Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 16.1, Problem 16.4CP
Explanation of Solution
Quick sort:
- This is sorting
algorithm in which it sorts the array by dividing the list into two sub lists. - After dividing the lists, choose the pivot element between the lists.
- After selecting the pivot element, the algorithm reorders the values in the array until all the elements in left sub list is lesser than the pivot.
- Next, it sorts all the elements in the right sub list which are greater than or equal to pivot.
- Then, this algorithm recursively repeat the steps on sub list 1 and sub list 2...
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Students have asked these similar questions
Quick Sort
We choose an element from the list, called the pivot. We'll use it to divide the list into two sub-lists.
We reorder all the elements around the pivot
The ones with smaller value are placed before it
All the elements greater than the pivot after it.
After this step, the pivot is in its final position. This is the important partition step.
We apply the above steps recursively to both sub-lists on the left and right of the pivot.
Quick Sort (Example)
Consider the following array Arr[] = {5, 9, 4, 6, 5, 3}
Let's suppose we pick 5 as the pivot for simplicity
We'll first put all elements less than 5 in the first position of the array: {3, 4, 5, 6, 5, 9}
We'll then repeat it for the left sub-array {3,4}, taking 3 as the pivot
There are no elements less than 3
We apply quicksort on the sub-array in the right of the pivot, i.e. {4}
This sub-array consists of only one sorted element
We continue with the right part of the original array, {6, 5, 9} until we get the final ordered…
Selection sort is a sorting algorithm, like Bubble sort which you saw in the previous module. Selection sort works as follows:
Selection sort divides the input list into two parts: a sublist of sorted items (left part) and a sublist of still unsorted items (right part). Initially, the sorted
sublist is empty and the whole input consists of the unsorted sublist. To fill the sorted sublist, the algorithm computes the (index of) the minimum of the
unsorted sublist and swaps the first unsorted element and the minimum element (if the minimum is already the first element, nothing happens).
Afterward, the sorted sublist is one bigger. This continues until the unsorted sublist is empty and the entire input is sorted.
Example:
Sorted sublist
Unsorted sublist
Least element in unsorted list
(11, 25, 12, 22, 64) 11
|(11)
(25, 12, 22, 64) 12
|(11, 12)
(25, 22, 64) 22
|(11, 12, 22)
(25, 64) 25
|(11, 12, 22, 25)
(64) 64
(11, 12, 22, 25, 64)
Implement this algorithm.
Implement a function called…
Exercise 1:In this problem, we would like to implement a variation of the Bubble Sort algorithm. The algorithm differs from a bubble sort in that it sorts in both directions on each pass through the list. The algorithm is illustrated as in the following figure:
For the first step, we perform bubble sort from the index 1 to n (n is thenumber of elements in the array).
The next step, we perform a reserved bubble sort from the index n to 1.
The process is repeated until all the array is sorted.
Propose a pseudo-code to complete the Bubble Sort algorithm. Implement and test this algorithm in C/C++. Analyze and compute the complexity of this algorithm in the best, average and worst scenarios.Exercise 2:Re-implement Exercise 1 using a linear data structure: List, Stack, Queue. Justify your choice of data structure.
Chapter 16 Solutions
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Ch. 16.1 - Prob. 16.1CPCh. 16.1 - Prob. 16.2CPCh. 16.1 - Prob. 16.3CPCh. 16.1 - Prob. 16.4CPCh. 16.2 - Prob. 16.5CPCh. 16.2 - Prob. 16.6CPCh. 16.2 - Prob. 16.7CPCh. 16.2 - If a sequential search is performed on an array,...Ch. 16.3 - Prob. 16.9CPCh. 16.3 - Prob. 16.10CP
Ch. 16.3 - Prob. 16.11CPCh. 16.3 - Prob. 16.12CPCh. 16.3 - Prob. 16.13CPCh. 16.3 - Prob. 16.14CPCh. 16.3 - Let a[ ] and b[ ] be two integer arrays of size n....Ch. 16.3 - Prob. 16.16CPCh. 16.3 - Prob. 16.17CPCh. 16.3 - Prob. 16.18CPCh. 16 - Prob. 1MCCh. 16 - Prob. 2MCCh. 16 - Prob. 3MCCh. 16 - Prob. 4MCCh. 16 - Prob. 5MCCh. 16 - Prob. 6MCCh. 16 - Prob. 7MCCh. 16 - Prob. 8MCCh. 16 - Prob. 9MCCh. 16 - Prob. 10MCCh. 16 - True or False: If data is sorted in ascending...Ch. 16 - True or False: If data is sorted in descending...Ch. 16 - Prob. 13TFCh. 16 - Prob. 14TFCh. 16 - Assume this code is using the IntBinarySearcher...Ch. 16 - Prob. 1AWCh. 16 - Prob. 1SACh. 16 - Prob. 2SACh. 16 - Prob. 3SACh. 16 - Prob. 4SACh. 16 - Prob. 5SACh. 16 - Prob. 6SACh. 16 - Prob. 7SACh. 16 - Prob. 8SACh. 16 - Prob. 1PCCh. 16 - Sorting Objects with the Quicksort Algorithm The...Ch. 16 - Prob. 3PCCh. 16 - Charge Account Validation Create a class with a...Ch. 16 - Charge Account Validation Modification Modify the...Ch. 16 - Search Benchmarks Write an application that has an...Ch. 16 - Prob. 8PCCh. 16 - Efficient Computation of Fibonacci Numbers Modify...
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