Question

2. Ackermann's Function is a recursive mathematical algorithm that can be used to test how well a system optimizes its performance of recursion. In a Python file L9q2.py, write a recursive method, ackerman (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)) Sample Output 1: 1. 25 Enter an integer value for m: 0 2. Enter an integer value for n: 3 3. Ackermann (0,3) = 4 Sample Output 2: 1. Enter an integer value for m: 2 2. Enter an integer value for n: 0 3. Ackermann (2,0) = 3 Sample Output 3: 1. Enter an integer value for m: 2 2. Enter an integer value for n: 3 3. Ackermann (2,3) = 9 Sample Output 4: 1. Enter an integer value for m: 3 2. Enter an integer value for n: 4 3. Ackermann (3,4) = 125

Answer 1

The python program is an implementation of the Ackermann function that a system optimizes its performance of recursion.

As per the question,

Here is an implementation of the Ackermann function in Python:

def ackermann(m, n):

   if m == 0:

       return n + 1

   elif n == 0:

       return ackermann(m - 1, 1)

   else:

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

# get input values for m and n from the user

m = int(input("Enter an integer value for m: "))

n = int(input("Enter an integer value for n: "))

# calculate and print the result of the Ackermann function

result = ackermann(m, n)

print("Ackermann ({},{}) = {}".format(m, n, result))

This implementation follows the logic described in the prompt, using a recursive function to calculate the result of the Ackermann function for the given values of m and n.

To learn more about the Python Program click here:

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