Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
5th Edition
ISBN: 9780134801155
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 1, Problem 13MC

A bit that is turned off represents the following value: ______.

  1. a. 1
  2. b. –1
  3. c. 0
  4. d. “no”
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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

Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)

Ch. 1.3 - Prob. 1.11CPCh. 1.3 - Prob. 1.12CPCh. 1.3 - Prob. 1.13CPCh. 1.3 - Prob. 1.14CPCh. 1.4 - A CPU understands instructions that are written...Ch. 1.4 - Prob. 1.16CPCh. 1.4 - When a CPU executes the instructions in a program,...Ch. 1.4 - What is assembly language?Ch. 1.4 - What type of programming language allows you to...Ch. 1.4 - Prob. 1.20CPCh. 1.4 - What do you call a program that translates a...Ch. 1.4 - What do you call a program that both translates...Ch. 1.4 - Prob. 1.23CPCh. 1.5 - Prob. 1.24CPCh. 1.5 - Prob. 1.25CPCh. 1.5 - Word processing programs, spreadsheet programs,...Ch. 1 - A(n) _______ is a set of instructions that a...Ch. 1 - Prob. 2MCCh. 1 - Prob. 3MCCh. 1 - Today, CPUs are small chips known as ____. a....Ch. 1 - Prob. 5MCCh. 1 - Prob. 6MCCh. 1 - Prob. 7MCCh. 1 - Prob. 8MCCh. 1 - Prob. 9MCCh. 1 - Prob. 10MCCh. 1 - Prob. 11MCCh. 1 - In a(n) ______ numbering system, all numeric...Ch. 1 - A bit that is turned off represents the following...Ch. 1 - Prob. 14MCCh. 1 - Prob. 15MCCh. 1 - Prob. 16MCCh. 1 - Prob. 17MCCh. 1 - Prob. 18MCCh. 1 - Prob. 19MCCh. 1 - Prob. 20MCCh. 1 - Computers can only execute programs that are...Ch. 1 - Prob. 22MCCh. 1 - The words that make up a high-level programming...Ch. 1 - Prob. 24MCCh. 1 - A(n) _______ program translates a high-level...Ch. 1 - Today, CPUs are huge devices made of electrical...Ch. 1 - Prob. 2TFCh. 1 - Any piece of data that is stored in a computers...Ch. 1 - Prob. 4TFCh. 1 - Machine language is the only language that a CPU...Ch. 1 - Assembly language is considered a high-level...Ch. 1 - An interpreter is a program that both translates...Ch. 1 - A syntax error does not prevent a program from...Ch. 1 - Prob. 9TFCh. 1 - Word processing programs, spreadsheet programs,...Ch. 1 - Why is the CPU the most important component in a...Ch. 1 - Prob. 2SACh. 1 - Prob. 3SACh. 1 - What are the words that make up a high-level...Ch. 1 - What are the short words that are used in assembly...Ch. 1 - What is the difference between a compiler and an...Ch. 1 - Prob. 7SACh. 1 - Prob. 1ECh. 1 - Use what you've learned about the binary numbering...Ch. 1 - Prob. 3ECh. 1 - Use the Web to research the history of the BASIC,...

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