Given list: (4, 11, 17, 18, 25, 45, 63, 77, 89, 114) How many list elements will be checked to find the value 77 using binary search? A
Given list: (4, 11, 17, 18, 25, 45, 63, 77, 89, 114) How many list elements will be checked to find the value 77 using binary search? A
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
![**Given list:** (4, 11, 17, 18, 25, 45, 63, 77, 89, 114)
**Question:** How many list elements will be checked to find the value 77 using binary search?
**Explanation:**
Binary search is an efficient algorithm for finding an item from a sorted list of items. It repeatedly divides the search interval in half. Here are the steps for finding the number 77 in the given list:
1. **Initial List:** (4, 11, 17, 18, 25, 45, 63, 77, 89, 114)
- Middle element: 45
- Since 77 > 45, consider the right half.
2. **New List:** (63, 77, 89, 114)
- Middle element: 89
- Since 77 < 89, consider the left half.
3. **New List:** (63, 77)
- Middle element: 77
- Found the element.
Thus, binary search will check 3 elements to find 77 in this list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8a2c134-fb3c-44c6-97f5-4efcb1457dc7%2F936e1563-9796-45ae-8256-c9a7a89516bb%2Ftpsu5y_processed.png&w=3840&q=75)
Transcribed Image Text:**Given list:** (4, 11, 17, 18, 25, 45, 63, 77, 89, 114)
**Question:** How many list elements will be checked to find the value 77 using binary search?
**Explanation:**
Binary search is an efficient algorithm for finding an item from a sorted list of items. It repeatedly divides the search interval in half. Here are the steps for finding the number 77 in the given list:
1. **Initial List:** (4, 11, 17, 18, 25, 45, 63, 77, 89, 114)
- Middle element: 45
- Since 77 > 45, consider the right half.
2. **New List:** (63, 77, 89, 114)
- Middle element: 89
- Since 77 < 89, consider the left half.
3. **New List:** (63, 77)
- Middle element: 77
- Found the element.
Thus, binary search will check 3 elements to find 77 in this list.
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