int countUniqueAverages(std::vector<int>& arr) {
const int n = arr.size();
if (n < 2) return 0;
std::sort(arr.begin(), arr.end());
std::unordered_set<double> uniqueAverages;
for (int i = 0; i < n/2; ++i) {
int lowest = arr[i];
int highest = arr[n-i-1];
uniqueAverages.insert((lowest+highest)/2.0);
}
return uniqueAverages.size();
}