This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// In the name of Allah
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(),(x).end()
#define len(x) ((ll) (x).size())
#define F first
#define S second
#define pb push_back
#define sep ' '
#define endl '\n'
#define Mp make_pair
#define debug(x) cerr << #x << ": " << x << endl;
#define kill(x) cout << x << '\n', exit(0);
#define set_dec(x) cout << fixed << setprecision(x);
#define file_io(x,y) freopen(x, "r", stdin); freopen(y, "w", stdout);
int n, m;
const int maxn = 3000 + 4;
const int mod = 1e9 + 7;
ll dp[maxn][maxn];
int main() {
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> n >> m;
for (int i = 0; i <= n; i++) {
for (int j = 0; j <= m; j++) dp[i][j] = 1;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dp[i][j] = dp[i - 1][j];
if (j - 2 >= 0) dp[i][j] += (1ll * (j * (j - 1) / 2)) % mod * dp[i - 1][j - 2] % mod;
if (i - 2 >= 0) dp[i][j] += (1ll * j * (i - 1)) % mod * dp[i - 2][j - 1] % mod;
dp[i][j] += (4ll * j) % mod * dp[i - 1][j - 1] % mod;
dp[i][j] %= mod;
}
}
cout << (dp[n][m] - 1 + mod) % mod << endl;
return 0;
}
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