Answered: 1 v def func (x, y=[1]): 2 v if x <= 1:…

1 v def func (x, y=[1]): 2 v if x <= 1: 3 return y y_2 = [y[integer] + y[integer+1] for integer in range (len(y)-1)] return function(x-1, [1] + y_2 + [1]) 4 5

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 8SA

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Concept explainers

Declaring and Defining the function

A set of statements, which performs a particular task is called a function. The program gains modularity by using function. The application is quite easy to understand, read, and edit when they are created with functions. The developer/programmer creates a function and uses main() to call the function. Once the function gets executed, the control is transferred to the main program.

Question

Given the following code snippet, find the following:
1) Recurrence relation of func (x,y) when x>0 and length of y is n. Express in the form below:
T(x,n) = T(?) + O(?)

For 2-3, consider worst-case scenario and initial value of y as [1]
2) Time complexity of func (x,y)
3) Space Complexity and Auxiliary Space Complexity of func (x,y)

1 v def func (x, y=[1]):
2 v
if x <= 1:
3
return y
y_2 = [y[integer] + y[integer+1] for integer in range (len(y)-1)]
return function(x-1, [1] + y_2 + [1])
4
5

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