Submission #463490

#TimeUsernameProblemLanguageResultExecution timeMemory
463490JasiekstrzZapina (COCI20_zapina)C++17
110 / 110
178 ms6020 KiB
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=350;
const int MOD=1e9+7;
long long choose[2*N+10][2*N+10];
long long dp[N+10][N+10][2];
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	int n;
	cin>>n;
	for(int i=0;i<=2*n;i++)
	{
		choose[i][0]=1;
		for(int j=1;j<=i;j++)
			choose[i][j]=(choose[i-1][j]+choose[i-1][j-1])%MOD;
	}
	dp[0][0][0]=1;
	for(int i=1;i<=n;i++)
	{
		for(int j=0;j<=n;j++)
		{
			for(int k=0;k<=j;k++)
			{
				if(k==i)
				{
					dp[i][j][1]=(dp[i][j][1]+dp[i-1][j-k][0]*choose[j][k])%MOD;
					dp[i][j][1]=(dp[i][j][1]+dp[i-1][j-k][1]*choose[j][k])%MOD;
				}
				else
				{
					dp[i][j][0]=(dp[i][j][0]+dp[i-1][j-k][0]*choose[j][k])%MOD;
					dp[i][j][1]=(dp[i][j][1]+dp[i-1][j-k][1]*choose[j][k])%MOD;
				}
			}
			//cerr<<i<<" "<<j<<" "<<dp[i][j][0]<<" "<<dp[i][j][1]<<"\n";
		}
	}
	cout<<dp[n][n][1]<<"\n";
	return 0;
}

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