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3 New Problems on BST #63

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Merged
ashokdey merged 19 commits into master from trees
Oct 11, 2019
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05184c4
update: find k-th max in BST
ashokdey Oct 10, 2019
4a75147
update: entry in readme
ashokdey Oct 10, 2019
93af26e
Merge branch 'master' of github.com:knaxus/problem-solving-javascript...
ashokdey Oct 10, 2019
f376135
fix: closing of `<sup>`
ashokdey Oct 10, 2019
0ff8d47
fix: typo error
ashokdey Oct 10, 2019
0bf9860
update: find kth min & throw error for invalid K
ashokdey Oct 10, 2019
4980e96
Merge branch 'problems' of github.com:knaxus/problem-solving-javascri...
ashokdey Oct 10, 2019
ca93db3
update: entry in README & folder rename
ashokdey Oct 10, 2019
b4507f1
update: rename folder and fix condition for K
ashokdey Oct 10, 2019
ab8b038
update: fix entries in readme
ashokdey Oct 10, 2019
81c88b8
update: find all ancestors of a node
ashokdey Oct 10, 2019
252e912
update: entry in README
ashokdey Oct 10, 2019
c9e3a6a
update: reverse order of pushing nodes
ashokdey Oct 10, 2019
c4a733a
update: height of BST
ashokdey Oct 10, 2019
c95821c
update: entry in README
ashokdey Oct 10, 2019
a75e950
update: Find k nodes from the root
ashokdey Oct 10, 2019
6416cfc
update: entry in README
ashokdey Oct 10, 2019
97f8f94
fix: change in code, return null when node not found
ashokdey Oct 11, 2019
28e73b5
update: fix the edge case using array approach
ashokdey Oct 11, 2019
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7 changes: 6 additions & 1 deletion README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -37,7 +37,12 @@ Collection of interview questions with Unit Tests. Problems includes Data Struct
- [Doubly Linked List](src/_DataStructures_/DoublyLinkedList)

- [Trees](src/_DataStructures_/Trees)
- [Binary Search Tree](src/_DataStructures_/Trees/BST)
- [Binary Search Tree](src/_DataStructures_/Trees/BinarySearchTree)
- [Find k<sup>th</sup> maximum in a BinarySearchTree](src/_DataStructures_/Trees/BinarySearchTree/find-kth-max)
- [Find k<sup>th</sup> minimum in a BinarySearchTree](src/_DataStructures_/Trees/BinarySearchTree/find-kth-min)
- [Find Ancestors of a Node](src/_DataStructures_/Trees/BinarySearchTree/find-ancestors)
- [Find Height of BST](src/_DataStructures_/Trees/BinarySearchTree/height-of-bst)
- [Find k Nodes from Root of BST](src/_DataStructures_/Trees/BinarySearchTree/find-k-nodes-from-root)
- [Suffix Tree](src/_DataStructures_/SuffixTree)

### Logical Problems
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@@ -0,0 +1,49 @@
// eslint-disable-next-line no-unused-vars
const BST = require('../index');

/** You should go through this conversation here:
* https://github.com/knaxus/problem-solving-javascript/pull/63
*/

function findAncestors(root, value) {
/**
* search the given node and meanwhile
* keep pushing the visited nodes
*/
if (root === null) return false;

if (value < root.value) {
const left = findAncestors(root.leftChild, value);
if (left) {
return [...left, root.value];
}
return false;
}

if (value > root.value) {
const right = findAncestors(root.rightChild, value);
if (right) {
return [...right, root.value];
}
return false;
}

if (value === root.value) return [];
return false;
}

// create a BST
// const myBST = new BST(6);
// myBST.add(4);
// myBST.add(9);
// myBST.add(2);
// myBST.add(5);
// myBST.add(14);
// myBST.add(8);
// myBST.add(12);
// myBST.add(10);

// console.log(findAncestors(myBST.root, 10));
// console.log(findAncestors(myBST.root, 101));

module.exports = findAncestors;
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@@ -0,0 +1,33 @@
// eslint-disable-next-line no-unused-vars
const BST = require('../index');

function findKNodes(root, k) {
let arr = [];

if (root === null) return [];
if (k === 0) return [...arr, root.value];

const left = findKNodes(root.leftChild, k - 1);
arr = [...arr, ...left];

const right = findKNodes(root.rightChild, k - 1);
arr = [...arr, ...right];
return arr;
}

// create a BST
// const myBST = new BST(6);

// myBST.add(2);
// myBST.add(19);
// myBST.add(14);
// myBST.add(8);
// myBST.add(5);
// myBST.add(12);
// myBST.add(33);
// myBST.add(52);
// myBST.add(1);

// console.log(findKNodes(myBST.root, 2));

module.exports = findKNodes;
39 changes: 39 additions & 0 deletions src/_DataStructures_/Trees/BinarySearchTree/find-kth-max/index.js
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@@ -0,0 +1,39 @@
// eslint-disable-next-line no-unused-vars
const BST = require('../index');

// Inorder traversal returns a sorted array
function inOrderTraversal(root) {
if (root === null) return [];
let arr = [];
// traverse left
const left = inOrderTraversal(root.leftChild);
arr = [...left, root.value];
const right = inOrderTraversal(root.rightChild);
return [...arr, ...right];
}

function findKthMax(rootNode, k) {
const arr = inOrderTraversal(rootNode);
if (k <= 0 || k > arr.lenth) {
throw new Error('Invalid value for K');
}
return arr[arr.length - k];
}

// // create a BST
// const myBST = new BST(6);

// myBST.add(2);
// myBST.add(19);
// myBST.add(14);
// myBST.add(8);
// myBST.add(5);
// myBST.add(12);
// myBST.add(33);
// myBST.add(52);
// myBST.add(1);

// // find 3rd max
// console.log(findKthMax(myBST.root, 3));

module.exports = findKthMax;
39 changes: 39 additions & 0 deletions src/_DataStructures_/Trees/BinarySearchTree/find-kth-min/index.js
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@@ -0,0 +1,39 @@
// eslint-disable-next-line no-unused-vars
const BST = require('../index');

// Inorder traversal returns a sorted array
function inOrderTraversal(root) {
if (root === null) return [];
let arr = [];
// traverse left
const left = inOrderTraversal(root.leftChild);
arr = [...left, root.value];
const right = inOrderTraversal(root.rightChild);
return [...arr, ...right];
}

function findKthMin(rootNode, k) {
const arr = inOrderTraversal(rootNode);
if (k <= 0 || k > arr.lenth) {
throw new Error('Invalid value for K');
}
return arr[k - 1];
}

// // create a BST
// const myBST = new BST(6);

// myBST.add(2);
// myBST.add(19);
// myBST.add(14);
// myBST.add(8);
// myBST.add(5);
// myBST.add(12);
// myBST.add(33);
// myBST.add(52);
// myBST.add(1);
// myBST.add(0);

// console.log(findKthMin(myBST.root, 3));

module.exports = findKthMin;
33 changes: 33 additions & 0 deletions src/_DataStructures_/Trees/BinarySearchTree/height-of-bst/index.js
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@@ -0,0 +1,33 @@
// eslint-disable-next-line no-unused-vars
const BST = require('../index');

function findHeightOfBST(root) {
let leftHeight = 0;
let rightHeight = 0;

if (root === null) return 0;
leftHeight = findHeightOfBST(root.leftChild);
rightHeight = findHeightOfBST(root.rightChild);

if (leftHeight > rightHeight) {
return leftHeight + 1;
}
return rightHeight + 1;
}

// create a BST
// const myBST = new BST(6);
// myBST.add(4);
// myBST.add(9);
// myBST.add(2);
// myBST.add(5);
// myBST.add(14);
// myBST.add(8);
// myBST.add(12);
// myBST.add(10);

// // console.log(myBST.root);
// console.log(myBST.traversePreorder());
// console.log(findHeightOfBST(myBST.root));

module.exports = findHeightOfBST;

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