#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
template<typename T> using oset =
__gnu_pbds::tree<T, __gnu_pbds::null_type, greater<T>,
__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>;
#define vt vector
#define uset unordered_set
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
#define ll long long
#define ull unsigned ll
#define ld long double
#define okey order_of_key
#define oget find_by_order
#define gcf(x, y) __gcd(x, y)
#define bits(x) __builtin_popcount(x)
typedef vt<int> vi;
typedef pair<int,int> pi;
typedef pair<ll, ll> pll;
const ll MAXN = 3e5;
const ll MAXM = 60;
const ll MAXL = 33;
const ll MOD = 1e9 + 9;
ll N, D, a[MAXN];
void solve(){
cin>>N>>D;
for(int i = 0; i<N; ++i){
cin>>a[i];
}
sort(a, a+N);
ll prod = 1;
int lo = 0;
for(int i = 0; i<N; ++i){
while(a[i] - a[lo] > D) ++lo;
prod *= i-lo+1;
prod %= MOD;
}
cout<<prod<<"\n";
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t = 1;
//cin>>t;
while(t--) solve();
}
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