use figure 6.5 to answer the question 6.5-1Illustrate the operation of HEAP-EXTRACT-MAX on the heap A = (15, 13, 9, 5,12, 8, 7, 4, 0, 6, 2, 1). 8151414161610103314151415716(b)16(d)10103Figure 6.5 The operation of HEAP-INCREASE-KEY. (a) The max-heap of Figure 6.4(a) with anode whose index is i heavily shaded. (b) This node has its key increased to 15. (c) After oneiteration of the while loop of lines 4-6, the node and its parent have exchanged keys, and the index imoves 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.

In Heap-Extract-Max operation we remove the maximum element that is present in a heap Scene the…

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Computer Science

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

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Concept explainers

Heap Sort

A Heap is a type of data structure that is built on trees. It's a binary tree that's virtually complete. Except for the very bottom level, all levels of the tree must be filled in a heap. The last (bottom) level should be filled from left to right. The heap data structure is used for the efficient implementation of priority queues.Heap can be of two types:

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).

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.

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