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 MOD 1000000009
#define ll long long
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  ll n, d, j = 0, ans = 1;
  cin >> n >> d;
  vector<ll> arr(n);
  
  for (int i = 0; i < n; i++)
    cin >> arr[i];
sort(arr.begin(), arr.end());
  
  for (int i = 0; i < n; i++) {
	  while (j < n && arr[j] - arr[i] <= d) j++;
	  ans *= j - i;
	  ans %= MOD;
  }
  cout << ans << "\n";
}
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