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>
#define int long long
using namespace std;
const int N = 1e6, mod = 1e9+9;
int a[N];
int32_t main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n,d;
    cin >> n >> d;
    for (int i=0; i<n; ++i){
        cin >> a[i];
    }
    sort(a,a+n);
    int fin = 0, ans = 1;
    for (int i=0; i<n; ++i){
        while (fin < n and a[fin] <= d+a[i]){
            fin++;
        }
        int res = fin-i;
        ans = (ans*res)%mod;
    }
    cout << ans;
	return 0;
}
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