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 int long long
using namespace std;
int mod=1e9+9;
int32_t main()
{
cin.tie(0);
cout.tie(0);
ios_base::sync_with_stdio(0);
int n,m,x;
cin>>n>>m;
vector<int> Q;
for(int i=1;i<=n;i++)
{
cin>>x;
Q.push_back(x);
}
sort(Q.begin(),Q.end());
int wynik=1;
int r=Q.size()-1;
for(int i=Q.size()-1;i>=0;i--)
{
while(r>=1 && Q[i]-Q[r-1]<=m)
r--;
wynik*=(i-r+1);
wynik%=mod;
}
cout<<wynik;
return 0;
}
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