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 int DIM = 3005;
const int MOD = 1000000007;
int dp[DIM][DIM];
int solve(int n, int m) {
if (n < 0 || m < 0) {
return 0; }
if (n == 0 || m == 0) {
return 1; }
if (dp[n][m] != -1) {
return dp[n][m]; }
long long ans = 0;
ans += solve(n - 1, m);
ans += 4LL * solve(n - 1, m - 1) * m;
ans += 1LL * solve(n - 1, m - 2) * m * (m - 1) / 2;
ans += 1LL * solve(n - 2, m - 1) * m * (n - 1);
return dp[n][m] = ans % MOD; }
int main(void) {
// freopen("tents.in", "r", stdin);
// freopen("tents.out", "w", stdout);
int n, m; cin >> n >> m;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
dp[i][j] = -1; } }
cout << (solve(n, m) - 1 + MOD) % MOD;
return 0; }
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