219 lines
4.9 KiB
Java
219 lines
4.9 KiB
Java
public class AVLtree {
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private Node root;
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private static 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;
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private Node right;
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private Node parent;
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Node(int key, Node parent) {
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this.key = key;
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this.parent = parent;
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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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return true;
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}
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Node n = root;
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while (true) {
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if (n.key == key)
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return false;
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Node 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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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) {
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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 {
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parent.right = null;
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}
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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 child = root;
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while (child != null) {
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Node 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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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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if (a.left != null)
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a.left.parent = a;
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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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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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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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}
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}
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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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}
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}
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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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}
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public static void main(String[] args) {
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AVLtree tree = new AVLtree();
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System.out.println("Inserting values 1 to 10");
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for (int i = 1; i < 10; i++)
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tree.insert(i);
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System.out.print("Printing balance: ");
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tree.printBalance();
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}
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}
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