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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#618981#6736. Alice and Bobxiojoy#AC ✓137ms81832kbC++201.2kb2024-10-07 12:27:442024-10-07 12:27:45

Judging History

This is the latest submission verdict.

  • [2024-10-07 12:27:45]
  • Judged
  • Verdict: AC
  • Time: 137ms
  • Memory: 81832kb
  • [2024-10-07 12:27:44]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;

#define cctie ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define all(x) x.begin(), x.end()
#define ALL(x) x.begin() + 1, x.end()

using i64 = long long;
using i128 = __int128;

constexpr int P = 998244353, N = 10000010;
int fact[N], finv[N];

int ksm(int a, int b = P - 2, const int p = P) {
    int ret = 1 % p;
    while (b) {
        if (b & 1) ret = 1LL * ret * a % p;
        b >>= 1;
        a = 1LL * a * a % p;
    }
    return ret;
}
int inv(int x) {
    return ksm(x);
}
int comb(int a, int b) {
    if (a < b) {
        return 0;
    }
    return 1LL * fact[a] * finv[b] % P * finv[a - b] % P;
}

void prework() {
    fact[0] = finv[0] = 1;
    for (int i = 1; i <= N - 10; i++) {
        fact[i] = 1LL * fact[i - 1] * i % P;
    }
    finv[N - 10] = inv(fact[N - 10]);
    for (int i = N - 10 - 1; i >= 1; i--) {
        finv[i] = 1LL * finv[i + 1] * (i + 1) % P;
    }
}

int main() {
    cctie;

    prework();

    int n;
    cin >> n;

    int ans = 0;
    for (int x = 1; x <= n; x++) {
        ans = (ans + 1LL * comb(n - x, x - 1) * fact[x - 1] % P * fact[n - x] % P) % P;
    }

    cout << ans << '\n';

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 75ms
memory: 81752kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 80ms
memory: 81828kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 79ms
memory: 81700kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 87ms
memory: 81828kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 75ms
memory: 81740kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 75ms
memory: 81672kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 86ms
memory: 81672kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 87ms
memory: 81696kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 95ms
memory: 81680kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 83ms
memory: 81772kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 79ms
memory: 81760kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 87ms
memory: 81808kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 86ms
memory: 81736kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 82ms
memory: 81824kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 124ms
memory: 81808kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 127ms
memory: 81828kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 122ms
memory: 81676kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 97ms
memory: 81832kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 109ms
memory: 81704kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 97ms
memory: 81808kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 137ms
memory: 81668kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 121ms
memory: 81824kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 136ms
memory: 81764kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"