#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
const int MOD = 1e9 + 9;
int main() {
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 dr = 0;
int rez = 1;
for (int st = 0; st < n; st++) {
while (dr < n - 1 && a[dr + 1] - a[st] <= d) {
dr++;
}
int l = dr - st + 1;
rez = (rez * 1LL * l) % MOD;
}
cout << rez << endl;
}
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