The array representation of the heap is given below.
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
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Question
![For a given heap below:
[Diagram of a heap tree]
- The tree structure starts with the root node labeled 'Y'.
- 'Y' branches out to 'W' on the left and 'M' on the right.
- 'W' furthers branches to 'G', 'U', and 'K'.
- 'M' branches to 'K' and 'C'.
- Nodes 'A' and 'F' are further branches from 'G'.
- Nodes 'H' and 'P' are further branches from 'U'.
The array representation of the heap is given below:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | Y | W | M | G | U | K | C | A | F | H | P | |
a) Delete the root node, give the resulting heap:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | M | W | P | G | U | K | C | A | F | H | | |
b) Insert Q into the original heap, give the resulting heap:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | Y | W | Q | G | U | M | C | A | F | H | P | K | |
This exercise shows operations on a heap data structure, particularly focusing on deleting the root node and inserting a new node, while maintaining heap properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4735b9fe-1f62-4c1c-b375-80e5700bde0c%2Fe59e6ec6-b188-4458-a209-58e9211beb33%2Fjchwb9g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For a given heap below:
[Diagram of a heap tree]
- The tree structure starts with the root node labeled 'Y'.
- 'Y' branches out to 'W' on the left and 'M' on the right.
- 'W' furthers branches to 'G', 'U', and 'K'.
- 'M' branches to 'K' and 'C'.
- Nodes 'A' and 'F' are further branches from 'G'.
- Nodes 'H' and 'P' are further branches from 'U'.
The array representation of the heap is given below:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | Y | W | M | G | U | K | C | A | F | H | P | |
a) Delete the root node, give the resulting heap:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | M | W | P | G | U | K | C | A | F | H | | |
b) Insert Q into the original heap, give the resulting heap:
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|----|----|----|
| | Y | W | Q | G | U | M | C | A | F | H | P | K | |
This exercise shows operations on a heap data structure, particularly focusing on deleting the root node and inserting a new node, while maintaining heap properties.
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