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CIS 313 Intermediate Data Structures
创建日期：2024-08-08 15:18:38
标签： CIS 313
Intermediate Data Structures

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  CIS 313, Intermediate Data Structures

This lab involves implementing a Red-Black Tree

Overview

You will Construct a Red-Black Tree of numbers. You will extend your code in programming assignment

2 to now include a balancing operations. If you prefer, we have posted a working BST

and Node class for you to build off of. Note: BST.java is there as a reference. No need to turn it

in along with your code.

A BST is a Red-Black tree if it satisfies the following Red-Black Properties:

1. Every node is either red or black

2. Every leaf node counts as black

3. If a node is red, then both its children are black

4. Every simple path from a node to a descendant leaf contains the same number of black nodes

5. The root node is always black

Fill out all of the methods in the provided skeleton code.

You may add additional methods, but should NOT add public fields. You also should not change

the name of any of the classes or files.

The program should continually accept instructions until exit is entered.

In particular, you will implement the following functionality for your Red-Black Tree:

insert

Preform BST insert

Check to see if the tree breaks any of the Red-Black Properties

If so, preform the appropriate rotations and or re-colorings

delete

Preform BST delete

Check to see if the tree breaks any of the Red-Black Properties

If so, preform the appropriate rotations and or re-colorings

Note: You will not be asked to remove the most difficult nodes

(ie) you won’t need to recursively rebalance

See Extra Credit

1

search

Return the node corresponding to the given number

Print ”Found” if the corresponding key is in the tree.

Otherwise, print ”Not Found”

leftRotate

If x is the root of the tree to rotate with left child subtree T1 and right child y, where T2 and T3

are the left and right children of y:

x becomes left child of y and T3 as its right child of y

T1 becomes left child of x and T2 becomes right child of x

rightRotate

If y is the root of the tree to rotate with right child subtree T3 and left child x, where T1 and T2

are the left and right children of x:

y becomes right child of x and T1 as its left child of x

T2 becomes left child of y and T3 becomes right child of y

Additionally, implement the following instructions in the main() function in lab4.java

traverse

Preform the preorder traversal of the Red-Black Tree

exit

Exit the program

Print ”Successful Exit”

Input Description

The input will be a text file, for example inSample.txt below will be provided. Each of the lines

(unknown how many) will contain a different set of words specifying a task along with a number

(if applicable). You should create an empty Red-Black Tree (with root null), and then perform a

sequence of actions on that tree.

Note: You should implement your Red-Black tree with generics, but create a Red-Black tree that

takes in integers.

2

insert 10

insert 5

insert 20

insert 3

traverse

insert 2

traverse

search 17

insert 1

delete 20

traverse

exit

Output Description

Using the sample input above, your program should output:

10 5 3 20

10 3 2 5 20

Not Found

3 2 1 10 5

Successful Exit

Testing Protocol

We will test your program in the same fashion as previous labs. We strongly suggest you test your

program in the following ways:

While creating it

With inSample.txt

With the provided test.sh file found in /home/users/smergend/public/cs313/lab4 on ixdev.

3

Grading

This assignment will be graded as follows:

Correctness 40%

Your program compiles without errors (including the submitted files NOT containing package names

at the top. Delete the package name from the top of the files before you submit them): 10%

Your program runs without errors: 10%

Your program produces the correct output: 20%

Implementation 40%

Insert, delete, search, traverse, and exit all preform in the correct time complexity for the RBT:

10%

leftRotate, and rightRotate are also preform in the correct time complexity: 30%

Documentation 20%

To earn points for implementation, your code must be clear enough for us to understand

Extra Credit 20%

Each part of the extra credit will be worth 10%

We will test the extra credit similarly to how we test the rest of the assignment.

Add an additional public function isRBT() to your RBT.java that checks if the current tree matches

RBT rules. Add an extra command in lab4.java that is called ”test”

1. Instantiate a new object from the given class WrongTree.java at the beginning of lab4.java

2. Instantiate a new RBT from your RBT.java at the beginning of lab4.java

3. Set root on your RBT to the root returned in WrongTree.getRoot()

4. Determine if your current RBT is in fact a RBT

Don’t change WrongTree.java, write code in RBT.java

5. Print the private time field in WrongTree.java using the getTime() method

6. Print true or false depending on if you think the tree is a RBT

For the other half, we will simply run a more in depth test input file.

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