Java How to Program, Early Objects (11th Global Edition) - Does NOT include MyLab Programming
11th Edition
ISBN: 9780134800301
Author: Harvey Deitel, Paul J. Deitel
Publisher: Pearson Global Edition
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Chapter 1, Problem 3.6SRE
The size, shape, color and weight of an object are considered of the object’s class.
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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.
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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:
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Output: 3 ('asu' is the longest common subsequence to both strings)
Chapter 1 Solutions
Java How to Program, Early Objects (11th Global Edition) - Does NOT include MyLab Programming
Ch. 1 - Computers process data under the control of sets...Ch. 1 - Prob. 1.2SRECh. 1 - Prob. 1.3SRECh. 1 - The programs that translate high-level language...Ch. 1 - Prob. 1.5SRECh. 1 - software is generally feature complete,...Ch. 1 - Prob. 1.7SRECh. 1 - Prob. 2.1SRECh. 1 - The command from the JDK compiles a Java program.Ch. 1 - A Java source code file must end with thefile...
Ch. 1 - When a Java program is compiled, the file produced...Ch. 1 - The file produced by the Java compiler...Ch. 1 - Prob. 3.1SRECh. 1 - Java programmers concentrate on creating, which...Ch. 1 - Prob. 3.3SRECh. 1 - A new class of objects can be created conveniently...Ch. 1 - is a graphical language that allows people who...Ch. 1 - The size, shape, color and weight of an object are...Ch. 1 - Prob. 1.1ECh. 1 - Prob. 1.2ECh. 1 - Prob. 1.3ECh. 1 - Prob. 1.4ECh. 1 - Prob. 1.5ECh. 1 - Prob. 1.6ECh. 1 - Prob. 1.7ECh. 1 - languages are most convenient to the programmer...Ch. 1 - The only language a computer can directly...Ch. 1 - Prob. 1.10ECh. 1 - Theprogramming language is now used to develop...Ch. 1 - initially became widely known as the development...Ch. 1 - Prob. 2.3ECh. 1 - Theprogramming language was developed by Bjarne...Ch. 1 - Java programs normally go through five...Ch. 1 - Prob. 3.2ECh. 1 - Prob. 3.3ECh. 1 - A(n)is a software application that simulates a...Ch. 1 - Thetakes the .class files containing the programs...Ch. 1 - Prob. 3.6ECh. 1 - Explain the two compilation phases of Java...Ch. 1 - Prob. 5ECh. 1 - Prob. 1MDCh. 1 - Prob. 2MDCh. 1 - (Attributes of Hybrid Vehicles) In this chapter...Ch. 1 - Prob. 4MDCh. 1 - Prob. 5MDCh. 1 - Prob. 6MDCh. 1 - Prob. 7MD
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