4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following function: ALG3(n): count 0 for i 0,...,n for j 1,..,2 count := count +1 return count (a) Give big-O estimates for the mumber of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an ezact formula for the return value count, and then simplify it using big-O notation. (Hint: you might need the formula for the sum of a geometric series.) Is this better than your answer in part (a)?

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
icon
Related questions
Question
100%
Im having hard times determining the big(0) of this nested loop
4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following
function:
ALG3(m):
count : 0
for i 0,...,n
for j= 1,...,2
count := count +1
%3D
return count
(a) Give big-O estimates for the mumber of iterations of each loop, and use those
estimates to give a big-O estimate for the return value count.
(b) Give an ezact formula for the return value count, and then simplify it using big-O
notation. (Hint: you might need the formula for the sum of a geometric series.)
Is this better than your answer in part (a)?
Transcribed Image Text:4 In rare cases, it's not such a great idea to "Tound prematurely." Consider the following function: ALG3(m): count : 0 for i 0,...,n for j= 1,...,2 count := count +1 %3D return count (a) Give big-O estimates for the mumber of iterations of each loop, and use those estimates to give a big-O estimate for the return value count. (b) Give an ezact formula for the return value count, and then simplify it using big-O notation. (Hint: you might need the formula for the sum of a geometric series.) Is this better than your answer in part (a)?
Expert Solution
Step 1

We need to find the time complexity of the given code.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Matrix multiplication
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education