#include <bits/stdc++.h>
using namespace std;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL);
#define deb(x) cout<<#x<<'='<<x<<'\n';
#define deb2(x,y) cout<<#x<<'='<<x<<", "<<#y<<'='<<y<<'\n';
#define int long long
#define all(x) (x).begin(), (x).end()
#define pii pair<int, int>
#define pb push_back
#define f first
#define s second
#define sz(x) (int)(x).size()
const long double PI = acos(-1);
const int mod = 1e9+9, inf = 1e18;
const int D = 1e6 + 10;
void solve_test() {
int n, d; cin>>n>>d;
int a[n];
for (int i=0; i<n; i++)
cin>>a[i];
sort(a, a+n);
int ans=1;
for (int r=0, l=0; r<n; r++) {
while (l<=r and a[l]+d<a[r])
l++;
ans *= (r-l+1);
ans %= mod;
// deb2(l, r);
}
cout << ans << '\n';
}
signed main() {
fastio
int t = 1;
// cin >> t;
for (int i = 1; i <= t; i++) {
// cout << "Case #" << i << ": ";
solve_test();
}
return 0;
}
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