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 fi first
#define se second
const int N = 3030;
const int mod = 1e9 + 7;
using namespace std;
void add(int &x, int y)
{
x += y;
if (x >= mod) {
x -= mod;
}
}
int d[N][N];
int main() {
#ifdef zxc
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int n, m;
cin >> n >> m;
for (int i = 0; i < N; i++) {
d[0][i] = d[i][0] = 1;
}
for (int i = 1; i < N; i++) {
d[1][i] = d[i][1] = i * 4 + i * (i - 1) / 2 + 1;
}
for (int i = 2; i <= n; i++) {
for (int j = 2; j <= m; j++) {
add(d[i][j], d[i - 1][j]);
add(d[i][j], d[i - 1][j - 1] * 4ll % mod * j % mod);
add(d[i][j], d[i - 1][j - 2] * (1ll * j * (j - 1) / 2 % mod) % mod);
add(d[i][j], d[i - 2][j - 1] * (1ll * j * (i - 1) % mod) % mod);
}
}
int res = d[n][m] - 1;
if (res < 0) {
res += mod;
}
cout << res << "\n";
}
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