/*
dp[node][state];
state 0 : the node before me is a server
state 1 : the node before me isn't a server but it's covered by a server
state 2 : the node before me is a server but it's not covered by a server
*/
#include <bits/stdc++.h>
using namespace std;
using ii = pair<int,int>;
using ll = long long;
const int mod = 1e9 + 7;
const int N = 2005;
inline void fmin(int &x, int y){if(x > y)x=y;}
inline void fmax(int &x, int y){if(x < y)x=y;}
inline void add(int &x, int y){if((x+=y) >= mod)x-=mod;}
int n, cs, cf;
int dp[N][N];
int main(){
#ifdef ONLINE_JUDGE
ios_base::sync_with_stdio(0);
cin.tie(0);
#endif // ONLINE_JUDGE
cin >> n >> cs >> cf;
dp[0][0] = 1;
for(int i = 1; i < n; i++){
if(i == cs ||i== cf){
for(int j = 0; j < i; j++)
add(dp[i][j], dp[i-1][j]);
for(int j = 0; j < i; j++)
add(dp[i][j-1], dp[i-1][j] * 1ll * j % mod);
} else {
for(int j = 0; j < i; j++){
if(j >= 2)
add(dp[i][j-1], dp[i-1][j] * 1ll * j % mod * 1ll * (j-1) % mod);
if(i >= cs)
add(dp[i][j-1],dp[i-1][j] * 1ll * j % mod);
if(i >= cf)
add(dp[i][j-1],dp[i-1][j] * 1ll * j % mod);
add(dp[i][j+1], dp[i-1][j]);
}
}
}
cout << dp[n-1][0] << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
544 KB |
Output is correct |
4 |
Correct |
2 ms |
608 KB |
Output is correct |
5 |
Correct |
2 ms |
688 KB |
Output is correct |
6 |
Correct |
2 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
788 KB |
Output is correct |
8 |
Correct |
2 ms |
788 KB |
Output is correct |
9 |
Correct |
2 ms |
796 KB |
Output is correct |
10 |
Correct |
2 ms |
800 KB |
Output is correct |
11 |
Correct |
2 ms |
804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
544 KB |
Output is correct |
4 |
Correct |
2 ms |
608 KB |
Output is correct |
5 |
Correct |
2 ms |
688 KB |
Output is correct |
6 |
Correct |
2 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
788 KB |
Output is correct |
8 |
Correct |
2 ms |
788 KB |
Output is correct |
9 |
Correct |
2 ms |
796 KB |
Output is correct |
10 |
Correct |
2 ms |
800 KB |
Output is correct |
11 |
Correct |
2 ms |
804 KB |
Output is correct |
12 |
Correct |
3 ms |
1448 KB |
Output is correct |
13 |
Correct |
3 ms |
1452 KB |
Output is correct |
14 |
Correct |
3 ms |
1456 KB |
Output is correct |
15 |
Correct |
4 ms |
1460 KB |
Output is correct |
16 |
Correct |
4 ms |
1464 KB |
Output is correct |
17 |
Correct |
4 ms |
1488 KB |
Output is correct |
18 |
Correct |
3 ms |
1488 KB |
Output is correct |
19 |
Correct |
4 ms |
1488 KB |
Output is correct |
20 |
Correct |
3 ms |
1508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
544 KB |
Output is correct |
4 |
Correct |
2 ms |
608 KB |
Output is correct |
5 |
Correct |
2 ms |
688 KB |
Output is correct |
6 |
Correct |
2 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
788 KB |
Output is correct |
8 |
Correct |
2 ms |
788 KB |
Output is correct |
9 |
Correct |
2 ms |
796 KB |
Output is correct |
10 |
Correct |
2 ms |
800 KB |
Output is correct |
11 |
Correct |
2 ms |
804 KB |
Output is correct |
12 |
Correct |
3 ms |
1448 KB |
Output is correct |
13 |
Correct |
3 ms |
1452 KB |
Output is correct |
14 |
Correct |
3 ms |
1456 KB |
Output is correct |
15 |
Correct |
4 ms |
1460 KB |
Output is correct |
16 |
Correct |
4 ms |
1464 KB |
Output is correct |
17 |
Correct |
4 ms |
1488 KB |
Output is correct |
18 |
Correct |
3 ms |
1488 KB |
Output is correct |
19 |
Correct |
4 ms |
1488 KB |
Output is correct |
20 |
Correct |
3 ms |
1508 KB |
Output is correct |
21 |
Correct |
12 ms |
4200 KB |
Output is correct |
22 |
Correct |
13 ms |
4432 KB |
Output is correct |
23 |
Correct |
15 ms |
5108 KB |
Output is correct |
24 |
Correct |
76 ms |
14460 KB |
Output is correct |
25 |
Correct |
75 ms |
14464 KB |
Output is correct |
26 |
Correct |
72 ms |
14468 KB |
Output is correct |
27 |
Correct |
82 ms |
14472 KB |
Output is correct |
28 |
Correct |
48 ms |
14472 KB |
Output is correct |