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
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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.
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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