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 long long MOD = 1e9 + 9;
int main () {
long long n, d;
cin >> n >> d;
vector<long long> arr(n);
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
sort(arr.begin(), arr.end());
long long r = 0;
long long ans = 1;
for(long long l = 0; l < n; l++){
while(r < n - 1 && arr[r + 1] - arr[l] <= d){
r++;
}
long long distance = r - l + 1;
ans = (ans * distance) % MOD;
}
cout << ans << '\n';
}
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