ORTANT: The penalty scheme for this question is 50, 100%. ect one: a. Time complexity = O(n) b. Time complexity = O(n^2) c. Time complexity = O(2n) d. Time complexity = O(log n) e. Time complexity = O(n log n) heck

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
Section: Chapter Questions
Problem 1PE
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For the following function, select the most appropriate time complexity in terms of n:
def rate(n):
i = 0
total = 0
while in:
j= n
while j > 1:
total + j
j // = 2
i += 1
return total
IMPORTANT: The penalty scheme for this question is 50, 100%.
Select one:
O a. Time complexity = O(n)
O b.
Time complexity = O(n^2)
O c.
Time complexity = O(2n)
O d.
Time complexity = O(log n)
e. Time complexity = O(n log n)
Check
Transcribed Image Text:For the following function, select the most appropriate time complexity in terms of n: def rate(n): i = 0 total = 0 while in: j= n while j > 1: total + j j // = 2 i += 1 return total IMPORTANT: The penalty scheme for this question is 50, 100%. Select one: O a. Time complexity = O(n) O b. Time complexity = O(n^2) O c. Time complexity = O(2n) O d. Time complexity = O(log n) e. Time complexity = O(n log n) Check
Expert Solution
Step 1

Solution - The correct option of the above code is b i.e the code run with the complexity of O(n^2).

As the i loop equals to 0 so total also = 0,

while i<n ;j=n here the complexity run with O(n)

Next coming to while j>1 ; total with increment equals to 1

It runs for n times and linear increment its complexity is O(n).

It is also rub for every i loop so its complexity is O(n2).

Time complexity = O(n2).

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