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 int
const int mxn=3e3+2,M=1e9+7;
int n,m;
ll dp[3][mxn];
int main(){
cin>>n>>m;
for(int i=0;i<=m;i++){
dp[0][i]=1;
}
dp[1][0]=dp[2][0]=1;
for(int i=1;i<=n;i++){
for(int j=1;j<=m;j++){
ll x1=(j>1)?(j*(j-1))/2*dp[(i+2)%3][j-2]:0;
ll x2=(i>1)?j*(i-1)*dp[(i+1)%3][j-1]:0;
ll x3=j*4*dp[(i+2)%3][j-1];
ll x4=dp[(i+2)%3][j];
dp[i%3][j]=(x1+x2+x3+x4)%M;
//cout<<dp[i%3][j]<<" ";
}
//cout<<endl;
}
cout<<dp[n%3][m]-1<<endl;
}
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