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 mod = 1e9+7;
long long dp[4004][4004];
int main() {
int n,m;
cin >> n >> m;
for(int i=0; i<=m; i++) {
dp[0][i] = 1;
}
for(int i=1; i<=n; i++) {
for(int j=0; j<=m; j++) {
dp[i][j] += dp[i-1][j];
if(j>=1) {
dp[i][j] += ((dp[i-1][j-1] * j)%mod * 4)%mod;
dp[i][j] %= mod;
}
if(j>=1 && i>=2) {
dp[i][j] += ((dp[i-2][j-1] * j)%mod * (i-1))%mod;
dp[i][j] %= mod;
}
if(i>=1 && j>=2) {
dp[i][j] += (dp[i-1][j-2] * (j*(j-1)/2)%mod)%mod;
dp[i][j] %= mod;
}
}
}
cout << dp[n][m]-1 << endl;
return 0;
}
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