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>
#define int long long
#define MOD (int) 1e9+9
using namespace std;
int n, d;
vector<int> a;
signed main(){
cin >> n >> d;
a.resize(n);
for(int i = 0; i < n; i++)
cin >> a[i];
sort(a.rbegin(), a.rend());
int j = 0;
int ans = 1;
for(int i = 0; i < n; i++){
while(j+1 < n && a[j+1]+d >= a[i]) j++;
ans *= j+1-i;
ans %= MOD;
}
cout << ans;
}
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