#include <bits/stdc++.h>
#define mod 1000000007
using namespace std;
typedef long long ll;
ll dp[105][105][1005][2][2]={};
int main(){
int n,l;
cin >> n >> l;
vector <int> a(n);
for(int i=0;i<n;i++){
cin >> a[i];
}
if(n==1){
cout << 1 << endl;
return 0;
}
sort(a.begin(),a.end());
dp[0][0][0][0][0]=1;
ll ans=0;
for(int i=0;i<n;i++){
if(i==n-1){
for(int k=0;k<=l;k++){
for(int iss=0;iss<2;iss++){
for(int ise=0;ise<2;ise++){
dp[i][0][k][iss][ise]%=mod;
if(iss+ise>0)
ans=(ans+dp[i][0][k][iss][ise])%mod;
}
}
}
continue;
}
for(int j=0;j<=n;j++){
for(int k=0;k<=l;k++){
for(int iss=0;iss<2;iss++){
for(int ise=0;ise<2;ise++){
// if(i==2){
// cout << i << " " << j << " " << k << " " << iss << " " << ise << " " << dp[i][j][k][iss][ise] << endl;
// }
ll &cur = dp[i][j][k][iss][ise];
assert(cur>=0);
cur%=mod;
int diff = a[i+1]-a[i];
int nl=k+(a[i+1]-a[i])*(2*j+iss+ise);
if(j){
if(nl-2*diff>l){
continue;
}
if(iss){
dp[i+1][j-1][nl-2*diff][iss][ise]+=cur*j;
dp[i+1][j-1][nl-2*diff][iss][ise]%=mod;
}
if(ise){
dp[i+1][j-1][nl-2*diff][iss][ise]+=cur*j;
dp[i+1][j-1][nl-2*diff][iss][ise]%=mod;
}
if(j>1){
dp[i+1][j-1][nl-2*diff][iss][ise]+=cur*j*(j-1);
dp[i+1][j-1][nl-2*diff][iss][ise]%=mod;
}
if(nl-diff>l){
continue;
}
if(!iss){
dp[i+1][j-1][nl-diff][1][ise]+=cur*j;
dp[i+1][j-1][nl-diff][1][ise]%=mod;
}
if(!ise){
dp[i+1][j-1][nl-diff][iss][1]+=cur*j;
dp[i+1][j-1][nl-diff][iss][1]%=mod;
}
}
if(nl>l){
continue;
}
if(iss){
dp[i+1][j][nl][iss][ise]+=cur;
dp[i+1][j][nl][iss][ise]%=mod;
}
if(ise){
dp[i+1][j][nl][iss][ise]+=cur;
dp[i+1][j][nl][iss][ise]%=mod;
}
if(j){
dp[i+1][j][nl][iss][ise]+=(2*j)*cur;
dp[i+1][j][nl][iss][ise]%=mod;
}
if(nl+diff>l){
continue;
}
if(!iss){
dp[i+1][j][nl+diff][1][ise]+=cur;
dp[i+1][j][nl+diff][1][ise]%=mod;
}
if(!ise){
dp[i+1][j][nl+diff][iss][1]+=cur;
dp[i+1][j][nl+diff][iss][1]%=mod;
}
if(nl+2*diff>l){
continue;
}
dp[i+1][j+1][nl+2*diff][iss][ise]+=cur;
dp[i+1][j+1][nl+2*diff][iss][ise]%=mod;
}
}
}
}
}
cout << ans << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
632 KB |
Output is correct |
5 |
Correct |
7 ms |
2424 KB |
Output is correct |
6 |
Correct |
6 ms |
2296 KB |
Output is correct |
7 |
Correct |
3 ms |
888 KB |
Output is correct |
8 |
Correct |
3 ms |
760 KB |
Output is correct |
9 |
Correct |
7 ms |
2552 KB |
Output is correct |
10 |
Correct |
3 ms |
888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
1400 KB |
Output is correct |
2 |
Correct |
4 ms |
1784 KB |
Output is correct |
3 |
Correct |
4 ms |
1528 KB |
Output is correct |
4 |
Correct |
4 ms |
1784 KB |
Output is correct |
5 |
Correct |
4 ms |
1912 KB |
Output is correct |
6 |
Correct |
5 ms |
1784 KB |
Output is correct |
7 |
Correct |
3 ms |
1400 KB |
Output is correct |
8 |
Correct |
4 ms |
1528 KB |
Output is correct |
9 |
Correct |
4 ms |
1784 KB |
Output is correct |
10 |
Correct |
4 ms |
1656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
632 KB |
Output is correct |
5 |
Correct |
7 ms |
2424 KB |
Output is correct |
6 |
Correct |
6 ms |
2296 KB |
Output is correct |
7 |
Correct |
3 ms |
888 KB |
Output is correct |
8 |
Correct |
3 ms |
760 KB |
Output is correct |
9 |
Correct |
7 ms |
2552 KB |
Output is correct |
10 |
Correct |
3 ms |
888 KB |
Output is correct |
11 |
Correct |
4 ms |
1400 KB |
Output is correct |
12 |
Correct |
4 ms |
1784 KB |
Output is correct |
13 |
Correct |
4 ms |
1528 KB |
Output is correct |
14 |
Correct |
4 ms |
1784 KB |
Output is correct |
15 |
Correct |
4 ms |
1912 KB |
Output is correct |
16 |
Correct |
5 ms |
1784 KB |
Output is correct |
17 |
Correct |
3 ms |
1400 KB |
Output is correct |
18 |
Correct |
4 ms |
1528 KB |
Output is correct |
19 |
Correct |
4 ms |
1784 KB |
Output is correct |
20 |
Correct |
4 ms |
1656 KB |
Output is correct |
21 |
Correct |
14 ms |
9080 KB |
Output is correct |
22 |
Correct |
785 ms |
185464 KB |
Output is correct |
23 |
Correct |
900 ms |
316408 KB |
Output is correct |
24 |
Correct |
756 ms |
275136 KB |
Output is correct |
25 |
Correct |
863 ms |
316920 KB |
Output is correct |
26 |
Correct |
799 ms |
307448 KB |
Output is correct |
27 |
Correct |
287 ms |
118548 KB |
Output is correct |
28 |
Correct |
367 ms |
136504 KB |
Output is correct |
29 |
Correct |
682 ms |
222204 KB |
Output is correct |
30 |
Correct |
862 ms |
316924 KB |
Output is correct |