#include<bits/stdc++.h>
using namespace std;
#define maxn 105
#define maxl 1005
#define int long long
const int mod=1e9+7;
int dp[2][maxn][maxl][2][2],n,a[maxn],l,t;
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
cin >> n >> l;
for(int i=1;i<=n;i++) cin >> a[i];
sort(a+1,a+n+1);
for(int p=0;p<=1;p++){
for(int q=0;q<=1;q++) dp[1][1][0][p][q]=1;
}
for(int i=1;i<n;i++){
t^=1;
for(int j=1;j<=i;j++){
for(int k=0;k<=l;k++){
for(int p=0;p<=1;p++){
for(int q=0;q<=1;q++){
int nk=k+(2*j-p-q)*(a[i+1]-a[i]);
int v=dp[t][j][k][p][q];dp[t][j][k][p][q]=0;
if(nk>l) continue;
dp[t^1][j][nk][p][q]=(dp[t^1][j][nk][p][q]+(2*j-p-q)*v)%mod;
dp[t^1][j-1][nk][p][q]=(dp[t^1][j-1][nk][p][q]+(j-1)*v)%mod;
dp[t^1][j+1][nk][p][q]=(dp[t^1][j+1][nk][p][q]+(j+1-p-q)*v)%mod;
if(!p){
dp[t^1][j][nk][1][q]=(dp[t^1][j][nk][1][q]+v)%mod;
dp[t^1][j+1][nk][1][q]=(dp[t^1][j+1][nk][1][q]+v)%mod;
}
if(!q){
dp[t^1][j][nk][p][1]=(dp[t^1][j][nk][p][1]+v)%mod;
dp[t^1][j+1][nk][p][1]=(dp[t^1][j+1][nk][p][1]+v)%mod;
}
}
}
}
}
}
int ans=0;t^=1;
for(int i=0;i<=l;i++) ans=(ans+dp[t][1][i][1][1])%mod;
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
712 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
428 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
452 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
452 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
712 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
428 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
452 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
468 KB |
Output is correct |
18 |
Correct |
1 ms |
452 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
456 KB |
Output is correct |
21 |
Correct |
2 ms |
724 KB |
Output is correct |
22 |
Correct |
112 ms |
4852 KB |
Output is correct |
23 |
Correct |
146 ms |
6556 KB |
Output is correct |
24 |
Correct |
135 ms |
5668 KB |
Output is correct |
25 |
Correct |
149 ms |
6516 KB |
Output is correct |
26 |
Correct |
142 ms |
6316 KB |
Output is correct |
27 |
Correct |
43 ms |
2628 KB |
Output is correct |
28 |
Correct |
59 ms |
2956 KB |
Output is correct |
29 |
Correct |
106 ms |
4656 KB |
Output is correct |
30 |
Correct |
178 ms |
6468 KB |
Output is correct |