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>
#define ll long long
#define fi first
#define se second
using namespace std;
const int MOD=1e9+9;
int main()
{
//freopen("truth.in", "r", stdin);
//freopen("truth.out", "w", stdout);
int n, d;
cin >> n >> d;
int a[n];
for(int i=0; i<n; i++){
cin >> a[i];
}
sort(a, a+n);
int r=0, ans=1;
for(int l=0; l<n; l++){
while(r<n-1 && a[r+1]-a[l]<=d){
r++;
}
int dist=r-l+1;
ans=(ans*1LL*dist)%MOD;
}
cout << ans;
return 0;
}
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