Consider the following list: int list [] (14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95) !! When performing a binary search, the target is first compared with
Consider the following list: int list [] (14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95) !! When performing a binary search, the target is first compared with
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
Related questions
Question
![Consider the following list:
`int list[] = {14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95}`
When performing a binary search, the target is first compared with ____.
- ○ 62
- ○ 95
- ○ 14
- ○ 34
**Explanation for Educational Context:**
Binary search is an efficient algorithm for finding an item from a sorted list of items. It works by repeatedly dividing the portion of the list that could contain the item in half until you've narrowed down the possible locations to just one.
**Key Concept:**
For a binary search to function correctly, the list must be sorted in ascending or descending order. The algorithm compares the target value to the middle element of the list. If the target matches the middle element, it returns the index of the middle. Otherwise, if the target is less than the middle element, the search continues in the lower half, or if greater, in the upper half, continuing recursively or iteratively until the target is found or the subarray size becomes zero.
In this example, the initial middle element of the list `int list[] = {14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95}` is `62`. Therefore, the target is first compared with `62`.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe729a476-2c21-47cf-8145-b09785d3a477%2F9eb6ac1c-f5a3-4f15-a394-a75ab1bd9c97%2Fpa9e1xf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following list:
`int list[] = {14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95}`
When performing a binary search, the target is first compared with ____.
- ○ 62
- ○ 95
- ○ 14
- ○ 34
**Explanation for Educational Context:**
Binary search is an efficient algorithm for finding an item from a sorted list of items. It works by repeatedly dividing the portion of the list that could contain the item in half until you've narrowed down the possible locations to just one.
**Key Concept:**
For a binary search to function correctly, the list must be sorted in ascending or descending order. The algorithm compares the target value to the middle element of the list. If the target matches the middle element, it returns the index of the middle. Otherwise, if the target is less than the middle element, the search continues in the lower half, or if greater, in the upper half, continuing recursively or iteratively until the target is found or the subarray size becomes zero.
In this example, the initial middle element of the list `int list[] = {14, 18, 19, 25, 34, 39, 62, 65, 78, 79, 85, 89, 95}` is `62`. Therefore, the target is first compared with `62`.
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