#include <bits/stdc++.h>
using namespace std;
typedef long long Long;
int a[110];
int n;
const int mod = 1000000007;
int L;
int fn[105][105][3][1005];
int dp(int i, int group, int oneside, int value) {
value += (a[i] - a[i-1]) * (2 * group + oneside);
if(value > L) return 0;
if(group < 0) return 0;
if(oneside > 2) return 0;
if(i == n) {
if(group == 0 and oneside) return 1;
else return 0;
}
if(fn[i][group][oneside][value] != -1) return fn[i][group][oneside][value];
Long ans = 0;
ans += 1LL * (2 * group + oneside) * dp(i + 1, group, oneside, value);
ans += 1LL * (group + 1) * dp(i + 1, group + 1, oneside, value);
ans += 1LL * (group + oneside - 1) * dp(i + 1, group - 1, oneside, value);
ans += 1LL * (2 - oneside) * dp(i + 1, group, oneside + 1, value);
ans += 1LL * (2 - oneside) * dp(i + 1, group - 1, oneside + 1, value);
ans %= mod;
return fn[i][group][oneside][value] = ans;
}
int main(int argc, char const *argv[])
{
ios_base :: sync_with_stdio (false);
cin.tie (nullptr);
cin >> n >> L;
if(n == 1) {
cout << 1 << endl;
exit(0);
}
for(int i = 1; i <= n; i++) {
cin >> a[i];
}
sort(a+1, a+n+1);
memset(fn, -1, sizeof fn);
cout << dp(1, 0, 0, 0) << endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 2 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 3 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 4 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 5 |
Correct |
16 ms |
132024 KB |
Output is correct |
| 6 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 7 |
Correct |
29 ms |
132024 KB |
Output is correct |
| 8 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 9 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 10 |
Correct |
9 ms |
132024 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 2 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 3 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 4 |
Correct |
3 ms |
132024 KB |
Output is correct |
| 5 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 6 |
Correct |
9 ms |
132024 KB |
Output is correct |
| 7 |
Correct |
9 ms |
132024 KB |
Output is correct |
| 8 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 9 |
Correct |
3 ms |
132024 KB |
Output is correct |
| 10 |
Correct |
6 ms |
132024 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 2 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 3 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 4 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 5 |
Correct |
16 ms |
132024 KB |
Output is correct |
| 6 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 7 |
Correct |
29 ms |
132024 KB |
Output is correct |
| 8 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 9 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 10 |
Correct |
9 ms |
132024 KB |
Output is correct |
| 11 |
Correct |
0 ms |
132024 KB |
Output is correct |
| 12 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 13 |
Correct |
13 ms |
132024 KB |
Output is correct |
| 14 |
Correct |
3 ms |
132024 KB |
Output is correct |
| 15 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 16 |
Correct |
9 ms |
132024 KB |
Output is correct |
| 17 |
Correct |
9 ms |
132024 KB |
Output is correct |
| 18 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 19 |
Correct |
3 ms |
132024 KB |
Output is correct |
| 20 |
Correct |
6 ms |
132024 KB |
Output is correct |
| 21 |
Correct |
19 ms |
132024 KB |
Output is correct |
| 22 |
Correct |
99 ms |
132024 KB |
Output is correct |
| 23 |
Correct |
89 ms |
132024 KB |
Output is correct |
| 24 |
Correct |
86 ms |
132024 KB |
Output is correct |
| 25 |
Correct |
83 ms |
132024 KB |
Output is correct |
| 26 |
Correct |
76 ms |
132024 KB |
Output is correct |
| 27 |
Correct |
29 ms |
132024 KB |
Output is correct |
| 28 |
Correct |
33 ms |
132024 KB |
Output is correct |
| 29 |
Correct |
93 ms |
132024 KB |
Output is correct |
| 30 |
Correct |
93 ms |
132024 KB |
Output is correct |
