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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#206891#5817. 小学生数学题Terryjoy100 ✓485ms108372kbC++141023b2023-10-07 23:51:042023-10-07 23:51:05

Judging History

你现在查看的是最新测评结果

  • [2023-10-07 23:51:05]
  • 评测
  • 测评结果:100
  • 用时:485ms
  • 内存:108372kb
  • [2023-10-07 23:51:04]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;
using ll = long long;
const int maxn = 2e7 + 5;
const int mod = 998244353;
int pr[maxn + 5], inv[maxn + 5], cnt;
bool v[maxn + 5];
int mypow(int a, int b) {
    int ans = 1;
    while (b) {
        if (b & 1)
            ans = (ll) ans * a % mod;
        a = (ll) a * a % mod;
        b >>= 1;
    }
    return ans;
}
int n, k;
void init() {
    for (int i = 2; i < maxn; ++i) {
        if (!v[i]) {
            pr[++cnt] = i;
            inv[i] = mypow(mypow(i, k), mod - 2); 
        } 
        for (int j = 1; j <= cnt && pr[j] * i < maxn; ++j) {
            v[i * pr[j]] = 1;
            inv[i * pr[j]] = (ll) inv[i] * inv[pr[j]] % mod;
            if (i % pr[j] == 0)
                break;
        }
    }
} 
int main() {
    cin >> n >> k;
    init();
    ll ans = 1, sum = 1;
    for (int i = 2; i <= n; ++i) {
        sum = sum * i % mod;
        ans = (ans + sum * inv[i] % mod) % mod;
    }
    cout << ans;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 311ms
memory: 107596kb

input:

9450395 1

output:

688545438

result:

ok single line: '688545438'

Test #2:

score: 10
Accepted
time: 308ms
memory: 107036kb

input:

8978812 1

output:

334565356

result:

ok single line: '334565356'

Test #3:

score: 10
Accepted
time: 311ms
memory: 106456kb

input:

8944235 1

output:

982802915

result:

ok single line: '982802915'

Test #4:

score: 10
Accepted
time: 304ms
memory: 106252kb

input:

7081118 3

output:

599009773

result:

ok single line: '599009773'

Test #5:

score: 10
Accepted
time: 308ms
memory: 107924kb

input:

7904241 3

output:

871243720

result:

ok single line: '871243720'

Test #6:

score: 10
Accepted
time: 326ms
memory: 107496kb

input:

9921275 3

output:

549818101

result:

ok single line: '549818101'

Test #7:

score: 10
Accepted
time: 477ms
memory: 108372kb

input:

17575748 14135489

output:

69236780

result:

ok single line: '69236780'

Test #8:

score: 10
Accepted
time: 483ms
memory: 107296kb

input:

19858362 14822524

output:

239890381

result:

ok single line: '239890381'

Test #9:

score: 10
Accepted
time: 485ms
memory: 106428kb

input:

18848696 15530895

output:

88125041

result:

ok single line: '88125041'

Test #10:

score: 10
Accepted
time: 479ms
memory: 107636kb

input:

17787945 13890407

output:

989967864

result:

ok single line: '989967864'

Extra Test:

score: 0
Extra Test Passed