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<bits/stdc++.h>
using namespace std;
const long long MOD=1e9+7;
long long dp[3004][3004];
bool iz[3004][3004];
long long rec(long long i, long long j)
{
if (i<0 || j<0) return 0;
if (i==0 || j==0) return 1;
if (iz[i][j]) return dp[i][j];
long long ans=0;
ans=(ans+rec(i-1, j))%MOD;
ans=(ans+rec(i-1, j-1)*4*j)%MOD;
ans=(ans+rec(i-1, j-2)*(j*(j-1)/2))%MOD;
ans=(ans+rec(i-2, j-1)*j*(i-1))%MOD;
iz[i][j]=true;
return dp[i][j]=ans;
}
long long n, m;
int main ()
{
cin>>n>>m;
cout<<rec(n, m)<<endl;
}
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