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 10SG
Explanation of Solution
Peer-to-peer network:
Peer-to-peer network architecture is an inexpensive network in which nodes operate as both supplier and consumer of the resources.
- In a peer-to-peer network, fewer than 10 computers will be connected; all the computers in the network will be identical.
- A computer or mobile device in the network is termed as a peer.
- Each peer in the network has equal capabilities and responsibilities such as sharing resources and data.
- Diagrammatic representation of peer-to-peer network is shown below:
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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
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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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