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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#270142#6736. Alice and BobSatsuki#AC ✓123ms159968kbC++201.0kb2023-11-30 15:45:192023-11-30 15:45:20

Judging History

你现在查看的是最新测评结果

  • [2023-11-30 15:45:20]
  • 评测
  • 测评结果:AC
  • 用时:123ms
  • 内存:159968kb
  • [2023-11-30 15:45:19]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e7 + 5;
const int mod = 998244353;
#define endl '\n'
typedef long long ll;
int fac[N], inv[N];
int qs(int a,int b)
{
    int res = 1;
    while(b)
    {
        if(b & 1)res = res * a % mod;
        a = a * a % mod;
        b >>= 1;
    }
    return res;
}
int c(int n,int m)
{
    if(n < 0 || m < 0 || n < m)return 0;
    return fac[n] * inv[m] % mod * inv[n - m] % mod;
}

void solve() 
{
    int n;cin >> n;
    fac[0] = 1;
    for(int i = 1;i <= n;i++)fac[i] = fac[i - 1] * i % mod;
    inv[n] = qs(fac[n], mod - 2);
    
    for(int i = n - 1;i >= 1;i--)
    {
        inv[i] = inv[i + 1] * (i + 1) % mod;
    }
    
    inv[0] = 1;
    int res = 0;
    for(int i = 1;i <= n;i++)
    {
        // cout << c(n - i, i - 1) << endl;
        (res += c(n - i, i - 1) * fac[i - 1] % mod * fac[n - i] % mod) %= mod;
    }
    cout << res << endl;
    

}

signed main()
{
    ios::sync_with_stdio(false);cin.tie(0);
    solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5732kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5784kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5788kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5656kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 0ms
memory: 5656kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 0ms
memory: 5728kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 0ms
memory: 5728kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5716kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 10ms
memory: 30620kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 83ms
memory: 125656kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 95ms
memory: 133636kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 71ms
memory: 101972kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 33ms
memory: 60908kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 62ms
memory: 114028kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 37ms
memory: 51748kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 123ms
memory: 159860kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 112ms
memory: 159968kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 107ms
memory: 159920kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"