#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
const ll MOD = 1e9 + 7;
inline ll madd(ll a, ll b) {
a += b;
if (a >= MOD) a -= MOD;
return a;
}
inline ll mmult(ll a, ll b) {
a = (a * b) % MOD;
return a;
}
ll chs[351][351], dp[351][351], dp2[351][351];
int main() {
iostream::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
FOR(i, 0, n + 1) chs[i][0] = 1;
FOR(i, 1, n + 1) FOR(j, 1, i + 1) chs[i][j] = madd(chs[i - 1][j - 1], chs[i - 1][j]);
dp[0][0] = dp2[0][0] = 1;
FOR(i, 1, n + 1) FOR(j, 0, n + 1) {
FOR(k, 0, j + 1) {
if (k != i) dp[i][j] = madd(dp[i][j], mmult(dp[i - 1][j - k], chs[j][k]));
dp2[i][j] = madd(dp2[i][j], mmult(dp2[i - 1][j - k], chs[j][k]));
}
}
ll ans = 0;
FOR(i, 1, n + 1) FOR(j, 0, n - i + 1) {
ans = madd(ans, mmult(mmult(mmult(dp[i - 1][j], chs[n][j]), chs[n - j][i]), dp2[n - i][n - j - i]));
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
504 KB |
Output is correct |
8 |
Correct |
5 ms |
380 KB |
Output is correct |
9 |
Correct |
5 ms |
504 KB |
Output is correct |
10 |
Correct |
5 ms |
504 KB |
Output is correct |
11 |
Correct |
5 ms |
504 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
504 KB |
Output is correct |
14 |
Correct |
5 ms |
504 KB |
Output is correct |
15 |
Correct |
5 ms |
504 KB |
Output is correct |
16 |
Correct |
5 ms |
504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
504 KB |
Output is correct |
8 |
Correct |
5 ms |
380 KB |
Output is correct |
9 |
Correct |
5 ms |
504 KB |
Output is correct |
10 |
Correct |
5 ms |
504 KB |
Output is correct |
11 |
Correct |
5 ms |
504 KB |
Output is correct |
12 |
Correct |
5 ms |
504 KB |
Output is correct |
13 |
Correct |
5 ms |
504 KB |
Output is correct |
14 |
Correct |
5 ms |
504 KB |
Output is correct |
15 |
Correct |
5 ms |
504 KB |
Output is correct |
16 |
Correct |
5 ms |
504 KB |
Output is correct |
17 |
Correct |
74 ms |
2552 KB |
Output is correct |
18 |
Correct |
6 ms |
760 KB |
Output is correct |
19 |
Correct |
19 ms |
1656 KB |
Output is correct |
20 |
Correct |
5 ms |
504 KB |
Output is correct |
21 |
Correct |
100 ms |
2888 KB |
Output is correct |
22 |
Correct |
15 ms |
1528 KB |
Output is correct |
23 |
Correct |
6 ms |
892 KB |
Output is correct |
24 |
Correct |
23 ms |
1788 KB |
Output is correct |
25 |
Correct |
18 ms |
1656 KB |
Output is correct |
26 |
Correct |
32 ms |
1916 KB |
Output is correct |
27 |
Correct |
130 ms |
3192 KB |
Output is correct |
28 |
Correct |
126 ms |
3292 KB |
Output is correct |
29 |
Correct |
127 ms |
3192 KB |
Output is correct |
30 |
Correct |
130 ms |
3184 KB |
Output is correct |
31 |
Correct |
133 ms |
3292 KB |
Output is correct |
32 |
Correct |
132 ms |
3192 KB |
Output is correct |
33 |
Correct |
131 ms |
3192 KB |
Output is correct |
34 |
Correct |
135 ms |
3196 KB |
Output is correct |
35 |
Correct |
136 ms |
3324 KB |
Output is correct |
36 |
Correct |
136 ms |
3192 KB |
Output is correct |
37 |
Correct |
134 ms |
3192 KB |
Output is correct |