Q1: Find time complexity of the following function? Function(n): i=n While i> 1 j= i While (j

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
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Q1: Find time complexity of the following function?
Function(n):
i=n
While i> 1
j= i
While (j<n)
j = 2 * j
i--
Transcribed Image Text:Q1: Find time complexity of the following function? Function(n): i=n While i> 1 j= i While (j<n) j = 2 * j i--
Expert Solution
Step 1

Time complexity is depends on the number of loops and how many times each loop is executing. In the given code, it contains 2 while loop.

The outer while loop executes n times and the inner while loop executes log n + log (n-1)+ log (n-2) +----+ log 3+ log 2

=log (n*(n-1)*(n-2)*----*2)

=log n!

 

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