2019-05-09 19:32:54 +08:00
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package DataStructures.Trees;
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2018-04-14 11:45:48 +08:00
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/**
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2019-05-09 19:32:54 +08:00
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* This entire class is used to build a Binary Tree data structure.
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* There is the Node Class and the Tree Class, both explained below.
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*/
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2018-04-14 11:45:48 +08:00
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/**
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2019-05-09 19:32:54 +08:00
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* A binary tree is a data structure in which an element
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* has two successors(children). The left child is usually
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* smaller than the parent, and the right child is usually
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* bigger.
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*
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* @author Unknown
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*
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*/
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public class BinaryTree {
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* This class implements the nodes that will go on the Binary Tree.
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* They consist of the data in them, the node to the left, the node
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* to the right, and the parent from which they came from.
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*
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* @author Unknown
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*
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*/
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class Node {
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/** Data for the node */
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public int data;
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/** The Node to the left of this one */
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public Node left;
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/** The Node to the right of this one */
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public Node right;
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/** The parent of this node */
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public Node parent;
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Constructor of Node
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*
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* @param value Value to put in the node
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*/
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public Node(int value) {
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data = value;
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left = null;
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right = null;
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parent = null;
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}
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/** The root of the Binary Tree */
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private Node root;
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2018-04-14 11:45:48 +08:00
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/**
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* Constructor
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*/
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public BinaryTree() {
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root = null;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Method to find a Node with a certain value
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*
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* @param key Value being looked for
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* @return The node if it finds it, otherwise returns the parent
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*/
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public Node find(int key) {
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Node current = root;
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while (current != null) {
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if (key < current.data) {
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if (current.left == null)
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return current; //The key isn't exist, returns the parent
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current = current.left;
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} else if (key > current.data) {
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if (current.right == null)
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return current;
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current = current.right;
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} else { // If you find the value return it
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return current;
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}
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}
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return null;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Inserts certain value into the Binary Tree
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*
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* @param value Value to be inserted
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*/
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public void put(int value) {
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Node newNode = new Node(value);
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if (root == null)
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root = newNode;
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else {
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//This will return the soon to be parent of the value you're inserting
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Node parent = find(value);
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//This if/else assigns the new node to be either the left or right child of the parent
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if (value < parent.data) {
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parent.left = newNode;
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parent.left.parent = parent;
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return;
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} else {
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parent.right = newNode;
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parent.right.parent = parent;
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return;
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}
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}
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}
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2019-05-09 19:32:54 +08:00
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/**
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* Deletes a given value from the Binary Tree
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*
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* @param value Value to be deleted
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* @return If the value was deleted
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*/
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public boolean remove(int value) {
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//temp is the node to be deleted
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Node temp = find(value);
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//If the value doesn't exist
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if (temp.data != value)
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return false;
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2018-04-14 11:45:48 +08:00
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//No children
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if (temp.right == null && temp.left == null) {
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if (temp == root)
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root = null;
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//This if/else assigns the new node to be either the left or right child of the parent
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else if (temp.parent.data < temp.data)
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temp.parent.right = null;
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else
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temp.parent.left = null;
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return true;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//Two children
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else if (temp.left != null && temp.right != null) {
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Node successor = findSuccessor(temp);
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2019-05-09 19:32:54 +08:00
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//The left tree of temp is made the left tree of the successor
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successor.left = temp.left;
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successor.left.parent = successor;
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2019-05-09 19:32:54 +08:00
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//If the successor has a right child, the child's grandparent is it's new parent
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2020-01-26 14:15:18 +08:00
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if(successor.parent!=temp){
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if(successor.right!=null){
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successor.right.parent = successor.parent;
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successor.parent.left = successor.right;
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successor.right = temp.right;
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successor.right.parent = successor;
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}else{
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successor.parent.left=null;
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successor.right=temp.right;
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successor.right.parent=successor;
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}
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2019-05-09 19:32:54 +08:00
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}
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2020-01-26 14:15:18 +08:00
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2019-05-09 19:32:54 +08:00
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if (temp == root) {
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successor.parent = null;
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root = successor;
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return true;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//If you're not deleting the root
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else {
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successor.parent = temp.parent;
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//This if/else assigns the new node to be either the left or right child of the parent
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if (temp.parent.data < temp.data)
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temp.parent.right = successor;
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else
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temp.parent.left = successor;
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return true;
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}
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}
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//One child
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else {
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//If it has a right child
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if (temp.right != null) {
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if (temp == root) {
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root = temp.right;
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return true;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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temp.right.parent = temp.parent;
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//Assigns temp to left or right child
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if (temp.data < temp.parent.data)
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temp.parent.left = temp.right;
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else
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temp.parent.right = temp.right;
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return true;
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}
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//If it has a left child
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else {
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if (temp == root) {
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root = temp.left;
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return true;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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temp.left.parent = temp.parent;
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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//Assigns temp to left or right side
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if (temp.data < temp.parent.data)
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temp.parent.left = temp.left;
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else
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temp.parent.right = temp.left;
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return true;
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}
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}
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* This method finds the Successor to the Node given.
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* Move right once and go left down the tree as far as you can
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*
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* @param n Node that you want to find the Successor of
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* @return The Successor of the node
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*/
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public Node findSuccessor(Node n) {
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if (n.right == null)
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return n;
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Node current = n.right;
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Node parent = n.right;
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while (current != null) {
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parent = current;
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current = current.left;
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}
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return parent;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Returns the root of the Binary Tree
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*
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* @return the root of the Binary Tree
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*/
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public Node getRoot() {
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return root;
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Prints leftChild - root - rightChild
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*
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* @param localRoot The local root of the binary tree
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*/
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public void inOrder(Node localRoot) {
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if (localRoot != null) {
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inOrder(localRoot.left);
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System.out.print(localRoot.data + " ");
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inOrder(localRoot.right);
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}
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}
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2018-04-14 11:45:48 +08:00
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2019-05-09 19:32:54 +08:00
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/**
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* Prints root - leftChild - rightChild
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*
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* @param localRoot The local root of the binary tree
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*/
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public void preOrder(Node localRoot) {
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if (localRoot != null) {
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System.out.print(localRoot.data + " ");
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preOrder(localRoot.left);
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preOrder(localRoot.right);
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}
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}
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/**
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* Prints rightChild - leftChild - root
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*
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* @param localRoot The local root of the binary tree
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*/
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public void postOrder(Node localRoot) {
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if (localRoot != null) {
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postOrder(localRoot.left);
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postOrder(localRoot.right);
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System.out.print(localRoot.data + " ");
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}
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}
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}
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