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Copy pathjs_binary_search_tree.js
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217 lines (181 loc) · 5.72 KB
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let BinarySearchTree = (function(){
class Node{
constructor(key){
this.key = key;
this.left = null;
this.right = null;
}
}
const root = new WeakMap();
class BinarySearchTree{
constructor(){
root.set(this,null);
this._insertNode = this._insertNode.bind(this);
this._searchNode = this._searchNode.bind(this);
this._inOrderTraverse = this._inOrderTraverse.bind(this);
this._preOrderTraverse = this._preOrderTraverse.bind(this);
this._postOrderTraverse = this._postOrderTraverse.bind(this);
this._minNode = this._minNode.bind(this);
this._maxNode = this._maxNode.bind(this);
this._removeNode = this._removeNode.bind(this);
this._findMinNode = this._findMinNode.bind(this);
this.getRoot = this.getRoot.bind(this);
}
insert(key){
let newNode = new Node(key);
if (this.getRoot() === null){
root.set(this,newNode);
} else {
this._insertNode(this.getRoot(),newNode);
}
}
_insertNode(node, newNode){
if (newNode.key < node.key){
if( node.left === null){
node.left = newNode;
}else {
this._insertNode(node.left,newNode);
}
} else {
if( node.right === null){
node.right = newNode;
}else {
this._insertNode(node.right,newNode);
}
}
}
search(key){
return this._searchNode(this.getRoot(),key);
}
_searchNode(node,key){
if (node === null)
return false;
if (key < node.key){
return this._searchNode(node.left,key);
} else if (key > node.key){
return this._searchNode(node.right,key);
} else {
return true;
}
}
min(){
return this._minNode(this.getRoot());
}
_minNode(node){
if (node){
while(node && node.left){
node = node.left;
}
return node.key;
}
return null;
}
max(){
return this._maxNode(this.getRoot());
}
_maxNode(node){
if (node){
while(node && node.right){
node = node.right;
}
return node.key;
}
return null;
}
//left - root - right
inOrderTraverse(callback){
return this._inOrderTraverse(this.getRoot(),callback);
}
_inOrderTraverse(node,callback){
if(node !== null){
this._inOrderTraverse(node.left,callback);
callback(node.key);
this._inOrderTraverse(node.right,callback);
}
}
//root - left - right
preOrderTraverse(callback){
return this._preOrderTraverse(this.getRoot(),callback);
}
_preOrderTraverse(node,callback){
if(node !== null){
callback(node.key);
this._preOrderTraverse(node.left,callback);
this._preOrderTraverse(node.right,callback);
}
}
//left - right - root
postOrderTraverse(callback){
return this._postOrderTraverse(this.getRoot(),callback);
}
_postOrderTraverse(node,callback){
if(node !== null){
this._postOrderTraverse(node.left,callback);
this._postOrderTraverse(node.right,callback);
callback(node.key);
}
}
remove(key){
root.set(this,this._removeNode(this.getRoot(),key));
}
_removeNode(node,key){
if (node === null){
return null;
}
if (key < node.key){
node.left = this._removeNode(node.left, key);
return node;
}else if (key > node.key){
node.right = this._removeNode(node.right,key);
return node;
}else{
//handle 3 cases
//leaf node
if (node.left == null && node.right == null){
node = null;
return node;
}
//1 child node
if (node.left === null){
node = node.right;
return node;
}else if (node.right === null){
node = node.left;
return node;
}
//2 child
let aux = this._findMinNode(node.right);
node.key = aux.key;
node.right = this._removeNode(node.right,aux.key);
return node;
}
}
_findMinNode(node){
while(node && node.left !== null){
node = node.left;
}
return node;
}
getRoot(){
return root.get(this);
}
}
return BinarySearchTree;
})();
let BST = new BinarySearchTree();
BST.insert(11);
BST.insert(4);
BST.insert(5);
BST.insert(12);
BST.insert(13);
BST.insert(17);
BST.insert(14);
BST.insert(18);
console.log(BST.getRoot());
console.log(BST.search(12));
BST.inOrderTraverse(value=>{console.log('in:'+value)});
BST.preOrderTraverse(value=>{console.log('pre:'+value)});
BST.postOrderTraverse(value=>{console.log('post:'+value)});
console.log(BST.min());
console.log(BST.max());
BST.remove(17);