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AVLTree.java
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212 lines (172 loc) · 4.88 KB
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public class AVLtree {
private Node root;
private class Node {
private int key;
private int balance;
private int height;
private Node left, right, parent;
Node(int k, Node p) {
key = k;
parent = p;
}
}
public boolean insert(int key) {
if (root == null)
root = new Node(key, null);
else {
Node n = root;
Node parent;
while (true) {
if (n.key == key)
return false;
parent = n;
boolean goLeft = n.key > key;
n = goLeft ? n.left : n.right;
if (n == null) {
if (goLeft) {
parent.left = new Node(key, parent);
} else {
parent.right = new Node(key, parent);
}
rebalance(parent);
break;
}
}
}
return true;
}
private void delete(Node node){
if(node.left == null && node.right == null){
if(node.parent == null) root = null;
else{
Node parent = node.parent;
if(parent.left == node){
parent.left = null;
}else parent.right = null;
rebalance(parent);
}
return;
}
if(node.left!=null){
Node child = node.left;
while (child.right!=null) child = child.right;
node.key = child.key;
delete(child);
}else{
Node child = node.right;
while (child.left!=null) child = child.left;
node.key = child.key;
delete(child);
}
}
public void delete(int delKey) {
if (root == null)
return;
Node node = root;
Node child = root;
while (child != null) {
node = child;
child = delKey >= node.key ? node.right : node.left;
if (delKey == node.key) {
delete(node);
return;
}
}
}
private void rebalance(Node n) {
setBalance(n);
if (n.balance == -2) {
if (height(n.left.left) >= height(n.left.right))
n = rotateRight(n);
else
n = rotateLeftThenRight(n);
} else if (n.balance == 2) {
if (height(n.right.right) >= height(n.right.left))
n = rotateLeft(n);
else
n = rotateRightThenLeft(n);
}
if (n.parent != null) {
rebalance(n.parent);
} else {
root = n;
}
}
private Node rotateLeft(Node a) {
Node b = a.right;
b.parent = a.parent;
a.right = b.left;
if (a.right != null)
a.right.parent = a;
b.left = a;
a.parent = b;
if (b.parent != null) {
if (b.parent.right == a) {
b.parent.right = b;
} else {
b.parent.left = b;
}
}
setBalance(a, b);
return b;
}
private Node rotateRight(Node a) {
Node b = a.left;
b.parent = a.parent;
a.left = b.right;
if (a.left != null)
a.left.parent = a;
b.right = a;
a.parent = b;
if (b.parent != null) {
if (b.parent.right == a) {
b.parent.right = b;
} else {
b.parent.left = b;
}
}
setBalance(a, b);
return b;
}
private Node rotateLeftThenRight(Node n) {
n.left = rotateLeft(n.left);
return rotateRight(n);
}
private Node rotateRightThenLeft(Node n) {
n.right = rotateRight(n.right);
return rotateLeft(n);
}
private int height(Node n) {
if (n == null)
return -1;
return n.height;
}
private void setBalance(Node... nodes) {
for (Node n : nodes)
reheight(n);
n.balance = height(n.right) - height(n.left);
}
public void printBalance() {
printBalance(root);
}
private void printBalance(Node n) {
if (n != null) {
printBalance(n.left);
System.out.printf("%s ", n.balance);
printBalance(n.right);
}
}
private void reheight(Node node){
if(node!=null){
node.height=1 + Math.max(height(node.left), height(node.right));
}
}
public static void main(String[] args) {
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();
}
}