#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#include <iostream>
#include <algorithm>
#define ll long long
const int MD = 1e9 + 7;
using namespace std;
int n, l, ar[101], dp[2][101][1001][3];
int main()
{
ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> l;
if (n == 1) {cout << "1\n"; return 0;}
for (int i = 0; i < n; i++) {cin >> ar[i];}
sort(ar, ar + n);
dp[1][1][0][0] = 1;
dp[1][1][0][1] = 2;
for (int i = 2; i <= n; i++)
{
for (int k = 0; k <= l; k++)
{
for (int m = 0; m <= 2; m++) {dp[i & 1][0][k][m] = 0;}
}
for (int j = 1; j <= i; j++)
{
for (int k = 0; k <= l; k++)
{
for (int m = 0; m <= 2; m++)
{
int v = ar[i - 1] - ar[i - 2]; dp[i & 1][j][k][m] = 0;
if (k - (2 * j - 2 - m) * v >= 0)
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(j - m) * dp[~i & 1][j - 1][k - (2 * j - 2 - m) * v][m]) % MD;
}
if (k - (2 * j - m) * v >= 0)
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(2 * j - m) * dp[~i & 1][j][k - (2 * j - m) * v][m]) % MD;
}
if (k - (2 * j + 2 - m) * v >= 0 && j + 1 < i && (j >= m || i == n))
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)j * dp[~i & 1][j + 1][k - (2 * j + 2 - m) * v][m]) % MD;
}
if (k - (2 * j - m - 1) * v>= 0 && m)
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j - 1][k - (2 * j - m - 1) * v][m - 1]) % MD;
}
if (k - (2 * j - m + 1) * v>= 0 && m && (j >= m || i == n) && j < i)
{
dp[i & 1][j][k][m] = (dp[i & 1][j][k][m] + (ll)(3 - m) * dp[~i & 1][j][k - (2 * j - m + 1) * v][m - 1]) % MD;
}
}
}
}
}
int res = 0;
for (int i = 0; i <= l; i++)
{
res = (res + dp[n & 1][1][i][2]) % MD;
}
cout << res << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 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 |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
512 KB |
Output is correct |
3 |
Correct |
1 ms |
512 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 |
384 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 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 |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
512 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
512 KB |
Output is correct |
13 |
Correct |
1 ms |
512 KB |
Output is correct |
14 |
Correct |
1 ms |
512 KB |
Output is correct |
15 |
Correct |
1 ms |
512 KB |
Output is correct |
16 |
Correct |
1 ms |
512 KB |
Output is correct |
17 |
Correct |
1 ms |
384 KB |
Output is correct |
18 |
Correct |
1 ms |
512 KB |
Output is correct |
19 |
Correct |
1 ms |
512 KB |
Output is correct |
20 |
Correct |
1 ms |
512 KB |
Output is correct |
21 |
Correct |
1 ms |
640 KB |
Output is correct |
22 |
Correct |
121 ms |
2108 KB |
Output is correct |
23 |
Correct |
156 ms |
2680 KB |
Output is correct |
24 |
Correct |
136 ms |
2680 KB |
Output is correct |
25 |
Correct |
165 ms |
2936 KB |
Output is correct |
26 |
Correct |
140 ms |
2680 KB |
Output is correct |
27 |
Correct |
51 ms |
1656 KB |
Output is correct |
28 |
Correct |
65 ms |
1784 KB |
Output is correct |
29 |
Correct |
125 ms |
2424 KB |
Output is correct |
30 |
Correct |
160 ms |
2684 KB |
Output is correct |