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());
int r = 0;
int 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;
sol = (sol * 1LL * dist) % MOD;
}
cout << sol << endl;
}
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