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Smallest Range II

You are given an integer array nums and an integer k.

You are given an integer array nums and an integer k.

For each index i where 0 <= i < nums.length, change nums[i] to be either nums[i] + k or nums[i] - k.

The score of nums is the difference between the maximum and minimum elements in nums.

Return the minimum score of nums after changing the values at each index.

Smallest Range II diagram

Example 1

Input: nums = [1], k = 0

Output: 0

Explanation: The score is max(nums) - min(nums) = 1 - 1 = 0.

Example 2

Input: nums = [0,10], k = 2

Output: 6

Explanation: Change nums to be [2, 8]. The score is max(nums) - min(nums) = 8 - 2 = 6.

Example 3

Input: nums = [1,3,6], k = 3

Output: 3

Explanation: Change nums to be [4, 6, 3]. The score is max(nums) - min(nums) = 6 - 3 = 3.

Constraints

  • 1 <= nums.length <= 10^4
  • 0 <= nums[i] <= 10^4
  • 0 <= k <= 10^4

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