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 int long long
#define fi first
#define se second
using namespace std;
const int mod = 1e9 + 7;
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m;
cin >> n >> m;
vector<vector<int>> dp(n + 1, vector<int>(m + 1));
for (int i = 0; i <= n; i++) dp[i][0] = 1;
for (int i = 0; i <= m; i++) dp[0][i] = 1;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dp[i][j] += dp[i - 1][j - 1] * j % mod * 4 % mod;
dp[i][j] %= mod;
if (i - 2 >= 0) {
dp[i][j] += dp[i - 2][j - 1] * (i - 1) % mod * j % mod;
dp[i][j] %= mod;
}
if (j - 2 >= 0) {
dp[i][j] += dp[i - 1][j - 2] * (j * (j - 1) / 2 % mod) % mod;
dp[i][j] %= mod;
}
dp[i][j] += dp[i - 1][j];
dp[i][j] %= mod;
}
}
dp[n][m] -= 1;
dp[n][m] += mod;
dp[n][m] %= mod;
cout << dp[n][m] << '\n';
return 0;
}
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