This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3")
#include <vector>
#include<iostream>
#include<algorithm>
using namespace std;
const int mod=1e9+9;
int main() {
int n,d;
cin>>n>>d;
vector<int> a(n);
for(int i=0;i<n;i++){
cin>>a[i];
}
sort(a.begin(),a.end());
int l=0;
int ans=1;
for(int r=0;r<n;r++){
while(a[l]+d<a[r]){
l++;
}
ans=1ll*ans*(r+1-l)%mod;
}
cout<<ans<<'\n';
return 0;
}
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