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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#639490#6736. Alice and BobNyansAC ✓130ms159960kbC++141.0kb2024-10-13 19:57:042024-10-13 19:57:05

Judging History

你现在查看的是最新测评结果

  • [2024-10-13 19:57:05]
  • 评测
  • 测评结果:AC
  • 用时:130ms
  • 内存:159960kb
  • [2024-10-13 19:57:04]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = long long;
const int N = 1e7;
const int mod = 998244353;

i64 fac[10000010], ifac[10000010];

i64 fp(i64 a, i64 b) {
    i64 t = 1;
    for (; b; b >>= 1, a = a * a % mod) {
        if (b & 1) {
            t = t * a % mod;
        }
    }
    return t;
}

void init() {
    fac[0] = 1;
    for (int i = 1; i <= N; ++i) {
        fac[i] = 1ll * i * fac[i - 1] % mod;
    }
    ifac[N] = fp(fac[N], mod - 2);
    for (int i = N - 1; i >= 0; i--) {
        ifac[i] = 1ll * (i + 1) * ifac[i + 1] % mod;
    }
}

i64 binom(int n, int m) {
    if (n < m || n < 0 || m < 0) {
        return 0;
    }
    return fac[n] * ifac[m] % mod * ifac[n - m] % mod;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);

    init();
    int n; std::cin >> n;
    i64 ans = 0;
    for (int i = 1; i <= n; ++i) {
        i64 t = fac[n - i] * fac[i - 1] % mod * binom(n - i, i - 1) % mod;
        ans = (ans + t) % mod;
    }

    std::cout << ans << "\n";
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 85ms
memory: 159892kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 82ms
memory: 159904kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 89ms
memory: 159960kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 85ms
memory: 159908kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 86ms
memory: 159956kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 86ms
memory: 159888kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 77ms
memory: 159896kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 89ms
memory: 159896kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 82ms
memory: 159880kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 85ms
memory: 159832kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 81ms
memory: 159836kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 78ms
memory: 159912kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 81ms
memory: 159848kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 87ms
memory: 159840kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 109ms
memory: 159856kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 119ms
memory: 159940kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 111ms
memory: 159836kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 103ms
memory: 159840kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 107ms
memory: 159908kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 97ms
memory: 159848kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 119ms
memory: 159916kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 130ms
memory: 159908kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 119ms
memory: 159840kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"