### Question 12**When a binary search tree is balanced, it provides _________ search, addition, and removal.**1. O(1)2. O(logN)3. O(N)---**Explanation:**The question is assessing knowledge related to the time complexity of search, insertion, and deletion operations in a balanced binary search tree (BST). - **Option O(1):** This implies constant time complexity, meaning the operation time does not increase as the size of the tree increases. This is not true for BST operations.- **Option O(logN):** This implies logarithmic time complexity, which is true for balanced binary search trees. In a balanced BST, the height of the tree is kept to O(logN), ensuring efficient search, addition, and removal operations.- **Option O(N):** This implies linear time complexity, meaning the operation time increases linearly with the size of the tree. This is true for an unbalanced binary search tree but not for a balanced one.Hence, the correct answer is:**O(logN)**

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Question 12 When a binary search tree is balanced, it provides O 0(1) O O(logN) O O(N) search, addition, and removal.

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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