QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#220649#6736. Alice and Bobycccc319#AC ✓172ms238104kbC++171.0kb2023-10-20 16:57:262023-10-20 16:57:26

Judging History

你现在查看的是最新测评结果

  • [2023-10-20 16:57:26]
  • 评测
  • 测评结果:AC
  • 用时:172ms
  • 内存:238104kb
  • [2023-10-20 16:57:26]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
#define ll long long
const int N = 10000010;
const int mod = 998244353;
ll jc[N + 1];
ll iv[N + 1];
ll ivjc[N + 1];

void init() {
    jc[0] = jc[1] = 1;
    iv[0] = iv[1] = 1;
    ivjc[0] = ivjc[1] = 1;
    for (int i = 2; i <= N; i++) {
        jc[i] = jc[i - 1] * i % mod;
        iv[i] = (mod - mod / i) * iv[mod % i] % mod;
        ivjc[i] = ivjc[i - 1] * iv[i] % mod;
    }
}

ll C(ll n, ll m) {
    if (n < m)return 0;
    else return jc[n] * ivjc[m] % mod * ivjc[n - m] % mod;
}
ll A(ll n, ll m)
{
    if(n<m) return 0;
    else return jc[n] * ivjc[n-m] % mod;
}
int main()
{
    init();
//    cout<<A(2,1)<<" "<<A(2,2);
    int n;
    cin>>n;
    if(n==1)
    {
        cout<<1;
        return 0;
    }
    ll ans=0;
    for(int i=n;i>=1;i--)
    {
//        cout<<A(n-i,i-1)*A(n-i,n-i)<<"\n";
        ans=(ans+(jc[n-1]-A(n-i,i-1)*A(n-i,n-i)%mod)%mod+mod)%mod;
    }
    cout<<((jc[n]-ans)%mod+mod)%mod;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 127ms
memory: 237956kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 144ms
memory: 237956kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 158ms
memory: 238024kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 107ms
memory: 238024kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 132ms
memory: 238048kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 104ms
memory: 238020kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 145ms
memory: 237968kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 131ms
memory: 237956kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 105ms
memory: 238032kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 128ms
memory: 237980kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 112ms
memory: 238088kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 120ms
memory: 238040kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 147ms
memory: 237960kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 119ms
memory: 237956kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 163ms
memory: 238080kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 153ms
memory: 237956kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 158ms
memory: 238088kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 104ms
memory: 238104kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 122ms
memory: 238032kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 119ms
memory: 238088kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 145ms
memory: 238032kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 172ms
memory: 237900kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 164ms
memory: 237908kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"