“ANY” operator: The operator “ANY” is used with “WHERE” or “HAVING” clause. If “ANY” operator is used in a subquery, then the condition returns true if it satisfies any of the values produced by the subquery. Syntax: SELECT column_Name(s) FROM table_Name WHERE column_Name ANY (SELECT column_Name FROM table_Name WHERE condition);

Question

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)

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Chapter 5, Problem 15CAT

Program Plan Intro

“ANY” operator:

The operator “ANY” is used with “WHERE” or “HAVING” clause. If “ANY” operator is used in a subquery, then the condition returns true if it satisfies any of the values produced by the subquery.

Syntax:

SELECT column_Name(s) FROM table_Name WHERE column_Name ANY (SELECT column_Name FROM table_Name WHERE condition);

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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)

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