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Solution: Sort an Array

Explore how to implement heap sort to sort an integer array in ascending order with guaranteed O(n log n) time complexity and minimal extra space usage. Understand building and maintaining a max heap to perform in-place sorting effectively, while considering algorithm stability and efficiency.

Statement

Given an integer array, nums, sort it in ascending order and return the sorted array.

You must implement the sorting algorithm yourself; do not use any built-in sorting functions. The solution must run in O(nlogn)O(n \log n) time and use the minimum possible extra space.

Constraints:

  • 11 \leq nums.length ...