Business Driven Technology
7th Edition
ISBN: 9781259567322
Author: Paige Baltzan Instructor
Publisher: McGraw-Hill Education
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Chapter 11, Problem 7RQ
Program Plan Intro
Employee relationship management (ERM):
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Suppose that the MinGap method below is added to the Treap class on Blackboard.
public int MinGap( )
Returns the absolute difference between the two closest numbers in the treap. For example, if the
numbers are {2, 5, 7, 11, 12, 15, 20} then MinGap would returns 1, the absolute difference between 11
and 12.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an time complexity of O(1) for the MinGap method. Show as well that the methods Add and
Remove can efficiently maintain this data as items are added and removed. (6 marks)
2. Re-implement the methods Add and Remove of the Treap class to maintain the augmented data in
expected O(log n) time. (6 marks)
3. Implement the MinGap method. (4 marks)
4. Test your new method thoroughly. Include your test cases and results in a Test Document. (4 marks)
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