#include<bits/stdc++.h>
using namespace std;
#define int long long
#define N 105
#define M 1005
int dp[3][N][N][M], n, l, a[N], md = 1e9 + 7;
void add(int& a, int b){
a += b;
if (a >= md) a -= md;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cin >> n >> l;
dp[0][0][0][0] = 1;
if (n == 1){
cout << 1;
return 0;
}
for (int i = 1; i <= n; i++){
cin >> a[i];
}
sort(a + 1, a + n + 1);
a[n + 1] = 1e9;
for (int i = 1; i <= n; i++){
for (int j = 1; j <= n; j++){
for (int typ = 0; typ <= 2; typ++){
int cst = (a[i + 1] - a[i]) * (2 * j - typ);
for (int s = cst; s <= l; s++){
add(dp[typ][i][j][s], dp[typ][i - 1][j - 1][s - cst]);
add(dp[typ][i][j][s], dp[typ][i - 1][j][s - cst] * (2 * j - typ) % md);
if (typ) add(dp[typ][i][j][s], dp[typ - 1][i - 1][j - 1][s - cst] * (3 - typ) % md);
else{
add(dp[typ][i][j][s], dp[typ][i - 1][j + 1][s - cst] * j % md * (j + 1) % md);
}
if (typ == 1){
add(dp[typ][i][j][s], dp[typ - 1][i - 1][j][s - cst] * 2 * j % md);
add(dp[typ][i][j][s], dp[typ][i - 1][j + 1][s - cst] * j % md * j % md);
}
if (typ == 2){
if (i != n) add(dp[typ][i][j][s], dp[typ][i - 1][j + 1][s - cst] * j % md * (j - 1) % md);
if (i == n)
{
add(dp[typ][i][j][s], dp[typ][i - 1][j + 1][s - cst]);
add(dp[typ][i][j][s], dp[typ - 1][i - 1][j][s - cst]);
}
else
add(dp[typ][i][j][s], dp[typ - 1][i - 1][j][s - cst] * (j - 1) % md);
}
}
}
}
}
int res = 0;
for (int i = 0; i <= l; i++) add(res, dp[2][n][1][i]);
cout << res;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
2 ms |
1116 KB |
Output is correct |
6 |
Correct |
2 ms |
1228 KB |
Output is correct |
7 |
Correct |
1 ms |
860 KB |
Output is correct |
8 |
Correct |
1 ms |
1116 KB |
Output is correct |
9 |
Correct |
1 ms |
1372 KB |
Output is correct |
10 |
Correct |
1 ms |
1116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2140 KB |
Output is correct |
2 |
Correct |
1 ms |
1884 KB |
Output is correct |
3 |
Correct |
1 ms |
2652 KB |
Output is correct |
4 |
Correct |
2 ms |
1884 KB |
Output is correct |
5 |
Correct |
1 ms |
2140 KB |
Output is correct |
6 |
Correct |
2 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
1884 KB |
Output is correct |
8 |
Correct |
1 ms |
2652 KB |
Output is correct |
9 |
Correct |
2 ms |
2652 KB |
Output is correct |
10 |
Correct |
1 ms |
2140 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
600 KB |
Output is correct |
5 |
Correct |
2 ms |
1116 KB |
Output is correct |
6 |
Correct |
2 ms |
1228 KB |
Output is correct |
7 |
Correct |
1 ms |
860 KB |
Output is correct |
8 |
Correct |
1 ms |
1116 KB |
Output is correct |
9 |
Correct |
1 ms |
1372 KB |
Output is correct |
10 |
Correct |
1 ms |
1116 KB |
Output is correct |
11 |
Correct |
1 ms |
2140 KB |
Output is correct |
12 |
Correct |
1 ms |
1884 KB |
Output is correct |
13 |
Correct |
1 ms |
2652 KB |
Output is correct |
14 |
Correct |
2 ms |
1884 KB |
Output is correct |
15 |
Correct |
1 ms |
2140 KB |
Output is correct |
16 |
Correct |
2 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
1884 KB |
Output is correct |
18 |
Correct |
1 ms |
2652 KB |
Output is correct |
19 |
Correct |
2 ms |
2652 KB |
Output is correct |
20 |
Correct |
1 ms |
2140 KB |
Output is correct |
21 |
Correct |
5 ms |
10328 KB |
Output is correct |
22 |
Correct |
196 ms |
142680 KB |
Output is correct |
23 |
Correct |
181 ms |
144720 KB |
Output is correct |
24 |
Correct |
191 ms |
170836 KB |
Output is correct |
25 |
Correct |
190 ms |
147024 KB |
Output is correct |
26 |
Correct |
172 ms |
148568 KB |
Output is correct |
27 |
Correct |
109 ms |
152860 KB |
Output is correct |
28 |
Correct |
139 ms |
165880 KB |
Output is correct |
29 |
Correct |
202 ms |
199392 KB |
Output is correct |
30 |
Correct |
193 ms |
147028 KB |
Output is correct |