#include <bits/stdc++.h>
using namespace std;
#define FOR(i, x, y) for (int i = x; i < y; i++)
int N, L, A[105], md = 1e9 + 7; long long dp[105][105][1005][5], ans;
int main(){
cin >> N >> L;
FOR(i, 1, N + 1) cin >> A[i];
sort(A + 1, A + N + 1); dp[0][0][0][0] = 1;
FOR(i, 0, N + 1) FOR(j, 0, N + 1) FOR(l, 0, L + 1) FOR(m, 0, 3){
int dif = (A[i + 1] - A[i]) * (2 * j - m);
long long &DP = dp[i][j][l][m]; DP %= md;
if (dif < 0 or l + dif > L) continue;
if (j) dp[i + 1][j - 1][l + dif][m] += DP * (j - 1); //merge
dp[i + 1][j + 1][l + dif][m] += DP * (j + 1 - m); //new
dp[i + 1][j][l + dif][m] += DP * (2 * j - m); //append
dp[i + 1][j][l + dif][m + 1] += DP * (2 - m); //append end
dp[i + 1][j + 1][l + dif][m + 1] += DP * (2 - m); //create end
if (i == N and j == 1 and m == 2) ans += DP, ans %= md;
}
cout<<(N == 1 ? 1 : ans)<<endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
716 KB |
Output is correct |
| 5 |
Correct |
4 ms |
3660 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3532 KB |
Output is correct |
| 7 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 8 |
Correct |
1 ms |
940 KB |
Output is correct |
| 9 |
Correct |
5 ms |
3660 KB |
Output is correct |
| 10 |
Correct |
1 ms |
1100 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
1484 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 3 |
Correct |
2 ms |
1740 KB |
Output is correct |
| 4 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 5 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 6 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 7 |
Correct |
2 ms |
1484 KB |
Output is correct |
| 8 |
Correct |
2 ms |
1740 KB |
Output is correct |
| 9 |
Correct |
2 ms |
1996 KB |
Output is correct |
| 10 |
Correct |
2 ms |
1996 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
332 KB |
Output is correct |
| 2 |
Correct |
0 ms |
332 KB |
Output is correct |
| 3 |
Correct |
0 ms |
332 KB |
Output is correct |
| 4 |
Correct |
1 ms |
716 KB |
Output is correct |
| 5 |
Correct |
4 ms |
3660 KB |
Output is correct |
| 6 |
Correct |
4 ms |
3532 KB |
Output is correct |
| 7 |
Correct |
1 ms |
1228 KB |
Output is correct |
| 8 |
Correct |
1 ms |
940 KB |
Output is correct |
| 9 |
Correct |
5 ms |
3660 KB |
Output is correct |
| 10 |
Correct |
1 ms |
1100 KB |
Output is correct |
| 11 |
Correct |
2 ms |
1484 KB |
Output is correct |
| 12 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 13 |
Correct |
2 ms |
1740 KB |
Output is correct |
| 14 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 15 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 16 |
Correct |
2 ms |
2124 KB |
Output is correct |
| 17 |
Correct |
2 ms |
1484 KB |
Output is correct |
| 18 |
Correct |
2 ms |
1740 KB |
Output is correct |
| 19 |
Correct |
2 ms |
1996 KB |
Output is correct |
| 20 |
Correct |
2 ms |
1996 KB |
Output is correct |
| 21 |
Correct |
9 ms |
9804 KB |
Output is correct |
| 22 |
Correct |
321 ms |
228644 KB |
Output is correct |
| 23 |
Correct |
461 ms |
402812 KB |
Output is correct |
| 24 |
Correct |
385 ms |
338812 KB |
Output is correct |
| 25 |
Correct |
462 ms |
402896 KB |
Output is correct |
| 26 |
Correct |
417 ms |
379660 KB |
Output is correct |
| 27 |
Correct |
140 ms |
139972 KB |
Output is correct |
| 28 |
Correct |
175 ms |
162500 KB |
Output is correct |
| 29 |
Correct |
319 ms |
271324 KB |
Output is correct |
| 30 |
Correct |
482 ms |
402980 KB |
Output is correct |
