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New Problem: kth max & min in BST #62

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TheSTL merged 10 commits into master from problems
Oct 10, 2019
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4 changes: 3 additions & 1 deletion README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -37,7 +37,9 @@ 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)
- [Suffix Tree](src/_DataStructures_/SuffixTree)

### Logical Problems
Expand Down
38 changes: 38 additions & 0 deletions src/_DataStructures_/Trees/BinarySearchTree/find-kth-max/index.js
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Original file line number Diff line number Diff line change
@@ -0,0 +1,38 @@
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;
40 changes: 40 additions & 0 deletions src/_DataStructures_/Trees/BinarySearchTree/find-kth-min/index.js
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Original file line number Diff line number Diff line change
@@ -0,0 +1,40 @@
// 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);

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

module.exports = findKthMin;

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