#include <bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define all(x) x.begin(), x.end()
#define u_map unordered_map
const int maxn = 3e3 + 5, mod = 1e9 + 7;
ll dp[maxn][maxn];
ll c(int a) {
return (a * (a - 1) / 2) % mod;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, m;
cin >> n >> m;
for (int i = 0; i <= n; i++) {
dp[i][0] = 1;
}
for (int i = 0; i <= m; i++) {
dp[0][i] = 1;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
dp[i][j] = dp[i][j - 1];
dp[i][j] = (dp[i][j] + (((i) * 4 % mod) * dp[i - 1][j - 1] % mod)) % mod;
dp[i][j] = (dp[i][j] + (((i) * (j - 1) % mod) * dp[i - 1][j - 2] % mod)) % mod;
dp[i][j] = (dp[i][j] + c(i) * dp[i - 2][j - 1] % mod) % mod;
}
}
cout << (dp[n][m] - 1 + mod) % mod;
return 0;
}
// dp[1][1] = 4;
// dp[2][1] = 9;
// dp[1][2] = 9;
// dp[1][3] = 15;
// dp[3][1] = 15;
// dp[2][3];
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
6500 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
2 ms |
6488 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
8540 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
6500 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
2 ms |
6488 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
4440 KB |
Output is correct |
10 |
Correct |
2 ms |
8540 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
11 ms |
55816 KB |
Output is correct |
15 |
Correct |
85 ms |
66140 KB |
Output is correct |
16 |
Correct |
6 ms |
6488 KB |
Output is correct |
17 |
Correct |
19 ms |
16988 KB |
Output is correct |
18 |
Correct |
25 ms |
29300 KB |
Output is correct |
19 |
Correct |
97 ms |
70232 KB |
Output is correct |
20 |
Correct |
79 ms |
57948 KB |
Output is correct |
21 |
Correct |
52 ms |
39760 KB |
Output is correct |
22 |
Correct |
54 ms |
51804 KB |
Output is correct |
23 |
Correct |
34 ms |
70480 KB |
Output is correct |
24 |
Correct |
132 ms |
70996 KB |
Output is correct |
25 |
Correct |
100 ms |
62180 KB |
Output is correct |
26 |
Correct |
114 ms |
68188 KB |
Output is correct |
27 |
Correct |
127 ms |
70488 KB |
Output is correct |