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Java-based LeetCode algorithm problem solutions, regularly updated
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2465\. Number of Distinct Averages
Easy
You are given a **0-indexed** integer array `nums` of **even** length.
As long as `nums` is **not** empty, you must repetitively:
* 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`.
Return _the number of **distinct** averages calculated using the above process_.
**Note** that when there is a tie for a minimum or maximum number, any can be removed.
**Example 1:**
**Input:** nums = [4,1,4,0,3,5]
**Output:** 2
**Explanation:**
1. Remove 0 and 5, and the average is (0 + 5) / 2 = 2.5. Now, nums = [4,1,4,3].
2. Remove 1 and 4. The average is (1 + 4) / 2 = 2.5, and nums = [4,3].
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`
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