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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Chapter 1.3, Problem 1.3.2CP
What is an assembly language? What is an assembler?
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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 1 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 1.2 - What are hardware and software?Ch. 1.2 - List the five major hardware components of a...Ch. 1.2 - What does the acronym CPU stand for? What unit is...Ch. 1.2 - Prob. 1.2.4CPCh. 1.2 - What is memory for? What does RAM stand for? Why...Ch. 1.2 - Prob. 1.2.6CPCh. 1.2 - Prob. 1.2.7CPCh. 1.3 - What language does the CPU understand?Ch. 1.3 - What is an assembly language? What is an...Ch. 1.3 - What is a high-level programming language? What is...
Ch. 1.3 - What is an interpreter? What is a compiler?Ch. 1.3 - Prob. 1.3.5CPCh. 1.4 - Prob. 1.4.1CPCh. 1.4 - Prob. 1.4.2CPCh. 1.4 - Prob. 1.4.3CPCh. 1.5 - Who invented Java? Which company owns Java now?Ch. 1.5 - What is a Java applet?Ch. 1.5 - What programming language does Android use?Ch. 1.6 - What is the Java language specification?Ch. 1.6 - Prob. 1.6.2CPCh. 1.6 - Prob. 1.6.3CPCh. 1.6 - Are tools like NetBeans and Eclipse different...Ch. 1.7 - What is a keyword? List some Java keywords.Ch. 1.7 - Prob. 1.7.2CPCh. 1.7 - Prob. 1.7.3CPCh. 1.7 - Prob. 1.7.4CPCh. 1.7 - Prob. 1.7.5CPCh. 1.8 - What is the Java source filename extension, and...Ch. 1.8 - What are the input and output of a Java compiler?Ch. 1.8 - What is the command to compile a Java program?Ch. 1.8 - What is the command to run a Java program?Ch. 1.8 - Prob. 1.8.5CPCh. 1.8 - Prob. 1.8.6CPCh. 1.8 - If a NoClassDefFoundError occurs when you run a...Ch. 1.8 - If a NoSuchMethodError occurs when you run a...Ch. 1.9 - Reformat the following program according to the...Ch. 1.10 - Prob. 1.10.1CPCh. 1.10 - Prob. 1.10.2CPCh. 1.10 - If you forget to put a closing quotation mark on a...Ch. 1.10 - If your program needs to read integers, but the...Ch. 1.10 - Suppose you write a program for computing the...Ch. 1.10 - Identify and fix the errors in the following code:...Ch. 1 - (Display three messages) Write a program that...Ch. 1 - (Display five messages) Write a program that...Ch. 1 - (Display a pattern) Write a program that displays...Ch. 1 - Prob. 1.4PECh. 1 - (Compute expressions) Write a program that...Ch. 1 - (Summation of a series) Write a program that...Ch. 1 - (Approximate ) can be computed using the...Ch. 1 - (Area and perimeter of a circle) Write a program...Ch. 1 - (Area and perimeter of a rectangle) Write a...Ch. 1 - (Average speed in miles) Assume that a runner runs...Ch. 1 - (Population projection) The U.S. Census Bureau...Ch. 1 - (Average speed in kilometers) Assume that a runner...Ch. 1 - (Algebra: solve 2 2 linear equations) You can use...
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