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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#393299#6736. Alice and BobPHarr#AC ✓628ms81860kbC++20768b2024-04-18 14:15:102024-04-18 14:15:10

Judging History

This is the latest submission verdict.

  • [2024-04-18 14:15:10]
  • Judged
  • Verdict: AC
  • Time: 628ms
  • Memory: 81860kb
  • [2024-04-18 14:15:10]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;

#define ll long long

const int N = 1e7 + 7;

const ll P = 998244353;

ll fac[N];

ll qkm(ll a,ll b){
	ll res = 1;

	while (b){
		if (b & 1) res = res * a % P;
		a = a * a % P;
		b >>= 1;
	}

	return res;
}

int n;

ll A(int x,int y){
	if (y > x) return 0;
	return fac[x] * qkm(fac[x - y],P - 2) %  P;
}

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

    cin >> n;

    ll ans = 0;

    fac[0] = 1;
    for (int i = 1;i <= n;i++){
        fac[i] = fac[i - 1] * i % P;
    }
    ans = fac[n];
    for (int x = 1;x <= n;x++){
    	ans = ( ans - A(n-x,x-1) * fac[n-x] % P + P )% P; 
    }

    cout << ((fac[n] - ans) % P + P) % P;

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3648kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 83ms
memory: 14784kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 462ms
memory: 62868kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 499ms
memory: 67288kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 384ms
memory: 51560kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 226ms
memory: 31180kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 430ms
memory: 58100kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 172ms
memory: 26412kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 620ms
memory: 81756kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 626ms
memory: 81860kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 628ms
memory: 81776kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"