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;
long long dp[3005][3005];
int main()
{
int n, m;
cin >> n >> m;
long long mod=1e9+7;
for (int i=0; i<=3000; i++)
dp[i][0]=dp[0][i]=1;
for (int i=1; i<=3000; i++)
{
for (int j=1; j<=3000; j++)
{
dp[i][j]+=dp[i-1][j];
dp[i][j]+=dp[i-1][j-1]*4*j;
if (j>=2)
dp[i][j]+=dp[i-1][j-2]*j*(j-1)/2;
if (i >= 2)
dp[i][j]+=dp[i-2][j-1]*(i-1)*j;
dp[i][j]%=mod;
}
}
cout << dp[n][m]-1;
return 0;
}
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