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>
typedef long long ll;
typedef long double ld;
using namespace std;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n,d;
cin>>n>>d;
vector<int> a(n);
for(int i=0;i<n;i++){
cin>>a[i];
}
ll ans=1;
sort(a.rbegin(),a.rend());
int j=0;
for(int i=0;i<n;i++){
if(a[i]-a[j]<=d&&j<n){
j++;
i--;
}
else{
ans=(ans*(j-i))%1000000009;
}
}
cout<<ans;
return 0;
}
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