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Chapter 20.7, Problem 20.7.1CP

Are all the methods in the Collections class static?

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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 20 Solutions

MyLab Programming with Pearson eText -- Access Card -- for Introduction to Java Programming and Data Structures, Comprehensive Version

Ch. 20.4 - Prob. 20.4.2CPCh. 20.5 - Prob. 20.5.1CPCh. 20.5 - Suppose list1 is a list that contains the strings...Ch. 20.5 - Prob. 20.5.3CPCh. 20.5 - Prob. 20.5.4CPCh. 20.5 - Prob. 20.5.5CPCh. 20.6 - Prob. 20.6.1CPCh. 20.6 - Prob. 20.6.2CPCh. 20.6 - Write a lambda expression to create a comparator...Ch. 20.6 - Prob. 20.6.4CPCh. 20.6 - Write a statement that sorts an array of Point2D...Ch. 20.6 - Write a statement that sorts an ArrayList of...Ch. 20.6 - Write a statement that sorts a two-dimensional...Ch. 20.6 - Write a statement that sorts a two-dimensional...Ch. 20.7 - Are all the methods in the Collections class...Ch. 20.7 - Prob. 20.7.2CPCh. 20.7 - Show the output of the following code: import...Ch. 20.7 - Prob. 20.7.4CPCh. 20.7 - Prob. 20.7.5CPCh. 20.7 - Prob. 20.7.6CPCh. 20.8 - Prob. 20.8.1CPCh. 20.8 - Prob. 20.8.2CPCh. 20.8 - Prob. 20.8.3CPCh. 20.9 - How do you create an instance of Vector? How do...Ch. 20.9 - How do you create an instance of Stack? How do you...Ch. 20.9 - Prob. 20.9.3CPCh. 20.10 - Prob. 20.10.1CPCh. 20.10 - Prob. 20.10.2CPCh. 20.10 - Prob. 20.10.3CPCh. 20.11 - Can the EvaluateExpression program evaluate the...Ch. 20.11 - Prob. 20.11.2CPCh. 20.11 - If you enter an expression "4 + 5 5 5", the...Ch. 20 - (Display words in ascending alphabetical order)...Ch. 20 - (Store numbers in a linked list) Write a program...Ch. 20 - (Guessing the capitals) Rewrite Programming...Ch. 20 - (Sort points in a plane) Write a program that...Ch. 20 - (Combine colliding bouncing balls) The example in...Ch. 20 - (Game: lottery) Revise Programming Exercise 3.15...Ch. 20 - Prob. 20.9PECh. 20 - Prob. 20.10PECh. 20 - (Match grouping symbols) A Java program contains...Ch. 20 - Prob. 20.12PECh. 20 - Prob. 20.14PECh. 20 - Prob. 20.16PECh. 20 - (Directory size) Listing 18.10,...Ch. 20 - Prob. 20.20PECh. 20 - (Nonrecursive Tower of Hanoi) Implement the...Ch. 20 - Evaluate expression Modify Listing 20.12,...

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