Question 1) Is 2"+1 = 0(2¹)? Question 2) Is 2²n = 0(2¹)? Question 3) Explain why the statement, “The running time of algorithm A is at least 0(n²)" is meaningless.

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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Please explain Q 1 & 2. Thank you.

Question 1)
Is 2"+1
=
Is 2
Question 2)
2n
0(2¹)?
=
0(2¹)?
Question 3)
Explain why the statement, “The running time of algorithm A is at least 0(n²)" is
meaningless.
Transcribed Image Text:Question 1) Is 2"+1 = Is 2 Question 2) 2n 0(2¹)? = 0(2¹)? Question 3) Explain why the statement, “The running time of algorithm A is at least 0(n²)" is meaningless.
Expert Solution
Introduction :-

NOTE  :-  Below i explain the answer in my own words by which you understand it well.

 

  • O(f(n2)) and (n2) are frequently misunderstood. The former indicates that the running time is quadratic at most, while the latter indicates that it is quadratic. "The running time of algorithm A is at least (n2)" was probably what you meant to say. This indicates that A runs slower or in quadratic time.

 

  • To put it another way, the arithmetic expression "The value of x is at least less than 10" is analogous to the statement in the question.
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