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2517\. Maximum Tastiness of Candy Basket

Medium

You are given an array of positive integers `price` where `price[i]` denotes the price of the ith candy and a positive integer `k`.

The store sells baskets of `k` **distinct** candies. The **tastiness** of a candy basket is the smallest absolute difference of the **prices** of any two candies in the basket.

Return _the **maximum** tastiness of a candy basket._

**Example 1:**

**Input:** price = [13,5,1,8,21,2], k = 3

**Output:** 8

**Explanation:** Choose the candies with the prices [13,5,21]. 

The tastiness of the candy basket is: min(|13 - 5|, |13 - 21|, |5 - 21|) = min(8, 8, 16) = 8. 

It can be proven that 8 is the maximum tastiness that can be achieved.

**Example 2:**

**Input:** price = [1,3,1], k = 2

**Output:** 2

**Explanation:** Choose the candies with the prices [1,3]. 

The tastiness of the candy basket is: min(|1 - 3|) = min(2) = 2. 

It can be proven that 2 is the maximum tastiness that can be achieved.

**Example 3:**

**Input:** price = [7,7,7,7], k = 2

**Output:** 0

**Explanation:** Choosing any two distinct candies from the candies we have will result in a tastiness of 0.

**Constraints:**

*   2 <= k <= price.length <= 105
*   1 <= price[i] <= 109




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