Sort all the function below in increasing order of asymptotic big-O growth. 5n 5n 1³1 3n³ log₂log₂n log₂2 55" log₂ n

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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Sort all the function below in increasing order of asymptotic big-O growth.
       ??    ??     ???    ?????????   ?????     ???    ???? ?

Sort all the function below in increasing order of asymptotic big-O growth.
5n
5n
3n3
log₂log₂n
log₂2
55"
log₂ n
Transcribed Image Text:Sort all the function below in increasing order of asymptotic big-O growth. 5n 5n 3n3 log₂log₂n log₂2 55" log₂ n
Expert Solution
Step 1: Introduction:

Big-O notation expresses the upper bound of the growth rate of an algorithm's resource usage. It allows us to classify algorithms into categories based on their efficiency. For example:

  • (constant time) means the algorithm's performance doesn't depend on the input size. It's very efficient.

  • (logarithmic time) means the algorithm's performance grows slowly as the input size increases. It's also efficient and often seen in divide-and-conquer algorithms.

  • (linear time) implies that the algorithm's performance is directly proportional to the input size. It's less efficient than logarithmic time

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