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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#507061#8635. 圆LGMaster40 0ms3964kbC++141.3kb2024-08-06 09:42:092024-08-06 09:42:10

Judging History

你现在查看的是最新测评结果

  • [2024-08-06 09:42:10]
  • 评测
  • 测评结果:40
  • 用时:0ms
  • 内存:3964kb
  • [2024-08-06 09:42:09]
  • 提交

answer

#include <cstdio>
#include <iostream>
#include <algorithm> 
#include <cstring>
#include <assert.h> 

using namespace std; 

#define LL long long
#define MOD 998244353
#define MAXN 5000

int n; 
int f[MAXN+1][4]; 
int fac[MAXN+1], fac_inv[MAXN+1]; 

int safe_add(int a, int b) {
	return a + b >= MOD ? a+b-MOD : a+b; 
}

int qpow(LL a, LL b) {
	LL ans = 1; 
	while (b) ans = ans*(1+(a-1)*(b&1))%MOD, a = a*a%MOD, b>>=1; 
	return ans; 
}

void prepare(int n) {
	fac[0] = 1; 
	for (int i = 1; i<=n; i++) fac[i] = 1ll*fac[i-1]*i%MOD; 
	fac_inv[n] = qpow(fac[n], MOD-2); 
	for (int i = n-1; i>=0; i--) fac_inv[i] = 1ll*fac_inv[i+1]*(i+1)%MOD; 
}

signed main() {
	scanf("%d", &n); 
	assert(n >= 3 && n <= 10); 
	prepare(n); 
	for (int i = 0; i<=n; i++) for (int j = 0; j<=3; j++) f[i][j] = 0; 
	int cur = 0; 
	f[0][cur] = 1; 
	for (int i = 1; i<=n; i++) {
		cur = (cur-1+4)&3; 
		f[0][cur] = 0; 
		for (int j = 1; j<=n; j++) {
			f[j][cur] = safe_add(safe_add(f[j-1][(cur+1)&3], f[j-1][(cur+2)&3]), f[j-1][(cur+3)&3]); 
		}
	}
	LL ans = 0; 
	for (int i = 1; i<=n; i++) {
		LL cnt = (1ll*f[i][cur]*fac[i-1]%MOD - 1ll*f[i-1][cur]*fac[i-2]%MOD*(n-i+1)%MOD+MOD)%MOD; 
		ans = (ans + 1ll*cnt*fac_inv[n-1]%MOD*fac[n-i]%MOD*i)%MOD; 
	}
	printf("%lld\n", ans); 
	return 0; 
}

Details

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Pretests


Final Tests

Test #1:

score: 10
Accepted
time: 0ms
memory: 3896kb

input:

3

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 10
Accepted
time: 0ms
memory: 3780kb

input:

4

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 10
Accepted
time: 0ms
memory: 3964kb

input:

6

output:

299473309

result:

ok 1 number(s): "299473309"

Test #4:

score: 10
Accepted
time: 0ms
memory: 3832kb

input:

10

output:

487238321

result:

ok 1 number(s): "487238321"

Test #5:

score: 0
Runtime Error

input:

100

output:


result:


Test #6:

score: 0
Runtime Error

input:

200

output:


result:


Test #7:

score: 0
Runtime Error

input:

500

output:


result:


Test #8:

score: 0
Runtime Error

input:

4798

output:


result:


Test #9:

score: 0
Runtime Error

input:

4999

output:


result:


Test #10:

score: 0
Runtime Error

input:

5000

output:


result: