#include <bits/stdc++.h>
using namespace std;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vector<double> sticks(n);
for (int i = 0; i < n; i++) {
cin >> sticks[i];
}
// Special case: only 2 sticks
if (n == 2) {
cout << fixed << setprecision(6) << min(sticks[0], sticks[1]) << '\n';
continue;
}
// Calculate sum of middle sticks
double middleSum = 0;
for (int i = 1; i < n - 1; i++) {
middleSum += sticks[i];
}
// For n >= 3: max height = min(first + middle/2, last + middle/2)
double maxHeight = min(sticks[0] + middleSum / 2.0, sticks[n-1] + middleSum / 2.0);
cout << fixed << setprecision(6) << maxHeight << '\n';
}
return 0;
}
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