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;
long long mod=1e9+9;
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n,d; cin>>n>>d;
vector<int>a(n);
for(int i=0;i<n;i++)
{
cin>>a[i];
}
sort(a.begin(),a.end());
long long ans=1;
int l=0;
for(int r=0;r<n;r++)
{
while(a[r]>a[l]+d)
{
l++;
}
ans=(ans*1ll*(r-l+1))%mod;
}
cout<<ans;
return 0;
}
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