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 <iostream>
#include <algorithm>
#include <vector>
using namespace std;
constexpr int MOD = 1e9 + 9;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, d;
cin >> n >> d;
vector<int> a(n);
for (int i = 0; i < n; i++)
cin >> a[i];
sort(a.begin(), a.end());
long long ans = 1;
for (int l = 0, r = 0; r < n; r++){
while (a[r] - a[l] > d)
l++;
ans = (ans * (r - l + 1)) % MOD;
}
cout << ans << "\n";
}
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