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;
int arr[n];
for(int i = 0;i<n;i++) {
cin >> arr[i];
}
sort(arr,arr+n);
int count[n];
long long int ans = 1;
int left = 0;
int right = 0;
while(left <= right) {
while(right < n && arr[right] - arr[left] <=d) {
count[right] = right - left+1;
right++;
}
left++;
}
for(int i =0;i<n;i++) {
ans = (ans * 1LL * count[i]) % MOD;
}
cout << ans << endl;
return 0;
}
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