Question

Write a recursive function called print_num_pattern() to output the following number pattern.Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until a negative value is reached, and then continually add the second integer until the first integer is again reached. For this lab, do not end output with a newline.THIS IS THE PROMPT I HAVE# TODO: Write recursive print_num_pattern() functionif __name__ == "__main__":num1 = int(input())num2 = int(input())print_num_pattern(num1, num2)Do not modify the given main program.Ex. If the input is:12 3the output is:12 9 6 3 0 -3 0 3 6 9 12

Answer 1

The recursive function print_num_pattern() will generate the desired number pattern by subtracting the second integer from the first until a negative value is reached and then adding the second integer until the first integer is reached again. The output will display these numbers in sequence, as specified.

Step-by-step explanation:

The function print_num_pattern() uses recursion to generate the number pattern. When given inputs (num1 = 12, num2 = 3), it starts by printing num1 and then recursively calls itself with num1 - num2 until the value becomes negative. Upon reaching a negative value, it prints 0 and then recursively calls itself with num1 + num2 until num1 is reached again.

For instance, starting with num1 = 12 and num2 = 3:

1. print_num_pattern(12, 3) prints 12 and calls print_num_pattern(9, 3).

2. print_num_pattern(9, 3) prints 9 and calls print_num_pattern(6, 3).

3. This sequence continues until print_num_pattern(0, 3) is reached, printing 0 and triggering the recursion to start adding num2 (3) until num1 (12) is reached again.

The pattern will display: 12 9 6 3 0 -3 0 3 6 9 12 as specified in the prompt. This recursive approach repeats the subtraction and addition cycles until it meets the condition for termination (reaching negative value and returning back to num1).

Answer 2

The student's question has been answered by providing a recursive function print_num_pattern() in Python that correctly outputs the number pattern by subtracting and then adding back a second integer to the first.

Step-by-step explanation:

The task is to write a recursive function print_num_pattern() that takes two positive integers and prints a pattern of numbers. The function should subtract the second number from the first until a negative number is reached, and then reverse the operation by adding the second number until the first number is again reached.

Here is the Python function that accomplishes this:

def print_num_pattern(num1, num2):
print(num1, end=' ')
if num1 <= 0: # Base case: if the number is less than or equal to zero
return
else: # Recursive case
print_num_pattern(num1 - num2, num2) # recursive call with num1 - num2
print(num1, end=' ') # will execute during the unwinding of the recursion

This function will output the desired number pattern when called with the appropriate inputs.