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Show the results of inserting the key set {12,1,3,7,4,5,15} in order into an initially empty binary max heap. Show all intermediate steps as arrays after each max- heapify in the following table. Insert key Heap as array 12 1 3 7 5 15 4-

Show the results of inserting the key set {12,1,3,7,4,5,15} in order into an initially empty binary max heap. Show all intermediate steps as arrays after each max- heapify in the following table. Insert key Heap as array 12 1 3 7 5 15 4-

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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**Title: Understanding Binary Max Heaps: Step-by-Step Insertion Process** **Introduction:** This tutorial demonstrates the process of inserting a set of keys {12, 1, 3, 7, 4, 5, 15} into an initially empty binary max heap. Each step of the insertion process is shown in the table below, illustrating the transformation of the heap as an array after each max-heapify operation. **Insertion Process Table:** | **Insert Key** | **Heap as Array** | |-----------------|-------------------| | 12 | | | 1 | | | 3 | | | 7 | | | 4 | | | 5 | | | 15 | | **Explanation:** - **Start with an Empty Heap:** Begin with an empty max heap and gradually insert each key from the set into the heap. - **Max-Heapify Operations:** After each insertion, perform a max-heapify operation to maintain the max-heap property, where each parent node is greater than or equal to its children. - **Heap as Array Representation:** For each insertion, the max heap is represented as an array, showing the structure of the heap at that step in the process. This tutorial offers a clear visualization of how the max heap evolves with each inserted key, providing a fundamental understanding of heap data structures.
Transcribed Image Text:**Title: Understanding Binary Max Heaps: Step-by-Step Insertion Process** **Introduction:** This tutorial demonstrates the process of inserting a set of keys {12, 1, 3, 7, 4, 5, 15} into an initially empty binary max heap. Each step of the insertion process is shown in the table below, illustrating the transformation of the heap as an array after each max-heapify operation. **Insertion Process Table:** | **Insert Key** | **Heap as Array** | |-----------------|-------------------| | 12 | | | 1 | | | 3 | | | 7 | | | 4 | | | 5 | | | 15 | | **Explanation:** - **Start with an Empty Heap:** Begin with an empty max heap and gradually insert each key from the set into the heap. - **Max-Heapify Operations:** After each insertion, perform a max-heapify operation to maintain the max-heap property, where each parent node is greater than or equal to its children. - **Heap as Array Representation:** For each insertion, the max heap is represented as an array, showing the structure of the heap at that step in the process. This tutorial offers a clear visualization of how the max heap evolves with each inserted key, providing a fundamental understanding of heap data structures.
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