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 long long MOD = 1e9+7;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
long long n,m;
cin >> n >> m;
long long dp[n+1][m+1];
for(long long i = 0; i <= m; i++) {
dp[0][i] = 1;
}
for(long long i = 0; i <= n; i++) {
dp[i][0] = 1;
}
for(long long i = 1; i <= n; i++) {
for(long long j = 1; j <= m; j++) {
dp[i][j] = 0;
dp[i][j]+=dp[i-1][j];
if(j >= 2) {
dp[i][j]+=(((j*(j-1)/2))%MOD)*dp[i-1][j-2];
}
dp[i][j]+=4*j*dp[i-1][j-1];
if(i >= 2) {
dp[i][j]+=j*(i-1)*dp[i-2][j-1];
}
dp[i][j]%=MOD;
}
}
cout << (dp[n][m]-1+MOD)%MOD;
return 0;
}
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