#include <bits/stdc++.h>
using namespace std;
#define int long long
const int MOD=1e9+9;
signed main()
{
ios::sync_with_stdio(0);
cin.tie(0);
int n,d;
cin >> n >> d;
vector <int> a(n);
for(int i=0;i<n;i++) cin >> a[i];
sort(a.begin(),a.end());
int ans=1LL,r=0;
for(int l=0;l<n;l++){
while(r<n-1 && a[r+1]<=a[l]+d) r++;
ans*=(r-l+1LL);
ans%=MOD;
}
cout << ans;
}
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