Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
if something like remove the number 24 is called on this non self balancing binary search tree, what value is going to be inside the root after the remove operation is done, the options are 30,14,18,11,21,20

if something like remove the number 24 is called on this non self balancing binary search tree, what value is going to be inside the root after the remove operation is done, the options are 30,14,18,11,21,20

Database System Concepts
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
See similar textbooks
icon
Related questions
Question
100%

if something like remove the number 24 is called on this non self balancing binary search tree, what value is going to be inside the root after the remove operation is done, the options are 30,14,18,11,21,20

This diagram depicts a binary search tree (BST), a data structure used in computer science to maintain a dynamic set of items. A BST allows for efficient searching, insertion, and deletion operations. ### Diagram Details: - **Root Node**: - The topmost node is `24`, representing the root of the tree. - **Left Subtree**: - From `24`, a line branches to `18`, which is the root of the left subtree. - `18` further branches to `11` on the left and `21` on the right. - `21` has a left child, `14`, and a right child, `20`. - **Right Subtree**: - From `24`, a line branches to `30`, representing the right child. ### Characteristics of the Binary Search Tree: - **Left Child Values**: Any node's left child contains a value less than the node. - **Right Child Values**: Any node's right child contains a value greater than the node. ### Structural Explanation: - **Node `24`**: The root of the tree. - **Node `18`**: Left child of `24`, with children `11` and `21`. - **Node `30`**: Right child of `24`, with no children. - **Node `11`**: Left child of `18`, with no children. - **Node `21`**: Right child of `18`, with children `14` and `20`. - **Node `14`**: Left child of `21`, with no children. - **Node `20`**: Right child of `21`, with no children. This binary search tree effectively allows operations like search, insert, and delete with time complexity proportional to the height of the tree. The structure ensures any operations are logarithmic on average if the tree is balanced.
Transcribed Image Text:This diagram depicts a binary search tree (BST), a data structure used in computer science to maintain a dynamic set of items. A BST allows for efficient searching, insertion, and deletion operations. ### Diagram Details: - **Root Node**: - The topmost node is `24`, representing the root of the tree. - **Left Subtree**: - From `24`, a line branches to `18`, which is the root of the left subtree. - `18` further branches to `11` on the left and `21` on the right. - `21` has a left child, `14`, and a right child, `20`. - **Right Subtree**: - From `24`, a line branches to `30`, representing the right child. ### Characteristics of the Binary Search Tree: - **Left Child Values**: Any node's left child contains a value less than the node. - **Right Child Values**: Any node's right child contains a value greater than the node. ### Structural Explanation: - **Node `24`**: The root of the tree. - **Node `18`**: Left child of `24`, with children `11` and `21`. - **Node `30`**: Right child of `24`, with no children. - **Node `11`**: Left child of `18`, with no children. - **Node `21`**: Right child of `18`, with children `14` and `20`. - **Node `14`**: Left child of `21`, with no children. - **Node `20`**: Right child of `21`, with no children. This binary search tree effectively allows operations like search, insert, and delete with time complexity proportional to the height of the tree. The structure ensures any operations are logarithmic on average if the tree is balanced.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Types of trees
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.
Similar questions
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
SEE MORE TEXTBOOKS