#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
const int mxN = 3e3 + 5;
ll n,m,mod = 1e9 + 7,dp[mxN][mxN],pw;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
// 0 -- n 1 -- s 2 -- e 3 -- w
cin >> n >> m;
for(int i = 1; i <= m; i++){
dp[1][i] = (4 + pw + dp[1][i - 1]) % mod;
pw++;
}
for(int i = 1; i <= m; i++) dp[1][i] = (dp[1][i] + 1) % mod;
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 = 2; i <= n; i++){
for(int j = 1; j <= m; j++){
dp[i][j] = (dp[i - 1][j - 1] * 4 + dp[i - 2][j - 1] * (i - 1)) % mod;
if(j > 1) dp[i][j] = (dp[i][j] + dp[i - 1][j - 2] * (j - 1) + (i - 1) * (j - 1) * dp[i - 1][j - 2]) % mod;
dp[i][j] = (dp[i][j] + dp[i][j - 1] + dp[i - 1][j - 1] * (i - 1) * 4 + dp[i - 2][j - 1] * (i - 1) * (i - 2) / 2) % mod;
}
}
cout << (dp[n][m] - 1 + mod) % mod;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
2648 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
8540 KB |
Output is correct |
11 |
Correct |
0 ms |
2392 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
2648 KB |
Output is correct |
4 |
Correct |
1 ms |
6492 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
6492 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
6492 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
8540 KB |
Output is correct |
11 |
Correct |
0 ms |
2392 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
6 ms |
55644 KB |
Output is correct |
15 |
Correct |
47 ms |
66260 KB |
Output is correct |
16 |
Correct |
3 ms |
6492 KB |
Output is correct |
17 |
Correct |
11 ms |
17012 KB |
Output is correct |
18 |
Correct |
14 ms |
29304 KB |
Output is correct |
19 |
Correct |
51 ms |
70232 KB |
Output is correct |
20 |
Correct |
44 ms |
57948 KB |
Output is correct |
21 |
Correct |
28 ms |
39512 KB |
Output is correct |
22 |
Correct |
29 ms |
51804 KB |
Output is correct |
23 |
Correct |
20 ms |
70404 KB |
Output is correct |
24 |
Correct |
71 ms |
70996 KB |
Output is correct |
25 |
Correct |
52 ms |
62296 KB |
Output is correct |
26 |
Correct |
59 ms |
68188 KB |
Output is correct |
27 |
Correct |
69 ms |
70236 KB |
Output is correct |