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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