Problem Solving with C++ (10th Edition)
Problem Solving with C++ (10th Edition)
10th Edition
ISBN: 9780134448282
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 4.3, Problem 9STE

Carefully describe the call-by-value parameter mechanism.

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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)
Design a dynamic programming algorithm for the problem described below Input: A list of numbers A = = [a1,..., an]. Output: A contiguous subsequence of numbers with the maximum sum. The algorithm must take O(n) time. You must also write and explain the recurrence. (I am looking for an i ≥ 1 and k ≥ 0 such that a + ai+1 + ···ai+k has the largest possible sum among all possible values for i and k.) Example 1: Input: A[5, 15, -30, 10, -5, 40, 10]. Output: [10, 5, 40, 10] Example 2: Input: A = [7, 5, 7, 4, -20, 6, 9, 3, -4, -8, 4] Output: [6,9,3]

Chapter 4 Solutions

Problem Solving with C++ (10th Edition)

Ch. 4.3 - Write a function definition for a function called...Ch. 4.3 - Write a function definition for a function called...Ch. 4.3 - Write a function definition for a function isDigit...Ch. 4.3 - Write a function definition for a function...Ch. 4.4 - What is the purpose of the comment that...Ch. 4.4 - Prob. 16STECh. 4.4 - Prob. 17STECh. 4.4 - Carefully describe the process of program testing.Ch. 4.4 - Prob. 19STECh. 4.5 - If you use a variable in a function definition,...Ch. 4.5 - Suppose a function named Function1 has a variable...Ch. 4.5 - The following function is supposed to take as...Ch. 4.5 - Prob. 23STECh. 4.6 - Prob. 24STECh. 4.6 - Prob. 25STECh. 4.6 - Prob. 26STECh. 4.6 - Suppose you have two function definitions with the...Ch. 4.6 - This question has to do with the Programming...Ch. 4.6 - Prob. 29STECh. 4 - A liter is 0.264179 gallons. Write a program that...Ch. 4 - Modify your program from Practice Program 1 so...Ch. 4 - The price of stocks is sometimes given to the...Ch. 4 - Write a program to gauge the rate of inflation for...Ch. 4 - Enhance your program from the previous Practice...Ch. 4 - Write a function declaration for a function that...Ch. 4 - The gravitational attractive force between two...Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Write a program that computes the annual after-tax...Ch. 4 - Write a program that asks for the users height,...Ch. 4 - Modify your program from Programming Project 2 so...Ch. 4 - Write a program that outputs the lyrics for the...Ch. 4 - To maintain ones body weight, an adult human needs...Ch. 4 - You have invented a vending machine capable of...Ch. 4 - Your time machine is capable of going forward in...Ch. 4 - Do Programming Project 11 from Chapter 3 except...Ch. 4 - Your sports league uses the following lottery...Ch. 4 - Do Programming Project 14 from Chapter 3, the Edoc...
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