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14.10 Under what circumstances would the merge sort be preferred over the other two O(n lg n) sorting algorithms 14.11 Under what circumstances is the quick sort like the selection sort 14.12 Under what circumstances would the quick sort be preferred over the other two O(n lg n) sorting algorithms 14.13 How is the heap sort similar to the selection sort and the insertion sort 14.14 Which algorithm does the Java API use to implement its java.util.Arrays.sort() methods 14.15 A sorting algorithm is said to be stable if it preserves the order of equal elements. Which of the sorting algorithms are not stable 14.16 Which of the nine sorting algorithms outlined in this chapter require extra array space 14.17 Which of the nine sorting algorithms outlined in this chapter would work best on an external file of records 14.18 The merge sort is parallelizable. This means that parts of it can be performed simultaneously, independent of each other, provided that the computer has multiple processors that can run in parallel. This works for the merge sort because several different parts of the array can be subdivided or merged independently of other parts. Which of the other sorting algorithms described in this chapter are parallelizable

CHAP. 14]

KaZaA is a file-sharing community used to exchange music files, video and movie files, and games The company has a checkered record of conflicts over its facilitation of copying of copyrighted materials (http://enwikipediaorg/wiki/Kazaa) A study in 2003, and reported in Wired magazine (Zetter, K, Kazaa Delivers More Than Tunes, Wired, January 11, 2004), found that 45 percent of the 4778 executable files the researchers downloaded from KaZaA during one month contained viruses or Trojan horses! A worm is a program that travels through the network by exploiting weaknesses in the security systems of computers on the network Often the weakness has to do with an array of data where there is no checking being done on the boundaries of the array.

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14.19 Imagine a Web site that has a Java applet for each sorting algorithm that shows how the algorithm works by displaying an animation of a test run on an array a[] of 256 random numbers in the range 0.0 to 1.0. The animation shows on each iteration of the algorithm s main loop a two-dimensional plot of 256 points (x, y), one for each element in the array, where x = i+1 and y = a[i]. Each plot in Figure 14.7 shows the progress halfway through the sort for one of the following six algorithms: selection sort insertion sort merge sort quick sort heap sort radix sort Match each plot with the sorting algorithm that produced it:

14.1 If an O(n2) algorithm (e.g., the bubble sort, the selection sort, or the insertion sort) takes 3.1 milliseconds to run on an array of 200 elements, how long would you expect it to take to run on a similar array of: a. 400 elements b. 40,000 elements If an O(n lg n) algorithm (e.g., the merge sort, the quick sort, or the heap sort) takes 3.1 milliseconds to run on an array of 200 elements, how long would you expect it to take to run on a similar array of 40,000 elements The insertion sort runs in linear time on an array that is already sorted. How does it do on an array that is sorted in reverse order

Programs written in the C programming language, perhaps the most popular system programming language, can be vulnerable, because C does not provide built-in boundary checking on arrays A worm program can change data beyond the boundary of an array, thus altering, perhaps, the return address on the call stack so as to cause the method to transfer control to the worm Why do people write and release viruses, Trojan horses, and worms Sometimes it is for clearly criminal intent The perpetrator wants to gain access to private information, perhaps with the intention of stealing money or credit Sometimes it is for a quasi-commercial purpose, such as gaining access to another s computer to employ it to send spam e-mail to others Sometimes it is simply to prove one s technical ability, and perhaps also to gain recognition among one s peer group or reference group.

How does the bubble sort perform on: a. An array that is already sorted b. An array that is sorted in reverse order How does the selection sort perform on: a. An array that is already sorted b. An array that is sorted in reverse order How does the merge sort perform on: a. An array that is already sorted b. An array that is sorted in reverse order How does the quick sort perform on: a. An array that is already sorted b. An array that is sorted in reverse order How does the heap sort perform on: a. An array that is already sorted b. An array that is sorted in reverse order

The bubble sort, the selection sort, and the insertion sort are all O(n2) algorithms. Which is the fastest and which is the slowest among them

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