Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 4, Problem 2R

Explanation of Solution

Determine n0:

As it is given that the number of operations executed by the algorithm A is “8nlogn ” and for algorithm “B” is 2n2 .

  • From the given data, it is clear that the algorithm start out with “A” as higher and after that while crossing in some point it makes the algorithm B as higher.
  • So, it is required to determine the point where they cross and for that let us equate the above two equations.

8nlogn=2n24nlogn=n2(Simply the above expression by dividing both equations by 2)4 logn=n(Cancel<

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