Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 63P
Program Plan Intro

Running time of “unique1” and “unique2” algorithms:

As referred to the code fragment 4.7 shows the algorithm for “unique1” and code fragment 4.8 shows the algorithm for “unique2” in the textbook.

  • Both these algorithms solve the element uniqueness problem. But the running time of algorithm varies between them.
  • The algorithm for “unique1” solves the uniqueness by comparing all the distinct pairs. It uses two nested for loop to find out the duplicates.
  • So, it takes the worst-case running time of O(n2) to return the unique elements.
  • The algorithm of “unique2” solves the uniqueness by placing the duplicate element next to each other.
  • It includes a single pass on the array to sort the consecutive duplicates. It takes the worst-case running time of O(nlogn) time.

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Data Structures and Algorithms in Java

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