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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Textbook Question
Chapter 9.3, Problem 9.3.3CP
How do you declare an object’s reference variable?
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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 9 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 9.3 - Prob. 9.3.1CPCh. 9.3 - How do you define a class?Ch. 9.3 - How do you declare an objects reference variable?Ch. 9.3 - How do you create an object?Ch. 9.4 - Prob. 9.4.5CPCh. 9.4 - When will a class have a default constructor?Ch. 9.5 - Which operator is used to access a data field or...Ch. 9.5 - What is an anonymous object?Ch. 9.5 - Prob. 9.5.3CPCh. 9.5 - Is an array an object or a primitive-type value?...
Ch. 9.5 - Prob. 9.5.5CPCh. 9.5 - What is wrong in the following code? 1. class Test...Ch. 9.5 - Prob. 9.5.7CPCh. 9.6 - Prob. 9.6.1CPCh. 9.6 - Prob. 9.6.2CPCh. 9.6 - Which packages contain the classes Date, Random,...Ch. 9.7 - Suppose the class F is defined in (a). Let f be an...Ch. 9.7 - Prob. 9.7.2CPCh. 9.7 - Can you invoke an instance method or reference an...Ch. 9.9 - Prob. 9.9.1CPCh. 9.9 - Prob. 9.9.2CPCh. 9.9 - In the following code, radius is private in the...Ch. 9.10 - Prob. 9.10.1CPCh. 9.10 - Show the output of the following program: public...Ch. 9.10 - Show the output of the following code:Ch. 9.10 - Prob. 9.10.4CPCh. 9.11 - What is wrong in the following code? 1public class...Ch. 9.12 - If a class contains only private data fields and...Ch. 9.12 - If all the data fields in a class are private and...Ch. 9.12 - Is the following class immutable? public class A {...Ch. 9.13 - What is the output of the following program?...Ch. 9.14 - Prob. 9.14.2CPCh. 9.14 - Prob. 9.14.3CPCh. 9 - (The Rectangle class) Following the example of the...Ch. 9 - (The Stock class) Following the example of the...Ch. 9 - (Use the Date class) Write a program that creates...Ch. 9 - Prob. 9.4PECh. 9 - (Use the GregorianCa1endar class) Java API has the...Ch. 9 - (Stopwatch) Design a class named StopWatch. The...Ch. 9 - (The Account class) Design a class named Account...Ch. 9 - (The Fan class) Design a class named Fan to...Ch. 9 - (Geometry: n-sided regular polygon) In an n-sided...Ch. 9 - Prob. 9.10PECh. 9 - (Algebra: 2 2linear equations) Design a class...Ch. 9 - (Geometry: intersecting point) Suppose two line...Ch. 9 - (The Location class) Design a class named Location...
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