#include <bits/stdc++.h>
using namespace std;
long long n,L,res,diff;
long long d[107][107][1007][3];
long long a[107];
const long long MOD = 1e9+7;
int main() {
cin >> n >> L;
for(int i=1; i<=n; i++) cin >> a[i];
if(n==1) { cout << 1 << endl; return 0; }
a[n+1]=10000;
sort(a+1, a+1+n);
d[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++) {
diff = (2*j-m)*(a[i+1]-a[i]);
if(k-diff<0) continue;
d[i][j][k][m] += (d[i-1][j+1][k-diff][m] * j)%MOD;
d[i][j][k][m] += (d[i-1][j-1][k-diff][m] * (j-m)) %MOD;
d[i][j][k][m] += (d[i-1][j][k-diff][m] * (2*j-m))%MOD;
if(m>0) d[i][j][k][m] += (d[i-1][j-1][k-diff][m-1] * (3-m))%MOD;
if(m>0) d[i][j][k][m] += (d[i-1][j][k-diff][m-1] *(3-m) )%MOD;
d[i][j][k][m] %= MOD;
}
res = 0;
for(int k=0; k<=L; k++) res += d[n][1][k][2];
res %= MOD;
cout << res << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
300 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
716 KB |
Output is correct |
6 |
Correct |
1 ms |
684 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
2 ms |
812 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
1 ms |
716 KB |
Output is correct |
3 |
Correct |
1 ms |
716 KB |
Output is correct |
4 |
Correct |
1 ms |
684 KB |
Output is correct |
5 |
Correct |
1 ms |
716 KB |
Output is correct |
6 |
Correct |
2 ms |
808 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
684 KB |
Output is correct |
9 |
Correct |
1 ms |
812 KB |
Output is correct |
10 |
Correct |
1 ms |
680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
300 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
716 KB |
Output is correct |
6 |
Correct |
1 ms |
684 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
2 ms |
812 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
588 KB |
Output is correct |
12 |
Correct |
1 ms |
716 KB |
Output is correct |
13 |
Correct |
1 ms |
716 KB |
Output is correct |
14 |
Correct |
1 ms |
684 KB |
Output is correct |
15 |
Correct |
1 ms |
716 KB |
Output is correct |
16 |
Correct |
2 ms |
808 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
1 ms |
684 KB |
Output is correct |
19 |
Correct |
1 ms |
812 KB |
Output is correct |
20 |
Correct |
1 ms |
680 KB |
Output is correct |
21 |
Correct |
3 ms |
3116 KB |
Output is correct |
22 |
Correct |
119 ms |
65560 KB |
Output is correct |
23 |
Correct |
130 ms |
76568 KB |
Output is correct |
24 |
Correct |
132 ms |
74916 KB |
Output is correct |
25 |
Correct |
143 ms |
77088 KB |
Output is correct |
26 |
Correct |
147 ms |
71828 KB |
Output is correct |
27 |
Correct |
55 ms |
41304 KB |
Output is correct |
28 |
Correct |
61 ms |
47708 KB |
Output is correct |
29 |
Correct |
109 ms |
72680 KB |
Output is correct |
30 |
Correct |
132 ms |
77204 KB |
Output is correct |