What is Heap sort. Write it's structure and explain max and min heap

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Heap sort is a comparison-based sorting algorithm that uses a binary heap data structure.

Heap sort involves building a heap from the input array and then repeatedly removing the largest (for max heap) or smallest (for min heap) element from the heap and adding it to the sorted array.
The structure of heap sort involves two main steps: heapify the input array to create a heap and then repeatedly extract the root element to get the sorted array.
Max heap is a binary tree where the value of each node is greater than or equal to the values of its children, while min heap is a binary tree where the value of each node is less than or equal to the values of its children.
Example: For the input array [4, 10, 3, 5, 1], the max heap would be [10, 5, 3, 4, 1] and the min heap would be [1, 4, 3, 10, 5].

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