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 MOD 1000000009
#define MAXN 100010
long long n,d;
vector<long long> niz;
int main()
{
ios_base::sync_with_stdio(false);
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin>>n>>d;
for (long long i=1;i<=n;i++)
{
long long x; cin>>x;
niz.push_back(x);
}
sort(niz.begin(),niz.end());
long long ans=1;
long long j=0;
for (long long i=0;i<n;i++)
{
while (j<n-1 and niz[j+1]-niz[i]<=d) j++;
long long br=j-i+1;
ans*=br; if (ans>=MOD) ans%=MOD;
}
cout<<ans<<endl;
}
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