This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/* Bismillahir Rahmanir Rahim */
#include <bits/stdc++.h>
using namespace std;
const int N = 105;
const int L = 1005;
const long long mod = 1e9 + 7;
long long dp[N][L][N][2][2];
int n, l, a[N];
long long recur(int at, int sum, int tot, int lf, int rf){
int fuk = sum + ((a[at] - a[at-1]) * (lf + rf + tot * 2));
if(fuk > l || tot < 0) return 0;
if(at == n) return (tot == 0);
if(dp[at][sum][tot][lf][rf] != -1) return dp[at][sum][tot][lf][rf];
long long ret = 0;
ret += recur(at+1, fuk, tot, 1, rf);
ret += recur(at+1, fuk, tot-1, 1, rf) * tot;
ret += recur(at+1, fuk, tot, lf, 1);
ret += recur(at+1, fuk, tot-1, lf, 1) * tot;
ret += recur(at+1, fuk, tot, lf, rf) * tot * 2;
ret += recur(at+1, fuk, tot-1, lf, rf) * tot * (tot - 1);
ret += recur(at+1, fuk, tot+1, lf, rf);
return dp[at][sum][tot][lf][rf] = ret % mod;
}
int main(){
cin >> n >> l;
for(int i=1;i<=n;i++){
cin >> a[i];
}
sort(a+1, a+1+n); a[0] = a[1];
memset(dp, -1, sizeof(dp));
cout << recur(1, 0, 0, 0, 0) << endl;
return 0;
}
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