Assume t is a completely balanced Binary Tree with n nodes, or def f(t: Union [BinaryTree, None]): if tis None: return 0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Question 7 of a and b please solve 

Question 7.
Part (a)
Assume t is a completely balanced Binary Tree with n nodes, or it's None.
def f(t: Union [BinaryTree, None]):
if tis None:
return 0
return f(t.left) + 1
Circle the complexity class that best characterizes the run-time of the function f and briefly justify your
choice.
(1)
f (1) = 0.06 seconds
f(2)= 0.12 seconds
f(3) = 0.24 seconds
f (4) 0.48 seconds
Ⓒ(lg n)
Part (b)
We've measured the following runtimes for the function f(n):
(1)
Ⓒ(n)
Ⓒ (lg n)
Circle the complexity class that best characterizes the run-time of the function f and briefly justify your
choice.
©(n²)
e(n)
Ⓒ (2¹)
(n²)
(2¹¹)
Transcribed Image Text:Question 7. Part (a) Assume t is a completely balanced Binary Tree with n nodes, or it's None. def f(t: Union [BinaryTree, None]): if tis None: return 0 return f(t.left) + 1 Circle the complexity class that best characterizes the run-time of the function f and briefly justify your choice. (1) f (1) = 0.06 seconds f(2)= 0.12 seconds f(3) = 0.24 seconds f (4) 0.48 seconds Ⓒ(lg n) Part (b) We've measured the following runtimes for the function f(n): (1) Ⓒ(n) Ⓒ (lg n) Circle the complexity class that best characterizes the run-time of the function f and briefly justify your choice. ©(n²) e(n) Ⓒ (2¹) (n²) (2¹¹)
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