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> a(n); for (int i = 0; i < n; i++) cin >> a[i];
sort(a.begin(), a.end());
int r = 0; int ans = 1;
for (int l = 0; l < n; l++) {
while (r<n-1 && a[r+1]-a[l] <= d) r++;
int count = r-l+1;
ans = (ans * 1LL * count) % MOD;
}
cout << ans << '\n';
}
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