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Bst.js
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Bst.js
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/**Binary Search Tree */
class Node {
constructor(data, left = null, right = null) {
this.data = data;
this.left = left;
this.right = right;
}
}
class BST {
constructor() {
this.root = null;
}
add(data) {
const node = this.root;
if (node === null) {
this.root = new Node(data);
return;
} else {
const searchTree = function (node) {
if (data < node.data) {
if (node.left === null) {
node.left = new Node(data);
return;
} else if (node.left !== null) {
return searchTree(node.left);
}
} else if (data > node.data) {
if (node.right === null) {
node.right = new Node(data);
return;
} else if (node.right !== null) {
return searchTree(node.right);
}
} else {
return null;
}
};
return searchTree(node);
}
} // End add
findMin() {
let current = this.root;
while (current.left !== null) {
current = current.left;
}
return current.data;
} // End findMin
findMax() {
let current = this.root;
while (current.right !== null) {
current = current.right;
}
return current.data;
} // End findMax
find(data) {
let current = this.root;
while (current.data !== data) {
if (data < current.data) {
current = current.left;
} else {
current = current.right;
}
if (current === null) {
return null;
}
}
return current;
} // End find
isPresent(data) {
let current = this.root;
while (current) {
if (data === current.data) {
return true;
}
if (data < current.data) {
current = current.left;
} else {
current = current.right;
}
}
return false;
} // End isPresent
remove(data) {
const removeNode = function (node, data) {
if (node == null) {
return null;
}
if (data == node.data) {
// node has no children
if (node.left == null && node.right == null) {
return null;
}
// node has no left child
if (node.left == null) {
return node.right;
}
// node has no right child
if (node.right == null) {
return node.left;
}
// node has two children
var tempNode = node.right;
while (tempNode.left !== null) {
tempNode = tempNode.left;
}
node.data = tempNode.data;
node.right = removeNode(node.right, tempNode.data);
return node;
} else if (data < node.data) {
node.left = removeNode(node.left, data);
return node;
} else {
node.right = removeNode(node.right, data);
return node;
}
}; // End removeNode
this.root = removeNode(this.root, data);
} // End remove
isBalanced() {
return this.findMinHeight() >= this.findMaxHeight() - 1;
} // End isBalanced
findMinHeight(node = this.root) {
if (node == null) {
return -1;
}
let left = this.findMinHeight(node.left);
let right = this.findMinHeight(node.right);
if (left < right) {
return left + 1;
} else {
return right + 1;
}
} // End findMinHeight
findMaxHeight(node = this.root) {
if (node == null) {
return -1;
}
let left = this.findMaxHeight(node.left);
let right = this.findMaxHeight(node.right);
if (left > right) {
return left + 1;
} else {
return right + 1;
}
} // End findMaxHeight
inOrder() {
if (this.root == null) {
return null;
} else {
let result = new Array();
function traverseInOrder(node) {
node.left && traverseInOrder(node.left);
result.push(node.data);
node.right && traverseInOrder(node.right);
}
traverseInOrder(this.root);
return result;
}
} // End inOrder
preOrder() {
if (this.root == null) {
return null;
} else {
let result = new Array();
function traversePreOrder(node) {
result.push(node.data);
node.left && traversePreOrder(node.left);
node.right && traversePreOrder(node.right);
}
traversePreOrder(this.root);
return result;
}
} // End preOrder
postOrder() {
if (this.root == null) {
return null;
} else {
let result = new Array();
function traversePostOrder(node) {
node.left && traversePostOrder(node.left);
node.right && traversePostOrder(node.right);
result.push(node.data);
}
traversePostOrder(this.root);
return result;
}
} // End postOrder
levelOrder() {
let result = [];
let Q = [];
if (this.root != null) {
Q.push(this.root);
while (Q.length > 0) {
let node = Q.shift();
result.push(node.data);
if (node.left != null) {
Q.push(node.left);
}
if (node.right != null) {
Q.push(node.right);
}
}
return result;
} else {
return null;
}
} // End levelOrder
} // End BST
const bst = new BST();
// bst.add(4);
// bst.add(2);
// bst.add(6);
// bst.add(1);
// bst.add(3);
// bst.add(5);
// bst.add(7);
// bst.remove(4);
// console.log(bst.findMin());
// console.log(bst.findMax());
// bst.remove(7);
// console.log(bst.findMax());
// console.log(bst.isPresent(4));
// console.log(JSON.stringify(bst));
bst.add(9);
bst.add(4);
bst.add(17);
bst.add(3);
bst.add(6);
bst.add(22);
bst.add(5);
bst.add(7);
bst.add(20);
console.log(bst.findMinHeight());
console.log(bst.findMaxHeight());
console.log(bst.isBalanced());
bst.add(10);
console.log(bst.findMinHeight());
console.log(bst.findMaxHeight());
console.log(bst.isBalanced());
console.log("in order:", bst.inOrder());
console.log("pre order:", bst.preOrder());
console.log("post order:", bst.postOrder());
console.log("level order:", bst.levelOrder());