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;
long long mod = 1e9 + 9;
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n, d; cin >> n >> d;
vector<long long> v(n);
for(int i = 0 ; i < n; i++) cin >> v[i];
sort(v.begin(), v.end());
long long ans = 1;
int j = 0;
for(int i = 0 ; i < n; i++){
while(v[i] > v[j] + d) j++;
ans *= (i - j + 1);
ans %= mod;
}
cout << ans << "\n";
return 0;
}
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