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 pb push_back
#define mp make_pair
#define float long double
const int MOD=1e9+9;
//const int MOD=998244353;
const int sqn=450;
const long double eps=1e-6;
int n,d,arr[2000001];
void runtc(){
	cin>>n>>d;
	for (int i=1;i<=n;i++){
		cin>>arr[i];
	}
	sort(arr+1,arr+n+1);
	reverse(arr+1,arr+n+1);
	long long ans=1;
	int id=1;
	for (int i=1;i<=n;i++){
		while (arr[id]>arr[i]+d) id++;
		ans*=i-id+1;
		ans%=MOD;
	}
	cout<<ans;
}
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    //freopen("snowboots.in","r",stdin);
    //freopen("snowboots.out","w",stdout);
    //freopen("input1.in","r",stdin);
    //freopen("output1.out","w",stdout);
    //freopen("perfectly_balanced_chapter_1_input.txt","r",stdin);
    //freopen("hackercup_output.txt","w",stdout);
    int tc;
    //cin>>tc;
    tc=1;
    for (int i=1;i<=tc;i++){
        //cout<<"Case #"<<i<<": ";
        runtc();
    }
}
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