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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#178493#6417. Classical Summation ProblemduckierAC ✓591ms11548kbC++14969b2023-09-14 01:23:502023-09-14 01:23:51

Judging History

你现在查看的是最新测评结果

  • [2023-09-14 01:23:51]
  • 评测
  • 测评结果:AC
  • 用时:591ms
  • 内存:11548kb
  • [2023-09-14 01:23:50]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long

using namespace std;

const int M = 998244353;
int n, k, fact[1000001];

int pow2(int a, int b) {
    if(b==0) return 1;
    int c = pow2(a, b/2);
    c = (c*c)%M;
    if(b%2==1) c = (c*a)%M;
    return c;
}

int inv(int a) {
    return pow2(a, M-2);
}

int choose(int a, int b) {
    return (((fact[a] * inv(fact[b]))%M) * inv(fact[a-b]))%M;
}

int mod(int a) {
    return (a%M + M)%M;
}

signed main() {
    fact[0] = 1;
    for(int i = 1; i <= 1000000; i++) fact[i] = (fact[i-1] * i)%M;
    cin>>n>>k;
    if(k%2==1) {
        int ans = pow2(n, k);
        ans = ((ans * (n+1))%M * inv(2))%M;
        cout << ans << '\n';
        return 0;
    }
    int ans =0;
    for(int i= 1; i < n; i++) {
        ans += ((choose(k, k/2) * pow2(i, k/2))%M * pow2(n-i, k/2))%M;
    }
    ans %= M;
    ans = ((mod(((n+1) * pow2(n, k)) % M - ans)) * inv(2))%M;
    cout << ans << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 6ms
memory: 11464kb

input:

3 2

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 3ms
memory: 11452kb

input:

5 3

output:

375

result:

ok 1 number(s): "375"

Test #3:

score: 0
Accepted
time: 3ms
memory: 11404kb

input:

2 2

output:

5

result:

ok 1 number(s): "5"

Test #4:

score: 0
Accepted
time: 6ms
memory: 11528kb

input:

10 9

output:

508778235

result:

ok 1 number(s): "508778235"

Test #5:

score: 0
Accepted
time: 3ms
memory: 11468kb

input:

69 3

output:

11497815

result:

ok 1 number(s): "11497815"

Test #6:

score: 0
Accepted
time: 3ms
memory: 11524kb

input:

994 515

output:

33689623

result:

ok 1 number(s): "33689623"

Test #7:

score: 0
Accepted
time: 9ms
memory: 11472kb

input:

4476 6182

output:

114894183

result:

ok 1 number(s): "114894183"

Test #8:

score: 0
Accepted
time: 6ms
memory: 11536kb

input:

58957 12755

output:

932388891

result:

ok 1 number(s): "932388891"

Test #9:

score: 0
Accepted
time: 121ms
memory: 11464kb

input:

218138 28238

output:

392861201

result:

ok 1 number(s): "392861201"

Test #10:

score: 0
Accepted
time: 364ms
memory: 11468kb

input:

644125 316810

output:

420621854

result:

ok 1 number(s): "420621854"

Test #11:

score: 0
Accepted
time: 351ms
memory: 11464kb

input:

612914 505428

output:

973686286

result:

ok 1 number(s): "973686286"

Test #12:

score: 0
Accepted
time: 6ms
memory: 11548kb

input:

998216 938963

output:

251335926

result:

ok 1 number(s): "251335926"

Test #13:

score: 0
Accepted
time: 6ms
memory: 11484kb

input:

990516 996933

output:

549551960

result:

ok 1 number(s): "549551960"

Test #14:

score: 0
Accepted
time: 591ms
memory: 11404kb

input:

999019 999012

output:

637189128

result:

ok 1 number(s): "637189128"

Test #15:

score: 0
Accepted
time: 560ms
memory: 11424kb

input:

999928 999950

output:

185229465

result:

ok 1 number(s): "185229465"

Test #16:

score: 0
Accepted
time: 3ms
memory: 11460kb

input:

999999 999999

output:

384164916

result:

ok 1 number(s): "384164916"

Test #17:

score: 0
Accepted
time: 552ms
memory: 11520kb

input:

999999 1000000

output:

696165930

result:

ok 1 number(s): "696165930"

Test #18:

score: 0
Accepted
time: 3ms
memory: 11408kb

input:

1000000 999999

output:

219071706

result:

ok 1 number(s): "219071706"

Test #19:

score: 0
Accepted
time: 552ms
memory: 11464kb

input:

1000000 1000000

output:

128206597

result:

ok 1 number(s): "128206597"

Test #20:

score: 0
Accepted
time: 0ms
memory: 11468kb

input:

2 10

output:

1410

result:

ok 1 number(s): "1410"

Test #21:

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

input:

84 16

output:

297627153

result:

ok 1 number(s): "297627153"

Test #22:

score: 0
Accepted
time: 6ms
memory: 11408kb

input:

643 800

output:

489237163

result:

ok 1 number(s): "489237163"

Test #23:

score: 0
Accepted
time: 11ms
memory: 11412kb

input:

9903 880

output:

595167333

result:

ok 1 number(s): "595167333"

Test #24:

score: 0
Accepted
time: 59ms
memory: 11548kb

input:

97446 89750

output:

410205549

result:

ok 1 number(s): "410205549"

Test #25:

score: 0
Accepted
time: 115ms
memory: 11536kb

input:

186460 646474

output:

32638530

result:

ok 1 number(s): "32638530"

Test #26:

score: 0
Accepted
time: 292ms
memory: 11468kb

input:

508940 244684

output:

598321755

result:

ok 1 number(s): "598321755"

Test #27:

score: 0
Accepted
time: 326ms
memory: 11544kb

input:

583646 557758

output:

858695621

result:

ok 1 number(s): "858695621"

Test #28:

score: 0
Accepted
time: 554ms
memory: 11412kb

input:

969610 992608

output:

256683498

result:

ok 1 number(s): "256683498"

Test #29:

score: 0
Accepted
time: 569ms
memory: 11464kb

input:

995106 996434

output:

411791999

result:

ok 1 number(s): "411791999"

Test #30:

score: 0
Accepted
time: 568ms
memory: 11396kb

input:

999961 999872

output:

61222370

result:

ok 1 number(s): "61222370"

Test #31:

score: 0
Accepted
time: 575ms
memory: 11468kb

input:

999977 999908

output:

831096762

result:

ok 1 number(s): "831096762"

Test #32:

score: 0
Accepted
time: 578ms
memory: 11468kb

input:

999992 999998

output:

562977678

result:

ok 1 number(s): "562977678"

Test #33:

score: 0
Accepted
time: 408ms
memory: 11412kb

input:

1000000 2

output:

118436113

result:

ok 1 number(s): "118436113"

Test #34:

score: 0
Accepted
time: 3ms
memory: 11472kb

input:

2 1000000

output:

298823641

result:

ok 1 number(s): "298823641"