Answered: 3. I: II T(n) = 27)+n², then T(n) =…

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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3. I: II T(n) = 27)+n², then T(n) = O(nlogn). II: If T(n) = ! 27()+nlogn, then T(n) = O(nlogn). III: If T(n) = 2T(√) + logn, then T(n) = O(logn log n). (A) Only I is TRUE. (B) Only II is TRUE. (C) Only III is TRUE. (D)All of LII and III are TRUE.

4. (a) 5%Show that the lower bound for the sorting problem is (nlogn).

(b) 3% The least signifcant digit first RadixSort sorts n numbers in O(n) and it beats the (nlogn) lower bound. What went wrong?

(d) 4% Show that finding the convex hull of n points in 2D space needs at least (nlogn) time.

(e) 3% Show that finding the convex hull of n points in 3D spaceneeds at least (nlogn) time.

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