This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <string.h>
using namespace std;
#define mod 1000000007
int dp[3005][3005];
int solve(int n,int m)
{
if (!n || !m)
return 1;
if (dp[n][m]!=-1)
return dp[n][m];
int ans=(solve(n-1,m)+4LL*m*solve(n-1,m-1))%mod;
if (m>=2)
ans=(ans+1LL*m*(m-1)/2*solve(n-1,m-2))%mod;
if (n>=2)
ans=(ans+(n-1LL)*m*solve(n-2,m-1))%mod;
return dp[n][m]=ans;
}
int main()
{
int n,m;
cin >> n >> m;
memset(dp,-1,sizeof(dp));
cout << (solve(n,m)-1+mod)%mod;
}
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