Starting Out with C++ from Control Structures to Objects (9th Edition)
9th Edition
ISBN: 9780134498379
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 20, Problem 12PC
Ackermann’s Function
Ackermann’s Function is a recursive mathematical
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
A(0, 0) A(0, 1) A(1, 1) A(1, 2) A(1, 3) A(2, 2) A(3, 2)
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java C++
Ackermann’s FunctionAckermann’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 + 1If 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)
SAMPLE RUN #0: ./AckermannRF
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The·value·of·A(0,·0)=·1↵ The·value·of·A(0,·1)=·2↵ The·value·of·A(1,·1)=·3↵ The·value·of·A(1,·2)=·4↵ The·value·of·A(1,·3)=·5↵ The·value·of·A(2,·2)=·7↵ The·value·of·A(3,·2)=·29↵
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)
8. Ackerman's Function
Ackermann's Function is a recursive mathematical algorithm that can be used to test how well a system optimizes its performance of recursion. Design a function ackermann(m, n), which solves Ackermann's function. Use the following logic in your function:
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))
Once you've designed yyour function, test it by calling it with small values for m and n.
Use Python.
Chapter 20 Solutions
Starting Out with C++ from Control Structures to Objects (9th Edition)
Ch. 20.2 - What happens if a recursive function never...Ch. 20.2 - What is a recursive functions base case?Ch. 20.2 - Prob. 20.3CPCh. 20.2 - What is the difference between direct and indirect...Ch. 20 - What is the base case of each of the recursive...Ch. 20 - What type of recursive function do you think would...Ch. 20 - Which repetition approach is less efficient, a...Ch. 20 - When should you choose a recursive algorithm over...Ch. 20 - Explain what is likely to happen when a recursive...Ch. 20 - The _____________ of recursion is the number of...
Ch. 20 - Prob. 7RQECh. 20 - Prob. 8RQECh. 20 - Prob. 9RQECh. 20 - Write a recursive function to return the number of...Ch. 20 - Write a recursive function to return the largest...Ch. 20 - #include iostream using namespace std; int...Ch. 20 - Prob. 13RQECh. 20 - #include iostream #include string using namespace...Ch. 20 - Iterative Factorial Write an iterative version...Ch. 20 - Prob. 2PCCh. 20 - Prob. 3PCCh. 20 - Recursive Array Sum Write a function that accepts...Ch. 20 - Prob. 5PCCh. 20 - Prob. 6PCCh. 20 - Prob. 7PCCh. 20 - Prob. 8PCCh. 20 - Prob. 9PCCh. 20 - Prob. 10PCCh. 20 - Prob. 11PCCh. 20 - Ackermanns Function Ackermanns Function is a...
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