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>
using namespace std;
typedef long long ll;
const ll MOD=1e9 + 9;
int main(){
ll n,d;
cin>>n>>d;
ll block[n];
for(ll i=0;i<n;i++){
cin>>block[i];
}
sort(block,block+n);
ll ans=1;
ll j=0;
for(ll i=0;i<n;i++){
while(j<i && block[j]+d<block[i]){
j++;
}
ans=((ans*(i-j+1))%MOD)%MOD;
}
cout<<ans<<"\n";
}
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