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TreeAVL.java
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374 lines (303 loc) · 9.43 KB
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public class TreeAVL<T extends Comparable<T>> {
// Node - Subclass
public class Node {
private T data;
private Node left;
private Node right;
private int height;
public Node(T data) {
this.data = data;
this.left = null;
this.right = null;
this.height = 0;
}
public T getData() {
return data;
}
public Node getLeft() {
return left;
}
public Node getRight() {
return right;
}
public int getHeight() {
return height;
}
public void setData(T data) {
this.data = data;
}
public void setLeft(Node left) {
this.left = left;
}
public void setRight(Node right) {
this.right = right;
}
public void setHeight(int height) {
this.height = height;
}
public boolean isLeaf() {
return left == null && right == null;
}
public boolean hasLeft() {
return left != null;
}
public boolean hasRight() {
return right != null;
}
public boolean hasBoth() {
return left != null && right != null;
}
@Override
public String toString() {
return data.toString();
}
}
// Attributes
public Node root;
// Constructors
public TreeAVL() {
this.root = null;
}
// Methods - CRUD
public void insert(T data) {
root = insert(root, data);
}
private Node insert(Node current, T data) {
if (current == null) {
return new Node(data);
}
int compare = current.getData().compareTo(data);
if (compare < 0) {
current.setRight(insert(current.getRight(), data));
} else if (compare > 0) {
current.setLeft(insert(current.getLeft(), data));
}
return balance(current);
}
// Remove using successor
public void remove(T data) {
root = remove(root, data);
}
private Node remove(Node current, T data) {
if (current == null) {
return null;
}
int compare = data.compareTo(current.getData());
if (compare < 0) {
current.setLeft(remove(current.getLeft(), data));
} else if (compare > 0) {
current.setRight(remove(current.getRight(), data));
} else {
if (current.isLeaf()) {
return null;
} else if (current.hasBoth()) {
Node sucessor = findMin(current.getRight());
current.setData(sucessor.getData());
current.setRight(remove(current.getRight(), sucessor.getData()));
} else {
current = current.getLeft() != null ? current.getLeft() : current.getRight();
}
}
return balance(current);
}
// Delete using predecessor
public void delete(T data) {
root = delete(root, data);
}
private Node delete(Node current, T data) {
if (current == null) {
return null;
}
int compare = data.compareTo(current.getData());
if (compare < 0) {
current.setLeft(delete(current.getLeft(), data));
} else if (compare > 0) {
current.setRight(delete(current.getRight(), data));
} else {
if (current.isLeaf()) {
return null;
} else if (current.hasBoth()) {
Node predecessor = findMax(current.getLeft());
current.setData(predecessor.getData());
current.setLeft(delete(current.getLeft(), predecessor.getData()));
} else {
current = current.getLeft() != null ? current.getLeft() : current.getRight();
}
}
return balance(current);
}
// Methods - AVL Tree
private int height(Node node) {
return node == null ? -1 : node.getHeight();
}
private void updateHeight(Node node) {
node.setHeight(1 + Math.max(height(node.getLeft()), height(node.getRight())));
}
private int getBalance(Node node) {
return node == null ? 0 : height(node.getLeft()) - height(node.getRight());
}
private Node rotateRight(Node current) {
Node newRoot = current.getLeft();
current.setLeft(newRoot.getRight());
newRoot.setRight(current);
updateHeight(current);
updateHeight(newRoot);
return newRoot;
}
private Node rotateLeft(Node current) {
Node newRoot = current.getRight();
current.setRight(newRoot.getLeft());
newRoot.setLeft(current);
updateHeight(current);
updateHeight(newRoot);
return newRoot;
}
private Node balance(Node node) {
updateHeight(node);
int balance = getBalance(node);
if (balance > 1) {
if (getBalance(node.getLeft()) < 0) {
node.setLeft(rotateLeft(node.getLeft()));
}
node = rotateRight(node);
} else if (balance < -1) {
if (getBalance(node.getRight()) > 0) {
node.setRight(rotateRight(node.getRight()));
}
node = rotateLeft(node);
}
return node;
}
// Methods - Binary Search Tree
public boolean isEmpty() {
return root == null;
}
public boolean contains(T data) {
return search(data) != null;
}
public Node search(T data) {
return search(root, data);
}
private Node search(Node current, T data) {
if (current == null) {
return null;
}
int compare = data.compareTo(current.getData());
if (compare < 0) {
return search(current.getLeft(), data);
} else if (compare > 0) {
return search(current.getRight(), data);
}
return current;
}
public Node findMin() {
return findMin(root);
}
public Node findMin(Node current) {
if (!current.hasLeft()) {
return current;
}
return findMin(current.getLeft());
}
public Node findMax() {
return findMax(root);
}
public Node findMax(Node current) {
if (!current.hasRight()) {
return current;
}
return findMax(current.getRight());
}
// Methods - Traversal
public LinkedListSingle<Node> inOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
inOrder(root, nodes);
return nodes;
}
private void inOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
inOrder(current.getLeft(), nodes);
nodes.add(current);
inOrder(current.getRight(), nodes);
}
}
public LinkedListSingle<Node> preOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
preOrder(root, nodes);
return nodes;
}
private void preOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
nodes.add(current);
preOrder(current.getLeft(), nodes);
preOrder(current.getRight(), nodes);
}
}
public LinkedListSingle<Node> postOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
postOrder(root, nodes);
return nodes;
}
private void postOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
postOrder(current.getLeft(), nodes);
postOrder(current.getRight(), nodes);
nodes.add(current);
}
}
public LinkedListSingle<Node> bfs() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
QueueLinkedList<Node> queue = new QueueLinkedList<>();
queue.enqueue(root);
while (!queue.isEmpty()) {
Node current = queue.dequeue();
nodes.add(current);
if (current.hasLeft()) {
queue.enqueue(current.getLeft());
}
if (current.hasRight()) {
queue.enqueue(current.getRight());
}
}
return nodes;
}
public LinkedListSingle<Node> dfs() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
StackLinkedList<Node> stack = new StackLinkedList<>();
stack.push(root);
while (!stack.isEmpty()) {
Node current = stack.pop();
nodes.add(current);
if (current.hasRight()) {
stack.push(current.getRight());
}
if (current.hasLeft()) {
stack.push(current.getLeft());
}
}
return nodes;
}
public void print() {
QueueLinkedList<Node> queue = new QueueLinkedList<Node>();
queue.enqueue(root);
queue.enqueue(null);
while (!queue.isEmpty()) {
Node current = queue.dequeue();
if (current == null) {
System.out.print("| ");
continue;
}
System.out.print(current + " ");
if (current.hasLeft())
queue.enqueue(current.left);
if (current.hasRight())
queue.enqueue(current.right);
queue.enqueue(null);
}
System.out.println();
}
@Override
public String toString() {
return bfs().toString();
}
}