// dp[i][j] -> dp[i+1][j] * j
// dp[i][j] -> dp[i+1][j+1] * (i-j+1);
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod = 1e9 + 7;
int dp[3002][3002];
int n, k;
int32_t main() {
int n, k;
cin >> n >> k;
dp[0][0] = 1;
for (int i = 0; i <= n; i++) for (int j = 0; j <= k; j++) {
dp[i+1][j] += dp[i][j] * j % mod;
dp[i+1][j] %= mod;
dp[i+1][j+1] += dp[i][j] * (i-j+1) % mod;
dp[i+1][j+1] %= mod;
}
cout << dp[n][k] << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
444 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
444 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1884 KB |
Output is correct |
15 |
Correct |
2 ms |
2140 KB |
Output is correct |
16 |
Correct |
2 ms |
2236 KB |
Output is correct |
17 |
Correct |
1 ms |
1116 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
1 ms |
1116 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
444 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1884 KB |
Output is correct |
15 |
Correct |
2 ms |
2140 KB |
Output is correct |
16 |
Correct |
2 ms |
2236 KB |
Output is correct |
17 |
Correct |
1 ms |
1116 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
1 ms |
1116 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
4440 KB |
Output is correct |
22 |
Correct |
3 ms |
4444 KB |
Output is correct |
23 |
Correct |
6 ms |
7812 KB |
Output is correct |
24 |
Correct |
8 ms |
8284 KB |
Output is correct |
25 |
Correct |
10 ms |
11868 KB |
Output is correct |
26 |
Correct |
11 ms |
12156 KB |
Output is correct |
27 |
Correct |
11 ms |
12124 KB |
Output is correct |
28 |
Correct |
4 ms |
5212 KB |
Output is correct |
29 |
Correct |
1 ms |
1372 KB |
Output is correct |
30 |
Correct |
11 ms |
11868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
444 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
860 KB |
Output is correct |
12 |
Correct |
1 ms |
1628 KB |
Output is correct |
13 |
Correct |
1 ms |
1628 KB |
Output is correct |
14 |
Correct |
1 ms |
1884 KB |
Output is correct |
15 |
Correct |
2 ms |
2140 KB |
Output is correct |
16 |
Correct |
2 ms |
2236 KB |
Output is correct |
17 |
Correct |
1 ms |
1116 KB |
Output is correct |
18 |
Correct |
1 ms |
1628 KB |
Output is correct |
19 |
Correct |
1 ms |
1116 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
2 ms |
4440 KB |
Output is correct |
22 |
Correct |
3 ms |
4444 KB |
Output is correct |
23 |
Correct |
6 ms |
7812 KB |
Output is correct |
24 |
Correct |
8 ms |
8284 KB |
Output is correct |
25 |
Correct |
10 ms |
11868 KB |
Output is correct |
26 |
Correct |
11 ms |
12156 KB |
Output is correct |
27 |
Correct |
11 ms |
12124 KB |
Output is correct |
28 |
Correct |
4 ms |
5212 KB |
Output is correct |
29 |
Correct |
1 ms |
1372 KB |
Output is correct |
30 |
Correct |
11 ms |
11868 KB |
Output is correct |
31 |
Runtime error |
32 ms |
25152 KB |
Execution killed with signal 11 |
32 |
Halted |
0 ms |
0 KB |
- |