Starting Out with Programming Logic and Design (4th Edition)
Starting Out with Programming Logic and Design (4th Edition)
4th Edition
ISBN: 9780133985078
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 11, Problem 7PE
Program Plan Intro

The speed of the sound

Program Plan:

  • Include the required header files.
  • Define the main(),
    • Declare the required variables.
    • Display the menu options on the screen.
    • Get the choice from the user.
    • Using switch case,
      • Validate the user choice
        • Case 1:
          • Set the corresponding speed for “Air”.
          • Get the number of seconds that the sound travels.
          • Calculate the total distance amount.
        • Case 2:
          • Set the corresponding speed for “Water”.
          • Get the number of seconds that the sound travels.
          • Calculate the total distance amount.
        • Case 3:
          • Set the corresponding speed for “Steel”.
          • Get the number of seconds that the sound travels.
          • Calculate the total distance amount.
        • Case 4: Exit the program.

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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)

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Starting Out with Programming Logic and Design (4th Edition)

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