#include <bits/stdc++.h>
using namespace std;
void setup()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
int n, a[1000000], d;
long long res = 1;
const long long mod = 1e9 + 9;
int main()
{
setup();
cin >> n >> d;
for (int i = 0; i < n; ++i)
{
cin >> a[i];
}
sort(a, a + n);
for (int i = 0, j = 0; i < n; ++i)
{
j = max(i, j);
while (j < n && a[i] + d >= a[j])
{
j++;
}
(res *= j - i) %= mod;
}
cout << res;
return 0;
}
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