#include <bits/stdc++.h>
using namespace std;
const int N = 2000+5;
const int MOD = 1000000007;
inline int add(int a, int b){return (a+b>=MOD)?a+b-MOD:a+b;}
inline void inc(int& a, int b){a = add(a, b);}
inline int sub(int a, int b){return (a-b<0)?a-b+MOD:a-b;}
inline void dec(int &a, int b){a = sub(a, b);}
inline int mul(int a, int b){return 1ll*a*b%MOD;}
inline void grow(int &a, int b){a = mul(a, b);}
int n, cs, cf;
int dp[N][N];
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n >> cs >> cf;
if(cs > cf) cs = n+1-cs, cf = n+1-cf;
dp[0][0] = 1;
for(int i = 1; i<cs; i++) for(int j = 1; j<=i; j++) inc(dp[i][j], add(mul(dp[i-1][j+1], j), mul(dp[i-1][j-1], j)));
for(int j = 1; j<=cs; j++) inc(dp[cs][j], add(dp[cs-1][j], dp[cs-1][j-1]));
for(int i = cs+1; i<cf; i++) for(int j = 1; j<=i; j++) inc(dp[i][j], add(mul(dp[i-1][j+1], j), mul(dp[i-1][j-1], j-1)));
for(int j = 1; j<=cf; j++) inc(dp[cf][j], add(dp[cf-1][j], dp[cf-1][j-1]));
for(int i = cf+1; i<=n; i++) for(int j = 1; j<=i; j++) inc(dp[i][j], add(mul(dp[i-1][j+1], j), mul(dp[i-1][j-1], j-2)));
cout << dp[n][1] << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
464 KB |
Output is correct |
5 |
Correct |
1 ms |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
464 KB |
Output is correct |
5 |
Correct |
1 ms |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
2 ms |
1092 KB |
Output is correct |
13 |
Correct |
1 ms |
1100 KB |
Output is correct |
14 |
Correct |
1 ms |
1100 KB |
Output is correct |
15 |
Correct |
1 ms |
1100 KB |
Output is correct |
16 |
Correct |
2 ms |
1100 KB |
Output is correct |
17 |
Correct |
2 ms |
1100 KB |
Output is correct |
18 |
Correct |
1 ms |
1100 KB |
Output is correct |
19 |
Correct |
1 ms |
1100 KB |
Output is correct |
20 |
Correct |
1 ms |
1100 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
320 KB |
Output is correct |
4 |
Correct |
1 ms |
464 KB |
Output is correct |
5 |
Correct |
1 ms |
448 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
2 ms |
1092 KB |
Output is correct |
13 |
Correct |
1 ms |
1100 KB |
Output is correct |
14 |
Correct |
1 ms |
1100 KB |
Output is correct |
15 |
Correct |
1 ms |
1100 KB |
Output is correct |
16 |
Correct |
2 ms |
1100 KB |
Output is correct |
17 |
Correct |
2 ms |
1100 KB |
Output is correct |
18 |
Correct |
1 ms |
1100 KB |
Output is correct |
19 |
Correct |
1 ms |
1100 KB |
Output is correct |
20 |
Correct |
1 ms |
1100 KB |
Output is correct |
21 |
Correct |
4 ms |
3788 KB |
Output is correct |
22 |
Correct |
5 ms |
4044 KB |
Output is correct |
23 |
Correct |
5 ms |
4428 KB |
Output is correct |
24 |
Correct |
20 ms |
14076 KB |
Output is correct |
25 |
Correct |
22 ms |
14072 KB |
Output is correct |
26 |
Correct |
22 ms |
14012 KB |
Output is correct |
27 |
Correct |
20 ms |
13992 KB |
Output is correct |
28 |
Correct |
13 ms |
10188 KB |
Output is correct |