#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int main() {
ll n, d;
cin >> n >> d;
vector<ll> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
sort(a.begin(), a.end());
ll ans = 1;
int j = 0;
for (int i = 0; i < n; i++) {
while(a[j]+d<a[i] && j<i){j++;}
ans = (ans*ll(1 + i-j))%ll(1e9+9);
}
cout << ans;
return 0;
}
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