#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;
}
}
}
}
ll ans = 0;
for (int i = 0; i <= l; i++) ans += dp[n][1][i][2];
cout << ans % MOD;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
492 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
512 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
492 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
768 KB |
Output is correct |
| 2 |
Correct |
1 ms |
620 KB |
Output is correct |
| 3 |
Correct |
1 ms |
620 KB |
Output is correct |
| 4 |
Correct |
1 ms |
620 KB |
Output is correct |
| 5 |
Correct |
1 ms |
620 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
620 KB |
Output is correct |
| 8 |
Correct |
1 ms |
620 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
748 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
492 KB |
Output is correct |
| 5 |
Correct |
1 ms |
748 KB |
Output is correct |
| 6 |
Correct |
1 ms |
748 KB |
Output is correct |
| 7 |
Correct |
1 ms |
492 KB |
Output is correct |
| 8 |
Correct |
1 ms |
512 KB |
Output is correct |
| 9 |
Correct |
1 ms |
748 KB |
Output is correct |
| 10 |
Correct |
1 ms |
492 KB |
Output is correct |
| 11 |
Correct |
1 ms |
768 KB |
Output is correct |
| 12 |
Correct |
1 ms |
620 KB |
Output is correct |
| 13 |
Correct |
1 ms |
620 KB |
Output is correct |
| 14 |
Correct |
1 ms |
620 KB |
Output is correct |
| 15 |
Correct |
1 ms |
620 KB |
Output is correct |
| 16 |
Correct |
1 ms |
748 KB |
Output is correct |
| 17 |
Correct |
1 ms |
620 KB |
Output is correct |
| 18 |
Correct |
1 ms |
620 KB |
Output is correct |
| 19 |
Correct |
1 ms |
748 KB |
Output is correct |
| 20 |
Correct |
1 ms |
748 KB |
Output is correct |
| 21 |
Correct |
3 ms |
2412 KB |
Output is correct |
| 22 |
Correct |
74 ms |
35812 KB |
Output is correct |
| 23 |
Correct |
110 ms |
47596 KB |
Output is correct |
| 24 |
Correct |
96 ms |
46828 KB |
Output is correct |
| 25 |
Correct |
112 ms |
50796 KB |
Output is correct |
| 26 |
Correct |
98 ms |
46060 KB |
Output is correct |
| 27 |
Correct |
39 ms |
23660 KB |
Output is correct |
| 28 |
Correct |
49 ms |
26988 KB |
Output is correct |
| 29 |
Correct |
83 ms |
41324 KB |
Output is correct |
| 30 |
Correct |
116 ms |
50924 KB |
Output is correct |
