Starting Out with Java: From Control Structures through Objects (6th Edition)
6th Edition
ISBN: 9780133957051
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 16, Problem 9PC
Ackermarm’s Function
Ackermann’s function is a recursive mathematical
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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In Java
Ackermann’s Function
Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion.
Write 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)
9. Ackermann's Function
Ackermann's function is a recursive mathematical algorithm that can be used to test how well
a computer performs recursion. Write 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
Otherwise, return ackermann(m
1, 1)
1, ackermann (m, n -
1))
Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a function A(m, n) that solves Ackermann’s function. Use the following logic in your function:
If m = 0 then return n + 1
If n = 0 then return A(m-1, 1)
Otherwise, return A(m-1, A(m, n-1))
Test your function in a driver program that displays the following values:A(0, 0) A(0, 1) A(1, 1) A(1, 2) A(1, 3) A(2, 2) A(3, 2)
Chapter 16 Solutions
Starting Out with Java: From Control Structures through Objects (6th Edition)
Ch. 16.2 - It is said that a recursive algorithm has more...Ch. 16.2 - Prob. 16.2CPCh. 16.2 - What is a recursive case?Ch. 16.2 - What causes a recursive algorithm to stop calling...Ch. 16.2 - What is direct recursion? What is indirect...Ch. 16 - Prob. 1MCCh. 16 - This is the part of a problem that can be solved...Ch. 16 - This is the part of a problem that is solved with...Ch. 16 - This is when a method explicitly calls itself. a....Ch. 16 - Prob. 5MC
Ch. 16 - Prob. 6MCCh. 16 - True or False: An iterative algorithm will usually...Ch. 16 - True or False: Some problems can be solved through...Ch. 16 - True or False: It is not necessary to have a base...Ch. 16 - True or False: In the base case, a recursive...Ch. 16 - Find the error in the following program: public...Ch. 16 - Prob. 1AWCh. 16 - Prob. 2AWCh. 16 - What will the following program display? public...Ch. 16 - Prob. 4AWCh. 16 - What will the following program display? public...Ch. 16 - Convert the following iterative method to one that...Ch. 16 - Write an iterative version (using a loop instead...Ch. 16 - What is the difference between an iterative...Ch. 16 - What is a recursive algorithms base case? What is...Ch. 16 - What is the base case of each of the recursive...Ch. 16 - What type of recursive method do you think would...Ch. 16 - Which repetition approach is less efficient: a...Ch. 16 - When recursion is used to solve a problem, why...Ch. 16 - How is a problem usually reduced with a recursive...Ch. 16 - Prob. 1PCCh. 16 - isMember Method Write a recursive boolean method...Ch. 16 - String Reverser Write a recursive method that...Ch. 16 - maxElement Method Write a method named maxElement,...Ch. 16 - Palindrome Detector A palindrome is any word,...Ch. 16 - Character Counter Write a method that uses...Ch. 16 - Recursive Power Method Write a method that uses...Ch. 16 - Sum of Numbers Write a method that accepts an...Ch. 16 - Ackermarms Function Ackermanns function is a...Ch. 16 - Recursive Population Class In Programming...
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