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;
#define ll long long
ll n,m,dp[3005][3005],MOD=1e9+7;
int main()
{
ios_base::sync_with_stdio(0),cin.tie(0);
cin >> n >> m;
for(int i=0;i<=n;i++)dp[i][0]=1;
for(int i=0;i<=m;i++)dp[0][i]=1;
for(int i=1;i<=n;i++)
{
for(int j=1;j<=m;j++)
{
dp[i][j]+=(dp[i-1][j-1]*(ll)4*j)%MOD;
dp[i][j]%=MOD;
if(j>=2)dp[i][j]+=(dp[i-1][j-2]*((ll)j*(j-1)/2))%MOD;
dp[i][j]%=MOD;
if(i>=2)dp[i][j]+=(dp[i-2][j-1]*(ll)(i-1)*j)%MOD;
dp[i][j]%=MOD;
dp[i][j]+=dp[i-1][j];
dp[i][j]%=MOD;
}
}
printf("%lld\n",(dp[n][m]-1+MOD)%MOD);
}
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