This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
const int MOD = 1e9 + 9;
int main() {
	int n, d;
	cin >> n >> d;
	vector<int> ar(n);
	for (int i = 0; i < n; i++) { cin >> ar[i]; }
	sort(ar.begin(), ar.end());  // sort the blocks
	int r = 0, sol = 1;
	for (int l = 0; l < n; l++) {
		while (r < n - 1 && ar[r + 1] - ar[l] <= d) r++;
		int dist =
		    r - l +
		    1;  // largest tower we can built when ar[l] block is the base
		sol = (sol * 1LL * dist) % MOD;
	}
	cout << sol << '\n';
}
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