Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
5th Edition
ISBN: 9780134801155
Author: Tony Gaddis
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 6PE
Ackermann’s Function
7. 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))
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.
Write a recursive function that finds n-th power of number m.
Ex:m=3
n=4
Ans=81
WRITE IN PYTHON PLEASE
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
Hide Invisibles
Highlight: Show Highlighted Only
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↵
Chapter 13 Solutions
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Ch. 13.2 - It is said that a recursive algorithm has more...Ch. 13.2 - Prob. 13.2CPCh. 13.2 - What is a recursive case?Ch. 13.2 - What causes a recursive algorithm to stop calling...Ch. 13.2 - What is direct recursion? What is indirect...Ch. 13 - Prob. 1MCCh. 13 - A module is called once from a programs main...Ch. 13 - The part of a problem that can be solved without...Ch. 13 - Prob. 4MCCh. 13 - Prob. 5MC
Ch. 13 - Prob. 6MCCh. 13 - Any problem that can be solved recursively can...Ch. 13 - Actions taken by the computer when a module is...Ch. 13 - A recursive algorithm must _______ in the...Ch. 13 - A recursive algorithm must _____ in the base case....Ch. 13 - An algorithm that uses a loop will usually run...Ch. 13 - Some problems can be solved through recursion...Ch. 13 - It is not necessary to have a base case in all...Ch. 13 - In the base case, a recursive method calls itself...Ch. 13 - In Program 13-2, presented earlier in this...Ch. 13 - In this chapter, the rules given for calculating...Ch. 13 - Is recursion ever required to solve a problem?...Ch. 13 - When recursion is used to solve a problem, why...Ch. 13 - How is a problem usually reduced with a recursive...Ch. 13 - What will the following program display? Module...Ch. 13 - What will the following program display? Module...Ch. 13 - The following module uses a loop. Rewrite it as a...Ch. 13 - Prob. 1PECh. 13 - Prob. 2PECh. 13 - Recursive Array Sum Design a function that accepts...Ch. 13 - Prob. 4PECh. 13 - Prob. 5PECh. 13 - Ackermanns Function 7. Ackermanns Function is a...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
What is the purpose of an objects sizing handles?
Starting Out With Visual Basic (7th Edition)
Suggest why it is important to make a distinction between developing the user requirements and developing syste...
Software Engineering (10th Edition)
What does the following code print? System.out.println(""); System.out.println(""); System.out.println(""); Sys...
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
The ____________ is always transparent.
Web Development and Design Foundations with HTML5 (8th Edition)
Use a combination of code reading, execution of methods, breakpoints, and single stepping to familiarize yourse...
Objects First with Java: A Practical Introduction Using BlueJ (6th Edition)
Look at the following array definition: int set[10]; Write a statement using pointer notation that stores the v...
Starting Out with C++ from Control Structures to Objects (8th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.arrow_forwardWrite the definition of a recursive function int simpleSqrt(int n) The function returns the integer square root of n, meaning the biggest integer whose square is less than or equal to n. You may assume that the function is always called with a nonnegative value for n. Use the following algorithm: If n is 0 then return 0. Otherwise, call the function recursively with n-1 as the argument to get a number t. Check whether or not t+1 squared is strictly greater than n. Based on that test, return the correct result. For example, a call to simpleSqrt(8) would recursively call simpleSqrt(7) and get back 2 as the answer. Then we would square (2+1) = 3 to get 9. Since 9 is bigger than 8, we know that 3 is too big, so return 2 in this case. On the other hand a call to simpleSqrt(9) would recursively call simpleSqrt(8) and get back 2 as the answer. Again we would square (2+1) = 3 to get back 9. So 3 is the correct return value in this case.arrow_forwardWrite a recursive function that returns the nth Fibonacci number from the Fibonacciseries.int fib(int n);arrow_forward
- Write recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1arrow_forward9. 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))arrow_forwardConvert the following function into a recursive functionarrow_forward
- 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)arrow_forwardCodeW X b For func x C Solved X b Answer X https://codeworkou... CodeWorkout X270: Recursion Programming Exercise: Count Characters For function countChr() write the missing part of the recursive call. This function should return the number of times that the letter "A" appears in string "str". Recall that str.substring(a) will return the substring of str from position a to the end of str, while str.substring (a, b) will return the substring of str starting at position a and continuing to (but not including) the character at position b. Examples: countChr ("ctcoWCAt") -> 1 Your AnsSwer: 1 public int countChr(String str) { 2. if (str.length() return 0; } (0 4. { int count = 0; www. 5. 9. if (str.substring(0, 1).equals("A")) { count = 1 7. { 9. return count + > 1:10 AM 50°F Clear 12/4/2021 呼arrow_forwardIn the absence of a exit condition in a recursive function, the following error is givenarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning
C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
Programming Logic & Design ComprehensiveComputer ScienceISBN:9781337669405Author:FARRELLPublisher:Cengage
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning
C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr
Programming Logic & Design Comprehensive
Computer Science
ISBN:9781337669405
Author:FARRELL
Publisher:Cengage
Computational Software for Intelligent System Design; Author: Cadence Design Systems;https://www.youtube.com/watch?v=dLXZ6bM--j0;License: Standard Youtube License