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;
#define ll long long
const int mxn=2e6+5,M=1e9+9;
ll n,a[mxn],ans=1,d;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>d;
for(int i=1;i<=n;i++)
cin>>a[i];
sort(a+1,a+n+1);
int p=1;
for(int i=1;i<=n;i++){
while(d+a[p]<a[i])p++;
ans=(ans*(i-p+1))%M;
}
cout<<ans;
}
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