Answered: 4.5-3 Use the master method to show…

4.5-3 Use the master method to show that the solution to the binary-search recurrence T(n) = T(n/2) + (1) is T(n) = O(lgn). (See Exercise 2.3-5 for a description of binary search.)

Database System Concepts

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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

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

4.5-3
Use the master method to show that the solution to the binary-search recurrence
T(n) = T(n/2) + ©(1) is T(n) = O(lgn). (See Exercise 2.3-5 for a description
of binary search.)

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