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/* Binary Search Tree!!
*
* Nodes that will go on the Binary Tree.
* 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.
*
* 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.
*/
// class Node
constNode=(functionNode(){
// Node in the tree
functionNode(val){
this.value=val
this.left=null
this.right=null
}
// Search the tree for a value
Node.prototype.search=function(val){
if(this.value===val){
returnthis
}elseif(val<this.value&&this.left!==null){
returnthis.left.search(val)
}elseif(val>this.value&&this.right!==null){
returnthis.right.search(val)
}
returnnull
}
// Visit a node
Node.prototype.visit=function(output=(value)=>console.log(value)){
// Recursively go left
if(this.left!==null){
this.left.visit()
}
// Print out value
output(this.value)
// Recursively go right
if(this.right!==null){
this.right.visit()
}
}
// Add a node
Node.prototype.addNode=function(n){
if(n.value<this.value){
if(this.left===null){
this.left=n
}else{
this.left.addNode(n)
}
}elseif(n.value>this.value){
if(this.right===null){
this.right=n
}else{
this.right.addNode(n)
}
}
}
// remove a node
Node.prototype.removeNode=function(val){
if(val===this.value){
if(!this.left&&!this.right){
returnnull
}else{
if(this.left){
constleftMax=maxVal(this.left)
this.value=leftMax
this.left=this.left.removeNode(leftMax)
}else{
constrightMin=minVal(this.right)
this.value=rightMin
this.right=this.right.removeNode(rightMin)
}
}
}elseif(val<this.value){
this.left=this.left&&this.left.removeNode(val)
}elseif(val>this.value){
this.right=this.right&&this.right.removeNode(val)
}
returnthis
}
// find maximum value in the tree
constmaxVal=function(node){
if(!node.right){
returnnode.value
}
returnmaxVal(node.right)
}
// find minimum value in the tree
constminVal=function(node){
if(!node.left){
returnnode.value
}
returnminVal(node.left)
}
// returns the constructor
returnNode
})()
// class Tree
constTree=(function(){
functionTree(){
// Just store the root
this.root=null
}
// Inorder traversal
Tree.prototype.traverse=function(){
if(!this.root){
// No nodes are there in the tree till now
return
}
this.root.visit()
}
// Start by searching the root
Tree.prototype.search=function(val){
constfound=this.root.search(val)
if(found!==null){
returnfound.value
}
// not found
returnnull
}
// Add a new value to the tree
Tree.prototype.addValue=function(val){
constn=newNode(val)
if(this.root===null){
this.root=n
}else{
this.root.addNode(n)
}
}
// remove a value from the tree
Tree.prototype.removeValue=function(val){
// remove something if root exists
this.root=this.root&&this.root.removeNode(val)
}
// returns the constructor
returnTree
})()
export{Tree}