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;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
#define Debug(...) fprintf(stderr, __VA_ARGS__)
typedef long long LL;
typedef long double LD;
typedef unsigned int uint;
typedef pair <int, int> pii;
typedef unsigned long long uLL;
template <typename T> inline void Read(T &x) {
char c = getchar();
bool f = false;
for (x = 0; !isdigit(c); c = getchar()) {
if (c == '-') {
f = true;
}
}
for (; isdigit(c); c = getchar()) {
x = x * 10 + c - '0';
}
if (f) {
x = -x;
}
}
template <typename T> inline bool CheckMax(T &a, const T &b) {
return a < b ? a = b, true : false;
}
template <typename T> inline bool CheckMin(T &a, const T &b) {
return a > b ? a = b, true : false;
}
const int N = 3005;
const int mod = 1e9 + 7;
int n, m, ans, f[N][N];
int main() {
#ifdef wxh010910
freopen("d.in", "r", stdin);
#endif
Read(n), Read(m), f[0][m] = 1;
for (int i = 1; i <= n; ++i) {
for (int j = 0; j <= m; ++j) {
f[i][j] = (1LL * (j + 2) * (j + 1) / 2 * f[i - 1][j + 2] + 4LL * (j + 1) * f[i - 1][j + 1] + f[i - 1][j]) % mod;
if (i >= 2) {
f[i][j] = (1LL * (i - 1) * (j + 1) * f[i - 2][j + 1] + f[i][j]) % mod;
}
}
}
for (int i = 0; i <= m; ++i) {
ans = (ans + f[n][i]) % mod;
}
printf("%d\n", (ans + mod - 1) % mod);
#ifdef wxh010910
Debug("My Time: %.3lfms\n", (double)clock() / CLOCKS_PER_SEC);
#endif
return 0;
}
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