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main.js
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main.js
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class Tree {
constructor() {
this.root = null
}
buildTree = function(array, start = 0, end = array.length - 1) {
if (start > end) {
return null;
}
let mid = Math.floor((start + end) / 2);
let root = new TreeNode(array[mid]);
root.left = this.buildTree(array, start, mid-1);
root.right = this.buildTree(array, mid+1, end);
return root;
}
buildUnbalancedTree = function(array) {
if (array.length == 0) {
return null;
}
let root = new TreeNode(array[0]);
array.shift()
root.left = this.buildUnbalancedTree(array);
root.right = this.buildUnbalancedTree(array);
return root;
}
insert = function(insert) {
this.root = this.recursionInsert(this.root, insert);
}
recursionInsert = function(root, insert) {
if (root == null) {
root = new TreeNode(insert);
return root;
}
if (insert < root.key) {
root.left = this.recursionInsert(root.left, insert);
} else if (insert > root.key) {
root.right = this.recursionInsert(root.right, insert);
}
return root;
}
delete = function(remove) {
this.root = this.deleteNode(this.root, remove);
}
deleteNode = function(root, remove) {
//If no root matches value, return
if (root == null) {
return root
}
if (remove < root.key) {
root.left = this.deleteNode(root.left, remove);
} else if (remove > root.key) {
root.right = this.deleteNode(root.right, remove);
} else {
if (root.left == null) {
return root.right
}
else if (root.right == null) {
return root.left
}
root.key = this.minValue(root.right);
root.right = this.deleteNode(root.right, root.key)
}
return root
}
minValue = function (root) {
let minv = root.key;
while (root.left != null) {
minv = root.left.key;
root = root.left;
}
return minv;
}
find = function(findValue) {
if(!findValue || !this.root) {
return null
}
let root = this.root;
let found = false;
while (!found && root) {
if (findValue == root.key) {
found = root
}
if (findValue < root.key) {
root = root.left;
} else if (findValue > root.key) {
root = root.right;
}
}
if (found !== false) return found;
if (found == false) return "Value not found";
}
exploreNodes = function() {
let root = this.root;
if (!root) return
let result = []
let queue = [root];
while (queue.length !== 0) {
let subarr = []
let n = queue.length
for (let i = 0; i < n; i++) {
let node = queue.pop()
subarr.push(node.key)
if (node.left) {
queue.unshift(node.left)
}
if (node.right) {
queue.unshift(node.right)
}
}
result.push(subarr)
}
let newResult = []
for (let index = 0; index <= result.length; index++) {
newResult = newResult.concat(result[index]);
}
newResult.pop()
return newResult
}
levelOrder = function() {
let valueFunc = this.exploreNodes();
return(valueFunc)
}
preorder(func) {
let preorderVal = this.preorderRecur(this.root);
func(preorderVal)
}
preorderRecur = function(root, arr = []) {
if(!root) {
return null
}
arr.push(root.key);
if (root.left) {
this.preorderRecur(root.left, arr);
}
if (root.right) {
this.preorderRecur(root.right, arr);
}
return arr;
}
inorder = function(func) {
let preorderVal = this.inorderRecur(this.root);
func(preorderVal)
}
inorderRecur = function(root, arr = []) {
if(!root) {
return null
}
if (root.left) {
this.inorderRecur(root.left, arr);
}
arr.push(root.key);
if (root.right) {
this.inorderRecur(root.right, arr);
}
return arr;
}
postorder = function(func) {
let preorderVal = this.postorderRecur(this.root);
func(preorderVal)
}
postorderRecur = function(root, arr = []) {
if(!root) {
return null
}
if (root.left) {
this.postorderRecur(root.left, arr);
}
if (root.right) {
this.postorderRecur(root.right, arr);
}
arr.push(root.key);
return arr;
}
height = function(root) {
if (root == null) {
return 0
}
return Math.max(this.height(root.left), this.height(root.right)) + 1
}
nodeHeight = function(findValue) {
let foundValue = this.find(findValue)
return this.height(foundValue)
}
depth = function(findValue) {
let foundValue = this.find(findValue)
let valueHeight = this.height(foundValue)
let rootHeight = (this.nodeHeight(this.root.key))
return rootHeight - valueHeight
}
isBalanced = function(root) {
if(root == null) {
return true
}
let leftHeight = this.height(root.left)
let rightHeight = this.height(root.right)
if (Math.abs(leftHeight - rightHeight) <= 1
&& this.isBalanced(root.left)== true
&& this.isBalanced(root.right) == true) {
return true
}
return false
}
checkBalance = function() {
let thisTree = this.root
return this.isBalanced(thisTree);
}
rebalance = function() {
//rebalance an unbalanced tree
//find the unbalanced tree and save it as a value
let thisTree = this.root
//make an array from the unbalanced tree
let treeArray = this.preorderRecur(thisTree)
//take the array and rebalance it using the buildTree function
this.root = this.buildTree(treeArray)
}
}
class TreeNode {
constructor(key) {
this.key = key;
this.left = null;
this.right = null;
}
}
const prettyPrint = (node, prefix = '', isLeft = true) => {
if (node === null) {
return;
}
if (node.right !== null) {
prettyPrint(node.right, `${prefix}${isLeft ? '│ ' : ' '}`, false);
}
console.log(`${prefix}${isLeft ? '└── ' : '┌── '}${node.key}`);
if (node.left !== null) {
prettyPrint(node.left, `${prefix}${isLeft ? ' ' : '│ '}`, true);
}
}
function driverScript() {
// Create a binary search tree from an array of random numbers.
let randomNoArr = [3, 54, 21, 787, 25, 76, 83, 43, 12, 938]
console.log(randomNoArr.sort((a,b) => a-b));
let driverTree = new Tree;
driverTree.root = driverTree.buildTree(randomNoArr);
prettyPrint(driverTree.root);
// Confirm that the tree is balanced by calling isBalanced
console.log(driverTree.isBalanced())
// Print out all elements in level, pre, post, and in order
console.log(driverTree.levelOrder())
console.log(driverTree.preorderRecur(driverTree.root))
console.log(driverTree.postorderRecur(driverTree.root))
console.log(driverTree.inorderRecur(driverTree.root))
// Unbalance the tree by adding several numbers > 100
driverTree.root = driverTree.buildUnbalancedTree(randomNoArr);
prettyPrint(driverTree.root);
// Confirm that the tree is unbalanced by calling isBalanced
console.log(driverTree.checkBalance())
// Balance the tree by calling rebalance
driverTree.rebalance()
prettyPrint(driverTree.root)
console.log(driverTree.checkBalance())
console.log(driverTree.levelOrder())
console.log(driverTree.preorderRecur(driverTree.root))
console.log(driverTree.postorderRecur(driverTree.root))
console.log(driverTree.inorderRecur(driverTree.root))
// Confirm that the tree is balanced by calling isBalanced
// Print out all elements in level, pre, post, and in order
}
driverScript()