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.

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 <= 104`
- `0 <= nums[i] <= 104`
- `0 <= k <= 104`