WHERE Statement: “WHERE” statement is used limit the number of rows. For example: Consider a table “FTable” that has two columns named “FruitName” and “Color”. “WHERE” clause is used when there is a need to display the entire FruitName whose color is Red. SELECT * FROM FTable WHERE color = 'red'; When the above statement is executed, red colored fruits get displayed. ORDER BY Clause: SQL contains “GROUP BY” clause in order to sort rows. The values get sorted in ascending as well as descending order. The keyword used to sort values in ascending order is “ASC” and for descending order is “DESC”. By default, it sorts values by ascending order. Syntax: SELECT column_Name1, column_Name2 FROM table_Name ORDER BY column_Name2;

Question

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)

Answer 1

Question

Chapter 7, Problem 123C

Program Plan Intro

WHERE Statement:

“WHERE” statement is used limit the number of rows. For example: Consider a table “FTable” that has two columns named “FruitName” and “Color”. “WHERE” clause is used when there is a need to display the entire FruitName whose color is Red.

SELECT * FROM FTable WHERE color = 'red';

When the above statement is executed, red colored fruits get displayed.

ORDER BY Clause:

SQL contains “GROUP BY” clause in order to sort rows. The values get sorted in ascending as well as descending order. The keyword used to sort values in ascending order is “ASC” and for descending order is “DESC”. By default, it sorts values by ascending order.

Syntax:

SELECT column_Name1, column_Name2 FROM table_Name ORDER BY column_Name2;

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