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January 13, 2018 20:26
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Largest smaller binary search tree key - javascript
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/********************************************************* | |
* CODE INSTRUCTIONS: * | |
* 1) The method findLargestSmallerKey you're * | |
* asked to implement is located at line 26. * | |
* 2) Use the helper code below to implement it. * | |
* 3) In a nutshell, the helper code allows you to * | |
* to build a Binary Search Tree. * | |
* 4) Jump to line 71 to see an example for how the * | |
* helper code is used to test findLargestSmallerKey. * | |
*********************************************************/ | |
// Constructor to create a new Node | |
function Node(key) { | |
this.key = key; | |
this.parent = null; | |
this.left = null; | |
this.right = null; | |
} | |
// Constructor to create a new BST | |
function BinarySearchTree() { | |
this.root = null; | |
} | |
BinarySearchTree.prototype.findLargestSmallerKey = function(num) { | |
// your code goes here | |
var helper = function (node) { | |
if(num <= node.key) { | |
var left = node.left | |
if(left == undefined) { | |
return -1 | |
} | |
else | |
{ | |
return helper(node.left) | |
} | |
} | |
if(num > node.key) | |
{ | |
if(node.right == undefined) { | |
return node.key | |
} | |
else | |
{ | |
return helper(node.right) | |
} | |
} | |
return -1 | |
} | |
return helper(this.root) | |
} | |
// Creates a new node by a key and inserts it to the BST | |
BinarySearchTree.prototype.insert = function(key) { | |
var root = this.root; | |
// 1. If the tree is empty, create the root | |
if(!root) { | |
this.root = new Node(key); | |
return; | |
} | |
// 2) Otherwise, create a node with the key | |
// and traverse down the tree to find where to | |
// to insert the new node | |
var currentNode = root; | |
var newNode = new Node(key); | |
while(currentNode !== null) { | |
if(key < currentNode.key) { | |
if(!currentNode.left) { | |
currentNode.left = newNode; | |
newNode.parent = currentNode; | |
break; | |
} else { | |
currentNode = currentNode.left; | |
} | |
} else { | |
if(!currentNode.right) { | |
currentNode.right = newNode; | |
newNode.parent = currentNode; | |
break; | |
} else { | |
currentNode = currentNode.right; | |
} | |
} | |
} | |
} | |
/********************************************* | |
* Driver program to test above function * | |
*********************************************/ | |
// Create a Binary Search Tree | |
var bst = new BinarySearchTree(); | |
bst.insert(20); | |
bst.insert(9); | |
bst.insert(25); | |
bst.insert(5); | |
bst.insert(12); | |
bst.insert(11); | |
bst.insert(14); | |
var result = bst.findLargestSmallerKey(17); | |
console.log("Largest smaller number is " + result); |
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