Array With Elements Not Equal to Average of

lcpy gen -n 1968   # by problem number
lcpy gen -s array_with_elements_not_equal_to_average_of_neighbors   # by problem name

Input: nums = [1,2,3,4,5]
Output: [1,2,4,5,3]
Explanation: When i=1, nums[i] = 2, and the average of its neighbors is (1+4) / 2 = 2.5. When i=2, nums[i] = 4, and the average of its neighbors is (2+5) / 2 = 3.5. When i=3, nums[i] = 5, and the average of its neighbors is (4+3) / 2 = 3.5.

Input: nums = [6,2,0,9,7]
Output: [9,7,6,2,0]
Explanation: When i=1, nums[i] = 7, and the average of its neighbors is (9+6) / 2 = 7.5. When i=2, nums[i] = 6, and the average of its neighbors is (7+2) / 2 = 4.5. When i=3, nums[i] = 2, and the average of its neighbors is (6+0) / 2 = 3. Note that the original array [6,2,0,9,7] also satisfies the conditions.

class Solution:
    # Time: O(n log n)
    # Space: O(n) for the sorted copy
    def rearrange_array(self, nums: list[int]) -> list[int]:
        result = sorted(nums)
        for i in range(0, len(result) - 1, 2):
            result[i], result[i + 1] = result[i + 1], result[i]
        return result