Computer Science: An Overview (12th Edition)
12th Edition
ISBN: 9780133760064
Author: Glenn Brookshear, Dennis Brylow
Publisher: PEARSON
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Chapter 5.6, Problem 1QE
Program Plan Intro
Insertion sort
The
Generally, the insertion sort technique divides the list into two parts sorted or unsorted list. In the sorted list, the method assumes that one element of the list is already sorted and then it performs the operation on the unsorted list by inserting elements in its appropriate position in the sorted list.
The inversion of insertion sort in best case is
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Chapter 5 Solutions
Computer Science: An Overview (12th Edition)
Ch. 5.1 - Prob. 1QECh. 5.1 - Prob. 2QECh. 5.1 - Prob. 3QECh. 5.1 - Suppose the insertion sort as presented in Figure...Ch. 5.2 - A primitive in one context might turn out to be a...Ch. 5.2 - Prob. 2QECh. 5.2 - The Euclidean algorithm finds the greatest common...Ch. 5.2 - Describe a collection of primitives that are used...Ch. 5.3 - Prob. 2QECh. 5.3 - Prob. 3QE
Ch. 5.3 - Prob. 4QECh. 5.4 - Modify the sequential search function in Figure...Ch. 5.4 - Prob. 2QECh. 5.4 - Some of the popular programming languages today...Ch. 5.4 - Suppose the insertion sort as presented in Figure...Ch. 5.4 - Prob. 5QECh. 5.4 - Prob. 6QECh. 5.4 - Prob. 7QECh. 5.5 - What names are interrogated by the binary search...Ch. 5.5 - Prob. 2QECh. 5.5 - What sequence of numbers would be printed by the...Ch. 5.5 - What is the termination condition in the recursive...Ch. 5.6 - Prob. 1QECh. 5.6 - Give an example of an algorithm in each of the...Ch. 5.6 - List the classes (n2), (log2n), (n), and (n3) in...Ch. 5.6 - Prob. 4QECh. 5.6 - Prob. 5QECh. 5.6 - Prob. 6QECh. 5.6 - Prob. 7QECh. 5.6 - Suppose that both a program and the hardware that...Ch. 5 - Prob. 1CRPCh. 5 - Prob. 2CRPCh. 5 - Prob. 3CRPCh. 5 - Select a subject with which you are familiar and...Ch. 5 - Does the following program represent an algorithm...Ch. 5 - Prob. 6CRPCh. 5 - Prob. 7CRPCh. 5 - Prob. 8CRPCh. 5 - What must be done to translate a posttest loop...Ch. 5 - Design an algorithm that when given an arrangement...Ch. 5 - Prob. 11CRPCh. 5 - Design an algorithm for determining the day of the...Ch. 5 - What is the difference between a formal...Ch. 5 - Prob. 14CRPCh. 5 - Prob. 15CRPCh. 5 - The following is a multiplication problem in...Ch. 5 - Prob. 17CRPCh. 5 - Four prospectors with only one lantern must walk...Ch. 5 - Starting with a large wine glass and a small wine...Ch. 5 - Two bees, named Romeo and Juliet, live in...Ch. 5 - What letters are interrogated by the binary search...Ch. 5 - The following algorithm is designed to print the...Ch. 5 - What sequence of numbers is printed by the...Ch. 5 - Prob. 24CRPCh. 5 - What letters are interrogated by the binary search...Ch. 5 - Prob. 26CRPCh. 5 - Identity the termination condition in each of the...Ch. 5 - Identity the body of the following loop structure...Ch. 5 - Prob. 29CRPCh. 5 - Design a recursive version of the Euclidean...Ch. 5 - Prob. 31CRPCh. 5 - Identify the important constituents of the control...Ch. 5 - Identify the termination condition in the...Ch. 5 - Call the function MysteryPrint (defined below)...Ch. 5 - Prob. 35CRPCh. 5 - Prob. 36CRPCh. 5 - Prob. 37CRPCh. 5 - The factorial of 0 is defined to be 1. The...Ch. 5 - a. Suppose you must sort a list of five names, and...Ch. 5 - The puzzle called the Towers of Hanoi consists of...Ch. 5 - Prob. 41CRPCh. 5 - Develop two algorithms, one based on a loop...Ch. 5 - Design an algorithm to find the square root of a...Ch. 5 - Prob. 44CRPCh. 5 - Prob. 45CRPCh. 5 - Design an algorithm that, given a list of five or...Ch. 5 - Prob. 47CRPCh. 5 - Prob. 48CRPCh. 5 - Prob. 49CRPCh. 5 - Prob. 50CRPCh. 5 - Prob. 51CRPCh. 5 - Does the loop in the following routine terminate?...Ch. 5 - Prob. 53CRPCh. 5 - Prob. 54CRPCh. 5 - The following program segment is designed to find...Ch. 5 - a. Identity the preconditions for the sequential...Ch. 5 - Prob. 57CRPCh. 5 - Prob. 1SICh. 5 - Prob. 2SICh. 5 - Prob. 3SICh. 5 - Prob. 4SICh. 5 - Prob. 5SICh. 5 - Is it ethical to design an algorithm for...Ch. 5 - Prob. 7SICh. 5 - Prob. 8SI
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- A binary search only works if the values in the list are sorted. A bubble sort is a simple way to sort entries. The basic idea is to compare two adjacent entries in a list-call them entry[j] and entry[j+1]. If entry[j] is larger, then swap the entries. If this is repeated until the last two entries are compared, the largest element in the list will now be last. The smallest entry will ultimately get swapped, or "bubbled" up to the top. The algorithm could be described in C as: last = num; while (last > 0) { pairs = last – 1: for (j = 0; j entry (j+1] { temp = entry[il: entryli] = entrylj+1]; entrylj+1] = temp; last = i: } } Here, num is the number of entries in the list. Write an assembly language program to implement a bubble sort algorithm, and test it using a list of 8 elements. Each element should be a halfword in length. Please show your code works with the Keil tools or VisUAL, by grabbing a screen shot with your name somewhere on the screen.arrow_forwardBinary search is significantly faster than the built-in search but requiresthat the list is sorted. As you know, the running time for the best sortingalgorithm is on the order of N log2 N, where N is the length of the list. Ifwe search a lot of times on the same list of data, it makes sense to sortit once before doing the searching. Roughly how many times do we needto search in order to make sorting and then searching faster than usingthe built-in search?arrow_forwardYou are given a two-dimensional array A with n rows and n columns such that every element is either 1 or 0, and for every row, the 1s are placed ahead of 0s. Find the quickest algorithm to find a row with the most significant number of 1s. Analyze the time complexity of your algorithm.arrow_forward
- Answer the following question for basic sorting algorithms. Here is an array of 7 integers: (1) 8 3 2 0 1 9 7 Draw this array after the FIRST iteration of the large loop in a selection sort (sorting from smallest to largest, and always pick the smallest element in each iteration). Here is an array of 7 integers: (1) 8 3 2 0 1 9 7 Draw this array after the FIRST iteration of the large loop in a bubble sort (sorting from smallest to largest).arrow_forwardYou are given two different methods for sorting the values in an array: Sort1 and Sort2. You have determined that Sort1 = O(nlog n) and Sort2 = O(n2). You need to choose one of these two sorting methods to sort lists in a program you are writing, but you would like to choose the one which completes the fastest. Given this information, is either of these two methods guaranteed to be complete faster than the other? If so, explain which one is faster and why. If not, explain why not.arrow_forwardA school uses the array to call an attendance register every morning. Write an algorithm using iteration to: display the name of each student one at a time from studentnames take as input whether that student is present or absent display the total number of present students and number of absent students in a suitable message , after all student names have been displayed .arrow_forward
- Write a program that sorts an array of random or sorted numbers using Radix sort algorithms, fill the array with random numbers between 1 and 999, and Run the program three times, once with an array of 100 items, once with an array of 500 items, and once with an array of 1000 items. For the first execution-only (100 elements), Print the unsorted data followed by the sort data 10x10 matrixes (10 rows of 10 numbers each). Print the number of comparisons and the number of moves required to order the data. Use c++arrow_forwardWhat is the time complexity of the given algorithm below? An algorithm, M, for sorting a given array, A, operates as follows M = "On input A, where A is an array of integers: 1. Place a mark on the first item in the array 2. Repeat Step 3 and 4 until no additional nodes are marked: 3. Scan the left-hand side of the recently marked item. If an item bigger than the marked item is found, move the marked item to the left side of the bigger item. 4. Scan the right-hand side of the marked item until an unmarked item found. Mark the item. 5. Return the array containing marked items only. Lütfen birini seçin: O A. O(n log n) O B. O(n³) O C. (n² log n) O D. O(n²)arrow_forwardI need to write an algorithm pseudocode that sorts a list of n elements in non-increasing order by finding the largest and smallest elements and exchanging those elements with the elements in the first and last positions. Then the size of the list is reduced by 2, excluding the two elements that are already in the proper positions, and the process is repeated on the remaining part of the list until the entire list is sorted. I also need to analyze the algorithm and show the results using order notation. I was trying to use arguments but I got stuck.arrow_forward
- Given an unsorted array of integers, A, its size n, and two numbers x and y both elements of A,write an algorithm that returns the distance between x and y. The distance between two numbersof an array is the number of elements that lie between them in the sorted order. Achieve theasymptotically fastest time for this problem.arrow_forwardMake a programme that compares the four advanced sorting algorithms covered in this chapter. Create a 1,000-element randomly generated array for the tests. What is the algorithm's ranking? What happens when the array size is increased to 10,000, then 100,000 elements?arrow_forwardLet A and B be two arrays of length n, each containing a random permutation of the numbers from 1 to n. An inversion between the two permutations A and B is a pair of values (x, y) where the index of x is less than the index of y in array A, but the index of x is more than the index of y in array B. Design an algorithm which counts the total number of inversions between A and B that runs in O(n log n) time.arrow_forward
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