#include<bits/stdc++.h>
#define int long long
#define bug(x) cerr<<#x<<" = "<<x<<'\n'
using namespace std;
const int mod = 1e9 + 7;
const int N = 2001;
void add(int& a, int b) {
a += b;
while (a >= b) a -= mod;
while (a < 0) a += mod;
}
void mul(int& a, int b) {
a = 1ll * a * b % mod;
}
int st, en, n;
int dp[N][N][4];
/// 0 - 00; 1 - 10, 2 - 01, 3 - 11;
signed main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("kangaroo.in", "r", stdin);
// freopen("kangaroo.out", "w", stdout);
cin>>n>>st>>en;
dp[0][2][0] = 1;
int cur = 0;
if (st > en) swap(st, en);
for (int i = 0; i < n - 2; ++i) {
++cur;
if (cur == st) ++cur;
if (cur == en) ++cur;
for (int j = 1; j <= i + 2; ++j) {
for (int k = 0; k < 4; ++k) {
if (dp[i][j][k] == 0) continue;
if (i == n - 3 && j == 2 && k == 3)
add(dp[n - 2][1][k], dp[i][j][k]);
for (int t = 0; t < 2; ++t) if ((k >> t & 1) == 0){
int m = (t == 0 ? st : en), d = __builtin_popcount(k);
if (i < n - 3) {
if (cur > m && j > 2)
add(dp[i + 1][j - 1][k | (1 << t)], 1ll * dp[i][j][k] * (j - 2) % mod);
else if (cur < m)
add(dp[i + 1][j][k | (1 << t)], dp[i][j][k]);
} else if (j == 2 && cur > m && d == 1) {
add(dp[i + 1][1][3], dp[i][j][k]);
}
} else if (i < n - 3) {
add(dp[i + 1][j - 1][k], 1ll * dp[i][j][k] * (j - 2) % mod);
}
add(dp[i + 1][j + 1][k], dp[i][j][k]);
if (j > 3) add(dp[i + 1][j - 1][k], 1ll * (dp[i][j][k] * (j - 2)) % mod * (j - 3) % mod);
}
}
}
cout << dp[n - 2][1][3];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
512 KB |
Output is correct |
5 |
Correct |
1 ms |
512 KB |
Output is correct |
6 |
Correct |
1 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
512 KB |
Output is correct |
11 |
Correct |
1 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
512 KB |
Output is correct |
5 |
Correct |
1 ms |
512 KB |
Output is correct |
6 |
Correct |
1 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
512 KB |
Output is correct |
11 |
Correct |
1 ms |
512 KB |
Output is correct |
12 |
Correct |
4 ms |
1792 KB |
Output is correct |
13 |
Correct |
4 ms |
1664 KB |
Output is correct |
14 |
Correct |
3 ms |
1824 KB |
Output is correct |
15 |
Correct |
4 ms |
1792 KB |
Output is correct |
16 |
Correct |
4 ms |
1920 KB |
Output is correct |
17 |
Correct |
4 ms |
1792 KB |
Output is correct |
18 |
Correct |
3 ms |
1568 KB |
Output is correct |
19 |
Correct |
4 ms |
1792 KB |
Output is correct |
20 |
Correct |
4 ms |
1792 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
512 KB |
Output is correct |
5 |
Correct |
1 ms |
512 KB |
Output is correct |
6 |
Correct |
1 ms |
512 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
512 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
512 KB |
Output is correct |
11 |
Correct |
1 ms |
512 KB |
Output is correct |
12 |
Correct |
4 ms |
1792 KB |
Output is correct |
13 |
Correct |
4 ms |
1664 KB |
Output is correct |
14 |
Correct |
3 ms |
1824 KB |
Output is correct |
15 |
Correct |
4 ms |
1792 KB |
Output is correct |
16 |
Correct |
4 ms |
1920 KB |
Output is correct |
17 |
Correct |
4 ms |
1792 KB |
Output is correct |
18 |
Correct |
3 ms |
1568 KB |
Output is correct |
19 |
Correct |
4 ms |
1792 KB |
Output is correct |
20 |
Correct |
4 ms |
1792 KB |
Output is correct |
21 |
Correct |
34 ms |
9752 KB |
Output is correct |
22 |
Correct |
37 ms |
10872 KB |
Output is correct |
23 |
Correct |
44 ms |
12280 KB |
Output is correct |
24 |
Correct |
278 ms |
70688 KB |
Output is correct |
25 |
Correct |
255 ms |
70776 KB |
Output is correct |
26 |
Correct |
279 ms |
70776 KB |
Output is correct |
27 |
Correct |
300 ms |
70264 KB |
Output is correct |
28 |
Correct |
165 ms |
41464 KB |
Output is correct |