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;
const int MOD=1e9+9;
int main()
{
int n, d;
cin >> n >> d;
int a[n];
for (int i=0; i<n; i++)
{
cin >> a[i];
}
sort(a, a+n);
int r=0, ans=1;
for (int i=0; i<n; i++)
{
while (r+1<n && a[r+1]<=a[i]+d)
{
r++;
}
ans=ans*(r-i+1);
ans=ans%MOD;
}
cout << ans << "\n";
}
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