6.3-1 Using Figure 6.3 as a model, illustrate the operation of BUILD-MAX-HEAP on the array A = (5,3, 17, 10, 84, 19, 6, 22,9).
6.3-1 Using Figure 6.3 as a model, illustrate the operation of BUILD-MAX-HEAP on the array A = (5,3, 17, 10, 84, 19, 6, 22,9).
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
Problem 1PE
Related questions
Question
use figure 6.3 to answer the question
![A413 2 16 9 10 14 8 7
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8
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Figure 6.3 The operation of BUILD-MAX-HEAP, showing the data structure before the call to
MAX-HEAPIFY in line 3 of BUILD-MAX-HEAP. (a) A 10-element input array A and the bi-
nary tree it represents. The figure shows that the loop index i refers to node 5 before the call
MAX-HEAPIFY (4,i). (b) The data structure that results. The loop index i for the next iteration
refers to node 4. (c)-(e) Subsequent iterations of the for loop in BUILD-MAX-HEAP. Observe that
whenever MAX-HEAPIFY is called on a node, the two subtrees of that node are both max-heaps.
(f) The max-heap after BUILD-MAX-HEAP finishes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032de2f6-d35c-4a3a-a9a2-daefbabd8c32%2Fd3a09e80-9176-45f0-9089-e411830ea8cc%2Fgh7r2i5_processed.png&w=3840&q=75)
Transcribed Image Text:A413 2 16 9 10 14 8 7
14
8
2
14
14
8
9
8
8
9
2 8
2
16
i(16
10
10,
10
16
(a)
1
6
10
10
10
8
14
8
8
8
Ø
o
14
10
10
10,
16
5
16
(b)
(d)
16
6
6
9
10
10
10
Figure 6.3 The operation of BUILD-MAX-HEAP, showing the data structure before the call to
MAX-HEAPIFY in line 3 of BUILD-MAX-HEAP. (a) A 10-element input array A and the bi-
nary tree it represents. The figure shows that the loop index i refers to node 5 before the call
MAX-HEAPIFY (4,i). (b) The data structure that results. The loop index i for the next iteration
refers to node 4. (c)-(e) Subsequent iterations of the for loop in BUILD-MAX-HEAP. Observe that
whenever MAX-HEAPIFY is called on a node, the two subtrees of that node are both max-heaps.
(f) The max-heap after BUILD-MAX-HEAP finishes.
![6.3-1
Using Figure 6.3 as a model, illustrate the operation of BUILD-MAX-HEAP on the
array A = (5, 3, 17, 10, 84, 19, 6, 22, 9).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032de2f6-d35c-4a3a-a9a2-daefbabd8c32%2Fd3a09e80-9176-45f0-9089-e411830ea8cc%2Fhf52ekf_processed.png&w=3840&q=75)
Transcribed Image Text:6.3-1
Using Figure 6.3 as a model, illustrate the operation of BUILD-MAX-HEAP on the
array A = (5, 3, 17, 10, 84, 19, 6, 22, 9).
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