#include <algorithm>
#include <iostream>
using namespace std;
const int mod = 1e9 + 9;
int main() {
long long int n, d;
cin >> n >> d;
long long int a[n];
for(int i = 0;i < n;i++) {
cin >> a[i];
}
sort(a, a + n);
long long int p2 = 0;
long long int ans = 1;
long long int p1 = 0;
while(p1 < n) {
while (p2 < n - 1 && a[p2 + 1] - a[p1] <= d) {
p2++;
}
long long int val = p2 - p1 + 1;
ans = (1LL * ans * val) % mod;
p1++;
}
cout << ans << endl;
}
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