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 ll long long
const int mod=1e9+9;
ll n, d, ans=1, x;
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n>>d;
vector<int> v(n);
for (auto &x:v) cin>>x;
sort(v.begin(), v.end());
for (int i=0; i<n; i++)
{
while (v[x]+d<v[i]) x++;
ans=(ans*(i-x+1))%mod;
}
cout<<ans;
}
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