A14243 | Epic Transformation

You are given an array $a$ of length $n$ consisting of integers. You can apply the following operation, consisting of several steps, on the array $a$ zero or more times:

- you select two different numbers in the array $a_i$ and $a_j$ ;
- you remove $i$ -th and $j$ -th elements from the array.

For example, if $n=6$ and $a=[1, 6, 1, 1, 4, 4]$ , then you can perform the following sequence of operations:

- select $i=1, j=5$ . The array $a$ becomes equal to $[6, 1, 1, 4]$ ;
- select $i=1, j=2$ . The array $a$ becomes equal to $[1, 4]$ .

What can be the minimum size of the array after applying some sequence of operations to it?

The first line contains a single integer $t$ ( $1 \le t \le 10^4$ ). Then $t$ test cases follow.

The first line of each test case contains a single integer $n$ ( $1 \le n \le 2 \cdot 10^5$ ) is length of the array $a$ .

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ( $1 \le a_i \le 10^9$ ).

It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$ .

For each test case, output the minimum possible size of the array after applying some sequence of operations to it.