#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 2023;
const int MOD = 1e9 + 7;
int dp[MAXN][MAXN], n, a, b;
int32_t main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> a >> b;
if(a > b) swap(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-1] + dp[i-1][j]) % MOD;
}
else if(i < a) {
dp[i][j] = (j * dp[i-1][j-1] + j * dp[i-1][j+1]) % MOD;
}
else if(a < i && i < b) {
dp[i][j] = ((j-1) * dp[i-1][j-1] + j * dp[i-1][j+1]) % MOD;
}
else {
dp[i][j] = (max(0ll, j-2) * dp[i-1][j-1] + j * dp[i-1][j+1]) % MOD;
}
}
}
cout << dp[n][1] << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
452 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
452 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
452 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
452 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
1364 KB |
Output is correct |
13 |
Correct |
1 ms |
1236 KB |
Output is correct |
14 |
Correct |
1 ms |
1364 KB |
Output is correct |
15 |
Correct |
1 ms |
1364 KB |
Output is correct |
16 |
Correct |
1 ms |
1352 KB |
Output is correct |
17 |
Correct |
1 ms |
1364 KB |
Output is correct |
18 |
Correct |
1 ms |
1236 KB |
Output is correct |
19 |
Correct |
1 ms |
1364 KB |
Output is correct |
20 |
Correct |
1 ms |
1364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
1 ms |
452 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
468 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
452 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
1364 KB |
Output is correct |
13 |
Correct |
1 ms |
1236 KB |
Output is correct |
14 |
Correct |
1 ms |
1364 KB |
Output is correct |
15 |
Correct |
1 ms |
1364 KB |
Output is correct |
16 |
Correct |
1 ms |
1352 KB |
Output is correct |
17 |
Correct |
1 ms |
1364 KB |
Output is correct |
18 |
Correct |
1 ms |
1236 KB |
Output is correct |
19 |
Correct |
1 ms |
1364 KB |
Output is correct |
20 |
Correct |
1 ms |
1364 KB |
Output is correct |
21 |
Correct |
3 ms |
6228 KB |
Output is correct |
22 |
Correct |
4 ms |
6852 KB |
Output is correct |
23 |
Correct |
4 ms |
7764 KB |
Output is correct |
24 |
Correct |
21 ms |
31940 KB |
Output is correct |
25 |
Correct |
19 ms |
31948 KB |
Output is correct |
26 |
Correct |
20 ms |
31940 KB |
Output is correct |
27 |
Correct |
21 ms |
31828 KB |
Output is correct |
28 |
Correct |
14 ms |
23776 KB |
Output is correct |