6.5-1 Illustrate the operation of HEAP-EXTRACT-MAX on the heap A = (15, 13, 9, 5, 12, 8, 7, 4, 0, 6, 2, 1).

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
icon
Related questions
Question

use figure 6.5 to answer the question

6.5-1
Illustrate the operation of HEAP-EXTRACT-MAX on the heap A = (15, 13, 9, 5,
12, 8, 7, 4, 0, 6, 2, 1).
Transcribed Image Text:6.5-1 Illustrate the operation of HEAP-EXTRACT-MAX on the heap A = (15, 13, 9, 5, 12, 8, 7, 4, 0, 6, 2, 1).
8
15
14
14
16
16
10
10
3
3
14
15
14
15
7
16
(b)
16
(d)
10
10
3
Figure 6.5 The operation of HEAP-INCREASE-KEY. (a) The max-heap of Figure 6.4(a) with a
node whose index is i heavily shaded. (b) This node has its key increased to 15. (c) After one
iteration of the while loop of lines 4-6, the node and its parent have exchanged keys, and the index i
moves up to the parent. (d) The max-heap after one more iteration of the while loop. At this point,
A[PARENT(i)] ≥ A[i]. The max-heap property now holds and the procedure terminates.
Transcribed Image Text:8 15 14 14 16 16 10 10 3 3 14 15 14 15 7 16 (b) 16 (d) 10 10 3 Figure 6.5 The operation of HEAP-INCREASE-KEY. (a) The max-heap of Figure 6.4(a) with a node whose index is i heavily shaded. (b) This node has its key increased to 15. (c) After one iteration of the while loop of lines 4-6, the node and its parent have exchanged keys, and the index i moves up to the parent. (d) The max-heap after one more iteration of the while loop. At this point, A[PARENT(i)] ≥ A[i]. The max-heap property now holds and the procedure terminates.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Heapsort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education