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;
#define int long long
const int MOD = 1e9 + 9;
int arr[10000000];
signed main () {
int n, d;
cin >> n >> d;
for (int i = 0; i < n; i++) cin >> arr[i];
sort(arr, arr + n);
int l = 1;
for (int i = 0; i < n; i++) {
int ub = lower_bound(arr, arr + n, arr[i] - d) - arr;
l = (l * (i - ub + 1)) % MOD;
}
cout << l << '\n';
}
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