If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on some inputs? 2. If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on all inputs?

If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on some inputs? 2. If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on all inputs?

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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Question

1. If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on some inputs?

2. If I prove that an algorithm takes Θ(n2) worst-case time, is it possible that it takes O(n) on all inputs?

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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