#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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