#include <bits/stdc++.h>
using namespace std;
using lli = int64_t;
//replace with your directory
#ifdef LOCAL
#include <C:/Coding/CP/templates/content/debug/debug.h>
#else
#define debug(...)
#endif
const int mod = 1000000009;
void solve() {
int n, d;
cin >> n >> d;
vector <int> a(n + 1);
for (int i = 1; i <= n; ++i) {
cin >> a[i];
}
sort(a.begin(), a.end());
vector <int> dp(n + 1, 0);
dp[0] = 1;
for (int i = 1, j = 1; i <= n; ++i) {
while (j < i && a[j] + d < a[i]) j++;
dp[i] = 1LL * dp[i - 1] * (i - j + 1) % mod;
}
cout << dp[n] << '\n';
}
int main() {
std::cin.tie(0)->sync_with_stdio(0);
#ifdef LOCAL
auto begin = std::chrono::high_resolution_clock::now();
#endif
int tt = 1;
while (tt--) {
solve();
}
#ifdef LOCAL
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
std::cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
#endif
return 0;
}
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