Calculate time complexity using amortized analysis
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
Related questions
Question
Calculate time complexity using amortized analysis

Transcribed Image Text:Please calculate the time complexity of below pseudocode.
for (i=1; i<n; i++)
{
for (j-0; j<n; j=j+5)
if (j mod i == 0)
do operation n² times
else
do operation 2 times
}
}
Expert Solution

Step 1
Amortized analysis:
- Amortized Analysis is utilized in algorithms when one operation is relatively slow but the majority of all the other operations are much quicker.
- Programmers use Amortized Analysis to examine a sequence of processes and ensure a worst-case average time that is less than the worst-case time of a, particularly costly activity.
- Amortized complexity analysis is most often used for data structures having persistent states between actions.
- The underlying notion is that a costly operation might change the situation so that the worst-case scenario cannot occur again for a long period, thus amortizing its cost.
Step by step
Solved in 2 steps

Recommended textbooks for you

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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education