Ex. 3 algorithms as n → o. Each algorithm takes a natural number n as input. Write down the time that each loop requires, the equation describing the overall complexity, and the final result (e.g. T(n) = 5n +2n2 = O(n²)). What is the time complexity, in terms of O notation, of the following Algorithm 1 i = 1 while i < 4n³ i = i+2 4 i = 2vi 1 3 5 while i > 5 for j = i to i + 10 i = i – 1 8 for i = 1 to log n2 for j = 1 to n · i %3D 9. %3D 10 x = 0

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
Ex. 3
What is the time complexity, in terms of O notation, of the following
algorithms as n → 0. Each algorithm takes a natural number n as input. Write down
the time that each loop requires, the equation describing the overall complexity, and
the final result (e.g. T(n) = 5n + 2n? = 0(n²)).
Algorithm 1
1 i = 1
2 while i < 4n³
i = i +2
2Vi
3
4
i
5 while i > 5
for j = i to i + 10
i — і — 1
6.
7
1 to log n2
for j = 1 to n· i
8 for i
9.
10
x = 0
Transcribed Image Text:Ex. 3 What is the time complexity, in terms of O notation, of the following algorithms as n → 0. Each algorithm takes a natural number n as input. Write down the time that each loop requires, the equation describing the overall complexity, and the final result (e.g. T(n) = 5n + 2n? = 0(n²)). Algorithm 1 1 i = 1 2 while i < 4n³ i = i +2 2Vi 3 4 i 5 while i > 5 for j = i to i + 10 i — і — 1 6. 7 1 to log n2 for j = 1 to n· i 8 for i 9. 10 x = 0
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Asymptotic Analysis
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.
Similar questions
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