# Number of Distinct Averages

In this lab, you will implement a function to find the number of distinct averages calculated from a given even-length integer array. You are given a **0-indexed** integer array `nums`

of **even** length. The goal is to perform a set of operations on the array until it is empty and count the number of distinct averages computed using the following process:

- Find the minimum number in
`nums`

and remove it. - Find the maximum number in
`nums`

and remove it. - Calculate the average of the two removed numbers.

The **average** of two numbers `a`

and `b`

is `(a + b) / 2`

.

- For example, the average of
`2`

and`3`

is`(2 + 3) / 2 = 2.5`

.

**Note** that when there is a tie for a minimum or maximum number, any can be removed.

## Examples

**Example 1:**

**Input:** nums = `[4,1,4,0,3,5]`

**Output:** 2

**Explanation:**

- Remove 0 and 5, and the average is (0 + 5) / 2 = 2.5. Now, nums =
`[4,1,4,3]`

. - Remove 1 and 4. The average is (1 + 4) / 2 = 2.5, and nums =
`[4,3]`

. - Remove 3 and 4, and the average is (3 + 4) / 2 = 3.5.

Since there are 2 distinct numbers among 2.5, 2.5, and 3.5, we return 2.

**Example 2:**

**Input:** nums = `[1,100]`

**Output:** 1

**Explanation:**

There is only one average to be calculated after removing 1 and 100, so we return 1.

## Constraints

`2 <= nums.length <= 100`

`nums.length`

is even.`0 <= nums[i] <= 100`

## Challenges

Complete the following challenges:

- Write the
`distinctAverages`

function to compute the number of distinct averages of the given input array`nums`

. - Export the
`distinctAverages`

function from the`index.js`

file.

## Evaluation Script

The evaluation script will test your implementation by using dynamic imports, which means you have to ensure that the `distinctAverages`

function is exported in your `index.js`

file. The order of the tests should match the order of the challenges.

The final length of the array `testlog`

in the evaluation script must be equal to the number of challenges. In this case, there are 2 challenges. Make sure you properly write the evaluation script to avoid any errors.

Good luck!