This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Source: https://usaco.guide/general/io
#include <bits/stdc++.h>
using namespace std;
const int MOD = 1e9 + 9;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
int d; cin >> d;
int a[n];
for (int i = 0; i < n; ++i) cin >> a[i];
sort(a, a+n);
int l = 0;
long long ans = 1;
for (int i = 1; i < n; ++i) {
while (a[i] - a[l] > d) l++;
int choices = i - l + 1;
ans = ans * choices;
ans %= MOD;
}
cout << ans << "\n";
}
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