#include <iostream>
#include <algorithm>
using namespace std;
int a[1<<20];
int main(){
int n, d, mod = 1e9 + 9;
cin>>n>>d;
for (int i=1;i<=n;i++)
cin>>a[i];
sort(a + 1, a + n + 1);
int wys = 1;
for (int i=1, l=1;i<=n;i++){
while (l < i and a[l] + d < a[i])
l++;
wys = 1LL * wys * (i - l + 1) % mod;
}
cout<<wys<<'\n';
}
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