1. Algorithms A and B have the following time complexities: Case1: A: T(n) = n+ 7 log,n , B: T(n) = 2n Case2: A: T(n) = n² + 100, B: T(n) = n + 1000 Case3: A: T(n) = 7 log, (n + 10), B: T(n) = n log,n Do A and B have the same running time 0 in each case? Please list their running time.

1. Algorithms A and B have the following time complexities: Case1: A: T(n) = n+ 7 log,n , B: T(n) = 2n Case2: A: T(n) = n² + 100, B: T(n) = n + 1000 Case3: A: T(n) = 7 log, (n + 10), B: T(n) = n log,n Do A and B have the same running time 0 in each case? Please list their running time.

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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Please answer the question in the screenshot. Please give full reasoning for the solution.

1. Algorithms A and B have the following time complexities:
Case1: A: T(n) = n + 7 log,n , B: T(n) = 2n
Case2: A: T(n) = n² + 100, B: T(n) = n + 1000
Case3: A: T(n) = 7 log, (n + 10), B: T(n) = n log,n
Do A and B have the same running time 0 in each case? Please list their running time.

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