#include <bits/stdc++.h>
using namespace std;
#define ll long long
const ll mod = 1e9 + 9;
const ll mmod = 998244353;
#define vl vector<long long>
#define vll vector<vector<long long>>
ll pow(ll x, ll n, ll mod){
if (n == 0){
return 1;
}
ll half = pow(x, n / 2, mod);
ll half_square = (half * half) % mod;
if (n % 2 == 0) {
return half_square;
} else {
return (half_square * x) % mod;
}
}
ll inversion_x(ll x, ll m){
ll vysledek = pow(x,m-2);
return vysledek;
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll n, d;
cin >> n >> d;
vl cisla;
for (ll i = 0; i < n; i++){
ll cislo;
cin >> cislo;
cisla.push_back(cislo);
}
sort (cisla.begin(), cisla.end());
ll l = 0, r = 0;
ll result = 1;
while (r < n){
while (cisla[r] - cisla[l] > d){
l++;
}
//l -= 1;
result *= (-l + r + 1);
result %= mod;
r++;
}
cout << result%mod << endl;
return 0;
}
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