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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#402058#6736. Alice and Bobiwew#AC ✓148ms159956kbC++201.1kb2024-04-29 20:22:212024-04-29 20:22:23

Judging History

你现在查看的是最新测评结果

  • [2024-04-29 20:22:23]
  • 评测
  • 测评结果:AC
  • 用时:148ms
  • 内存:159956kb
  • [2024-04-29 20:22:21]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

const int N = 1e7 + 10, mod = 998244353;

ll fac[N], infac[N];

ll qpow(ll a, ll b) {
    ll res = 1;
    while(b) {
        if(b & 1) res = res * a % mod;
        a = a * a % mod;
        b >>= 1;
    }
    return res;
}

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

ll sub(ll a, ll b) {
    return (a - b + mod) % mod;
}

ll C(int n, int m) {
    return fac[n] * infac[m] % mod * infac[n - m] % mod;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    init();
    int n;
    cin >> n;
    ll ans = 0;
    for(int i = 1; i <= n; i ++ ) {
        ll res = fac[n - 1];
        if(n - i >= i - 1) {
            res = sub(res, C(n - i, i - 1) * fac[i - 1] % mod * fac[n - i] % mod);
        }
        ans = (ans + res) % mod;
    }
    cout << sub(fac[n], ans) << '\n';
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 78ms
memory: 159932kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 84ms
memory: 159760kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 89ms
memory: 159868kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 82ms
memory: 159956kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 89ms
memory: 159824kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 77ms
memory: 159888kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 85ms
memory: 159932kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 85ms
memory: 159796kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 74ms
memory: 159856kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 86ms
memory: 159892kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 77ms
memory: 159888kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 78ms
memory: 159800kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 100ms
memory: 159828kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 90ms
memory: 159932kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 127ms
memory: 159888kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 142ms
memory: 159888kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 114ms
memory: 159948kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 102ms
memory: 159952kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 117ms
memory: 159880kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 99ms
memory: 159792kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 148ms
memory: 159796kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 140ms
memory: 159892kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 137ms
memory: 159876kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"