms
memory: 15396kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"