#include <iostream>
#include <iomanip>
#include <cstring>
using namespace std;
typedef long long LL;
const LL mod = 1e9 + 7;
int n, s, t;
LL dp[2005][2005];
LL f(int pos, int cc){
if (pos > n) return cc == 1; // base case, reached if cc = 1 when we reach end position
if (pos > 1 && cc < 1) return 0; // once pos after 1, impossible as we have at least 1 contiguous component
LL &ret = dp[pos][cc];
if (ret != -1) return ret;
ret = 0;
//special case --> endpoints
if (!(pos ^ s) || !(pos ^ t)){ // UwU ಠ_ಠ
(ret += f(pos + 1, cc)) %= mod; // already ada.
(ret += f(pos + 1, cc + 1)) %= mod; // desired endpoint not used
} else {
int ends = 2 - (pos > s) - (pos > t);
//new component --> two adjacent will be smaller
(ret += f(pos + 1, cc + 1) * (cc - 1 + ends)) %= mod; // create new component, ends == extra empty spaces due to ends
//merge component --> larger than two adjacent
(ret += f(pos + 1, cc - 1) * (cc - 1)) %= mod;
}
return ret;
}
int main(){
cin >> n >> s >> t;
memset(dp, -1, sizeof(dp));
cout << f(1, 0) << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
31736 KB |
Output is correct |
2 |
Correct |
30 ms |
31736 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
31736 KB |
Output is correct |
2 |
Correct |
30 ms |
31736 KB |
Output is correct |
3 |
Correct |
30 ms |
31948 KB |
Output is correct |
4 |
Correct |
27 ms |
31720 KB |
Output is correct |
5 |
Correct |
30 ms |
31736 KB |
Output is correct |
6 |
Correct |
27 ms |
31744 KB |
Output is correct |
7 |
Correct |
27 ms |
31736 KB |
Output is correct |
8 |
Correct |
29 ms |
31736 KB |
Output is correct |
9 |
Correct |
30 ms |
31744 KB |
Output is correct |
10 |
Correct |
31 ms |
31864 KB |
Output is correct |
11 |
Correct |
27 ms |
31744 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
31736 KB |
Output is correct |
2 |
Correct |
30 ms |
31736 KB |
Output is correct |
3 |
Correct |
30 ms |
31948 KB |
Output is correct |
4 |
Correct |
27 ms |
31720 KB |
Output is correct |
5 |
Correct |
30 ms |
31736 KB |
Output is correct |
6 |
Correct |
27 ms |
31744 KB |
Output is correct |
7 |
Correct |
27 ms |
31736 KB |
Output is correct |
8 |
Correct |
29 ms |
31736 KB |
Output is correct |
9 |
Correct |
30 ms |
31744 KB |
Output is correct |
10 |
Correct |
31 ms |
31864 KB |
Output is correct |
11 |
Correct |
27 ms |
31744 KB |
Output is correct |
12 |
Correct |
25 ms |
31744 KB |
Output is correct |
13 |
Correct |
29 ms |
31736 KB |
Output is correct |
14 |
Correct |
28 ms |
31872 KB |
Output is correct |
15 |
Correct |
26 ms |
31736 KB |
Output is correct |
16 |
Correct |
25 ms |
31872 KB |
Output is correct |
17 |
Correct |
29 ms |
31864 KB |
Output is correct |
18 |
Correct |
27 ms |
31744 KB |
Output is correct |
19 |
Correct |
30 ms |
31844 KB |
Output is correct |
20 |
Correct |
28 ms |
31736 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
31736 KB |
Output is correct |
2 |
Correct |
30 ms |
31736 KB |
Output is correct |
3 |
Correct |
30 ms |
31948 KB |
Output is correct |
4 |
Correct |
27 ms |
31720 KB |
Output is correct |
5 |
Correct |
30 ms |
31736 KB |
Output is correct |
6 |
Correct |
27 ms |
31744 KB |
Output is correct |
7 |
Correct |
27 ms |
31736 KB |
Output is correct |
8 |
Correct |
29 ms |
31736 KB |
Output is correct |
9 |
Correct |
30 ms |
31744 KB |
Output is correct |
10 |
Correct |
31 ms |
31864 KB |
Output is correct |
11 |
Correct |
27 ms |
31744 KB |
Output is correct |
12 |
Correct |
25 ms |
31744 KB |
Output is correct |
13 |
Correct |
29 ms |
31736 KB |
Output is correct |
14 |
Correct |
28 ms |
31872 KB |
Output is correct |
15 |
Correct |
26 ms |
31736 KB |
Output is correct |
16 |
Correct |
25 ms |
31872 KB |
Output is correct |
17 |
Correct |
29 ms |
31864 KB |
Output is correct |
18 |
Correct |
27 ms |
31744 KB |
Output is correct |
19 |
Correct |
30 ms |
31844 KB |
Output is correct |
20 |
Correct |
28 ms |
31736 KB |
Output is correct |
21 |
Correct |
33 ms |
31872 KB |
Output is correct |
22 |
Correct |
36 ms |
31780 KB |
Output is correct |
23 |
Correct |
34 ms |
31744 KB |
Output is correct |
24 |
Correct |
82 ms |
31872 KB |
Output is correct |
25 |
Correct |
80 ms |
31916 KB |
Output is correct |
26 |
Correct |
74 ms |
31872 KB |
Output is correct |
27 |
Correct |
79 ms |
31992 KB |
Output is correct |
28 |
Correct |
53 ms |
31872 KB |
Output is correct |