Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
9th Edition
ISBN: 9780133862218
Author: Walter Savitch
Publisher: PEARSON
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Chapter 2, Problem 7PP
It is difficult to make a budget that spans several years, because prices are not stable. If your company needs 200 pencils per year, you cannot simply use this year’s price as the cost of pencils 2 years from now. Because of inflation the cost is likely to be higher than it is today. Write a
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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem
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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
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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:
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Output: 2 (since 86 = 46+35+5)
Design a dynamic programming algorithm for the Longest Common Subsequence problem de-
scribed below
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(I want the largest k such that there are 1 ≤ i₁ < ... < ik ≤ m and 1 ≤ j₁ < ... < jk ≤ n such that
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Example 1:
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Example 2:
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Output: 3 ('asu' is the longest common subsequence to both strings)
Chapter 2 Solutions
Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
Ch. 2.1 - Give the declaration for two variables called feet...Ch. 2.1 - Give the declaration for two variables called...Ch. 2.1 - Give a C++ statement that will change the value of...Ch. 2.1 - Give a C++ statement that will increase the value...Ch. 2.1 - Give a C++ statement that will change the value of...Ch. 2.1 - Prob. 6STECh. 2.1 - Prob. 7STECh. 2.2 - Give an output statement that will produce the...Ch. 2.2 - Give an input statement that will fill the...Ch. 2.2 - Prob. 10STE
Ch. 2.2 - Write a complete C++ program that writes the...Ch. 2.2 - Write a complete C++ program that reads in two...Ch. 2.2 - Prob. 13STECh. 2.2 - Write a short program that declares and...Ch. 2.3 - Convert each of the following mathematical...Ch. 2.3 - Prob. 16STECh. 2.3 - What is the output of the following program lines...Ch. 2.3 - Write a complete C++ program that reads two whole...Ch. 2.3 - Given the following fragment that purports to...Ch. 2.3 - What is the output of the following program lines...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Suppose savings and expenses are variables of type...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Consider a quadratic expression, say x2 x 2...Ch. 2.4 - Consider the quadratic expression x2 4x + 3...Ch. 2.4 - What is the output of the following cout...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What output would be produced in the previous...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the most important difference between a...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - Write a complete C++ program that outputs the...Ch. 2.5 - The following if-else statement will compile and...Ch. 2.5 - Prob. 36STECh. 2.5 - Write a complete C++ program that asks the user...Ch. 2 - A metric ton is 35,273.92 ounces. Write a program...Ch. 2 - The Babylonian algorithm to compute the square...Ch. 2 - Many treadmills output the speed of the treadmill...Ch. 2 - Write a program that plays the game of Mad Lib....Ch. 2 - The following is a short program that computes the...Ch. 2 - A government research lab has concluded that an...Ch. 2 - Workers at a particular company have won a 7.6%...Ch. 2 - Modify your program from Programming Project 2 so...Ch. 2 - Negotiating a consumer loan is not always...Ch. 2 - Write a program that determines whether a meeting...Ch. 2 - Prob. 6PPCh. 2 - It is difficult to make a budget that spans...Ch. 2 - You have just purchased a stereo system that cost...Ch. 2 - Write a program that reads in ten whole numbers...Ch. 2 - Modify your program from Programming Project 9 so...Ch. 2 - Sound travels through air as a result of...Ch. 2 - Prob. 12PPCh. 2 - The HarrisBenedict equation estimates the number...Ch. 2 - Write a program that calculates the total grade...Ch. 2 - It is important to consider the effect of thermal...
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