#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll MOD = 1e9 + 9;
int main(){
cin.tie(0)->sync_with_stdio(0);
int n; ll d; cin >> n >> d;
vector<ll> h(n), dp(n);
for(int i=0; i<n; i++){
cin >> h[i];
}
sort(h.begin(), h.end());
dp[0] = 1;
int l = 0;
for(int i=1; i<n; i++){
while(h[i] - h[l] > d) l ++;
dp[i] = (dp[i - 1] * (i - l + 1)) % MOD;
}
cout << dp[n - 1] << "\n";
return 0;
}
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