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 int N = 3e3;
const int mod = 1e9 + 7;
int dp[N + 1][N + 1];
int main(){
int n,m;
cin>>n>>m;
dp[0][0] = 1;
for(int i = 0;i <= n;i++){
for(int j = 0;j <= m;j++){
if(i == 0 || j == 0){
dp[i][j] = 1;
continue;
}
dp[i][j] = dp[i - 1][j];
dp[i][j] = (dp[i][j] + 1ll*4*j*dp[i - 1][j - 1]%mod)%mod;
if(i >= 2)dp[i][j] = (dp[i][j] + 1ll*j*(i - 1)*dp[i - 2][j - 1]%mod)%mod;
if(j >= 2)dp[i][j] = (dp[i][j] + 1ll*j*(j - 1)/2*dp[i - 1][j - 2]%mod)%mod;
//cout<<dp[i][j]<<' ';
}
//cout<<'\n';
}
cout<<(dp[n][m] - 1 + mod)%mod<<' ';
return 0;
}
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