Starting Out with C++: Early Objects (9th Edition)
9th Edition
ISBN: 9780134400242
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: PEARSON
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Chapter 9.2, Problem 9.2CP
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The average number of comparison for the array with 1,000 elements is “500”.
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Suppose you wanted to use a linear search on a sorted data set. What would be the average number of comparisons to find a given element? Why?
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What input leads to the worst-case time complexity for the following search/sorts? Why?
- Binary search- Mergesort- Quicksort (when the first element is chosen the pivot)
Chapter 9 Solutions
Starting Out with C++: Early Objects (9th Edition)
Ch. 9.2 - Prob. 9.1CPCh. 9.2 - Prob. 9.2CPCh. 9.2 - Prob. 9.3CPCh. 9.2 - Prob. 9.4CPCh. 9.3 - True or false: Any sort can be modified to sort in...Ch. 9.3 - Prob. 9.6CPCh. 9.3 - Prob. 9.7CPCh. 9.3 - Prob. 9.8CPCh. 9.3 - Prob. 9.9CPCh. 9.6 - Prob. 9.10CP
Ch. 9.6 - Prob. 9.11CPCh. 9.6 - Prob. 9.12CPCh. 9.6 - Prob. 9.13CPCh. 9.6 - Prob. 9.14CPCh. 9.6 - Prob. 9.15CPCh. 9 - Prob. 1RQECh. 9 - Prob. 2RQECh. 9 - Prob. 3RQECh. 9 - Prob. 4RQECh. 9 - Prob. 5RQECh. 9 - Prob. 6RQECh. 9 - Prob. 7RQECh. 9 - A binary search will find the value it is looking...Ch. 9 - The maximum number of comparisons that a binary...Ch. 9 - Prob. 11RQECh. 9 - Prob. 12RQECh. 9 - Bubble sort places ______ number(s) in place on...Ch. 9 - Selection sort places ______ number(s) in place on...Ch. 9 - Prob. 15RQECh. 9 - Prob. 16RQECh. 9 - Why is selection sort more efficient than bubble...Ch. 9 - Prob. 18RQECh. 9 - Prob. 19RQECh. 9 - Prob. 20RQECh. 9 - Prob. 21RQECh. 9 - Charge Account Validation Write a program that...Ch. 9 - Lottery Winners A lottery ticket buyer purchases...Ch. 9 - Lottery Winners Modification Modify the program...Ch. 9 - Batting Averages Write a program that creates and...Ch. 9 - Hit the Slopes Write a program that can be used by...Ch. 9 - String Selection Sort Modify the selectionSort...Ch. 9 - Binary String Search Modify the binarySearch...Ch. 9 - Search Benchmarks Write a program that has at...Ch. 9 - Sorting Benchmarks Write a program that uses two...Ch. 9 - Sorting Orders Write a program that uses two...Ch. 9 - Ascending Circles Program 8-31 from Chapter 8...Ch. 9 - Modified Bin Manager Class Modify the BinManager...Ch. 9 - Using Files-Birthday List Write a program that...Ch. 9 - Prob. 14PCCh. 9 - Using Files-String Selection Sort Modification...Ch. 9 - Using Vectors String Selection Sort Modification...
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- Run mergesort for huge random arrays and determine empirically, as a function of N (the total of the two subarray sizes for a given merge), the average length of the other subarray when the first subarray exhausts.arrow_forwardRandomized quicksort compares individual pairs of elements but it does not necessarily compare every element to every other element. When the input is the array [2, 9, 5, 4, 6], what is the probability that randomized quicksort compares 2 and 4 directly to each other? Give an exact answer.arrow_forwardWhy does binary search take less time than linear search, and what variables lead to this reduction? It would be helpful if you explained your actions.arrow_forward
- By calculating the percentage of non-zero elements in the matrix and deducting it from 1, you may determine the sparsity of a sparse matrix with Python code. which identifies the manually derived sparsity.arrow_forwardWe apply the binary search on a 17-element ordered array. Assume that a givenkey appears in the array, and it is between the 5th element and the 13th element(inclusive). How many comparisons do we need for the average-case efficiency?arrow_forwardRun mergesort for large random arrays, and make an empirical determination of the average length of the other subarray when the first subarray exhausts, as a function of N (the sum of the two subarray sizes for a given merge).arrow_forward
- As an investor, I always check the stock market in order to find good companies to invest in. Recently, I found that the best companies to invest in, are the ones that have largest sum formed by a strictly increasing set of numbers (a set where the next element is always greater than the current element). But before I invest, I need to know the position of the first element of the consecutive increasing numbers. Help me so we can start investing already! Note: If it is already the last element of the row in the array, the next element is the first element of the next row, if there exists a next row. Input 1. Number of rows Description This is the number of rows of the multidimensional array. 2. Number of columns Description This is the number of columns of the multidimensional array. 3. Elements of the multidimensional array Output The first line will contain a message prompt to input the number of rows. The second line will contain a message prompt to input the…arrow_forwardIn which of the following cases, linked list implementation of sparse matrices consumes the same memory space as the conventional way of storing the entire array? A. 5x6 matrix with 9 non-zero entries B. 5x6 matrix with 10 non-zero entries C. Efficient in accesing an entry D. Efficient if the sparse matrix is a band matrixarrow_forwardSuppose you have a sorted array of n elements. Using a binary search algorithm, what is the worst-case time complexity to find a specific element in the array?arrow_forward
- Let A be a random permutation of [a,b,c,d,e,f,g,h]. Determine the probability that exactly 12 comparisons are required by Merge Sort to sort the input array A. Clearly and carefully justify your answer.arrow_forwardGiven the list below, how many iterations will it take the following values using linear search, modified linear search, and binary search? Note that the list is arranged in descending order. [93, 92, 83, 82, 73, 72, 63, 62, 53, 52, 43, 42, 33, 32, 23, 22, 13, 12, 3, 2] a. Search for 2 using linear search. b. Search for 2 using modified linear search. c. Search for 2 using binary search. d. Search for 29 using linear search. e. Search for 29 using modified linear search. f. Search for 29 using binary search.arrow_forwardShow that a binary search in an ordered array with N values only requires lg N 1 compares to complete the search (successful or unsuccessful).arrow_forward
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