Normalization: The process used to minimize data redundancy and dependency in a relational database is known as normalization. The database table is divided into two or more tables and defines the relationship between those tables. Second normal form (2NF): The value of all non-primary key attributes should be dependent on the primary key attribute. If any attribute is depending on the partial primary key then it should determine the other attributes for an instance of the entity. The partial dependencies should be removed from the data model. Third normal form (3NF): The value of any non-primary key attributes will not depend on any other non-primary key attributes. If any non-primary key attributes depend on any other non-primary key attribute then it should be moved or deleted. It is termed as transitive dependency. Partial dependency: A partial dependency exists at that time of an attributes depends only a part of primary key. This dependency is related with 1 st normal form. Transitive dependency: A transitive dependency exists at that time of an attributes depends on another attribute which is not part of primary key. Functional dependency: An association between two attributes or two set of attributes in a same relational database table, which is having some constraints is known as functional dependency. In a table one attribute is functionally dependent on another attribute to take one value.

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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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Question

Chapter 6, Problem 2P

Program Plan Intro

Normalization:

The process used to minimize data redundancy and dependency in a relational database is known as normalization. The database table is divided into two or more tables and defines the relationship between those tables.

Second normal form (2NF):

The value of all non-primary key attributes should be dependent on the primary key attribute.

If any attribute is depending on the partial primary key then it should determine the other attributes for an instance of the entity.

The partial dependencies should be removed from the data model.

Third normal form (3NF):

The value of any non-primary key attributes will not depend on any other non-primary key attributes.

If any non-primary key attributes depend on any other non-primary key attribute then it should be moved or deleted.

It is termed as transitive dependency.

Partial dependency:

A partial dependency exists at that time of an attributes depends only a part of primary key. This dependency is related with 1^st normal form.

Transitive dependency:

A transitive dependency exists at that time of an attributes depends on another attribute which is not part of primary key.

Functional dependency:

An association between two attributes or two set of attributes in a same relational database table, which is having some constraints is known as functional dependency.

In a table one attribute is functionally dependent on another attribute to take one value.

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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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