#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
#define size(x) (int)(x).size()
#define int long long
typedef pair <int,int> pii;
using i64 = long long;
template <class F, class _S>
bool chmin(F &u, const _S &v){
bool flag = false;
if ( u > v ){
u = v; flag |= true;
}
return flag;
}
template <class F, class _S>
bool chmax(F &u, const _S &v){
bool flag = false;
if ( u < v ){
u = v; flag |= true;
}
return flag;
}
const int Mod = 1e9 + 9;
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, d; cin >> n >> d;
vector <int> h(n);
for ( auto &u: h ) cin >> u;
sort(all(h));
int ans = 1, j = 0;
for ( int i = 0; i < n; i++ ){
while ( h[j] + d < h[i] ) j++;
ans = ans * (i - j + 1) % Mod;
}
cout << ans;
cout << '\n';
}
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