Starting Out with Java: Early Objects (6th Edition)
Starting Out with Java: Early Objects (6th Edition)
6th Edition
ISBN: 9780134462011
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 14, Problem 9PC

Ackermarm’s Function

Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Wrire a method ackermann(m, n), which solves Ackermann’s function. Use the following logic in your method:

If m = 0 then return n + 1

If n = 0 then return ackermann(m - 1, 1)

Otherwise, return ackermann(m - 1, ackermann(m, n - 1))

Test your method in a program that displays the return values of the following method calls:

ackermann(0, 0) ackermann(0, 1) ackermann(1, 1) ackermann(1, 2)

ackermann(1, 3) ackermann(2, 2) ackermann(3, 2)

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Chapter 14 Solutions

Starting Out with Java: Early Objects (6th Edition)

Ch. 14 - Prob. 6MCCh. 14 - True or False: An iterative algorithm will usually...Ch. 14 - True or False: Some problems can be solved through...Ch. 14 - True or False: It is not necessary to have a base...Ch. 14 - True or False: In the base case, a recursive...Ch. 14 - Find the error in the following program: public...Ch. 14 - Prob. 1AWCh. 14 - Prob. 2AWCh. 14 - What will the following program display? public...Ch. 14 - Prob. 4AWCh. 14 - What will the following program display? public...Ch. 14 - Convert the following iterative method to one that...Ch. 14 - Write an iterative version (using a loop instead...Ch. 14 - What is the difference between an iterative...Ch. 14 - What is a recursive algorithms base case? What is...Ch. 14 - What is the base case of each of the recursive...Ch. 14 - What type of recursive method do you think would...Ch. 14 - Which repetition approach is less efficient: a...Ch. 14 - When recursion is used to solve a problem, why...Ch. 14 - How is a problem usually reduced with a recursive...Ch. 14 - Prob. 1PCCh. 14 - isMember Method Write a recursive boolean method...Ch. 14 - String Reverser Write a recursive method that...Ch. 14 - maxElement Method Write a method named maxElement,...Ch. 14 - Palindrome Detector A palindrome is any word,...Ch. 14 - Character Counter Write a method that uses...Ch. 14 - Recursive Power Method Write a method that uses...Ch. 14 - Sum of Numbers Write a method that accepts an...Ch. 14 - Ackermarms Function Ackermanns function is a...Ch. 14 - Recursive Population Class In Programming...

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