This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define ll long long
int main() {
ios::sync_with_stdio(false); cin.tie(0);
int mod = 1e9+9;
int n, d; cin >> n >> d;
vector<int> a(n); ll ans = 1;
for (int i=0;i<n;i++) {cin >> a[i];}
sort(a.begin(),a.end());
auto it = a.begin();
while (it!=a.end()) {
int diff = (it++)-lower_bound(a.begin(),a.end(),*it-d)+1;
ans = (ans*diff)%mod;
} cout << ans << '\n';
}
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