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 <iostream>
#include <algorithm>
#include <vector>
using namespace std;
#define ll long long
int mod = 1e9 + 9;
int main(){
int n = 0;
int d = 0;
ll ans = 1;
cin >> n >> d;
vector<int> size(n);
for(int i = 0; i < n; i++){
cin >> size[i];
}
sort(size.begin(), size.end());
int l = 0;
for(int i = 0; i < n; i++){
while(l < i && size[i] - size[l] > d){
l += 1;
}
int iSize = i - l + 1;
ans *= iSize;
ans %= mod;
}
cout << ans << endl;
return 0;
}
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