Discovering Computers ©2016 (Shelly Cashman Series) (MindTap Course List)
1st Edition
ISBN: 9781305391857
Author: Misty E. Vermaat, Susan L. Sebok, Steven M. Freund, Jennifer T. Campbell, Mark Frydenberg
Publisher: Cengage Learning
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Chapter 10, Problem 25CT
Program Plan Intro
Fiber optic cable:
- The wire is made up of ultra-thin filaments of glass or plastic material which is as thin as human hair and it can carry beam of light.
- The glass fiber is covered with aramid yarn and plastic covered strongly over it.
- Fiber optic cable is light based, which can carry information optically at the speed of light.
- The cable can carry more data than other cables because of its greater bandwidth than other cables.
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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)
Suppose that the two Rank methods below are added to the Skip List class on Blackboard.
public int Rank (T item)
Returns the rank of the given item.
public T Rank(int i)
Returns the item with the given rank i.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the
methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7
marks)
2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in
expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks)
3. Implement the two Rank methods. (8 marks)
4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)
Suppose that the two Rank methods below are added to the Skip List class on Blackboard.
public int Rank (T item)
Returns the rank of the given item.
public T Rank(int i)
Returns the item with the given rank i.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the
methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7
marks)
2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in
expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks)
3. Implement the two Rank methods. (8 marks)
4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)
Chapter 10 Solutions
Discovering Computers ©2016 (Shelly Cashman Series) (MindTap Course List)
Ch. 10 - Prob. 1SGCh. 10 - Prob. 2SGCh. 10 - Prob. 3SGCh. 10 - Prob. 4SGCh. 10 - Prob. 5SGCh. 10 - Prob. 6SGCh. 10 - Prob. 7SGCh. 10 - Prob. 8SGCh. 10 - Prob. 9SGCh. 10 - Prob. 10SG
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