// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
using namespace std;
int MOD = 1e9+9;
int main() {
int n, d;
cin>>n>>d;
vector<int> t(n);
for (int i = 0; i<n; i++) cin>>t[i];
sort(t.begin(), t.end());
vector<int> b(n);
b[0]=0;
int ans = 1;
int j = 0;
for (int i = 1; i<n; i++) {
while (t[i]-t[j]>d) {
j++;
}
b[i]=i-j;
ans*=((b[i]+1)%MOD);
// cout<<b[i]<<" ";
// cout<<ans<<endl;
}
cout<<ans<<endl;
}
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