mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-25 13:34:54 +08:00
Improved files and folders name conventions and moved lost files to Misc folder
This commit is contained in:
212
Data Structures/Trees/AVLTree.java
Normal file
212
Data Structures/Trees/AVLTree.java
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@ -0,0 +1,212 @@
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public class AVLtree {
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private Node root;
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private class Node {
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private int key;
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private int balance;
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private int height;
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private Node left, right, parent;
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Node(int k, Node p) {
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key = k;
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parent = p;
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}
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}
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public boolean insert(int key) {
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if (root == null)
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root = new Node(key, null);
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else {
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Node n = root;
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Node parent;
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while (true) {
|
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if (n.key == key)
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return false;
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parent = n;
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boolean goLeft = n.key > key;
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n = goLeft ? n.left : n.right;
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if (n == null) {
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if (goLeft) {
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parent.left = new Node(key, parent);
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} else {
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parent.right = new Node(key, parent);
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}
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rebalance(parent);
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break;
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}
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}
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}
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return true;
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}
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private void delete(Node node){
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if(node.left == null && node.right == null){
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if(node.parent == null) root = null;
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else{
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Node parent = node.parent;
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if(parent.left == node){
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parent.left = null;
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}else parent.right = null;
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rebalance(parent);
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}
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return;
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}
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if(node.left!=null){
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Node child = node.left;
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while (child.right!=null) child = child.right;
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node.key = child.key;
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delete(child);
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}else{
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Node child = node.right;
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while (child.left!=null) child = child.left;
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node.key = child.key;
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delete(child);
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}
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}
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public void delete(int delKey) {
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if (root == null)
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return;
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Node node = root;
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Node child = root;
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while (child != null) {
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node = child;
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child = delKey >= node.key ? node.right : node.left;
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if (delKey == node.key) {
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delete(node);
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return;
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}
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}
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}
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private void rebalance(Node n) {
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setBalance(n);
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if (n.balance == -2) {
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if (height(n.left.left) >= height(n.left.right))
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n = rotateRight(n);
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else
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n = rotateLeftThenRight(n);
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} else if (n.balance == 2) {
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if (height(n.right.right) >= height(n.right.left))
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n = rotateLeft(n);
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else
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n = rotateRightThenLeft(n);
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}
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if (n.parent != null) {
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rebalance(n.parent);
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} else {
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root = n;
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}
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}
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private Node rotateLeft(Node a) {
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Node b = a.right;
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b.parent = a.parent;
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a.right = b.left;
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if (a.right != null)
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a.right.parent = a;
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b.left = a;
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a.parent = b;
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||||
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if (b.parent != null) {
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if (b.parent.right == a) {
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b.parent.right = b;
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} else {
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b.parent.left = b;
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||||
}
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}
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setBalance(a, b);
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return b;
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}
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private Node rotateRight(Node a) {
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Node b = a.left;
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b.parent = a.parent;
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a.left = b.right;
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||||
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||||
if (a.left != null)
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||||
a.left.parent = a;
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||||
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b.right = a;
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||||
a.parent = b;
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||||
|
||||
if (b.parent != null) {
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||||
if (b.parent.right == a) {
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||||
b.parent.right = b;
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} else {
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||||
b.parent.left = b;
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||||
}
|
||||
}
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||||
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||||
setBalance(a, b);
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||||
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return b;
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||||
}
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private Node rotateLeftThenRight(Node n) {
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n.left = rotateLeft(n.left);
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return rotateRight(n);
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}
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||||
private Node rotateRightThenLeft(Node n) {
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n.right = rotateRight(n.right);
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return rotateLeft(n);
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}
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private int height(Node n) {
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||||
if (n == null)
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||||
return -1;
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||||
return n.height;
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||||
}
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||||
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||||
private void setBalance(Node... nodes) {
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for (Node n : nodes)
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||||
reheight(n);
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n.balance = height(n.right) - height(n.left);
|
||||
}
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||||
|
||||
public void printBalance() {
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||||
printBalance(root);
|
||||
}
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||||
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||||
private void printBalance(Node n) {
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||||
if (n != null) {
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printBalance(n.left);
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System.out.printf("%s ", n.balance);
|
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printBalance(n.right);
|
||||
}
|
||||
}
|
||||
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private void reheight(Node node){
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if(node!=null){
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||||
node.height=1 + Math.max(height(node.left), height(node.right));
|
||||
}
|
||||
}
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||||
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||||
public static void main(String[] args) {
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||||
AVLtree tree = new AVLtree();
|
||||
|
||||
System.out.println("Inserting values 1 to 10");
|
||||
for (int i = 1; i < 10; i++)
|
||||
tree.insert(i);
|
||||
|
||||
System.out.print("Printing balance: ");
|
||||
tree.printBalance();
|
||||
}
|
||||
}
|
268
Data Structures/Trees/BinaryTree.java
Normal file
268
Data Structures/Trees/BinaryTree.java
Normal file
@ -0,0 +1,268 @@
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||||
/**
|
||||
* This entire class is used to build a Binary Tree data structure.
|
||||
* There is the Node Class and the Tree Class, both explained below.
|
||||
*
|
||||
* @author Unknown
|
||||
*
|
||||
*/
|
||||
|
||||
|
||||
/**
|
||||
* 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
|
||||
* to the right, and the parent from which they came from.
|
||||
*
|
||||
* @author Unknown
|
||||
*
|
||||
*/
|
||||
class Node{
|
||||
/** Data for the node */
|
||||
public int data;
|
||||
/** The Node to the left of this one */
|
||||
public Node left;
|
||||
/** The Node to the right of this one */
|
||||
public Node right;
|
||||
/** The parent of this node */
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||||
public Node parent;
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||||
|
||||
/**
|
||||
* Constructor of Node
|
||||
*
|
||||
* @param value Value to put in the node
|
||||
*/
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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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||||
|
||||
/**
|
||||
* A binary tree is a data structure in which an element
|
||||
* has two successors(children). The left child is usually
|
||||
* smaller than the parent, and the right child is usually
|
||||
* bigger.
|
||||
*
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||||
* @author Unknown
|
||||
*
|
||||
*/
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||||
class Tree{
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||||
/** The root of the Binary Tree */
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||||
private Node root;
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||||
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||||
/**
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||||
* Constructor
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||||
*/
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||||
public Tree(){
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||||
root = null;
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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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||||
public Node find(int key) {
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||||
Node current = root;
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||||
while (current != null) {
|
||||
if(key < current.data) {
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||||
current = current.left;
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||||
} else if(key > current.data) {
|
||||
current = current.right;
|
||||
} else { // If you find the value return it
|
||||
return current;
|
||||
}
|
||||
}
|
||||
return null;
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||||
}
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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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||||
public void put(int value){
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||||
Node newNode = new Node(value);
|
||||
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
|
||||
Node parent = find(value);
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||||
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||||
//This if/else assigns the new node to be either the left or right child of the parent
|
||||
if(value < parent.data){
|
||||
parent.left = newNode;
|
||||
parent.left.parent = parent;
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||||
return;
|
||||
}
|
||||
else{
|
||||
parent.right = newNode;
|
||||
parent.right.parent = parent;
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Deletes a given value from the Binary Tree
|
||||
*
|
||||
* @param value Value to be deleted
|
||||
* @return If the value was deleted
|
||||
*/
|
||||
public boolean remove(int value){
|
||||
//temp is the node to be deleted
|
||||
Node temp = find(value);
|
||||
|
||||
//If the value doesn't exist
|
||||
if(temp.data != value)
|
||||
return false;
|
||||
|
||||
//No children
|
||||
if(temp.right == null && temp.left == null){
|
||||
if(temp == root)
|
||||
root = null;
|
||||
|
||||
//This if/else assigns the new node to be either the left or right child of the parent
|
||||
else if(temp.parent.data < temp.data)
|
||||
temp.parent.right = null;
|
||||
else
|
||||
temp.parent.left = null;
|
||||
return true;
|
||||
}
|
||||
|
||||
//Two children
|
||||
else if(temp.left != null && temp.right != null){
|
||||
Node successor = findSuccessor(temp);
|
||||
|
||||
//The left tree of temp is made the left tree of the successor
|
||||
successor.left = temp.left;
|
||||
successor.left.parent = successor;
|
||||
|
||||
//If the successor has a right child, the child's grandparent is it's new parent
|
||||
if(successor.right != null && successor.parent != temp){
|
||||
successor.right.parent = successor.parent;
|
||||
successor.parent.left = successor.right;
|
||||
successor.right = temp.right;
|
||||
successor.right.parent = successor;
|
||||
}
|
||||
if(temp == root){
|
||||
successor.parent = null;
|
||||
root = successor;
|
||||
return true;
|
||||
}
|
||||
|
||||
//If you're not deleting the root
|
||||
else{
|
||||
successor.parent = temp.parent;
|
||||
|
||||
//This if/else assigns the new node to be either the left or right child of the parent
|
||||
if(temp.parent.data < temp.data)
|
||||
temp.parent.right = successor;
|
||||
else
|
||||
temp.parent.left = successor;
|
||||
return true;
|
||||
}
|
||||
}
|
||||
//One child
|
||||
else{
|
||||
//If it has a right child
|
||||
if(temp.right != null){
|
||||
if(temp == root){
|
||||
root = temp.right; return true;}
|
||||
|
||||
temp.right.parent = temp.parent;
|
||||
|
||||
//Assigns temp to left or right child
|
||||
if(temp.data < temp.parent.data)
|
||||
temp.parent.left = temp.right;
|
||||
else
|
||||
temp.parent.right = temp.right;
|
||||
return true;
|
||||
}
|
||||
//If it has a left child
|
||||
else{
|
||||
if(temp == root){
|
||||
root = temp.left; return true;}
|
||||
|
||||
temp.left.parent = temp.parent;
|
||||
|
||||
//Assigns temp to left or right side
|
||||
if(temp.data < temp.parent.data)
|
||||
temp.parent.left = temp.left;
|
||||
else
|
||||
temp.parent.right = temp.left;
|
||||
return true;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* This method finds the Successor to the Node given.
|
||||
* Move right once and go left down the tree as far as you can
|
||||
*
|
||||
* @param n Node that you want to find the Successor of
|
||||
* @return The Successor of the node
|
||||
*/
|
||||
public Node findSuccessor(Node n){
|
||||
if(n.right == null)
|
||||
return n;
|
||||
Node current = n.right;
|
||||
Node parent = n.right;
|
||||
while(current != null){
|
||||
parent = current;
|
||||
current = current.left;
|
||||
}
|
||||
return parent;
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns the root of the Binary Tree
|
||||
*
|
||||
* @return the root of the Binary Tree
|
||||
*/
|
||||
public Node getRoot(){
|
||||
return root;
|
||||
}
|
||||
|
||||
/**
|
||||
* Prints leftChild - root - rightChild
|
||||
*
|
||||
* @param localRoot The local root of the binary tree
|
||||
*/
|
||||
public void inOrder(Node localRoot){
|
||||
if(localRoot != null){
|
||||
inOrder(localRoot.left);
|
||||
System.out.print(localRoot.data + " ");
|
||||
inOrder(localRoot.right);
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Prints root - leftChild - rightChild
|
||||
*
|
||||
* @param localRoot The local root of the binary tree
|
||||
*/
|
||||
public void preOrder(Node localRoot){
|
||||
if(localRoot != null){
|
||||
System.out.print(localRoot.data + " ");
|
||||
preOrder(localRoot.left);
|
||||
preOrder(localRoot.right);
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Prints rightChild - leftChild - root
|
||||
*
|
||||
* @param localRoot The local root of the binary tree
|
||||
*/
|
||||
public void postOrder(Node localRoot){
|
||||
if(localRoot != null){
|
||||
postOrder(localRoot.left);
|
||||
postOrder(localRoot.right);
|
||||
System.out.print(localRoot.data + " ");
|
||||
}
|
||||
}
|
||||
}
|
226
Data Structures/Trees/GenericTree.Java
Normal file
226
Data Structures/Trees/GenericTree.Java
Normal file
@ -0,0 +1,226 @@
|
||||
import java.util.ArrayList;
|
||||
import java.util.LinkedList;
|
||||
import java.util.Scanner;
|
||||
|
||||
public class treeclass {
|
||||
private class Node {
|
||||
int data;
|
||||
ArrayList<Node> child = new ArrayList<>();
|
||||
}
|
||||
|
||||
private Node root;
|
||||
private int size;
|
||||
|
||||
/*
|
||||
A generic tree is a tree which can have as many children as it can be
|
||||
It might be possible that every node present is directly connected to
|
||||
root node.
|
||||
|
||||
In this code
|
||||
Every function has two copies: one function is helper function which can be called from
|
||||
main and from that function a private function is called which will do the actual work.
|
||||
I have done this, while calling from main one have to give minimum parameters.
|
||||
|
||||
*/
|
||||
public treeclass() { //Constructor
|
||||
Scanner scn = new Scanner(System.in);
|
||||
root = create_treeG(null, 0, scn);
|
||||
}
|
||||
|
||||
private Node create_treeG(Node node, int childindx, Scanner scn) {
|
||||
// display
|
||||
if (node == null) {
|
||||
System.out.println("Enter root's data");
|
||||
} else {
|
||||
System.out.println("Enter data of parent of index " + node.data + " " + childindx);
|
||||
}
|
||||
// input
|
||||
node = new Node();
|
||||
node.data = scn.nextInt();
|
||||
System.out.println("number of children");
|
||||
int number = scn.nextInt();
|
||||
for (int i = 0; i < number; i++) {
|
||||
Node childd = create_treeG(node, i, scn);
|
||||
size++;
|
||||
node.child.add(childd);
|
||||
}
|
||||
return node;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to display the generic tree
|
||||
*/
|
||||
public void display() { //Helper function
|
||||
display_1(root);
|
||||
return;
|
||||
}
|
||||
|
||||
private void display_1(Node parent) {
|
||||
System.out.print(parent.data + "=>");
|
||||
for (int i = 0; i < parent.child.size(); i++) {
|
||||
System.out.print(parent.child.get(i).data + " ");
|
||||
}
|
||||
System.out.println(".");
|
||||
for (int i = 0; i < parent.child.size(); i++) {
|
||||
display_1(parent.child.get(i));
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
/*
|
||||
One call store the size directly but if you are asked compute size this function to calcuate
|
||||
size goes as follows
|
||||
*/
|
||||
|
||||
public int size2call() {
|
||||
return size2(root);
|
||||
}
|
||||
|
||||
public int size2(Node roott) {
|
||||
int sz = 0;
|
||||
for (int i = 0; i < roott.child.size(); i++) {
|
||||
sz += size2(roott.child.get(i));
|
||||
}
|
||||
return sz + 1;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to compute maximum value in the generic tree
|
||||
*/
|
||||
public int maxcall() {
|
||||
int maxi = root.data;
|
||||
return max(root, maxi);
|
||||
}
|
||||
|
||||
private int max(Node roott, int maxi) {
|
||||
if (maxi < roott.data)
|
||||
maxi = roott.data;
|
||||
for (int i = 0; i < roott.child.size(); i++) {
|
||||
maxi = max(roott.child.get(i), maxi);
|
||||
}
|
||||
|
||||
return maxi;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to compute HEIGHT of the generic tree
|
||||
*/
|
||||
|
||||
public int heightcall() {
|
||||
return height(root) - 1;
|
||||
}
|
||||
|
||||
private int height(Node node) {
|
||||
int h = 0;
|
||||
for (int i = 0; i < node.child.size(); i++) {
|
||||
int k = height(node.child.get(i));
|
||||
if (k > h)
|
||||
h = k;
|
||||
}
|
||||
return h + 1;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to find whether a number is present in the generic tree or not
|
||||
*/
|
||||
|
||||
public boolean findcall(int info) {
|
||||
return find(root, info);
|
||||
}
|
||||
|
||||
private boolean find(Node node, int info) {
|
||||
if (node.data == info)
|
||||
return true;
|
||||
for (int i = 0; i < node.child.size(); i++) {
|
||||
if (find(node.child.get(i), info))
|
||||
return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to calculate depth of generic tree
|
||||
*/
|
||||
public void depthcaller(int dep) {
|
||||
depth(root, dep);
|
||||
}
|
||||
|
||||
public void depth(Node node, int dep) {
|
||||
if (dep == 0) {
|
||||
System.out.println(node.data);
|
||||
return;
|
||||
}
|
||||
for (int i = 0; i < node.child.size(); i++)
|
||||
depth(node.child.get(i), dep - 1);
|
||||
return;
|
||||
}
|
||||
|
||||
/*
|
||||
Function to print generic tree in pre-order
|
||||
*/
|
||||
public void preordercall() {
|
||||
preorder(root);
|
||||
System.out.println(".");
|
||||
}
|
||||
|
||||
private void preorder(Node node) {
|
||||
System.out.print(node.data + " ");
|
||||
for (int i = 0; i < node.child.size(); i++)
|
||||
preorder(node.child.get(i));
|
||||
}
|
||||
|
||||
/*
|
||||
Function to print generic tree in post-order
|
||||
*/
|
||||
public void postordercall() {
|
||||
postorder(root);
|
||||
System.out.println(".");
|
||||
}
|
||||
|
||||
private void postorder(Node node) {
|
||||
for (int i = 0; i < node.child.size(); i++)
|
||||
postorder(node.child.get(i));
|
||||
System.out.print(node.data + " ");
|
||||
}
|
||||
|
||||
/*
|
||||
Function to print generic tree in level-order
|
||||
*/
|
||||
|
||||
public void levelorder() {
|
||||
LinkedList<Node> q = new LinkedList<>();
|
||||
q.addLast(root);
|
||||
while (!q.isEmpty()) {
|
||||
int k = q.getFirst().data;
|
||||
System.out.print(k + " ");
|
||||
|
||||
for (int i = 0; i < q.getFirst().child.size(); i++) {
|
||||
q.addLast(q.getFirst().child.get(i));
|
||||
}
|
||||
q.removeFirst();
|
||||
}
|
||||
System.out.println(".");
|
||||
}
|
||||
|
||||
/*
|
||||
Function to remove all leaves of generic tree
|
||||
*/
|
||||
public void removeleavescall() {
|
||||
removeleaves(root);
|
||||
}
|
||||
|
||||
private void removeleaves(Node node) {
|
||||
ArrayList<Integer> arr = new ArrayList<>();
|
||||
for (int i = 0; i < node.child.size(); i++) {
|
||||
if (node.child.get(i).child.size() == 0) {
|
||||
arr.add(i);
|
||||
// node.child.remove(i);
|
||||
// i--;
|
||||
} else
|
||||
removeleaves(node.child.get(i));
|
||||
}
|
||||
for (int i = arr.size() - 1; i >= 0; i--) {
|
||||
node.child.remove(arr.get(i) + 0);
|
||||
}
|
||||
}
|
||||
|
92
Data Structures/Trees/TreeTraversal.java
Normal file
92
Data Structures/Trees/TreeTraversal.java
Normal file
@ -0,0 +1,92 @@
|
||||
/**
|
||||
*
|
||||
* @author Varun Upadhyay (https://github.com/varunu28)
|
||||
*
|
||||
*/
|
||||
|
||||
// Driver Program
|
||||
public class TreeTraversal {
|
||||
public static void main(String[] args) {
|
||||
Node tree = new Node(5);
|
||||
tree.insert(3);
|
||||
tree.insert(7);
|
||||
|
||||
// Prints 3 5 7
|
||||
tree.printInOrder();
|
||||
System.out.println();
|
||||
|
||||
// Prints 5 3 7
|
||||
tree.printPreOrder();
|
||||
System.out.println();
|
||||
|
||||
// Prints 3 7 5
|
||||
tree.printPostOrder();
|
||||
System.out.println();
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* The Node class which initializes a Node of a tree
|
||||
* Consists of all 3 traversal methods: printInOrder, printPostOrder & printPreOrder
|
||||
* printInOrder: LEFT -> ROOT -> RIGHT
|
||||
* printPreOrder: ROOT -> LEFT -> RIGHT
|
||||
* printPostOrder: LEFT -> RIGHT -> ROOT
|
||||
*/
|
||||
class Node {
|
||||
Node left, right;
|
||||
int data;
|
||||
|
||||
public Node(int data) {
|
||||
this.data = data;
|
||||
}
|
||||
|
||||
public void insert (int value) {
|
||||
if (value < data) {
|
||||
if (left == null) {
|
||||
left = new Node(value);
|
||||
}
|
||||
else {
|
||||
left.insert(value);
|
||||
}
|
||||
}
|
||||
else {
|
||||
if (right == null) {
|
||||
right = new Node(value);
|
||||
}
|
||||
else {
|
||||
right.insert(value);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
public void printInOrder() {
|
||||
if (left != null) {
|
||||
left.printInOrder();
|
||||
}
|
||||
System.out.print(data + " ");
|
||||
if (right != null) {
|
||||
right.printInOrder();
|
||||
}
|
||||
}
|
||||
|
||||
public void printPreOrder() {
|
||||
System.out.print(data + " ");
|
||||
if (left != null) {
|
||||
left.printPreOrder();
|
||||
}
|
||||
if (right != null) {
|
||||
right.printPreOrder();
|
||||
}
|
||||
}
|
||||
|
||||
public void printPostOrder() {
|
||||
if (left != null) {
|
||||
left.printPostOrder();
|
||||
}
|
||||
if (right != null) {
|
||||
right.printPostOrder();
|
||||
}
|
||||
System.out.print(data + " ");
|
||||
}
|
||||
}
|
||||
|
Reference in New Issue
Block a user