#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
using namespace std;
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
#define sp << " " <<
#define all(cont) cont.begin(),cont.end()
#define vi vector<int>
const int inf = 2e18,N = 1e5+1,MOD = 1e9+9;
int mult(int x,int y) {
return (x*y)%MOD;
}
void solve() {
int n,d;
cin >> n >> d;
vi a(n+1);
for (int i=1;i<=n;i++) cin >> a[i];
sort(a.begin()+1,a.end());
vi r(n+1);
int ptr = 1;
for (int i=1;i<=n;i++) {
while (ptr < n && a[ptr+1] <= a[i]+d) ptr++;
r[i] = ptr;
}
int ans = 1;
for (int i=1;i<=n;i++) {
ans = mult(ans,r[i]-i+1);
}
cout << ans << '\n';
}
int32_t main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#ifdef Dodi
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif
int t = 1;
//cin >> t;
while (t --> 0) solve();
}
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