Compute big-oh of the given T(n) using the specified methods: Iteration Method: T(n) = 8T(n/2) + n2                                 where T(1) = 1, no=1 T(n) = 7T(n/2) + n2 T(n) = 4T(n/2) + n3. Recursion Tree Method: T(n) = 3T(n/2) +n   T(n) = 2T(n-1) + 1 Master Method T(n) = 2T(n/4) +1 T(n) = 2T(n/4) +n T(n) = 2T(n/4) +√n T(n) = 2T(n/4) +n2

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
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Question # 01:                                                                                 

Compute big-oh of the given T(n) using the specified methods:

Iteration Method:

  1. T(n) = 8T(n/2) + n2                                 where T(1) = 1, no=1
  2. T(n) = 7T(n/2) + n2 T(n) = 4T(n/2) + n3.

Recursion Tree Method:

  1. T(n) = 3T(n/2) +n  
  2. T(n) = 2T(n-1) + 1

Master Method

  1. T(n) = 2T(n/4) +1
  2. T(n) = 2T(n/4) +n
  3. T(n) = 2T(n/4) +√n
  4. T(n) = 2T(n/4) +n2
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