#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9 + 9;
const int MaxN = 1e6 + 5;
int n, d;
int arr[MaxN];
void Inp()
{
cin >> n >> d;
for (int x = 1; x <= n; x++)
{
cin >> arr[x];
}
sort(arr + 1, arr + n + 1);
}
void Exc()
{
int y = 1;
long long res = 1;
for (int x = 1; x <= n; x++)
{
while (y < x && arr[y] + d < arr[x])
{
y++;
}
res = (res * (x - y + 1)) % mod;
}
cout << res;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int test = 1;
//cin >> test;
for (int x = 1; x <= test; x++)
{
Inp();
Exc();
}
return 0;
}
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