#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define ll long long
#define pii pair<ll, ll>
#define mll unordered_map<ll, ll>
#define endl '\n'
// #define int ll
int main() {
int n, d;
cin >> n >> d;
vector<int> v(n);
for (int i = 0; i < n; i++) {
cin >> v[i];
}
sort(v.begin(), v.end());
int l = 0;
ll ans = 1;
ll mod = 1e9 + 9;
for (int r = 0; r < n; r++) {
while (l < r and v[r] - v[l] > d) {
l++;
}
int b = r - l + 1;
ans = (ans * b) % mod;
}
cout << ans << endl;
}
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