MyProgrammingLab - For Gaddis: Starting Out with C++ From Control Structures through Objects
15th Edition
ISBN: 9780133780611
Author: Pearson
Publisher: PEARSON
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Expert Solution & Answer
Chapter 8, Problem 18RQE
Explanation of Solution
Linear search:
- Linear search or sequential search is the process of searching for a particular element that is present in the array one by one till the last element in the search element is found.
- The search uses a loop that iterates from the beginning till the last element to find the search element.
- The search continues for all the elements present in the array until the last element.
- The search of the target element is made after comparing it with each and every element that is present in the array.
- The search process continues until the target value or search value is found.
- If the search element is not found, the search gets returned unsuccessfully.
Number of comparison in linear search:
To search the target element that is present in the array, the search element is compared with the number of elements present in the array. Even if the array contains 500 elements, the search process continues 500 times if the search element is present at the end of the array.
Maximum number of comparison = N
Average number of the comparison = N / 2
Binary search:
- Binary search is a smart search process that searches for the particular element that is present in the array from the middle towards the left or right until the search element is found.
- The search element is searched from the middle as the elements present in the array need to be present in the sorted order.
- If the search element is larger, it will search towards the right of the array.
- If the search element is smaller, it will search towards the left of the array.
- The search continues in a narrow way such that it searches for a quarter of the array until there are no values left in the array to search or compare.
- The search of the target element is made in a smart way it eliminates a portion of an array based on the given element, as the array is sorted...
Expert Solution & Answer
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Chapter 8 Solutions
MyProgrammingLab - For Gaddis: Starting Out with C++ From Control Structures through Objects
Ch. 8.2 - Prob. 8.1CPCh. 8.2 - Prob. 8.2CPCh. 8.2 - Prob. 8.3CPCh. 8.2 - Prob. 8.4CPCh. 8 - Prob. 1RQECh. 8 - If a linear search function is searching for a...Ch. 8 - Prob. 3RQECh. 8 - A binary search function is searching for a value...Ch. 8 - What is the maximum number of comparisons that a...Ch. 8 - Prob. 6RQE
Ch. 8 - Why is the selection sort more efficient than the...Ch. 8 - Prob. 8RQECh. 8 - The __________ search algorithm repeatedly divides...Ch. 8 - Prob. 10RQECh. 8 - The ____________ search algorithm requires that...Ch. 8 - If an array is sorted in ______________ order, the...Ch. 8 - If an array is sorted in _____________ order, the...Ch. 8 - Prob. 14RQECh. 8 - Prob. 15RQECh. 8 - Prob. 16RQECh. 8 - T F The maximum number of comparisons performed by...Ch. 8 - Prob. 18RQECh. 8 - Charge Account Validation Write a program that...Ch. 8 - Lottery Winners A lottery ticket buyer purchases...Ch. 8 - Lottery Winners Modification Modify the program...Ch. 8 - Charge Account Validation Modification Modify the...Ch. 8 - Rainfall Statistics Modification Modify the...Ch. 8 - String Selection Sort Modify the selectionSort...Ch. 8 - Binary String Search Modify the binarySearch...Ch. 8 - Search Benchmarks Write a program that has an...Ch. 8 - Sorting Benchmarks Write a program that uses two...Ch. 8 - Sorting Orders Write a program that uses two...Ch. 8 - Using FilesString Selection Sort Modification...
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Similar questions
- When compared to linear search, why is binary search so much less time-consuming? Please explain your actions.arrow_forwardHow should sequential and binary search methods be used?arrow_forwardWhile the sequential search algorithm and the binary search algorithm both have their uses, it is unclear whether it is best to use one over the other.arrow_forward
- Complete a Selection sort on the following values: 2, 22, 12, 21, 3, 1 Each row is one full "pass"/"iteration" through the data:arrow_forwardWhen is it most appropriate to do a binary search?arrow_forwardSelection sort Insertion sort Shell sort Quicksort Merge sort Radix sort Can someone explain how these sorts work using arrays?arrow_forward
- True or False For each statement below, indicate whether you think it is True or False. If you use binary search on a sorted array, the performance at worst is O(log n) For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value Binary search can be used on an unsorted array Inserting elements into a sorted array is O(n) because you have to find the location to add the new element and then shift the remaining elements If the sorted array gets too large, the performance of binary search becomes O(n) For the delete algorithm, after you find the element to delete, you can make the algorithm run faster by replacing it with the last element in the array If you used binary search to…arrow_forwardTrue or False For each statement below, indicate whether you think it is True or False. For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value Binary search can be used on an unsorted arrayarrow_forwardWhat are the binary search algorithm's sole requirements?arrow_forward
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