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# What
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## Brief
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Javascript & TypeScript Data Structure collections.
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## Algorithms
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DFS, DFSIterative, BFS, morris, Bellman-Ford Algorithm, Dijkstra's Algorithm, Floyd-Warshall Algorithm, Tarjan's Algorithm. Listed only a few out, you can discover more in API docs
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## Code design
By strictly adhering to object-oriented design (BinaryTree -> BST -> AVLTree -> TreeMultiset), you can seamlessly inherit the existing data structures to implement the customized ones you need. Object-oriented design stands as the optimal approach to data structure design.
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# How
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### npm
```bash
npm install data-structure-typed
```
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## install
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### yarn
```bash
yarn add data-structure-typed
```
### Binary Search Tree (BST) snippet
#### TS
```typescript
import {BST, BSTNode} from 'data-structure-typed';
const bst = new BST();
bst.add(11);
bst.add(3);
bst.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]);
bst.size === 16; // true
bst.has(6); // true
const node6 = bst.get(6);
bst.getHeight(6) === 2; // true
bst.getHeight() === 5; // true
bst.getDepth(6) === 3; // true
const leftMost = bst.getLeftMost();
leftMost?.id === 1; // true
expect(leftMost?.id).toBe(1);
bst.remove(6);
bst.get(6); // null
bst.isAVLBalanced(); // true or false
const bfsIDs = bst.BFS();
bfsIDs[0] === 11; // true
expect(bfsIDs[0]).toBe(11);
const objBST = new BST< BSTNode < { id: number , keyA: number } > >();
objBST.add(11, {id: 11, keyA: 11});
objBST.add(3, {id: 3, keyA: 3});
objBST.addMany([{id: 15, keyA: 15}, {id: 1, keyA: 1}, {id: 8, keyA: 8},
{id: 13, keyA: 13}, {id: 16, keyA: 16}, {id: 2, keyA: 2},
{id: 6, keyA: 6}, {id: 9, keyA: 9}, {id: 12, keyA: 12},
{id: 14, keyA: 14}, {id: 4, keyA: 4}, {id: 7, keyA: 7},
{id: 10, keyA: 10}, {id: 5, keyA: 5}]);
objBST.remove(11);
const avlTree = new AVLTree();
avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5])
avlTree.isAVLBalanced(); // true
avlTree.remove(10);
avlTree.isAVLBalanced(); // true
```
#### JS
```javascript
const {BST, BSTNode} = require('data-structure-typed');
const bst = new BST();
bst.add(11);
bst.add(3);
bst.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]);
bst.size === 16; // true
bst.has(6); // true
const node6 = bst.get(6);
bst.getHeight(6) === 2; // true
bst.getHeight() === 5; // true
bst.getDepth(6) === 3; // true
const leftMost = bst.getLeftMost();
leftMost?.id === 1; // true
expect(leftMost?.id).toBe(1);
bst.remove(6);
bst.get(6); // null
bst.isAVLBalanced(); // true or false
const bfsIDs = bst.BFS();
bfsIDs[0] === 11; // true
expect(bfsIDs[0]).toBe(11);
const objBST = new BST();
objBST.add(11, {id: 11, keyA: 11});
objBST.add(3, {id: 3, keyA: 3});
objBST.addMany([{id: 15, keyA: 15}, {id: 1, keyA: 1}, {id: 8, keyA: 8},
{id: 13, keyA: 13}, {id: 16, keyA: 16}, {id: 2, keyA: 2},
{id: 6, keyA: 6}, {id: 9, keyA: 9}, {id: 12, keyA: 12},
{id: 14, keyA: 14}, {id: 4, keyA: 4}, {id: 7, keyA: 7},
{id: 10, keyA: 10}, {id: 5, keyA: 5}]);
objBST.remove(11);
const avlTree = new AVLTree();
avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5])
avlTree.isAVLBalanced(); // true
avlTree.remove(10);
avlTree.isAVLBalanced(); // true
```
### Directed Graph simple snippet
#### TS or JS
```typescript
import {DirectedGraph} from 'data-structure-typed';
const graph = new DirectedGraph();
graph.addVertex('A');
graph.addVertex('B');
graph.hasVertex('A'); // true
graph.hasVertex('B'); // true
graph.hasVertex('C'); // false
graph.addEdge('A', 'B');
graph.hasEdge('A', 'B'); // true
graph.hasEdge('B', 'A'); // false
graph.removeEdgeSrcToDest('A', 'B');
graph.hasEdge('A', 'B'); // false
graph.addVertex('C');
graph.addEdge('A', 'B');
graph.addEdge('B', 'C');
const topologicalOrderIds = graph.topologicalSort(); // ['A', 'B', 'C']
```
### Undirected Graph snippet
#### TS or JS
```typescript
import {UndirectedGraph} from 'data-structure-typed';
const graph = new UndirectedGraph();
graph.addVertex('A');
graph.addVertex('B');
graph.addVertex('C');
graph.addVertex('D');
graph.removeVertex('C');
graph.addEdge('A', 'B');
graph.addEdge('B', 'D');
const dijkstraResult = graph.dijkstra('A');
Array.from(dijkstraResult?.seen ?? []).map(vertex => vertex.id) // ['A', 'B', 'D']
```
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## Data Structures
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< table >
< thead >
< tr >
< th > Data Structure< / th >
< th > Unit Test< / th >
< th > Performance Test< / th >
< th > API Documentation< / th >
< th > Implemented< / th >
< / tr >
< / thead >
< tbody >
< tr >
< td > Binary Tree< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" >
< / img > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" >
< / img > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/BinaryTree.html" > < span > Binary Tree< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Binary Search Tree (BST)< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/BST.html" > < span > BST< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > AVL Tree< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/AVLTree.html" > < span > AVLTree< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Tree Multiset< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
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< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/TreeMultiset.html" > < span > TreeMultiset< / span > < / a > < / td >
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< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Segment Tree< / td >
< td > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/SegmentTree.html" > < span > SegmentTree< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Binary Indexed Tree< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/BinaryIndexedTree.html" > < span > BinaryIndexedTree< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Graph< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/AbstractGraph.html" > < span > AbstractGraph< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Directed Graph< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/DirectedGraph.html" > < span > DirectedGraph< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Undirected Graph< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/UndirectedGraph.html" > < span > UndirectedGraph< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Linked List< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/SinglyLinkedList.html" > < span > SinglyLinkedList< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Singly Linked List< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/SinglyLinkedList.html" > < span > SinglyLinkedList< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Doubly Linked List< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/DoublyLinkedList.html" > < span > DoublyLinkedList< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Queue< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/Queue.html" > < span > Queue< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Object Deque< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/ObjectDeque.html" > < span > ObjectDeque< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Array Deque< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/ArrayDeque.html" > < span > ArrayDeque< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Stack< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/Stack.html" > < span > Stack< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
[//]: # (< tr > )
[//]: # (< td > Hash< / td > )
[//]: # (< td > < / td > )
[//]: # (< td > < / td > )
[//]: # (< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/HashTable.html" > < span > HashTable< / span > < / a > < / td > )
[//]: # (< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td > )
[//]: # (< / tr > )
< tr >
< td > Coordinate Set< / td >
< td > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/CoordinateSet.html" > < span > CoordinateSet< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Coordinate Map< / td >
< td > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/CoordinateMap.html" > < span > CoordinateMap< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Heap< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/Heap.html" > < span > Heap< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Priority Queue< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/PriorityQueue.html" > < span > PriorityQueue< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Max Priority Queue< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/MaxPriorityQueue.html" > < span > MaxPriorityQueue< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Min Priority Queue< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/MinPriorityQueue.html" > < span > MinPriorityQueue< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< tr >
< td > Trie< / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< td > < / td >
< td > < a href = "https://data-structure-typed-docs.vercel.app/classes/Trie.html" > < span > Trie< / span > < / a > < / td >
< td > < img src = "https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt = "" > < / td >
< / tr >
< / tbody >
< / table >
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## API docs & Examples
[API Docs ](https://data-structure-typed-docs.vercel.app )
[Live Examples ](https://data-structure-typed-examples.vercel.app )
< a href = "https://data-structure-typed-examples.vercel.app" target = "_blank" > Live Examples< / a >
[//]: # ([Examples Repository]( https://github.com/zrwusa/data-structure-typed-examples) )
< a href = "https://github.com/zrwusa/data-structure-typed-examples" target = "_blank" > Examples Repository< / a >
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# Why
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## Complexities
### performance of Big O
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< table >
2023-08-11 11:21:34 +00:00
< thead >
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< tr >
< th > Big O Notation< / th >
< th > Type< / th >
< th > Computations for 10 elements< / th >
< th > Computations for 100 elements< / th >
< th > Computations for 1000 elements< / th >
< / tr >
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< / thead >
< tbody >
< tr >
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< td > < strong > O(1)< / strong > < / td >
< td > Constant< / td >
< td > 1< / td >
< td > 1< / td >
< td > 1< / td >
< / tr >
< tr >
< td > < strong > O(log N)< / strong > < / td >
< td > Logarithmic< / td >
< td > 3< / td >
< td > 6< / td >
< td > 9< / td >
< / tr >
< tr >
< td > < strong > O(N)< / strong > < / td >
< td > Linear< / td >
< td > 10< / td >
< td > 100< / td >
< td > 1000< / td >
< / tr >
< tr >
< td > < strong > O(N log N)< / strong > < / td >
< td > n log(n)< / td >
< td > 30< / td >
< td > 600< / td >
< td > 9000< / td >
< / tr >
< tr >
< td > < strong > O(N^2)< / strong > < / td >
< td > Quadratic< / td >
< td > 100< / td >
< td > 10000< / td >
< td > 1000000< / td >
< / tr >
< tr >
< td > < strong > O(2^N)< / strong > < / td >
< td > Exponential< / td >
< td > 1024< / td >
< td > 1.26e+29< / td >
< td > 1.07e+301< / td >
< / tr >
< tr >
< td > < strong > O(N!)< / strong > < / td >
< td > Factorial< / td >
< td > 3628800< / td >
< td > 9.3e+157< / td >
< td > 4.02e+2567< / td >
< / tr >
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< / tbody >
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< / table >
### Data Structure Complexity
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< table >
< thead >
< tr >
< th > Data Structure< / th >
< th > Access< / th >
< th > Search< / th >
< th > Insertion< / th >
< th > Deletion< / th >
< th > Comments< / th >
< / tr >
< / thead >
< tbody >
< tr >
< td > < strong > Array< / strong > < / td >
< td > 1< / td >
< td > n< / td >
< td > n< / td >
< td > n< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Stack< / strong > < / td >
< td > n< / td >
< td > n< / td >
< td > 1< / td >
< td > 1< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Queue< / strong > < / td >
< td > n< / td >
< td > n< / td >
< td > 1< / td >
< td > 1< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Linked List< / strong > < / td >
< td > n< / td >
< td > n< / td >
< td > 1< / td >
< td > n< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Hash Table< / strong > < / td >
< td > -< / td >
< td > n< / td >
< td > n< / td >
< td > n< / td >
< td > In case of perfect hash function costs would be O(1)< / td >
< / tr >
< tr >
< td > < strong > Binary Search Tree< / strong > < / td >
< td > n< / td >
< td > n< / td >
< td > n< / td >
< td > n< / td >
< td > In case of balanced tree costs would be O(log(n))< / td >
< / tr >
< tr >
< td > < strong > B-Tree< / strong > < / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Red-Black Tree< / strong > < / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > AVL Tree< / strong > < / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > log(n)< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Bloom Filter< / strong > < / td >
< td > -< / td >
< td > 1< / td >
< td > 1< / td >
< td > -< / td >
< td > False positives are possible while searching< / td >
< / tr >
< / tbody >
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< / table >
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### Sorting Complexity
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< table >
< thead >
< tr >
< th > Name< / th >
< th > Best< / th >
< th > Average< / th >
< th > Worst< / th >
< th > Memory< / th >
< th > Stable< / th >
< th > Comments< / th >
< / tr >
< / thead >
< tbody >
< tr >
< td > < strong > Bubble sort< / strong > < / td >
< td > n< / td >
< td > n< sup > 2< / sup > < / td >
< td > n< sup > 2< / sup > < / td >
< td > 1< / td >
< td > Yes< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Insertion sort< / strong > < / td >
< td > n< / td >
< td > n< sup > 2< / sup > < / td >
< td > n< sup > 2< / sup > < / td >
< td > 1< / td >
< td > Yes< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Selection sort< / strong > < / td >
< td > n< sup > 2< / sup > < / td >
< td > n< sup > 2< / sup > < / td >
< td > n< sup > 2< / sup > < / td >
< td > 1< / td >
< td > No< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Heap sort< / strong > < / td >
< td > n log(n)< / td >
< td > n log(n)< / td >
< td > n log(n)< / td >
< td > 1< / td >
< td > No< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Merge sort< / strong > < / td >
< td > n log(n)< / td >
< td > n log(n)< / td >
< td > n log(n)< / td >
< td > n< / td >
< td > Yes< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Quick sort< / strong > < / td >
< td > n log(n)< / td >
< td > n log(n)< / td >
< td > n< sup > 2< / sup > < / td >
< td > log(n)< / td >
< td > No< / td >
< td > Quicksort is usually done in-place with O(log(n)) stack space< / td >
< / tr >
< tr >
< td > < strong > Shell sort< / strong > < / td >
< td > n log(n)< / td >
< td > depends on gap sequence< / td >
< td > n (log(n))< sup > 2< / sup > < / td >
< td > 1< / td >
< td > No< / td >
< td > < / td >
< / tr >
< tr >
< td > < strong > Counting sort< / strong > < / td >
< td > n + r< / td >
< td > n + r< / td >
< td > n + r< / td >
< td > n + r< / td >
< td > Yes< / td >
< td > r - biggest number in array< / td >
< / tr >
< tr >
< td > < strong > Radix sort< / strong > < / td >
< td > n * k< / td >
< td > n * k< / td >
< td > n * k< / td >
< td > n + k< / td >
< td > Yes< / td >
< td > k - length of longest key< / td >
< / tr >
< / tbody >
< / table >
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