Question: How do you remove the maximum element from a max-heap?
Options:
Remove the root and re-heapify
Remove the last element
Swap the root with the last element
Both A and C
Correct Answer: Both A and C
Solution:
To remove the maximum element from a max-heap, you swap the root with the last element, remove the last element, and then re-heapify.
How do you remove the maximum element from a max-heap?
Practice Questions
Q1
How do you remove the maximum element from a max-heap?
Remove the root and re-heapify
Remove the last element
Swap the root with the last element
Both A and C
Questions & Step-by-Step Solutions
How do you remove the maximum element from a max-heap?
Step 1: Identify the maximum element, which is located at the root of the max-heap (the first element).
Step 2: Swap the root element with the last element in the heap (the last element in the array representation).
Step 3: Remove the last element (which is now the maximum element) from the heap.
Step 4: Re-heapify the heap starting from the root to maintain the max-heap property. This involves comparing the new root with its children and swapping it with the larger child until the max-heap property is restored.
Max-Heap Structure – Understanding the properties of a max-heap, where the maximum element is always at the root.
Heap Operations – Knowledge of how to perform operations like insertion, deletion, and re-heapification in a heap data structure.
Re-Heapification Process – The process of restoring the heap property after removing the maximum element.
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