heapsort algorithm

Heapsort algorithm is a comparison-based sorting algorithm that creates a binary heap data structure to sort elements. It involves two main steps: 1. Building a heap from the given array, which is done by repeatedly comparing each element with its parent and swapping if necessary. 2. Removing the root element of the heap (largest element in max heap or smallest element in min heap) and placing it at the end of the sorted array. This process is repeated for the remaining elements in the heap until the array is sorted. The key idea of heapsort is to efficiently build and maintain the heap property, using the heapify function to sift elements down from the top, ensuring that the largest (or smallest) element is always at the root. This algorithm has a time complexity of O(n log n) and is not affected by the initial order of the input elements.

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