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a) Explain the Master Theorem in detail. b) Consider the recurrence relations 1-4 shown

a) Explain the Master Theorem in detail. b) Consider the recurrence relations 1-4 shown

Database System Concepts
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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a) Explain the Master Theorem in detail. 

b) Consider the recurrence relations 1-4 shown in the screenshot below and apply the Master Theorem to express the time complexity in Big-O expression. Please explain in detail. 

 

1. T(n)=T(n/2)+ O(n) 2. T(n)= 2T(n/2)+ 2nlogn 3. T(n)=T(n/2)+ 45 4. T(n)=5T(n/5)+ O(1)
Transcribed Image Text:1. T(n)=T(n/2)+ O(n) 2. T(n)= 2T(n/2)+ 2nlogn 3. T(n)=T(n/2)+ 45 4. T(n)=5T(n/5)+ O(1)
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