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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#882917#7875. Queue Sortingxiaoliebao1115AC ✓71ms5632kbC++141.4kb2025-02-05 13:20:452025-02-05 13:20:46

Judging History

This is the latest submission verdict.

  • [2025-02-05 13:20:46]
  • Judged
  • Verdict: AC
  • Time: 71ms
  • Memory: 5632kb
  • [2025-02-05 13:20:45]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
const int nn=505,mod=998244353,mzhxi=504;
int n,a[nn],dp[nn][nn],sum,fac[nn],inv[nn],ans;
inline int poww(int x,int y){
	if(y==0) return 1;
	int g=poww(x,y/2);
	if(y&1) return g*g%mod*x%mod;
	return g*g%mod;
}
inline int C(int x,int y){
	if(x<0||y<0||x-y<0) return 0;
	return fac[x]*inv[x-y]%mod*inv[y]%mod;
}
signed main(){
	ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	fac[0]=1;
	for(int i=1;i<=mzhxi;i++) fac[i]=fac[i-1]*i%mod;
	inv[mzhxi]=poww(fac[mzhxi],mod-2);
	for(int i=mzhxi-1;i>=0;i--) inv[i]=inv[i+1]*(i+1)%mod;
	cin>>n;
	for(int i=1;i<=n;i++) cin>>a[i];
dp[0][0] = 1;
	int sum = 0;
	for(int i=0; i<n; i++,sum+=a[i])
	{
		// 全部放前面 
		for(int j=2; j<=sum; j++)
			dp[i+1][j+a[i+1]] = dp[i][j];
		dp[i+1][0] = dp[i][0];
		//枚举前面放多少个(后面至少放一个)
		for(int x=0; x<a[i+1]; x++)
		{
			//枚举剩余部分从哪个位置后面开始放 
			for(int k=1; k<=sum; k++)
			{
				for(int j=k+1; j<=sum; j++)
					dp[i+1][k+1+x] = (1ll*dp[i+1][k+1+x] + 1ll*dp[i][j] * C(j - k - 1 + a[i+1] - x - 1, a[i+1] - x - 1)) % mod;
					
				//j == 0 的情况 
				dp[i+1][k+1+x] = (1ll*dp[i+1][k+1+x] + 1ll*dp[i][0] * C(sum - k + a[i+1] - x - 1, a[i+1] - x - 1)) % mod;
			}
		}
	}

	int ans = 0;
	for(int i=0; i<=sum; i++) ans = (1ll*ans + dp[n][i]) % mod;
	cout << ans << '\n'; 
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3840kb

input:

4
1 1 1 1

output:

14

result:

ok 1 number(s): "14"

Test #2:

score: 0
Accepted
time: 71ms
memory: 4736kb

input:

300
0 5 2 2 1 0 3 2 2 5 2 1 1 2 1 3 2 3 2 0 0 0 0 1 2 2 3 0 2 2 3 2 0 2 3 0 6 0 0 2 0 1 3 2 1 1 1 3 4 0 1 0 4 1 1 1 1 1 1 2 3 2 1 2 3 2 3 0 5 3 3 2 0 1 1 0 2 1 1 2 0 0 2 1 1 3 2 2 1 2 1 3 0 3 0 1 2 2 0 5 0 2 2 0 0 0 1 2 1 4 2 1 1 0 3 0 2 0 3 1 1 2 0 2 1 1 0 2 0 1 2 2 3 3 1 1 1 1 0 1 3 3 1 0 2 2 4 2 ...

output:

507010274

result:

ok 1 number(s): "507010274"

Test #3:

score: 0
Accepted
time: 69ms
memory: 5632kb

input:

500
1 1 0 2 1 0 2 3 2 0 0 2 0 2 1 1 0 0 1 1 1 2 1 1 1 0 1 1 2 2 1 4 0 2 1 0 2 3 1 0 1 1 0 2 1 2 2 1 0 0 3 1 4 1 1 2 1 1 0 1 3 1 2 0 0 0 2 1 2 0 0 3 2 1 1 1 1 1 2 1 0 1 0 0 0 1 0 0 2 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 2 1 1 0 1 1 0 1 1 0 0 1 0 3 1 3 0 0 2 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 2 0 0 ...

output:

7590964

result:

ok 1 number(s): "7590964"

Test #4:

score: 0
Accepted
time: 71ms
memory: 4480kb

input:

200
3 1 0 3 2 1 0 3 1 1 2 3 3 1 6 2 1 3 2 1 1 2 1 2 1 5 2 2 3 4 0 4 2 1 2 2 0 2 3 1 2 3 6 3 2 3 2 2 4 2 7 2 1 5 1 9 0 4 4 8 3 3 3 1 3 0 2 2 8 1 3 5 4 3 0 6 1 6 1 3 4 2 2 1 1 4 4 4 1 0 4 3 4 3 3 0 3 2 0 0 3 4 0 3 1 3 2 4 3 2 0 3 2 2 3 2 2 2 1 2 2 1 0 2 0 3 1 3 5 1 3 3 6 5 3 2 2 2 3 6 2 0 5 2 2 2 2 1 ...

output:

507844569

result:

ok 1 number(s): "507844569"

Test #5:

score: 0
Accepted
time: 15ms
memory: 4096kb

input:

100
4 8 2 5 4 4 3 0 2 7 2 3 4 4 1 2 3 4 4 4 3 3 3 3 3 2 4 1 3 5 5 1 4 6 1 1 1 3 2 3 2 1 0 1 4 4 2 4 2 5 3 5 1 6 2 3 3 1 4 4 4 1 4 4 3 4 2 0 2 3 6 1 3 3 5 4 1 1 2 3 0 3 2 2 1 3 3 2 5 6 3 2 3 3 5 4 2 3 4 4

output:

989550242

result:

ok 1 number(s): "989550242"

Test #6:

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

input:

1
1

output:

1

result:

ok 1 number(s): "1"

Test #7:

score: 0
Accepted
time: 0ms
memory: 5632kb

input:

500
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

output:

1

result:

ok 1 number(s): "1"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

10
2 1 3 3 2 3 1 1 3 1

output:

165452340

result:

ok 1 number(s): "165452340"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

20
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0

output:

2

result:

ok 1 number(s): "2"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

20
0 0 1 0 0 0 0 1 0 0 0 0 0 0 2 0 1 0 0 0

output:

28

result:

ok 1 number(s): "28"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

10
1 1 1 1 1 1 1 1 1 1

output:

16796

result:

ok 1 number(s): "16796"

Test #12:

score: 0
Accepted
time: 15ms
memory: 4864kb

input:

300
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

431279497

result:

ok 1 number(s): "431279497"

Test #13:

score: 0
Accepted
time: 25ms
memory: 3712kb

input:

2
232 268

output:

929717758

result:

ok 1 number(s): "929717758"

Test #14:

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

input:

1
500

output:

1

result:

ok 1 number(s): "1"

Test #15:

score: 0
Accepted
time: 40ms
memory: 3456kb

input:

3
155 180 165

output:

911108550

result:

ok 1 number(s): "911108550"

Extra Test:

score: 0
Extra Test Passed