This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
long long n,L,res,diff;
long long d[107][107][1007][3];
long long a[107];
const long long MOD = 1e9+7;
int main() {
cin >> n >> L;
for(int i=1; i<=n; i++) cin >> a[i];
if(n==1) { cout << 1 << endl; return 0; }
a[n+1]=10000;
sort(a+1, a+1+n);
d[0][0][0][0] = 1;
for(int i=1; i<=n; i++)
for(int j=1; j<=i; j++)
for(int k=0; k<=L; k++)
for(int m=0; m<=2; m++) {
diff = (2*j-m)*(a[i+1]-a[i]);
if(k-diff<0) continue;
d[i][j][k][m] += (d[i-1][j+1][k-diff][m] * j)%MOD;
d[i][j][k][m] += (d[i-1][j-1][k-diff][m] * (j-m)) %MOD;
d[i][j][k][m] += (d[i-1][j][k-diff][m] * (2*j-m))%MOD;
if(m>0) d[i][j][k][m] += (d[i-1][j-1][k-diff][m-1] * (3-m))%MOD;
if(m>0) d[i][j][k][m] += (d[i-1][j][k-diff][m-1] *(3-m) )%MOD;
d[i][j][k][m] %= MOD;
}
res = 0;
for(int k=0; k<=L; k++) res += d[n][1][k][2];
res %= MOD;
cout << res << endl;
return 0;
}
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