#include <bits/stdc++.h>
constexpr int_fast64_t MOD = 1e9+9;
int main()
{
using namespace std;
int n,d;
cin>>n>>d;
vector<int> sz(n);
for(auto &x : sz)
cin>>x;
sort(sz.begin(),sz.end());
int ans=1;
for (int t = 0, h = 1; t < n && h < n; ++h) {
for (; t < n && sz[t] < sz[h] - d; ++t);
ans = ans * (h + 1ll - t) % MOD;
}
cout<<ans<<"\n";
}
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