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>
#define ll long long
using namespace std;
const ll maxn=1e6+1,MOD=1e9+9;
ll h[maxn];
int main()
{
ll n,d;
cin>>n>>d;
ll ans=1;
for (ll i=1;i<=n;i++) cin>>h[i];
sort(h+1,h+1+n);
for (ll i=1;i<=n;i++)
{
ll pos=upper_bound(h+1,h+1+n,h[i]-d-1)-h;
//cerr<<pos<<" ";
if (h[pos]>=h[i]-d) pos=i-pos+1;
else pos=1;
//cerr<<pos<<endl;
//pos++;
ans*=pos;
ans%=MOD;
}
cout<<ans;
}
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