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.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 17PE

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Question

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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