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>
#define f first
#define s second
using namespace std;
typedef long long ll;
const int N = 3005, mod = 1e9+7;
int n, m;
ll dp[N][N];
int main()
{
cin >> n >> m;
for(int i=0; i<N; i++) dp[i][0] = 1, dp[0][i] = 1;
for(int i=1; i<=n; i++)
{
for(int j=1; j<=m; j++)
{
dp[i][j] = 4 * j * dp[i-1][j-1] + dp[i-1][j], dp[i][j] %= mod;
dp[i][j] += j * (j-1)/2 * dp[i-1][j-2], dp[i][j] %= mod;
dp[i][j] += (i-1) * j * dp[i-2][j-1], dp[i][j] %= mod;
}
}
cout << dp[n][m]-1 << endl;
}
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