Question: Ackermanns function is defined recursively on non-negative integers as follows. A(m,n) = n+1 if m == 0 A(m,n) = A(m-1, 1) if m != 0,

Ackermann’s function is defined recursively on non-negative integers as follows.

A(m,n) = n+1 if m == 0

A(m,n) = A(m-1, 1) if m != 0, n == 0

A(m,n) = A(m-1, A(m, n-1)) if m != 0, n != 0

Implement it as a recursive function Ackermann(M,N) which takes two positive integers as input and returns a positive integer as result. Once implemented test your program by evaluating Ackermann(2,2).

Step by Step Solution

★★★★★

3.43 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Solution CODE include include using namespa... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

If n is a positive integer and n 1, prove that is a perfect square. -1 (n- + (":')

A sequence is defined recursively by the equations a1 = 1, an + 1 = 1/3 (an + 4). Show that {an} is increasing and an

If the input impedance is defined as Zin =Vs / Is find the input impedance of the op amp circuit in Fig. 10.116 when R1 = 10 kÎ©, R2 = 20 kÎ©, C1 = 10 nF, and Ï = 5000...

answer the question clearly (a) Why is a shared second-level (L2) cache typically divided into multiple banks (banked) in a chip multiprocessor? [3 marks] (b) In what situation might a shared...

Task 1. Building Collatz sequence. In this task you are required to write a Python function named collatzSequence (n) , that takes a positive integer parameter, n, and returns a list containing the...

1. How can information technology support a company's business processes and decision making and give it a competitive advantage? GIve examples to illustrate your answer. 2. How does the use of the...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

What particular strengths of the relational model have led to the pre-eminent position that it holds today as a vehicle for database management? [8 marks] Identify any weaknesses in the model,...

In this question you will be asked to reflect on a project you have been involved in or observed, in which a design evolved, or could have evolved, through applying a theory of user behaviour. You...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

On January1, 20X1, Pujols Industries has the opportunity to invest in a project with an uncertain outcome. The product might be a hit and very profitable, or it might not. To put specific numbers to...

Burdeno Appliances has two divisions, Sales and Financing. Sales is responsible for selling Burdeno's Inventory and maintaining Inventory for future sale. Financing Division takes loan applications,...

Golden Food Products produces special-formula pet food. The company carries no inventories. The master budget calls for the company to manufacture and sell 120,000 cases at a budgeted price of $60...

Please answer as per question otherwise it would be reported. Identify the elements that the Crown must prove for each of the offences that the accused was charged with on January 12, Y0. On January...

Judging types (J) tend to intermix work and play. Group of answer choices True False

Patrick Corporation acquired 100 percent of O'Brien Company's outstanding common stock on January 1 for $617,000 in cash. O'Brien reported net assets with a carrying amount of $351,000 at that time....

The following reactions take place in the reactor where acetylene is produced from methane. 24 22 + 3 2 22 2 () + 2 Methane enters the reactor at a temperature of 1500C and a flow rate of 10 mol/s....

Data 9.2 on page 540 introduces the dataset Cereal, which includes information on the number of grams of fiber in a serving for 30 different breakfast cereals. The cereals come from three different...

Calculate and check your answer by listing all the selections of size 2 that can be made from the letters a, b, c, d, e, and f. (9)

(a) Give a recursive definition for the intersection of the sets A1, A2, . . . , An, An+1 U, n > 1. (b) Use the result in part (a) to show that for all n, r Z+ with n > 3 and 1

A pair of dice, one red and the other green, is rolled six times. We know that the ordered pairs (1, 1), (1, 5), (2, 4), (3, 6), (4, 2), (4, 4), (5, 1), and (5, 5) did not come up. What is the...

Solve the following equations. 29-4y=2y-7

Solve each of the following pairs of equations. Verify your solution G - h = 17

Solve each of the following pairs of equations to three-figure accuracy. d=3c-500 0.7c+0.2d=550