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Minimum Difference Between Highest and Lowest of K Scores

You are given a 0-indexed integer array nums, where nums[i] represents the score of the ith student.

You are given a 0-indexed integer array nums, where nums[i] represents the score of the ith student. You are also given an integer k.

Pick the scores of any k students from the array so that the difference between the highest and the lowest of the k scores is minimized.

Return the minimum possible difference.

Minimum Difference Between Highest and Lowest of K Scores diagram

Example 1

Input: nums = [90], k = 1

Output: 0

Explanation: There is one way to pick score(s) of one student: - [90]. The difference between the highest and lowest score is 90 - 90 = 0. The minimum possible difference is 0.

Example 2

Input: nums = [9,4,1,7], k = 2

Output: 2

Explanation: There are six ways to pick score(s) of two students: - [9,4,1,7]. The difference between the highest and lowest score is 9 - 4 = 5. - [9,4,1,7]. The difference between the highest and lowest score is 9 - 1 = 8. - [9,4,1,7]. The difference between the highest and lowest score is 9 - 7 = 2. - [9,4,1,7]. The difference between the highest and lowest score is 4 - 1 = 3. - [9,4,1,7]. The difference between the highest and lowest score is 7 - 4 = 3. - [9,4,1,7]. The difference between the highest and lowest score is 7 - 1 = 6. The minimum possible difference is 2.

Constraints

  • 1 <= k <= nums.length <= 1000
  • 0 <= nums[i] <= 10^5

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