**Consider the following list:**`int list[] = {14, 18, 29, 35, 44, 49, 55, 58, 66, 71, 75, 80, 89, 95, 98}`When performing a binary search for 75, after the first comparison, the search is restricted to ____.- ⭕ list[8]...list[14]- ⭕ list[5]...list[11]- ⭕ list[0]...list[7]- ⭕ list[0]...list[6]---**Explanation of the Binary Search Process:**Binary search is an efficient algorithm for finding a target value within a sorted array. It works by repeatedly dividing the portion of the array in which the target value could reside in half until the target value is found or the search space is exhausted.**Steps in this Case:**1. **Initial Array:** The given list is: {14, 18, 29, 35, 44, 49, 55, 58, 66, 71, 75, 80, 89, 95, 98}2. **Find the Middle Element:** The middle index of a list of 15 elements is `7` (using zero-based index), and the middle value is `58`.3. **Comparison with Target (75):** Since 75 is greater than 58, the search is restricted to the right half of the list.4. **Restricted Search Space:** Now the search will proceed on the subarray: {66, 71, 75, 80, 89, 95, 98}.Therefore, after the first comparison, the search is restricted to list[8]...list[14].

In binary search, the value of mid element is compared with search element and then we decide…

Answered: Consider the following list: int list…

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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Consider the following list: int list [] {14, 18, 29, 35, 44, 49, 55, 58, 66, 71, 75, 80, 89, 95, 98) When performing a binary search for 75, after the first comparison, the search is restricted to