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;
#define int long long
#define LCBorz ios_base::sync_with_stdio(false); cin.tie(0);
#define all(x) x.begin(), x.end()
const int N=200005;
const int INF=1e18;
const int mod=1e9+9;
int32_t main() {
LCBorz;
int n,k;cin>>n>>k;
vector<int> v(n+1);
for(int i=0;i<n;i++){
cin>>v[i];
}
v[n]=INF;
sort(all(v));
int ans=1;
for(int i=n-1,j=n-1;i>=0;i--){
while(j>=i&&v[j]>v[i]+k)j--;
ans=ans*(j-i+1)%mod;
}
cout<<ans<<endl;
return 0;
}
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