. Explain Master Theorem .Using Master Theorem solved the following recurrence.(2 Mark)relationf) T(n)= 3T(n/3) + √n

Answered: Explain Master Theorem .Using Master…

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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Question

. Explain Master Theorem .Using Master Theorem solved the following recurrence.
(2 Mark)
relation
f) T(n)= 3T(n/3) + √n

Expert Solution

Explanation

Here are some rules for the master theorem .

For the master theorem use in solving the recurrence equations there is always the need that the equation should be in the compatible form of the master theorem .

If the equation does not follow the rule then it cannot be solved using the master theorem. Check the format in the solution below .

In the master theorem the equation can be solved in one attempt only .

Check the solution in the second step .

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