Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)

11th Edition

ISBN: 9780134670942

Author: Y. Daniel Liang

Publisher: PEARSON

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Array

The simplest way to start thinking about an array is as a collection, or a set of elements. In programming, these elements may be constants, variables, functions and pointers.

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Textbook Question

Chapter 14, Problem 14.3PE

(Display three cards) Write a program that displays three cards randomly selected from a deck of 52, as shown in Figure 14.43c. The card image files are named 1.png, 2.png,..., 52.png and stored in the image/card directory. All three cards are distinct and selected randomly. (Hint: You can select random cards by storing the numbers 1–52 to an array list, perform a random shuffle introduced in Section 11.12, and use the first three numbers in the array list as the file names for the image.)

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Chapter 14, Problem 14.2PE

Chapter 14, Problem 14.4PE

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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)

Design a dynamic programming algorithm for the Coin-change problem described below: Input: An amount of money C and a set of n possible coin values with an unlimited supply of each kind of coin. Output: The smallest number of coins that add up to C exactly, or output that no such set exists. The algorithm must take O(n C) time. You must also write and explain the recurrence. Example 1: Input: C24, Coin values = = [1, 5, 10, 25, 50] Output: 6 (since 24 = 10+ 10+1+1 +1 + 1) Example 2: Input: C = 86, Coin values = [1, 5, 6, 23, 35, 46, 50] Output: 2 (since 86 = 46+35+5)

Design a dynamic programming algorithm for the Longest Common Subsequence problem de- scribed below Input: Two strings x = x1x2 xm and y = Y1Y2... Yn Output: The length of the longest subsequence that is common to both x and y. . The algorithm must take O(m n) time. You must also write and explain the recurrence. (I want the largest k such that there are 1 ≤ i₁ < ... < ik ≤ m and 1 ≤ j₁ < ... < jk ≤ n such that Xi₁ Xi2 Xik = Yj1Yj2 ··· Yjk) Example 1: Input: x = 'abcdefghijklmnopqrst' and y = 'ygrhnodsh ftw' Output: 6 ('ghnost' is the longest common subsequence to both strings) Example 2: Input: x = 'ahshku' and y = ‘asu' Output: 3 ('asu' is the longest common subsequence to both strings)

Chapter 14 Solutions

Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)

Ch. 14.2 - Explain the evolution of Java GUI technologies.Ch. 14.2 - Prob. 14.2.2CP Ch. 14.3 - Prob. 14.3.1CP Ch. 14.3 - Show the output of the following JavaFX program:...Ch. 14.4 - How do you create a Scene object? How do you set a...Ch. 14.4 - Prob. 14.4.2CP Ch. 14.4 - Prob. 14.4.3CP Ch. 14.4 - How do you replace the code in lines 20 and 21 in...Ch. 14.5 - Prob. 14.5.1CP Ch. 14.5 - Prob. 14.5.2CP

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