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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#198645#6736. Alice and BobJJBOOMAC ✓128ms159832kbC++14946b2023-10-03 15:59:122023-10-03 15:59:12

Judging History

你现在查看的是最新测评结果

  • [2023-10-03 15:59:12]
  • 评测
  • 测评结果:AC
  • 用时:128ms
  • 内存:159832kb
  • [2023-10-03 15:59:12]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int mo = 998244353;
const int maxn = 1e7+9;
long long fac[maxn];
long long invfac[maxn];

long long power(int a, int b) {
	long long ans = 1;
	for (; b; b >>= 1, a = 1LL * a * a % mo) {
		if (b & 1) {
			ans *= a;
			ans %= mo;
		}
	}	
	return ans;
}

void ppre(){
	fac[0] = 1;
	for(int i = 1; i < maxn; ++ i){
		fac[i] = 1LL * fac[i-1] * i;
		fac[i] %= mo;
	}
	
	invfac[maxn - 1] = power(fac[maxn - 1], mo - 2);
	for (int i = maxn - 1; i; i--) {
		invfac[i - 1] = 1LL * invfac[i] * i % mo;
	}
//	cout << invfac[2] << "\n";
	assert(1LL * fac[2] * invfac[2] % mo == 1);
}

int main(){
	ppre();
	int n;
	cin >> n;
	long long ans = 0;
	
	for(int i = 1; n - 2 * i + 1 >= 0; ++ i){
		ans = (ans + 1LL * fac[n - i] * invfac[i - 1] % mo * invfac[n - 2 * i + 1] % mo * fac[i - 1] % mo * fac[n - i] % mo) % mo;
	}
	
	cout << ans << "\n";
	return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 65ms
memory: 159664kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 52ms
memory: 159832kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 103ms
memory: 159664kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 87ms
memory: 159664kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 100ms
memory: 159672kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 90ms
memory: 159796kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 92ms
memory: 159664kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 75ms
memory: 159628kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 85ms
memory: 159680kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 99ms
memory: 159784kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 75ms
memory: 159628kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 79ms
memory: 159792kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 35ms
memory: 159672kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 51ms
memory: 159660kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 117ms
memory: 159656kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 105ms
memory: 159632kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 103ms
memory: 159676kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 111ms
memory: 159784kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 107ms
memory: 159832kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 88ms
memory: 159672kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 116ms
memory: 159784kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 75ms
memory: 159600kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 128ms
memory: 159628kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"