Taco Array Operation

You are given an integer array of size n containing positive integers. You must perform exactly one operation on the array: choose two distinct indices i and j (with 1 ≤ i, j ≤ n and i ≠ j) and add the value of the element at index j to the element at index i. Your task is to compute the maximum possible value of any element in the array after this one operation.

Note: Since you are allowed only one operation per test case, the best strategy is to add the two largest numbers in the array.

Mathematical Formulation:

If the array sorted in non-decreasing order is \(a_1 \le a_2 \le \cdots \le a_n\), then the answer is \(a_{n-1} + a_n\).

inputFormat

The first line of input contains a single integer T (1 ≤ T ≤ 10⁴), representing the number of test cases. Each test case is described as follows:

• The first line of each test case contains a single integer n (2 ≤ n ≤ 10⁵), the number of elements in the array.
• The second line contains n space-separated positive integers representing the elements of the array.

It is guaranteed that the sum of n over all test cases does not exceed 10⁶.

outputFormat

For each test case, output a single integer - the maximum possible value of any element in the array after performing exactly one operation, on a separate line.

## sample

1
4
3 8 2 5

13

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