#include<bits/stdc++.h>
using namespace std;
using i64 = long long;
const int mod = 1E9 + 7;
const int _N = 2500;
i64 dp[_N][_N];
/*
dp[i][j] = 已经排了i个数,连通块=j
放入某个块: dp[i][j]=dp[i-1][j]*j
新加一个块: dp[i][j]=dp[i-1][j-1]*j
合并两个块: dp[i][j]=dp[i-1][j+1]*j
若i==A || i==B, 我们不可以用来合并而且也不能随便加入块:
dp[i][j] = dp[i-1][j]只能加入最后一个块/最前一个块
dp[i][j] = dp[i-1][j-1]放上最后一个块/最前一个块
*/
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
int N, A, B; cin >> N >> A >> B;
dp[1][1] = 1;
for (int i = 2; i <= N; i++) {
for (int j = 1; j <= N; j++) {
if (i == A || i == B) {
dp[i][j] += dp[i - 1][j];
dp[i][j] += dp[i - 1][j - 1];
dp[i][j] %= mod;
continue;
}
int cnt = (i > A) + (i > B);
dp[i][j] += dp[i - 1][j - 1] * (j - cnt);//不能放头,不能放尾
dp[i][j] %= mod;
dp[i][j] += dp[i - 1][j + 1] * j;
dp[i][j] %= mod;
}
}
cout << dp[N][1] << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
0 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
604 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
0 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
1392 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
1 ms |
1488 KB |
Output is correct |
15 |
Correct |
1 ms |
1372 KB |
Output is correct |
16 |
Correct |
1 ms |
1372 KB |
Output is correct |
17 |
Correct |
1 ms |
1372 KB |
Output is correct |
18 |
Correct |
1 ms |
1372 KB |
Output is correct |
19 |
Correct |
1 ms |
1368 KB |
Output is correct |
20 |
Correct |
1 ms |
1372 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 |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
604 KB |
Output is correct |
5 |
Correct |
0 ms |
604 KB |
Output is correct |
6 |
Correct |
0 ms |
604 KB |
Output is correct |
7 |
Correct |
0 ms |
604 KB |
Output is correct |
8 |
Correct |
0 ms |
604 KB |
Output is correct |
9 |
Correct |
0 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
600 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
1392 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
1 ms |
1488 KB |
Output is correct |
15 |
Correct |
1 ms |
1372 KB |
Output is correct |
16 |
Correct |
1 ms |
1372 KB |
Output is correct |
17 |
Correct |
1 ms |
1372 KB |
Output is correct |
18 |
Correct |
1 ms |
1372 KB |
Output is correct |
19 |
Correct |
1 ms |
1368 KB |
Output is correct |
20 |
Correct |
1 ms |
1372 KB |
Output is correct |
21 |
Correct |
4 ms |
6236 KB |
Output is correct |
22 |
Correct |
5 ms |
7004 KB |
Output is correct |
23 |
Correct |
5 ms |
7768 KB |
Output is correct |
24 |
Correct |
29 ms |
39392 KB |
Output is correct |
25 |
Correct |
28 ms |
39516 KB |
Output is correct |
26 |
Correct |
28 ms |
39512 KB |
Output is correct |
27 |
Correct |
29 ms |
39132 KB |
Output is correct |
28 |
Correct |
20 ms |
23900 KB |
Output is correct |