Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
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 16.3CP

Explanation of Solution

Selection sort:

  • This is sorting algorithm in which it finds out the smallest value in the array and moves that element to position “0”.
  • Then, it finds out the next smallest value and moves the element to position “1”.
  • This process is continued until all the elements are placed in proper order.

Example:

Consider the elements to sort (8, 5, 1, 2, 7 )

  • Find the smallest element in the array by comparing all the values and place it in the first position.

  • Find the next smallest element in the array by comparing the values and place it in second position.

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Mina always wants things to be sorted. She loves perfection in work and doesn't worry about time. Her brother gifted her some boxes with different sizes. Now she needs your help to sort it. You're given n boxes with different sizes and your task is to sort the boxes in ascending order of size. You should recursively partition the array with a number p so that all the elements greater than p are to its right and all the elements lower than p to its left to sort the boxes. Make sure you are giving a solution that doesn't exceed the time complexity of O(n^2), but on average has complexity of O(nlogn) a. Which algorithm will you suggest to Mina? Explain if your algorithm is stable or unstable with appropriate example b. Show the step by step simulation of your algorithm on the boxes of size 5, 9, 10, 3, 15, 12, 6, 20, 9, 13, 3, 10, 1, 2. c. Give an example of box sizes when it will be worst case and when it will be the best case for this algorithm.
A sort algorithm that finds the smallest element of the array and interchanges it with the element in the first position of the array. Then it finds the second smallest element from the remaining elements in the array and places it in the second position of the array and so on
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Chapter 16 Solutions

Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)

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