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bst-typed

BST (Binary Search Tree). Javascript & Typescript Data Structure.

  • 1.21.4
  • Source
  • npm
  • Socket score

Version published
Weekly downloads
925
increased by297%
Maintainers
1
Weekly downloads
 
Created
Source

What

Brief

This is a standalone BST (Binary Search Tree) data structure from the data-structure-typed collection. If you wish to access more data structures or advanced features, you can transition to directly installing the complete data-structure-typed package

How

install

npm

npm i bst-typed

yarn

yarn add bst-typed

methods

snippet

TS
import {BST, BSTNode} from 'data-structure-typed';
// /* or if you prefer */ import {BST, BSTNode} from 'bst-typed';

const bst = new BST();
bst instanceof BST;                    // true
bst.add(11);
bst.add(3);
const idsAndValues = [15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5];
bst.addMany(idsAndValues);
bst.root instanceof BSTNode;           // true

if (bst.root) bst.root.id;             // 11

bst.size;                              // 16

bst.has(6);                            // true

const node6 = bst.get(6);
node6 && bst.getHeight(6);             // 2
node6 && bst.getDepth(6);              // 3

const nodeId10 = bst.get(10);
nodeId10?.id;                          // 10

const nodeVal9 = bst.get(9, 'val');
nodeVal9?.id;                          // 9


const leftMost = bst.getLeftMost();
leftMost?.id;                          // 1

const node15 = bst.get(15);
const minNodeBySpecificNode = node15 && bst.getLeftMost(node15);
minNodeBySpecificNode?.id;             // 12

const subTreeSum = node15 && bst.subTreeSum(15);
subTreeSum;                            // 70

const lesserSum = bst.lesserSum(10);
lesserSum;                             // 45

node15 instanceof BSTNode;             // true

const node11 = bst.get(11);
node11 instanceof BSTNode;             // true

const dfsInorderNodes = bst.DFS('in', 'node');
dfsInorderNodes[0].id;                 // 1
dfsInorderNodes[dfsInorderNodes.length - 1].id;            // 16

bst.perfectlyBalance();
bst.isPerfectlyBalanced();                                  // true

const bfsNodesAfterBalanced = bst.BFS('node');
bfsNodesAfterBalanced[0].id;                                // 8);
bfsNodesAfterBalanced[bfsNodesAfterBalanced.length - 1].id; // 16

const removed11 = bst.remove(11, true);
removed11 instanceof Array;                                 // true


if (removed11[0].deleted) removed11[0].deleted.id;          // 11

bst.isAVLBalanced();                                        // true

bst.getHeight(15);                                          // 1

const removed1 = bst.remove(1, true);
removed1 instanceof Array; // true

if (removed1[0].deleted) removed1[0].deleted.id;            // 1

bst.isAVLBalanced();                                        // true

bst.getHeight();                                            // 4

const removed4 = bst.remove(4, true);
removed4 instanceof Array;                                   // true

if (removed4[0].deleted) removed4[0].deleted.id;            // 4
bst.isAVLBalanced();                                        // true
bst.getHeight();                                            // 4

const removed10 = bst.remove(10, true);

if (removed10[0].deleted) removed10[0].deleted.id;           // 10
bst.isAVLBalanced();                                         // false
bst.getHeight();                                             // 4

const removed15 = bst.remove(15, true);

if (removed15[0].deleted) removed15[0].deleted.id;           // 15

bst.isAVLBalanced();                                         // true
bst.getHeight();                                             // 3

const removed5 = bst.remove(5, true);

if (removed5[0].deleted) removed5[0].deleted.id;              // 5

bst.isAVLBalanced();                                          // true
bst.getHeight();                                              // 3

const removed13 = bst.remove(13, true);
if (removed13[0].deleted) removed13[0].deleted.id;            // 13
bst.isAVLBalanced();                                          // true
bst.getHeight();                                              // 3

const removed3 = bst.remove(3, true);
if (removed3[0].deleted) removed3[0].deleted.id;               // 3
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed8 = bst.remove(8, true);
if (removed8[0].deleted) removed8[0].deleted.id;               // 8
bst.isAVLBalanced();                                           // true
bst.getHeight();                                               // 3

const removed6 = bst.remove(6, true);
if (removed6[0].deleted) removed6[0].deleted.id;               // 6
bst.remove(6, true).length;                                    // 0
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed7 = bst.remove(7, true);
if (removed7[0].deleted) removed7[0].deleted.id;               // 7
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed9 = bst.remove(9, true);
if (removed9[0].deleted) removed9[0].deleted.id;               // 9
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed14 = bst.remove(14, true);
if (removed14[0].deleted) removed14[0].deleted.id;             // 14
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 2

bst.isAVLBalanced();                                           // false

const bfsIDs = bst.BFS();
bfsIDs[0];                                                     // 2
bfsIDs[1];                                                     // 12
bfsIDs[2];                                                     // 16

const bfsNodes = bst.BFS('node');
bfsNodes[0].id;                                                // 2
bfsNodes[1].id;                                                // 12
bfsNodes[2].id;                                                // 16
JS
const {BST, BSTNode} = require('data-structure-typed');
// /* or if you prefer */ const {BST, BSTNode} = require('bst-typed');

const bst = new BST();
bst instanceof BST;                    // true
bst.add(11);
bst.add(3);
const idsAndValues = [15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5];
bst.addMany(idsAndValues);
bst.root instanceof BSTNode;           // true

if (bst.root) bst.root.id;             // 11

bst.size;                              // 16

bst.has(6);                            // true

const node6 = bst.get(6);
node6 && bst.getHeight(6);             // 2
node6 && bst.getDepth(6);              // 3

const nodeId10 = bst.get(10);
nodeId10?.id;                          // 10

const nodeVal9 = bst.get(9, 'val');
nodeVal9?.id;                          // 9


const leftMost = bst.getLeftMost();
leftMost?.id;                          // 1

const node15 = bst.get(15);
const minNodeBySpecificNode = node15 && bst.getLeftMost(node15);
minNodeBySpecificNode?.id;             // 12

const subTreeSum = node15 && bst.subTreeSum(15);
subTreeSum;                            // 70

const lesserSum = bst.lesserSum(10);
lesserSum;                             // 45

node15 instanceof BSTNode;             // true

const node11 = bst.get(11);
node11 instanceof BSTNode;             // true

const dfsInorderNodes = bst.DFS('in', 'node');
dfsInorderNodes[0].id;                 // 1
dfsInorderNodes[dfsInorderNodes.length - 1].id;            // 16

bst.perfectlyBalance();
bst.isPerfectlyBalanced();                                  // true

const bfsNodesAfterBalanced = bst.BFS('node');
bfsNodesAfterBalanced[0].id;                                // 8);
bfsNodesAfterBalanced[bfsNodesAfterBalanced.length - 1].id; // 16

const removed11 = bst.remove(11, true);
removed11 instanceof Array;                                 // true


if (removed11[0].deleted) removed11[0].deleted.id;          // 11

bst.isAVLBalanced();                                        // true

bst.getHeight(15);                                          // 1

const removed1 = bst.remove(1, true);
removed1 instanceof Array; // true

if (removed1[0].deleted) removed1[0].deleted.id;            // 1

bst.isAVLBalanced();                                        // true

bst.getHeight();                                            // 4

const removed4 = bst.remove(4, true);
removed4 instanceof Array;                                   // true

if (removed4[0].deleted) removed4[0].deleted.id;            // 4
bst.isAVLBalanced();                                        // true
bst.getHeight();                                            // 4

const removed10 = bst.remove(10, true);

if (removed10[0].deleted) removed10[0].deleted.id;           // 10
bst.isAVLBalanced();                                         // false
bst.getHeight();                                             // 4

const removed15 = bst.remove(15, true);

if (removed15[0].deleted) removed15[0].deleted.id;           // 15

bst.isAVLBalanced();                                         // true
bst.getHeight();                                             // 3

const removed5 = bst.remove(5, true);

if (removed5[0].deleted) removed5[0].deleted.id;              // 5

bst.isAVLBalanced();                                          // true
bst.getHeight();                                              // 3

const removed13 = bst.remove(13, true);
if (removed13[0].deleted) removed13[0].deleted.id;            // 13
bst.isAVLBalanced();                                          // true
bst.getHeight();                                              // 3

const removed3 = bst.remove(3, true);
if (removed3[0].deleted) removed3[0].deleted.id;               // 3
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed8 = bst.remove(8, true);
if (removed8[0].deleted) removed8[0].deleted.id;               // 8
bst.isAVLBalanced();                                           // true
bst.getHeight();                                               // 3

const removed6 = bst.remove(6, true);
if (removed6[0].deleted) removed6[0].deleted.id;               // 6
bst.remove(6, true).length;                                    // 0
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed7 = bst.remove(7, true);
if (removed7[0].deleted) removed7[0].deleted.id;               // 7
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed9 = bst.remove(9, true);
if (removed9[0].deleted) removed9[0].deleted.id;               // 9
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 3

const removed14 = bst.remove(14, true);
if (removed14[0].deleted) removed14[0].deleted.id;             // 14
bst.isAVLBalanced();                                           // false
bst.getHeight();                                               // 2

bst.isAVLBalanced();                                           // false

const bfsIDs = bst.BFS();
bfsIDs[0];                                                     // 2
bfsIDs[1];                                                     // 12
bfsIDs[2];                                                     // 16

const bfsNodes = bst.BFS('node');
bfsNodes[0].id;                                                // 2
bfsNodes[1].id;                                                // 12
bfsNodes[2].id;                                                // 16

API docs & Examples

API Docs

Live Examples

Examples Repository

Data Structures

Data StructureUnit TestPerformance TestAPI DocumentationImplemented
Binary Tree Binary Tree
Binary Search Tree (BST)BST
AVL TreeAVLTree
Tree MultisetTreeMultiset
Segment TreeSegmentTree
Binary Indexed TreeBinaryIndexedTree
GraphAbstractGraph
Directed GraphDirectedGraph
Undirected GraphUndirectedGraph
Linked ListSinglyLinkedList
Singly Linked ListSinglyLinkedList
Doubly Linked ListDoublyLinkedList
QueueQueue
Object DequeObjectDeque
Array DequeArrayDeque
StackStack
Coordinate SetCoordinateSet
Coordinate MapCoordinateMap
HeapHeap
Priority QueuePriorityQueue
Max Priority QueueMaxPriorityQueue
Min Priority QueueMinPriorityQueue
TrieTrie

Why

Complexities

performance of Big O

Big O NotationTypeComputations for 10 elementsComputations for 100 elementsComputations for 1000 elements
O(1)Constant111
O(log N)Logarithmic369
O(N)Linear101001000
O(N log N)n log(n)306009000
O(N^2)Quadratic100100001000000
O(2^N)Exponential10241.26e+291.07e+301
O(N!)Factorial36288009.3e+1574.02e+2567

Data Structure Complexity

Data StructureAccessSearchInsertionDeletionComments
Array1nnn
Stacknn11
Queuenn11
Linked Listnn1n
Hash Table-nnnIn case of perfect hash function costs would be O(1)
Binary Search TreennnnIn case of balanced tree costs would be O(log(n))
B-Treelog(n)log(n)log(n)log(n)
Red-Black Treelog(n)log(n)log(n)log(n)
AVL Treelog(n)log(n)log(n)log(n)
Bloom Filter-11-False positives are possible while searching

Sorting Complexity

NameBestAverageWorstMemoryStableComments
Bubble sortnn2n21Yes
Insertion sortnn2n21Yes
Selection sortn2n2n21No
Heap sortn log(n)n log(n)n log(n)1No
Merge sortn log(n)n log(n)n log(n)nYes
Quick sortn log(n)n log(n)n2log(n)NoQuicksort is usually done in-place with O(log(n)) stack space
Shell sortn log(n)depends on gap sequencen (log(n))21No
Counting sortn + rn + rn + rn + rYesr - biggest number in array
Radix sortn * kn * kn * kn + kYesk - length of longest key

overview diagram

complexities

complexities of data structures

Keywords

FAQs

Package last updated on 12 Sep 2023

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