Use java and use proper code indentation. Exercise 2 (Binary Search)Assume a binary search is performed on the following array of integers:{1, 14, 15, 24, 55, 59, 73, 90, 94, 99}Trace through each iteration of the algorithm, writing the number that will be the middleelement and the left and right bounds (indexes), when searching for the number 73.Explanation of the Binary Search ConceptBinary Search is an algorithm for finding a target element in a sorted linear collection. Itassumes that there exists a comparison relation between all elements in the collection thatallows for a total ordering of the elements. For example, integers can be compared by the lessthan (<) operator. For Strings, we can order them lexicographically and compare using thecompareTo method. The key assumption is that the linear collection is already sorted beforebinary search is applied.The binary search algorithm is naturally defined recursively as follows:if collection is empty, return -1 to indicate target is not foundCheck if middle element is the targetif yes, then return its indexelsé:if middle element is < target,then return outcome of binary search on the elements to the right of the middleelse return outcome of binary search on the elements to the left of the middle

The recursive version of binary search algorithm makes it difficult and hard to understand as to how…

Exercise 2 (Binary Search) Assume a binary search is performed on the following array of integers: {1, 14, 15, 24, 55, 59, 73, 90, 94, 99} Trace through each iteration of the algorithm, writing the number that will be the middle element and the left and right bounds (indexes), when searching for the number 73.

Exercise 2 (Binary Search) Assume a binary search is performed on the following array of integers: {1, 14, 15, 24, 55, 59, 73, 90, 94, 99} Trace through each iteration of the algorithm, writing the number that will be the middle element and the left and right bounds (indexes), when searching for the number 73.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 15PE

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Algorithms Assignment Quicksort is a divide and conquer algorithm that re-order the elements over the same input array (to be distinguished from the quicksort version that implements out-place re-ordering). There are two basic operations in the algorithm, swapping items in place and partitioning a section of the array. In light of this, write a report about the quicksort algorithm, which includes the following: • Discuss sorting as a problem and the algorithms used for sorting (briefly discuss merge-sort, insertion sort, etc.). • Discuss and explain the quicksort algorithm (Step, Pseudo-code). • Implement the algorithm using Java/Python and add comments to the code. Show the output of the algorithm (screenshots). • Analyze the best, worst and average case. Provide and analyze example inputs for the best, worst and average cases (use the implementation). Some good references: https://www.geeksforgeeks.org/quick-sort/ https://en.wikipedia.org/wiki/Quicksort
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