Question: Recall the algorithm for binary search which finds the index in a sorted array of integers A for some item z (we assume z

Recall the algorithm for binary search which finds the index in a sorted array of integers A for some item z

Recall the algorithm for binary search which finds the index in a sorted array of integers A for some item z (we assume z exists in A). def binarysearch (x, A, 1-0, r-A. length-1): while True: m= (1+r)/2; if x= A[m]: return m if x < A[m]: else: r = m-1 Algorithm 2: Binary Search 1 = m+1 Give the loop invariant for binary search's proof of correctness.

Step by Step Solution

★★★★★

3.45 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The loop invariant for the binary search algorithm is At the beginning of each iteration the subarra... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Algorithms Questions!

The plant is not operating at full capacity. Presently, the volume of production is 248,769 units. The fixed overhead cost is P189,535 under the present operating conditions. The costs per unit are...

A compare-exchange operation on two array elements A[i] and A[j], where i < j, has the form COMPARE-EXCHANGE (A, i, j) 1 If A[i] > A[j] 2 exchange A[i] with A[j] After the compare-exchange operation,...

Throughout this book, we assume that parameter passing during procedure calls takes constant time, even if an N-element array is being passed. This assumption is valid in most systems because a...

Create 2 pieces of content for each business following: (EP digital marketing company and Mirage Dental company and Sunset Insurance company) and create any kind of content based on the recommended...

COSC-2425 Programming Project 4 One of the very practical uses of assembly language programming is its ability to optimize the speed and size of computer programs. While programmers do not typically...

7. Write a divide-and-conquer algorithm to find the number of rotations in a circularly sorted array of integers. Assume that there will never be duplicates in the array and that all rotations are...

Write a recursive implementation of the binary search algorithm (chapter 24.2 in the zyBook) which handles sorted arrays of integers that can contain duplicates. Because duplicate integers may be...

Write a recursive implementation of the binary search algorithm (chapter 24.2 in the zyBook) which handles sorted arrays of integers that can contain duplicates . Because duplicate integers may be...

PROGRAM SHOULD BE IN C++ and use this searching and sourcecode to do this program // Lesson #11: Searching and Sorting // // Purpose: Code for searching and sorting arrays // // //#include "stdafx.h...

The purpose of this program is to search for a number using the linear and binary search algorithms and report back how many comparisons were done to find a number using both techniques in a sorted...

Define general controls.

Comment on the practice of kissing pets on the face or allowing them to lick or kiss ones face. What are some possible consequences of this?

Consider Loreen, who works as a psych tech in the psychiatric ward of a large hospital. People with this lob title work hands - on with people who are suffering with severe psychiatric problems....

Financial results and conditions vary among companies for a number of reasons. One reason for the variation can be traced to the characteristics of the industries in which companies operate. For...

Evaluate the following limit. 3t lim 4e i- 5j+4 tan 'tk t+5 3t lim 4e i-+ 4 tan 'tk =| (Type an exact answer, using t as needed.)

When should firms discount new projects at the cost of debt, cost of equity or cost of capital? (2marks)

Determine the moment of inertia of the beam?s cross-sectional area about the y axis which passes through the centroid C. 60 60 Fiti-

Determine the moment of inertia of the area about the xaxis. 1 m 1m

The three parallel bolting forces act on the circular plate. If the force at A has a magnitude of FA = 200 lb, determine the magnitudes of FB and FC so that the resultant force FR of the system has a...

Princess Cruises recently offered a 16-day voyage from Beijing to Bangkok during the time period from May to August. The announced price, excluding airfare, for a room with an ocean view or a balcony...

The Anasazi Real Estate Company has 20 listings for homes in Santa Fe, New Mexico. The number of days each house has been on the market without selling is as follows: 26 45 16 77 33 50 19 23 55 107...

An investment advisor has worked with 24 clients for the past five years. Following are the percentage rates of average five-year returns that these 24 clients experienced over this time frame on...