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;
const long long MX=3300;
long long dp[MX][MX];
long long cntdp(long long n,long long m)
{
if(n<=0 || m<=0)
{
return 1;
}
if(dp[n][m])
{
return dp[n][m];
}
dp[n][m]=cntdp(n-1,m);
dp[n][m]=(cntdp(n-1,m-1)*4*m+dp[n][m])%MOD;
dp[n][m]=((cntdp(n-1,m-2)*(m*(m-1)/2))%MOD+dp[n][m])%MOD;
dp[n][m]=((cntdp(n-2,m-1)*m*(n-1))%MOD+dp[n][m])%MOD;
return dp[n][m];
}
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
long long n,m;
cin>>n>>m;
cout<<(cntdp(n,m)-1+MOD)%MOD<<"\n";
return 0;
}
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