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
const int mod=1e9+9;
int32_t main()
{
    int n,k;cin>>n>>k;
    int a[n];
    for(int i=0;i<n;i++) cin>>a[i];
    sort(a,a+n);
    int i=0,j=0,ans=1;
    while(i<n){
        while(j<n && a[j]-a[i]<=k) j++;
        //cout<<j<<" "<<i<<endl;
        ans*=(j-i)%mod;
        ans%=mod;
        i++;
    }
    cout<<ans<<endl;
    return 0;
}
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