For example, A= [4,1,3,2,16,9,10,14,8,7] and BUILD-MAX-HEAP(A) will make change per iteration as below. [4, 1, 3, 2, 16, 9, 10, 14, 8, 7] after MAX-HEAPIFY for the parent 16 [4, 1, 3, 14, 16, 9, 10, 2, 8, 7] after MAX-HEAPIFY for the parent 2 [4, 1, 10, 14, 16, 9, 3, 2, 8, 7] after MAX-HEAPIFY for the parent 3 [4, 16, 10, 14, 7, 9, 3, 2, 8, 1] after MAX-HEAPIFY for the parent 1 [16, 14, 10, 8, 7, 9, 3, 2, 4, 11 after MAX-HEAPIFY for the parent 4 Suppose A = 15. 1. 9. 6. 2. 3. 8. 7. 41.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Given an array out of order, BUILD-MAX-HEAP() turns it to a max-heap by repeating MAX-HEAPIFY from the last parent down to the first parent, root.
For example, A = [4,1,3,2,16,9,10,14,8,7] and BUILD-MAX-HEAP(A) will make change per iteration as below.
[4, 1, 3, 2, 16, 9, 10, 14, 8, 7] after MAX-HEAPIFY for the parent 16
[4, 1, 3, 14, 16, 9, 10, 2, 8, 7] after MAX-HEAPIFY for the parent 2
[4, 1, 10, 14, 16, 9, 3, 2, 8, 7] after MAX-HEAPIFY for the parent 3
[4, 16, 10, 14, 7, 9, 3, 2, 8, 1] after MAX-HEAPIFY for the parent 1
[16, 14, 10, 8, 7, 9, 3, 2, 4, 1] after MAX-HEAPIFY for the parent 4
Suppose A = [5, 1, 9, 6, 2, 3, 8, 7, 4].
Show how A will change for each MAX-HEAPIFY.
Transcribed Image Text:Given an array out of order, BUILD-MAX-HEAP() turns it to a max-heap by repeating MAX-HEAPIFY from the last parent down to the first parent, root. For example, A = [4,1,3,2,16,9,10,14,8,7] and BUILD-MAX-HEAP(A) will make change per iteration as below. [4, 1, 3, 2, 16, 9, 10, 14, 8, 7] after MAX-HEAPIFY for the parent 16 [4, 1, 3, 14, 16, 9, 10, 2, 8, 7] after MAX-HEAPIFY for the parent 2 [4, 1, 10, 14, 16, 9, 3, 2, 8, 7] after MAX-HEAPIFY for the parent 3 [4, 16, 10, 14, 7, 9, 3, 2, 8, 1] after MAX-HEAPIFY for the parent 1 [16, 14, 10, 8, 7, 9, 3, 2, 4, 1] after MAX-HEAPIFY for the parent 4 Suppose A = [5, 1, 9, 6, 2, 3, 8, 7, 4]. Show how A will change for each MAX-HEAPIFY.
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