What is the complexity of T(n)=4T(n/2)+n (choose one from the next 1-4): 1. (n³) 2. (n²) 3. O(nlgn) 4. None of the above Master theorem T(n)=aT(n/b)+f(n) Case 1: O(ng(a)), g(a)=logba, if f(n)= O(ng(n)-e), ε<1 Case 2: (n²(a)Ign), g(a)=logba, if f(n)= O(n²(n) Case 3: (f(n)), if f(n)= (ng(n)+), g(a)=logba, >0 and r.c a*f(n/b)
What is the complexity of T(n)=4T(n/2)+n (choose one from the next 1-4): 1. (n³) 2. (n²) 3. O(nlgn) 4. None of the above Master theorem T(n)=aT(n/b)+f(n) Case 1: O(ng(a)), g(a)=logba, if f(n)= O(ng(n)-e), ε<1 Case 2: (n²(a)Ign), g(a)=logba, if f(n)= O(n²(n) Case 3: (f(n)), if f(n)= (ng(n)+), g(a)=logba, >0 and r.c a*f(n/b)
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
How can I identify which case to use? Such that after knowing which case to use, how to use that case to find the complexity running time?
![What is the complexity of T(n)=4T(n/2)+n (choose one from the next 1-4):
1. (n³)
2. O(n²)
3. O(nlgn)
4. None of the above
Master theorem
T(n)=aT(n/b)+f(n)
Case 1: (ng(a)), g(a)=logba, if f(n)= O(ng(n)-e), ε<1
Case 2: (nº(a)Ign), g(a)=logba, if f(n)= O(n²(n))
Case 3: O(f(n)), if f(n)= (n²(n)+), g(a)=logba, >0 and r.c a*f(n/b)<c f(n) where c<1
O 2
O
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F346b36e0-a4d8-47d7-8bd1-1ad776cb1cf3%2Fb7f09eb8-7363-4f5d-9569-5650ec094676%2Fz6xot6_processed.png&w=3840&q=75)
Transcribed Image Text:What is the complexity of T(n)=4T(n/2)+n (choose one from the next 1-4):
1. (n³)
2. O(n²)
3. O(nlgn)
4. None of the above
Master theorem
T(n)=aT(n/b)+f(n)
Case 1: (ng(a)), g(a)=logba, if f(n)= O(ng(n)-e), ε<1
Case 2: (nº(a)Ign), g(a)=logba, if f(n)= O(n²(n))
Case 3: O(f(n)), if f(n)= (n²(n)+), g(a)=logba, >0 and r.c a*f(n/b)<c f(n) where c<1
O 2
O
1
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
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)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
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)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![C How to Program (8th Edition)](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
![Database Systems: Design, Implementation, & Manag…](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education