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;
int main() {
std::cout.sync_with_stdio(0);
std::cin.tie(0);
int n,d;
std::cin>>n>>d;
std::vector<int> arr(n),combos(n);
for (int i = 0; i < n; i++) {
std::cin>>arr[i];
}
std::sort(arr.begin(), arr.end());
int ans = 1;
int j = 0;
for (int i = 0; i < n; i++) {
while (j<n && arr[i]+d>=arr[j]) {
j++;
}
ans=(ans*(j-i)%1000000009)%1000000009;
}
std::cout << ans << std::endl;
return 0;
}
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