EBK STARTING OUT WITH C++
8th Edition
ISBN: 8220100794438
Author: GADDIS
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 20RQE
The _________ library function returns the natural logarithm of a number.
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Students have asked these similar questions
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 3 Solutions
EBK STARTING OUT WITH C++
Ch. 3.1 - Prob. 3.1CPCh. 3.1 - Prob. 3.2CPCh. 3.1 - Assume value is an integer variable. If the user...Ch. 3.1 - A program has the following variable definitions....Ch. 3.1 - Prob. 3.5CPCh. 3.1 - Complete the following program skeleton so it asks...Ch. 3.2 - Complete the table below by determining the value...Ch. 3.2 - Write C++ expressions for the following algebraic...Ch. 3.2 - Prob. 3.9CPCh. 3.2 - Complete the following program skeleton so it...
Ch. 3.5 - Assume the following variable definitions: int a =...Ch. 3.5 - Complete the following program skeleton so it asks...Ch. 3.5 - Prob. 3.13CPCh. 3.6 - Write a multiple assignment statement that assigns...Ch. 3.6 - Write statements using combined assignment...Ch. 3.6 - Prob. 3.16CPCh. 3.7 - Write cout statements with stream manipulators...Ch. 3.7 - Prob. 3.18CPCh. 3.7 - The following program skeleton asks for an angle...Ch. 3.9 - Prob. 3.20CPCh. 3.9 - Assume the variables angle1 and angle2 hold angles...Ch. 3.9 - To find the cube root (the third root) of a...Ch. 3.9 - The cosecant of the angle a is 1sina Write a...Ch. 3 - Assume the following variables are defined: int...Ch. 3 - Prob. 2RQECh. 3 - Prob. 3RQECh. 3 - Complete the following table by determining the...Ch. 3 - Write C++ expressions for the following algebraic...Ch. 3 - Assume a program has the following variable...Ch. 3 - Assume a program has the following variable...Ch. 3 - Assume qty and salesReps are both integers. Use a...Ch. 3 - Rewrite the following variable definition so that...Ch. 3 - Complete the following table by providing...Ch. 3 - Write a multiple assignment statement that can be...Ch. 3 - Write a cout statement so the variable divSales is...Ch. 3 - Write a cout statement so the variable totalAge is...Ch. 3 - Prob. 14RQECh. 3 - The__________ library function returns the cosine...Ch. 3 - The ___________ library function returns the sine...Ch. 3 - The ________ library function returns the tangent...Ch. 3 - The __________ library function returns the...Ch. 3 - The _________ library functionreturns the...Ch. 3 - The _________ library function returns the natural...Ch. 3 - Prob. 21RQECh. 3 - The _______ library function returns the value of...Ch. 3 - The _________ libraryfunction returns the square...Ch. 3 - The ________ file must beincluded in aprogramthat...Ch. 3 - A retail store grants its customers a maximum...Ch. 3 - Write a pseudocode algorithm for a program that...Ch. 3 - Write a pseudocode algorithm for a program that...Ch. 3 - using namespace std; int main () { double number1,...Ch. 3 - #include iostream using namespace std; int main()...Ch. 3 - #include iostream; using namespace std; int main()...Ch. 3 - #include iostream; using namespace std; main { int...Ch. 3 - #inc1ude iostream; using namespace std; main {...Ch. 3 - #inc1ude iostream; using namespace std; int main()...Ch. 3 - What will each of the following programs display?...Ch. 3 - #include iostream using namespace std; int main()...Ch. 3 - (Assume the user enters George Washington.)...Ch. 3 - (Assume the user enters 36720152. Use a...Ch. 3 - Miles per Gallon Write a program that calculates a...Ch. 3 - Stadium Seating There are three seating categories...Ch. 3 - Test Average Write a program that asks for five...Ch. 3 - Average Rainfall Write a program that calculates...Ch. 3 - Ingredient Adjuster A cookie recipe calls for the...Ch. 3 - Box Office A movie theater only keeps a percentage...Ch. 3 - How Many Widgets? The Yukon Widget Company...Ch. 3 - How Many Calories? A bag of cookies holds 30...Ch. 3 - How Much Insurance? Many financial experts advise...Ch. 3 - Automobile Costs Write a program that asks the...Ch. 3 - Celsius to Fahrenheit Write a program that...Ch. 3 - Currency Write a program that will convert U.S....Ch. 3 - Monthly Sales Tax A retail company must file a...Ch. 3 - Property Tax A county collects property taxes on...Ch. 3 - Senior Citizen Property Tax Madison County...Ch. 3 - Math Tutor Write a program that can be used as a...Ch. 3 - Interest Earned Assuming there are no deposits...Ch. 3 - Monthly Payments The monthly payment on a loan may...Ch. 3 - Pizza Pi Joes Pizza Palace needs a program to...Ch. 3 - Angle Calculator Write a program that asks the...Ch. 3 - Stock Transaction Program Last month Joe purchased...Ch. 3 - Word Game Write a program that plays a word game...
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