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// Written by Ira Snyder// Due Date: 11-24-2004// Project #4import java.io.*;import java.util.*;class AVLTree {private int key, height;private AVLTree left, right;public static final AVLTree NIL = new AVLTree();public AVLTree( int key ) {this.key = key;left = right = NIL;}public boolean add( int key ) {int oldSize = size();grow(key);return size() > oldSize;}public AVLTree grow( int key ) {if( this == NIL ) return new AVLTree(key);if( key == this.key ) return this; //prevent key dupesif( key < this.key ) left = left.grow(key);else right = right.grow(key);rebalance();height = 1 + Math.max(left.height,right.height);return this;}public int size() {if( this == NIL ) return 0;return 1 + left.size() + right.size();}//I like the BinaryTree toString better than the author's toString()//so I used it here instead. I left the author's code for completeness./*public String toString() {if( this == NIL ) return "";return left + " " + key + " " + right;}*/public String toString() {if( this == NIL ) return "()";String sLeft = sLeft = left.toString();String sRight = sRight = right.toString();String answer = new String();//assemble the string to returnanswer = "(";if( !sLeft.equals("()") ) { answer += sLeft + ","; }answer += key;if( !sRight.equals("()") ) { answer += "," + sRight; }answer += ")";//return the assembled stringreturn answer;}private AVLTree() { //construct the empty treeleft = right = this;height = -1;}private AVLTree( int key, AVLTree left, AVLTree right ) {this.key = key;this.left = left;this.right = right;height = 1 + Math.max(left.height,right.height);}private void rebalance() {if( right.height > (left.height + 1) ) {if( right.left.height > right.right.height ) right.rotateRight();rotateLeft();}else if( left.height > (right.height + 1) ) {if( left.right.height > left.left.height ) left.rotateLeft();rotateRight();}}private void rotateLeft() {left = new AVLTree(key,left,right.left);key = right.key;right = right.right;}private void rotateRight() {right = new AVLTree(key,left.right,right);key = left.key;left = left.left;}// new functions from Prog. Probs PG 411public int getHeight() { return height; }public AVLTree getLeft() {if( this == NIL ) { return NIL; }return left;}public AVLTree getRight() {if( this == NIL ) { return NIL; }return right;}public int getRoot() {return key;}public boolean contains( int x ) {if( this == NIL ) { return false; }if( key == x ) { return true; }return left.contains(x) || right.contains(x);}// am guessing this returns the tree with x == key as the rootpublic AVLTree get( int x ) {if( this == NIL ) { return NIL; }if( x == key ) { return this; }if( x < key ) { return left.get(x); }return right.get(x);}public boolean equals( Object object ) {if( !(object instanceof AVLTree) ) { return false; }AVLTree temp = (AVLTree)object; //make it typedboolean l=false, r=false;//check the leftif( left == NIL && temp.left == NIL ) l = true;else l = left.equals(temp.left);//check the rightif( right == NIL && temp.right == NIL ) r = true;else r = right.equals(temp.right);return (temp.key == key) && l && r;}public AVLTree( int[] a ) {this(a[0]); //create a new tree//call add() for every element in the arrayfor( int i=1; i < a.length; i++ ) add(a[i]);}/*public boolean remove( int key ) {if( this == NIL ) { return false; }if( key < this.key ) { return left.remove(key); }if( key > this.key ) { return right.remove(key); }if( left == NIL && right == NIL ) { this = NIL; return true; }if( left == NIL ) {this = new AVLTree(right.key,right.left,right.right);return true;}if( right == NIL ) {this = new AVLTree(left.key,left.left,left.right);return true;}this = new AVLTree( deleteMinimum(right) );rebalance(); //fix the balancereturn true;}private int deleteMinimum( AVLTree tree ) {int tempKey=0;if( left == NIL ) {tempKey = key;this = new AVLTree(right.key,right.left,right.right);}if( left.left == NIL && left.right == NIL ) {tempKey = key;this = new AVLTree(left.key,left.left,right.right);}return deleteMinimum(left);}*/} //end AVLTree class