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;
using ll = long long;
const int MOD = 1e9+9;
int main() {
ll n, d;
cin>>n>>d;
ll arr[n];
for(ll i=0; i<n; i++){
cin>>arr[i];
}
sort(arr, arr+n);
ll l = 0, r = 0;
ll sol = 1;
for(; l<n; l++){
while(arr[l]+d>=arr[r+1] && r<n-1){
r++;
}
ll dist = r-l+1;
sol = (sol*dist)%MOD;
}
cout<<(sol%MOD);
}
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