a) List the balance factor for each Node in the BST. b) is the BST balanced or not? Why ? 10 4 14 3 5 13 15
a) List the balance factor for each Node in the BST. b) is the BST balanced or not? Why ? 10 4 14 3 5 13 15
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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Transcribed Image Text:a) List the balance factor for each Node in the BST.
b) is the BST balanced or not? Why ?
10
4
14
3
5
13
15
Expert Solution

Step 1
A difference of left sub-tree height and right sub-tree is called balance factor. i.e.
Balance Factor = height of left-child - height of right-child.
The balance factor of leaf node is always 0.
Node | Balance Factor |
3 | 0 (leaf node) |
5 | 0 (leaf node) |
13 | 0 (leaf node) |
15 | 0 (leaf node) |
4 | 1-1=0 |
14 | 1-1=0 |
10 | 2-2=0 |
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