Homework 06
Shape Tree

Due 04/04/2025 at 11:55PM

Objective:

Write a program where a user can maintain a collection of shapes that are organized by their area using a binary search tree data structure. The program must be able to add/remove shapes, read/write to shape files, search for shapes, and perform a variety of other operations.

Requirements:

• Functionality. (80pts)
• No Syntax, Major Run-Time, or Major Logic Errors. (80pts*)
• *Code that cannot be compiled due to syntax errors is nonfunctional code and will receive no points for this entire section.
• *Code that cannot be executed or tested due to major run-time or logic errors is nonfunctional code and will receive no points for this entire section.
• Use only a Binary Search Tree of your own creation. (80pts*)
• *Other Java built-in types ArrayLists, LinkedLists, Queues, etc will receive no points for this entire section.
• You may add, remove, or modify functionality in your generic Binary Search Tree.
• HINT: It also valid to create a specific binary search tree instead of using the generic version. In other words, a Binary Search Tree specifically for Shapes and nothing else.
• Clear and Easy-To-Use Interface. (10pts)
• Users should easily understand what the program does and how to use it.
• Users should be prompted for input and should be able to enter data easily.
• Users should be presented with output after major functions, operations, or calculations.
• Users should be able to perform any number of the required functions. In addition, users should be able to choose when to terminate the program.
• Users must be able to easily add shapes, remove shapes, search for a shape, find the shape with the maximum area, remove all shapes greater than a certain area, read from a shape file, or write to a shape file.
• The user must also be able to print the data to the console by specifying either Pre-Order, In-Order, or Post-Order traversals.
• All the above must apply for full credit.
• Add a Shape (10pts).
• The program must be able to add new shapes to the tree, and these shapes can either be a Rectangle, Circle, or Right Triangle.
• Depending on the type of shape to be added, the program must prompt the user for the required shape information to calculate its area. For instance, the program must ask the user for a length and width for a rectangle, a base and height for a triangle, and a radius for a circle.
• The shape must then be added to the Shape Tree its location must be determined by its area. If two shapes have the same area, then place it based on the type of shape in the order Circle, then Rectangle, finally Right Triangle. If the area and the type are the same, then do not add the duplicate shape.
• After adding a shape, the structure of the binary search tree must be preserved.
• All must apply for full credit.
• Remove a Shape (10pts).
• The program must be able to remove shapes from the tree.
• Remove is not based on the area but is based on the type of shape and that shape’s information. The user must provide the type of shape and the information related to that type of shape to be removed. For instance, if the user wanted to remove a Rectangle, then they must provide the length and width associated with that rectangle, and similarly if the user wanted to remove a Circle, then they must provide the radius of the circle.
• After removing a shape, the structure of the binary search tree must be preserved.
• All must apply for full credit.
• Search for a Shape (10pts).
• The program must be able to determine, true or false, if a shape is found in the tree.
• The program must use the properties of a binary search tree to do this quickly.
• The user must supply the shape’s information including the type and its properties. For instance, if the user wanted to search for a triangle, then they must specify “Triangle” and then provide its base and height.
• All must apply for full credit.
• Max Area (10pts).
• The program must return the shape that has the maximum area.
• This must use the properties of a binary search tree to quickly determine the shape with the largest area.
• All must apply for full credit.
• Remove Shapes Greater Than (10pts).
• The program must be able to remove all shapes that have areas greater than a specified area.
• The program must use the properties of a binary search tree to do this quickly.
• After this occurs, the binary search tree’s structure must be preserved.
• All must apply for full credit.
• Reading the Shape File. (10pts)
• The program must be able to read a Shape file and have these shapes added to the current shape tree.
• The file format is TAB delimited and always starts with the kind of shape followed by its information. This information is further separated using an END-LINE. For example,

<<Shape Type 00>>\t<<Shape Information 00>>\n
<<Shape Type 01>>\t<<Shape Information 00>>\n

…

<<Shape Type N>>\t<<Shape Information N>>\n

• This does change depending on the type of shape, for example

Rectangle\t<<Length>>\t<<Width>>\n

Circle\t<<Radius>>\n

Right Triangle\t<<Base>>\t<<Height>>\n

• The previous shapes in the tree must remain there, and when these new shapes are added they must preserve the properties of a binary search tree.
• All must apply for full credit.
• Writing the Shape File. (10pts)
• The program must be able to write to a Shape file in the specified format.
• The file format is TAB delimited and always starts with the kind of shape followed by its information. This information is further separated using an END-LINE. For example,

<<Shape Type 00>>\t<<Shape Information 00>>\n
<<Shape Type 01>>\t<<Shape Information 00>>\n

…

<<Shape Type N>>\t<<Shape Information N>>\n

• This does change depending on the type of shape, for example

Rectangle\t<<Length>>\t<<Width>>\n

Circle\t<<Radius>>\n

Right Triangle\t<<Base>>\t<<Height>>\n

• All must apply for full credit.
• Coding Style. (10pts)
• Code functionality organized within multiple methods other than the main method, and methods organized within multiple classes where appropriate. (5pts)
• Readable Code (5pts)
• Meaningful identifiers for data and methods.
• Proper indentation that clearly identifies statements within the body of a class, a method, a branching statement, a loop statement, etc.
• All the above must apply for full credit.
• Comments. (10pts)
• Your name in the file. (5pts)
• At least 5 meaningful comments in addition to your name. These must describe the function of the code it is near. (5pts)

More Notes:

• Area for each shape is assumed to be
• Circle = radius² x PI
• Rectangle = length x width
• Right Triangle = ½ base x height
• Example Shape File

Example Dialog:

*The following Example Dialog demonstrates the interactions between a user and ONE possible implementation of the required software’s front-end / user interface. The software’s front-end / user interface may be implemented in MANY different ways and will receive full credit as long as it meets the most minimal of the above requirements. While you may use the example dialog as a guide, it is strongly encouraged to create the front-end / user interface in your own way. *

Key
Unhighlighted Text	Program’s Output
Highlighted Text	User’s Input

Welcome to the Shape Tree!

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

1

Enter the file's name

shapes.txt

Printing after Reading In-Order

Right Triangle Base: 2.0 Height: 2.0 Area: 2.0

Right Triangle Base: 3.0 Height: 2.0 Area: 3.0

Circle Radius: 2.0 Area: 12.566370614359172

Rectangle Length: 2.0 Width: 7.0 Area: 14.0

Right Triangle Base: 5.0 Height: 6.0 Area: 15.0

Rectangle Length: 9.0 Width: 2.0 Area: 18.0

Rectangle Length: 5.0 Width: 4.0 Area: 20.0

Rectangle Length: 3.0 Width: 8.0 Area: 24.0

Rectangle Length: 5.0 Width: 5.0 Area: 25.0

Right Triangle Base: 9.0 Height: 9.0 Area: 40.5

Circle Radius: 4.0 Area: 50.26548245743669

Circle Radius: 7.0 Area: 153.93804002589985

Circle Radius: 8.0 Area: 201.06192982974676

Circle Radius: 9.0 Area: 254.46900494077323

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

2

Which traversal?

Enter 1. For Pre-order.

Enter 2. For In-order

Enter 3. For Post-order

1

Rectangle Length: 5.0 Width: 4.0 Area: 20.0

Right Triangle Base: 3.0 Height: 2.0 Area: 3.0

Right Triangle Base: 2.0 Height: 2.0 Area: 2.0

Rectangle Length: 2.0 Width: 7.0 Area: 14.0

Circle Radius: 2.0 Area: 12.566370614359172

Right Triangle Base: 5.0 Height: 6.0 Area: 15.0

Rectangle Length: 9.0 Width: 2.0 Area: 18.0

Circle Radius: 4.0 Area: 50.26548245743669

Rectangle Length: 5.0 Width: 5.0 Area: 25.0

Rectangle Length: 3.0 Width: 8.0 Area: 24.0

Right Triangle Base: 9.0 Height: 9.0 Area: 40.5

Circle Radius: 8.0 Area: 201.06192982974676

Circle Radius: 7.0 Area: 153.93804002589985

Circle Radius: 9.0 Area: 254.46900494077323

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

3

Enter the type of shape to add

Right triangle

Enter the base followed by the height

36

47

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

2

Which traversal?

Enter 1. For Pre-order.

Enter 2. For In-order

Enter 3. For Post-order

2

Right Triangle Base: 2.0 Height: 2.0 Area: 2.0

Right Triangle Base: 3.0 Height: 2.0 Area: 3.0

Circle Radius: 2.0 Area: 12.566370614359172

Rectangle Length: 2.0 Width: 7.0 Area: 14.0

Right Triangle Base: 5.0 Height: 6.0 Area: 15.0

Rectangle Length: 9.0 Width: 2.0 Area: 18.0

Rectangle Length: 5.0 Width: 4.0 Area: 20.0

Rectangle Length: 3.0 Width: 8.0 Area: 24.0

Rectangle Length: 5.0 Width: 5.0 Area: 25.0

Right Triangle Base: 9.0 Height: 9.0 Area: 40.5

Circle Radius: 4.0 Area: 50.26548245743669

Circle Radius: 7.0 Area: 153.93804002589985

Circle Radius: 8.0 Area: 201.06192982974676

Circle Radius: 9.0 Area: 254.46900494077323

Right Triangle Base: 36.0 Height: 47.0 Area: 846.0

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

4

Enter the type of shape to remove

Rectangle

Enter the length followed by the width

5

4

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

2

Which traversal?

Enter 1. For Pre-order.

Enter 2. For In-order

Enter 3. For Post-order

2

Right Triangle Base: 2.0 Height: 2.0 Area: 2.0

Right Triangle Base: 3.0 Height: 2.0 Area: 3.0

Circle Radius: 2.0 Area: 12.566370614359172

Rectangle Length: 2.0 Width: 7.0 Area: 14.0

Right Triangle Base: 5.0 Height: 6.0 Area: 15.0

Rectangle Length: 9.0 Width: 2.0 Area: 18.0

Rectangle Length: 3.0 Width: 8.0 Area: 24.0

Rectangle Length: 5.0 Width: 5.0 Area: 25.0

Right Triangle Base: 9.0 Height: 9.0 Area: 40.5

Circle Radius: 4.0 Area: 50.26548245743669

Circle Radius: 7.0 Area: 153.93804002589985

Circle Radius: 8.0 Area: 201.06192982974676

Circle Radius: 9.0 Area: 254.46900494077323

Right Triangle Base: 36.0 Height: 47.0 Area: 846.0

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

5

Enter the type of shape to Search

Circle

Enter the radius

4

Was the shape in the tree? true

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

6

The shape with the max area Right Triangle Base: 36.0 Height: 47.0 Area: 846.0

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

7

Enter the maximum area

100

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

2

Which traversal?

Enter 1. For Pre-order.

Enter 2. For In-order

Enter 3. For Post-order

2

Right Triangle Base: 2.0 Height: 2.0 Area: 2.0

Right Triangle Base: 3.0 Height: 2.0 Area: 3.0

Circle Radius: 2.0 Area: 12.566370614359172

Rectangle Length: 2.0 Width: 7.0 Area: 14.0

Right Triangle Base: 5.0 Height: 6.0 Area: 15.0

Rectangle Length: 9.0 Width: 2.0 Area: 18.0

Rectangle Length: 3.0 Width: 8.0 Area: 24.0

Rectangle Length: 5.0 Width: 5.0 Area: 25.0

Right Triangle Base: 9.0 Height: 9.0 Area: 40.5

Circle Radius: 4.0 Area: 50.26548245743669

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

8

Enter the file's name

newShapes.txt

Enter 1. To Read a Shape Tree from a File.

Enter 2. To Print a Tree Traversal to the Console

Enter 3. To Add a Shape.

Enter 4. To Remove a Shape.

Enter 5. To Search for a Shape.

Enter 6. To Find the Shape with the Max Area.

Enter 7. To Remove All Shapes Greater than an Area.

Enter 8. To Print Shape Tree to File.

Enter 0. To Quit.

0

Goodbye!

Finally:

• Upload the source code file or files (.JAVA File Extension) to Homework06
• To Blackboard
• Following these instructions.
• If there are problems, then let the instructor know as soon as possible.