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 <vector>
#include <iostream>
#include <algorithm>
int main(){
int n;
long long int d;
std::cin >> n >> d;
std::vector<long long int> blocks(n);
for (int i =0; i < n; i++){
std::cin >> blocks[i];
}
std::sort(blocks.begin(),blocks.end());
long long int mod = 1000000009;
long long int total = 1;
int last = 0;
for (int i =0;i < n; i++){
while (blocks[i] - blocks[last] > d){
last += 1;
}
total = (long long int) (total * (i - last + 1)) % mod;
}
std::cout << total << '\n';
}
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