Determine Big O for the following recurrence relations using the Master Theorem if applicable, otherwise use Repeated Substitution. Show your work. Simplify the answer. a) T(n) = 1 T(n) = 9T(n/3) + n b) T(n) = 1 T(n) = 2T(n - 1) + 1     Master Theorem when n=1 when n>1 when n=1 when n>1 For T(n) = A T(n/B) + O(nk) where A 3 1, B > 1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Determine Big O for the following recurrence relations using the Master Theorem if applicable, otherwise use Repeated Substitution. Show your work. Simplify the answer.

a) T(n) = 1
T(n) = 9T(n/3) + n

b) T(n) = 1
T(n) = 2T(n - 1) + 1

 

 

Master Theorem

when n=1 when n>1

when n=1 when n>1

For T(n) = A T(n/B) + O(nk) where A 3 1, B > 1

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