#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=105;
const int M=1005;
const int mod=1e9+7;
int n,l;
int a[N];
ll dp[N][N][M][4];
ll ans;
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> l;
for(int i=1;i<=n;i++)cin >> a[i];
if(n==1)cout << 1,exit(0);
sort(a+1,a+n+1);
dp[1][1][0][0]=1;
dp[1][1][0][1]=2;
for(int i=2;i<=n;i++){
for(int j=1;j<i;j++){
for(int k=0;k<=l;k++){
for(int e=0;e<3;e++){
int res=k+(a[i]-a[i-1])*(2*j-e);
if(res>l)continue;
dp[i][j-1][res][e]+=dp[i-1][j][k][e]*(j-1)%mod;
dp[i][j-1][res][e]%=mod;
dp[i][j][res][e]+=dp[i-1][j][k][e]*(2*j-e)%mod;
dp[i][j][res][e]%=mod;
dp[i][j+1][res][e]+=dp[i-1][j][k][e]*(j+1-e)%mod;
dp[i][j+1][res][e]%=mod;
dp[i][j][res][e+1]+=dp[i-1][j][k][e]*(2-e)%mod;
dp[i][j][res][e+1]%=mod;
dp[i][j+1][res][e+1]+=dp[i-1][j][k][e]*(2-e)%mod;
dp[i][j+1][res][e+1]%=mod;
}
}
}
}
for(int i=0;i<=l;i++){
ans+=dp[n][1][i][2];
ans%=mod;
}
cout << ans;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
1364 KB |
Output is correct |
6 |
Correct |
1 ms |
1136 KB |
Output is correct |
7 |
Correct |
1 ms |
584 KB |
Output is correct |
8 |
Correct |
1 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
852 KB |
Output is correct |
2 |
Correct |
1 ms |
980 KB |
Output is correct |
3 |
Correct |
2 ms |
980 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
2 ms |
972 KB |
Output is correct |
6 |
Correct |
1 ms |
980 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
980 KB |
Output is correct |
9 |
Correct |
1 ms |
1096 KB |
Output is correct |
10 |
Correct |
1 ms |
844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
1364 KB |
Output is correct |
6 |
Correct |
1 ms |
1136 KB |
Output is correct |
7 |
Correct |
1 ms |
584 KB |
Output is correct |
8 |
Correct |
1 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
1360 KB |
Output is correct |
10 |
Correct |
1 ms |
588 KB |
Output is correct |
11 |
Correct |
1 ms |
852 KB |
Output is correct |
12 |
Correct |
1 ms |
980 KB |
Output is correct |
13 |
Correct |
2 ms |
980 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
2 ms |
972 KB |
Output is correct |
16 |
Correct |
1 ms |
980 KB |
Output is correct |
17 |
Correct |
1 ms |
852 KB |
Output is correct |
18 |
Correct |
1 ms |
980 KB |
Output is correct |
19 |
Correct |
1 ms |
1096 KB |
Output is correct |
20 |
Correct |
1 ms |
844 KB |
Output is correct |
21 |
Correct |
3 ms |
3660 KB |
Output is correct |
22 |
Correct |
142 ms |
87664 KB |
Output is correct |
23 |
Correct |
171 ms |
104236 KB |
Output is correct |
24 |
Correct |
153 ms |
99088 KB |
Output is correct |
25 |
Correct |
170 ms |
105280 KB |
Output is correct |
26 |
Correct |
165 ms |
96160 KB |
Output is correct |
27 |
Correct |
71 ms |
50656 KB |
Output is correct |
28 |
Correct |
81 ms |
59616 KB |
Output is correct |
29 |
Correct |
148 ms |
94512 KB |
Output is correct |
30 |
Correct |
178 ms |
105392 KB |
Output is correct |