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 <iostream>
#include <fstream>
#include <string>
#include <bits/stdc++.h>
using namespace std;
// ofstream fout ("split.out");
// ifstream fin ("split.in");
int main(){
int n,d;
cin>>n>>d;
int array[n];
long long product=1;
for(int i=0;i<n;i++){
cin>>array[i];
}
sort(array,array+n);
for(int i=1;i<n;i++){
int j=i-1;
while(j>=0&&array[j]+d>=array[i]){
j--;
}
int dist=i-j;
product=(product*dist)%1000000009;
}
// for(int i=n-1;i>=0;i--){
// int j=i-1;
// while(array[i]<=d+array[j]){
// j--;
// }
// product=product*(i-j)%1000000009;
// }
// cout<<product;
// long long product=1;
// for(int i=0;i<n;i++){
// cout<<barray[i]<<endl;
// }
// for(int i=0;i<n;i++){
// product*=(barray[i]+1);
// }
cout<<product;
return 0;
}
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