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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