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 <iostream>
#include <algorithm>
#include <vector>
using namespace std;
constexpr int MOD = 1e9 + 9;
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    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());
    long long ans = 1;
    for (int l = 0, r = 0; r < n; r++){
        while (a[r] - a[l] > d)
            l++;
        ans = (ans * (r - l + 1)) % MOD;
    }
    cout << ans << "\n";
}
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