This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#include<bits/stdc++.h>
using namespace std;
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define sz(a) a.size()
#define pf push_front
#define pb push_back
#define vt vector
#define s second
#define f first
#define nl '\n'
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
vt<pii> rid = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
vt<pii> dir = {{-1, -1}, {-1, 1}, {1, -1}, {1, 1}};
const int N = 1e6 + 5, mod = 1e9 + 7;
const ll inf = 1e9;
double eps = 1e-15;
bool fl = 0;
void slv() {
int n, m;
cin >> n >> m;
ll dp[n + 1][m + 1];
for (int i = 0; i <= n; i++) {
for (int j = 0; j <= m; j++) {
dp[i][j] = (!i || !j);
}
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dp[i][j] = (dp[i - 1][j - 1] * 4 * j) % mod;
dp[i][j] = (dp[i][j] + dp[i - 1][j]) % mod;
if (j > 1) dp[i][j] = (dp[i][j] + dp[i - 1][j - 2] * j * (j - 1) / 2) % mod;
if (i > 1) dp[i][j] = (dp[i][j] + dp[i - 2][j - 1] * j * (i - 1)) % mod;
}
}
cout << dp[n][m] - 1;
}
int main() {
//freopen("shops.in", "r", stdin);
//freopen("shops.out", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
int tp = 1;
if (fl) cin >> tp;
while (tp--) {
slv();
}
}
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