#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
const ll MOD = 1e9 + 7;
int a[102];
ll dp[102][102][1002][3];
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, l;
cin >> n >> l;
if (n == 1) return cout << 1, 0;
for (int i = 1; i <= n; i++) cin >> a[i];
sort(a + 1, a + n + 1);
a[n + 1] = 10000;
dp[0][0][0][0] = 1;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= i; j++) {
for (int k = 0; k <= l; k++) {
for (int m = 0; m <= 2; m++) {
int cost_diff = (2 * j - m) * (a[i + 1] - a[i]);
if (cost_diff > k || i + j + 1 - m > n) continue;
// Case 1
dp[i][j][k][m] += dp[i - 1][j - 1][k - cost_diff][m];
// Case 2
if (m)
dp[i][j][k][m] +=
(3 - m) * dp[i - 1][j - 1][k - cost_diff][m - 1];
// Case 3
dp[i][j][k][m] +=
(2 * j - m) * dp[i - 1][j][k - cost_diff][m];
// Case 4
if (m == 1)
dp[i][j][k][m] +=
2 * j * dp[i - 1][j][k - cost_diff][m - 1];
if (m == 2) {
if (i == n)
dp[i][j][k][m] +=
dp[i - 1][j][k - cost_diff][m - 1];
else if (j > 1)
dp[i][j][k][m] +=
(j - 1) * dp[i - 1][j][k - cost_diff][m - 1];
}
// Case 5
if (m == 2) {
if (i == n)
dp[i][j][k][m] +=
dp[i - 1][j + 1][k - cost_diff][m];
else
dp[i][j][k][m] +=
j * (j - 1) *
dp[i - 1][j + 1][k - cost_diff][m];
} else if (m == 1)
dp[i][j][k][m] +=
j * j * dp[i - 1][j + 1][k - cost_diff][m];
else
dp[i][j][k][m] +=
j * (j + 1) * dp[i - 1][j + 1][k - cost_diff][m];
dp[i][j][k][m] %= MOD;
if (!dp[i][j][k][m]) continue;
}
}
}
}
ll ans = 0;
for (int i = 0; i <= l; i++) ans += dp[n][1][i][2];
cout << ans % MOD;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
860 KB |
Output is correct |
6 |
Correct |
1 ms |
860 KB |
Output is correct |
7 |
Correct |
1 ms |
552 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
864 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
604 KB |
Output is correct |
4 |
Correct |
1 ms |
604 KB |
Output is correct |
5 |
Correct |
1 ms |
608 KB |
Output is correct |
6 |
Correct |
1 ms |
604 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
1 ms |
604 KB |
Output is correct |
9 |
Correct |
1 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
860 KB |
Output is correct |
6 |
Correct |
1 ms |
860 KB |
Output is correct |
7 |
Correct |
1 ms |
552 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
864 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
604 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
604 KB |
Output is correct |
14 |
Correct |
1 ms |
604 KB |
Output is correct |
15 |
Correct |
1 ms |
608 KB |
Output is correct |
16 |
Correct |
1 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
604 KB |
Output is correct |
20 |
Correct |
1 ms |
604 KB |
Output is correct |
21 |
Correct |
2 ms |
2392 KB |
Output is correct |
22 |
Correct |
46 ms |
35776 KB |
Output is correct |
23 |
Correct |
69 ms |
47444 KB |
Output is correct |
24 |
Correct |
60 ms |
46932 KB |
Output is correct |
25 |
Correct |
67 ms |
50772 KB |
Output is correct |
26 |
Correct |
57 ms |
46260 KB |
Output is correct |
27 |
Correct |
23 ms |
23632 KB |
Output is correct |
28 |
Correct |
28 ms |
26976 KB |
Output is correct |
29 |
Correct |
52 ms |
41404 KB |
Output is correct |
30 |
Correct |
66 ms |
50768 KB |
Output is correct |