3- If an input for Merge-sort is a sorted list, then the recursive function can be written as\[ W(n) = 2 \cdot W(n/2) + n/2 \]Write \( W(n) \) as a function on \( n \) (do not solve for the constants).

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3- If an input for Merge-sort is a sorted list, then the recursive function can be written as as W(n)=2 W(n/2) + n/2 Write W(n) as a function on n (do not solve for the constants).

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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Concept explainers

Randomized Select Algorithm

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity, space complexity in the standard algorithm. The randomized algorithm uses the concept of random numbers to find the solutions to the different kinds of problems and also to improve the problem solutions.

Question

3- If an input for Merge-sort is a sorted list, then the recursive function can be written as

\[ W(n) = 2 \cdot W(n/2) + n/2 \]

Write \( W(n) \) as a function on \( n \) (do not solve for the constants).

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