We appreciate your visit to Find the array representation of the given min heap if the value 96 is deleted from it Initial min heap 86 96 106 116 122. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this question, we need to understand the basics of a min heap data structure. A min heap is a complete binary tree where each parent node is less than or equal to its child nodes. The root of the heap, which is the smallest element, is at the top.
Given the initial array representation of the min heap:
[tex]\text{86, 96, 106, 116, 122, 113}[/tex]
We are instructed to remove the value 96 from this heap. When removing an element from a min heap, especially if it's not the root, we typically replace the last element of the heap with the element to be removed and then rearrange the heap to maintain the heap property.
Here's a step-by-step process of what happens:
Remove the element 96. The last element, 113, takes its position.
New array: [tex]\text{86, 113, 106, 116, 122}[/tex]
Now, 113 does not satisfy the min heap property because it is greater than its child, 106. To fix this, we need to 'sift down' the element 113.
Compare 113 with its children (106 and 116) and swap it with the smallest child, which is 106.
New array: [tex]\text{86, 106, 113, 116, 122}[/tex]
Now, 113 is correctly placed as all child nodes are greater than the parent node.
Thus, the array representation of the heap after deleting 96 is:
[tex]\text{86, 106, 113, 116, 122}[/tex]
Therefore, the correct multiple choice option is B. 86, 113, 106, 116, 122.
Thanks for taking the time to read Find the array representation of the given min heap if the value 96 is deleted from it Initial min heap 86 96 106 116 122. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
