A14331 | Eshag Loves Big Arrays

Eshag has an array $a$ consisting of $n$ integers.

Eshag can perform the following operation any number of times: choose some subsequence of $a$ and delete every element from it which is strictly larger than $AVG$ , where $AVG$ is the average of the numbers in the chosen subsequence.

For example, if $a = [1 , 4 , 3 , 2 , 4]$ and Eshag applies the operation to the subsequence containing $a_1$ , $a_2$ , $a_4$ and $a_5$ , then he will delete those of these $4$ elements which are larger than $\frac{a_1+a_2+a_4+a_5}{4} = \frac{11}{4}$ , so after the operation, the array $a$ will become $a = [1 , 3 , 2]$ .

Your task is to find the maximum number of elements Eshag can delete from the array $a$ by applying the operation described above some number (maybe, zero) times.

A sequence $b$ is a subsequence of an array $c$ if $b$ can be obtained from $c$ by deletion of several (possibly, zero or all) elements.

The first line contains an integer $t$ $(1\le t\le 100)$ — the number of test cases. The description of the test cases follows.

The first line of each test case contains an integer $n$ $(1\le n\le 100)$ — the length of the array $a$ .

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ $(1\le a_i \le 100)$ — the elements of the array $a$ .

For each test case print a single integer — the maximum number of elements Eshag can delete from the array $a$ .