npm package: @saoviettest/autem-sit-vero-delectus
Description: ![npm](https://img.shields.io/npm/dm/@saoviettest/autem-sit-vero-delectus) ![GitHub contributors](https://img.shields.io/github/contributors/zrwusa/@saoviettest/autem-sit-vero-delectus) ![npm package minimized gzipped size (select exports)](https://img.sh
Author: phamvankhai1000
Latest version: 1.0.0

# @saoviettest/autem-sit-vero-delectus

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[//]: # (<p><a href="https://github.com/saoviettest/autem-sit-vero-delectus/blob/main/README.md">English</a> | <a href="https://github.com/saoviettest/autem-sit-vero-delectus/blob/main/README_zh-CN.md">简体中文</a></p>)


## Installation and Usage

### npm

```bash
npm i @saoviettest/autem-sit-vero-delectus --save
```

### yarn

```bash
yarn add @saoviettest/autem-sit-vero-delectus
```

```js
import {
  Heap, Graph, Queue, Deque, PriorityQueue, BST, Trie, DoublyLinkedList,
  AVLTree, SinglyLinkedList, DirectedGraph, RedBlackTree, TreeMultiMap,
  DirectedVertex, Stack, AVLTreeNode
} from '@saoviettest/autem-sit-vero-delectus';
```

If you only want to use a specific data structure independently, you can install it separately, for example, by running

```bash
npm i heap-typed --save
```

## Why

Do you envy C++ with [STL]() (std::), Python with [collections](), and Java with [java.util]() ? Well, no need to envy
anymore! JavaScript and TypeScript now have [@saoviettest/autem-sit-vero-delectus]().**`Benchmark`** compared with C++ STL. 
**`API standards`** aligned with ES6 and Java. **`Usability`** is comparable to Python


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[//]: # (![Statements]&#40;https://img.shields.io/badge/statements-67%25-red.svg?style=flat&#41;)

[//]: # (![Functions]&#40;https://img.shields.io/badge/functions-66.38%25-red.svg?style=flat&#41;)

[//]: # (![Lines]&#40;https://img.shields.io/badge/lines-68.6%25-red.svg?style=flat&#41;)

### Performance

Performance surpasses that of native JS/TS

<table style="display: table; width:100%; table-layout: fixed;">
  <thead>
  <tr>
    <th>Method</th>
    <th>Time Taken</th>
    <th>Data Scale</th>
    <th>Belongs To</th>
    <th>big O</th>
  </tr>
  </thead>
  <tbody>
  <tr>
    <td>Queue.push &amp; shift</td>
    <td>5.83 ms</td>
    <td>100K</td>
    <td>Ours</td>
    <td>O(1)</td>
  </tr>
  <tr>
    <td>Array.push &amp; shift</td>
    <td>2829.59 ms</td>
    <td>100K</td>
    <td>Native JS</td>
    <td>O(n)</td>
  </tr>
  <tr>
    <td>Deque.unshift &amp; shift</td>
    <td>2.44 ms</td>
    <td>100K</td>
    <td>Ours</td>
    <td>O(1)</td>
  </tr>
  <tr>
    <td>Array.unshift &amp; shift</td>
    <td>4750.37 ms</td>
    <td>100K</td>
    <td>Native JS</td>
    <td>O(n)</td>
  </tr>
  <tr>
    <td>HashMap.set</td>
    <td>122.51 ms</td>
    <td>1M</td>
    <td>Ours</td>
    <td>O(1)</td>
  </tr>
  <tr>
    <td>Map.set</td>
    <td>223.80 ms</td>
    <td>1M</td>
    <td>Native JS</td>
    <td>O(1)</td>
  </tr>
  <tr>
    <td>Set.add</td>
    <td>185.06 ms</td>
    <td>1M</td>
    <td>Native JS</td>
    <td>O(1)</td>
  </tr>
  </tbody>
</table>

### Conciseness and uniformity
In [java.utils](), you need to memorize a table for all sequential data structures(Queue, Deque, LinkedList),

<table style="display: table; width:100%; table-layout: fixed;">
        <thead>
            <tr>
                <th>Java ArrayList</th>
                <th>Java Queue</th>
                <th>Java ArrayDeque</th>
                <th>Java LinkedList</th>
            </tr>
        </thead>
        <tbody>
            <tr>
                <td>add</td>
                <td>offer</td>
                <td>push</td>
                <td>push</td>
            </tr>
            <tr>
                <td>remove</td>
                <td>poll</td>
                <td>removeLast</td>
                <td>removeLast</td>
            </tr>
            <tr>
                <td>remove</td>
                <td>poll</td>
                <td>removeFirst</td>
                <td>removeFirst</td>
            </tr>
            <tr>
                <td>add(0, element)</td>
                <td>offerFirst</td>
                <td>unshift</td>
                <td>unshift</td>
            </tr>
        </tbody>
    </table>

whereas in our [@saoviettest/autem-sit-vero-delectus](), you **only** need to remember four methods: `push`, `pop`, `shift`, and `unshift` for all sequential data structures(Queue, Deque, DoublyLinkedList, SinglyLinkedList and Array).

### Data structures available

We provide data structures that are not available in JS/TS

<table style="display: table; width:100%; table-layout: fixed;">
<thead>
<tr>
<th>Data Structure</th>
<th>Unit Test</th>
<th>Perf Test</th>
<th>API Doc</th>
<th>NPM</th>
<th>Downloads</th>
</tr>
</thead>
<tbody>
<tr>
<td>Binary Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/BinaryTree.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/binary-tree-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/binary-tree-typed"></td>
</tr>
<tr>
<td>Binary Search Tree (BST)</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/BST.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/bst-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/bst-typed"></td>
</tr>
<tr>
<td>AVL Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/AVLTree.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/avl-tree-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/avl-tree-typed"></td>
</tr>
<tr>
<td>Red Black Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/RedBlackTree.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/red-black-tree-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/red-black-tree-typed"></td>
</tr>
<tr>
<td>Tree Multimap</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/TreeMultiMap.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/tree-multimap-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/tree-multimap-typed"></td>
</tr>
<tr>
<td>Heap</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/Heap.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/heap-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/heap-typed"></td>
</tr>
<tr>
<td>Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/PriorityQueue.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/priority-queue-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/priority-queue-typed"></td>
</tr>
<tr>
<td>Max Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/MaxPriorityQueue.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/max-priority-queue-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/max-priority-queue-typed"></td>
</tr>
<tr>
<td>Min Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/MinPriorityQueue.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/min-priority-queue-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/min-priority-queue-typed"></td>
</tr>
<tr>
<td>Trie</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/Trie.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/trie-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/trie-typed"></td>
</tr>
<tr>
<td>Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/AbstractGraph.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/graph-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/graph-typed"></td>
</tr>
<tr>
<td>Directed Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/DirectedGraph.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/directed-graph-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/directed-graph-typed"></td>
</tr>
<tr>
<td>Undirected Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/UndirectedGraph.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/undirected-graph-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/undirected-graph-typed"></td>
</tr>
<tr>
<td>Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/Queue.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/queue-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/queue-typed"></td>
</tr>
<tr>
<td>Deque</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/Deque.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/deque-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/deque-typed"></td>
</tr>
<tr>
<td>Hash Map</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/HashMap.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/hashmap-typed"><span></span></a></td>
<td></td>
</tr>
<tr>
<td>Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/SinglyLinkedList.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/linked-list-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/linked-list-typed"></td>
</tr>
<tr>
<td>Singly Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/SinglyLinkedList.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/singly-linked-list-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/singly-linked-list-typed"></td>
</tr>
<tr>
<td>Doubly Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/DoublyLinkedList.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/doubly-linked-list-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/doubly-linked-list-typed"></td>
</tr>
<tr>
<td>Stack</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/Stack.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/stack-typed"><span>NPM</span></a></td>
<td><img alt="NPM Downloads" src="https://img.shields.io/npm/dm/stack-typed"></td>
</tr>
<tr>
<td>Segment Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/SegmentTree.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/segment-tree-typed"><span></span></a></td>
<td></td>
</tr>
<tr>
<td>Binary Indexed Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/assets/tick.svg" alt=""></td>
<td></td>
<td><a href="https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app/classes/BinaryIndexedTree.html"><span>Docs</span></a></td>
<td><a href="https://www.npmjs.com/package/binary-indexed-tree-typed"><span></span></a></td>
<td></td>
</tr>
</tbody>
</table>

## Vivid Examples

### AVL Tree

[Try it out](https://vivid-algorithm.vercel.app/), or you can run your own code using
our [visual tool](https://github.com/zrwusa/vivid-algorithm)

![](https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/examples/videos/webp_output/avl-tree-test.webp)

### Tree Multi Map

[Try it out](https://vivid-algorithm.vercel.app/)

![](https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/examples/videos/webp_output/tree-multiset-test.webp)

### Directed Graph

[Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/)

![](https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/examples/videos/webp_output/directed-graph-test.webp)

### Map Graph

[Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/)

![](https://raw.githubusercontent.com/zrwusa/assets/master/images/@saoviettest/autem-sit-vero-delectus/examples/videos/webp_output/map-graph-test.webp)

## Code Snippets

### Red Black Tree snippet

#### TS

```ts
import { RedBlackTree } from '@saoviettest/autem-sit-vero-delectus';

const rbTree = new RedBlackTree<number>();
rbTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5])
rbTree.isAVLBalanced();    // true
rbTree.delete(10);
rbTree.isAVLBalanced();    // true
rbTree.print()
//         ___6________
//        /            \
//      ___4_       ___11________
//     /     \     /             \
//    _2_    5    _8_       ____14__
//   /   \       /   \     /        \
//   1   3       7   9    12__     15__
//                            \        \
//                           13       16
```

#### JS

```js
import { RedBlackTree } from '@saoviettest/autem-sit-vero-delectus';

const rbTree = new RedBlackTree();
rbTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5])
rbTree.isAVLBalanced();    // true
rbTree.delete(10);
rbTree.isAVLBalanced();    // true
rbTree.print()
//         ___6________
//        /            \
//      ___4_       ___11________
//     /     \     /             \
//    _2_    5    _8_       ____14__
//   /   \       /   \     /        \
//   1   3       7   9    12__     15__
//                            \        \
//                           13       16
```

### Free conversion between data structures.

```js
const orgArr = [6, 1, 2, 7, 5, 3, 4, 9, 8];
const orgStrArr = ["trie", "trial", "trick", "trip", "tree", "trend", "triangle", "track", "trace", "transmit"];
const entries = [[6, "6"], [1, "1"], [2, "2"], [7, "7"], [5, "5"], [3, "3"], [4, "4"], [9, "9"], [8, "8"]];

const queue = new Queue(orgArr);
queue.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]

const deque = new Deque(orgArr);
deque.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]

const sList = new SinglyLinkedList(orgArr);
sList.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]

const dList = new DoublyLinkedList(orgArr);
dList.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]

const stack = new Stack(orgArr);
stack.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]

const minHeap = new MinHeap(orgArr);
minHeap.print();
// [1, 5, 2, 7, 6, 3, 4, 9, 8]

const maxPQ = new MaxPriorityQueue(orgArr);
maxPQ.print();
// [9, 8, 4, 7, 5, 2, 3, 1, 6]

const biTree = new BinaryTree(entries);
biTree.print();
//         ___6___
//        /       \
//     ___1_     _2_
//    /     \   /   \
//   _7_    5   3   4
//  /   \
//  9   8

const bst = new BST(entries);
bst.print();
//     _____5___
//    /         \
//   _2_       _7_
//  /   \     /   \
//  1   3_    6   8_
//        \         \
//        4         9


const rbTree = new RedBlackTree(entries);
rbTree.print();
//     ___4___
//    /       \
//   _2_     _6___
//  /   \   /     \
//  1   3   5    _8_
//              /   \
//              7   9


const avl = new AVLTree(entries);
avl.print();
//     ___4___
//    /       \
//   _2_     _6___
//  /   \   /     \
//  1   3   5    _8_
//              /   \
//              7   9

const treeMulti = new TreeMultiMap(entries);
treeMulti.print();
//     ___4___
//    /       \
//   _2_     _6___
//  /   \   /     \
//  1   3   5    _8_
//              /   \
//              7   9

const hm = new HashMap(entries);
hm.print()
// [[6, "6"], [1, "1"], [2, "2"], [7, "7"], [5, "5"], [3, "3"], [4, "4"], [9, "9"], [8, "8"]]

const rbTreeH = new RedBlackTree(hm);
rbTreeH.print();
//     ___4___
//    /       \
//   _2_     _6___
//  /   \   /     \
//  1   3   5    _8_
//              /   \
//              7   9

const pq = new MinPriorityQueue(orgArr);
pq.print();
// [1, 5, 2, 7, 6, 3, 4, 9, 8]

const bst1 = new BST(pq);
bst1.print();
//     _____5___
//    /         \
//   _2_       _7_
//  /   \     /   \
//  1   3_    6   8_
//        \         \
//        4         9

const dq1 = new Deque(orgArr);
dq1.print();
// [6, 1, 2, 7, 5, 3, 4, 9, 8]
const rbTree1 = new RedBlackTree(dq1);
rbTree1.print();
//    _____5___
//   /         \
//  _2___     _7___
// /     \   /     \
// 1    _4   6    _9
//      /         /
//      3         8


const trie2 = new Trie(orgStrArr);
trie2.print();
// ['trie', 'trial', 'triangle', 'trick', 'trip', 'tree', 'trend', 'track', 'trace', 'transmit']
const heap2 = new Heap(trie2, { comparator: (a, b) => Number(a) - Number(b) });
heap2.print();
// ['transmit', 'trace', 'tree', 'trend', 'track', 'trial', 'trip', 'trie', 'trick', 'triangle']
const dq2 = new Deque(heap2);
dq2.print();
// ['transmit', 'trace', 'tree', 'trend', 'track', 'trial', 'trip', 'trie', 'trick', 'triangle']
const entries2 = dq2.map((el, i) => [i, el]);
const avl2 = new AVLTree(entries2);
avl2.print();
//     ___3_______
//    /           \
//   _1_       ___7_
//  /   \     /     \
//  0   2    _5_    8_
//          /   \     \
//          4   6     9
```

### Binary Search Tree (BST) snippet

```ts
import { BST, BSTNode } from '@saoviettest/autem-sit-vero-delectus';

const bst = new BST<number>();
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.getNode(6);   // BSTNode
bst.getHeight(6) === 2;         // true
bst.getHeight() === 5;          // true
bst.getDepth(6) === 3;          // true

bst.getLeftMost()?.key === 1;   // true

bst.delete(6);
bst.get(6);                     // undefined
bst.isAVLBalanced();            // true
bst.bfs()[0] === 11;            // true
bst.print()
//       ______________11_____           
//      /                     \          
//   ___3_______            _13_____
//  /           \          /        \    
//  1_     _____8____     12      _15__
//    \   /          \           /     \ 
//    2   4_       _10          14    16
//          \     /                      
//          5_    9
//            \                          
//            7

const objBST = new BST<number, { height: number, age: number }>();

objBST.add(11, { "name": "Pablo", "age": 15 });
objBST.add(3, { "name": "Kirk", "age": 1 });

objBST.addMany([15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5], [
    { "name": "Alice", "age": 15 },
    { "name": "Bob", "age": 1 },
    { "name": "Charlie", "age": 8 },
    { "name": "David", "age": 13 },
    { "name": "Emma", "age": 16 },
    { "name": "Frank", "age": 2 },
    { "name": "Grace", "age": 6 },
    { "name": "Hannah", "age": 9 },
    { "name": "Isaac", "age": 12 },
    { "name": "Jack", "age": 14 },
    { "name": "Katie", "age": 4 },
    { "name": "Liam", "age": 7 },
    { "name": "Mia", "age": 10 },
    { "name": "Noah", "age": 5 }
  ]
);

objBST.delete(11);
```

### AVLTree snippet

```ts
import { AVLTree } from '@saoviettest/autem-sit-vero-delectus';

const avlTree = new AVLTree<number>();
avlTree.addMany([11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5])
avlTree.isAVLBalanced();    // true
avlTree.delete(10);
avlTree.isAVLBalanced();    // true
```

### Directed Graph simple snippet

```ts
import { DirectedGraph } from '@saoviettest/autem-sit-vero-delectus';

const graph = new DirectedGraph<string>();

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.deleteEdgeSrcToDest('A', 'B');
graph.hasEdge('A', 'B');    // false

graph.addVertex('C');

graph.addEdge('A', 'B');
graph.addEdge('B', 'C');

const topologicalOrderKeys = graph.topologicalSort(); // ['A', 'B', 'C']
```

### Undirected Graph snippet

```ts
import { UndirectedGraph } from '@saoviettest/autem-sit-vero-delectus';

const graph = new UndirectedGraph<string>();
graph.addVertex('A');
graph.addVertex('B');
graph.addVertex('C');
graph.addVertex('D');
graph.deleteVertex('C');
graph.addEdge('A', 'B');
graph.addEdge('B', 'D');

const dijkstraResult = graph.dijkstra('A');
Array.from(dijkstraResult?.seen ?? []).map(vertex => vertex.key) // ['A', 'B', 'D']


```

## API docs & Examples

[API Docs](https://@saoviettest/autem-sit-vero-delectus-docs.vercel.app)

[Live Examples](https://vivid-algorithm.vercel.app)

<a href="https://github.com/zrwusa/vivid-algorithm" target="_blank">Examples Repository</a>

## Benchmark

MacBook Pro (15-inch, 2018)

Processor 2.2 GHz 6-Core Intel Core i7

Memory 16 GB 2400 MHz DDR4

Graphics Radeon Pro 555X 4 GB

Intel UHD Graphics 630 1536 MB

macOS Big Sur

Version 11.7.9


[//]: # (No deletion!!! Start of Replace Section)
<div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>heap</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>100,000 add</td><td>6.09</td><td>164.12</td><td>1.35e-4</td></tr><tr><td>100,000 add & poll</td><td>34.55</td><td>28.94</td><td>6.43e-4</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>rb-tree</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>100,000 add</td><td>76.73</td><td>13.03</td><td>0.00</td></tr><tr><td>100,000 add randomly</td><td>80.67</td><td>12.40</td><td>0.00</td></tr><tr><td>100,000 get</td><td>110.86</td><td>9.02</td><td>0.00</td></tr><tr><td>100,000 iterator</td><td>24.99</td><td>40.02</td><td>0.00</td></tr><tr><td>100,000 add & delete orderly</td><td>152.66</td><td>6.55</td><td>0.00</td></tr><tr><td>100,000 add & delete randomly</td><td>230.75</td><td>4.33</td><td>0.00</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>queue</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 push</td><td>39.27</td><td>25.46</td><td>0.01</td></tr><tr><td>100,000 push & shift</td><td>4.53</td><td>220.81</td><td>4.84e-4</td></tr><tr><td>Native JS Array 100,000 push & shift</td><td>1948.05</td><td>0.51</td><td>0.02</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>deque</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 push</td><td>23.22</td><td>43.06</td><td>0.00</td></tr><tr><td>1,000,000 push & pop</td><td>29.68</td><td>33.69</td><td>0.00</td></tr><tr><td>1,000,000 push & shift</td><td>29.33</td><td>34.09</td><td>0.00</td></tr><tr><td>100,000 push & shift</td><td>3.10</td><td>323.01</td><td>2.47e-4</td></tr><tr><td>Native JS Array 100,000 push & shift</td><td>1942.12</td><td>0.51</td><td>0.02</td></tr><tr><td>100,000 unshift & shift</td><td>2.77</td><td>360.50</td><td>2.43e-4</td></tr><tr><td>Native JS Array 100,000 unshift & shift</td><td>3835.21</td><td>0.26</td><td>0.03</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>hash-map</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 set</td><td>112.38</td><td>8.90</td><td>0.02</td></tr><tr><td>Native JS Map 1,000,000 set</td><td>199.97</td><td>5.00</td><td>0.01</td></tr><tr><td>Native JS Set 1,000,000 add</td><td>163.34</td><td>6.12</td><td>0.01</td></tr><tr><td>1,000,000 set & get</td><td>109.86</td><td>9.10</td><td>0.02</td></tr><tr><td>Native JS Map 1,000,000 set & get</td><td>255.33</td><td>3.92</td><td>0.00</td></tr><tr><td>Native JS Set 1,000,000 add & has</td><td>163.91</td><td>6.10</td><td>0.00</td></tr><tr><td>1,000,000 ObjKey set & get</td><td>317.89</td><td>3.15</td><td>0.04</td></tr><tr><td>Native JS Map 1,000,000 ObjKey set & get</td><td>282.99</td><td>3.53</td><td>0.03</td></tr><tr><td>Native JS Set 1,000,000 ObjKey add & has</td><td>253.93</td><td>3.94</td><td>0.03</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>trie</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>100,000 push</td><td>43.71</td><td>22.88</td><td>7.33e-4</td></tr><tr><td>100,000 getWords</td><td>83.63</td><td>11.96</td><td>0.00</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>avl-tree</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>100,000 add</td><td>271.93</td><td>3.68</td><td>0.01</td></tr><tr><td>100,000 add randomly</td><td>318.27</td><td>3.14</td><td>0.00</td></tr><tr><td>100,000 get</td><td>128.85</td><td>7.76</td><td>0.00</td></tr><tr><td>100,000 iterator</td><td>29.09</td><td>34.38</td><td>0.00</td></tr><tr><td>100,000 add & delete orderly</td><td>435.48</td><td>2.30</td><td>7.44e-4</td></tr><tr><td>100,000 add & delete randomly</td><td>578.70</td><td>1.73</td><td>0.00</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>binary-tree-overall</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>10,000 RBTree add randomly</td><td>6.69</td><td>149.54</td><td>1.06e-4</td></tr><tr><td>10,000 RBTree get randomly</td><td>9.19</td><td>108.82</td><td>1.43e-4</td></tr><tr><td>10,000 RBTree add & delete randomly</td><td>18.54</td><td>53.94</td><td>1.73e-4</td></tr><tr><td>10,000 AVLTree add randomly</td><td>23.70</td><td>42.20</td><td>1.88e-4</td></tr><tr><td>10,000 AVLTree get randomly</td><td>9.89</td><td>101.11</td><td>0.00</td></tr><tr><td>10,000 AVLTree add & delete randomly</td><td>44.44</td><td>22.50</td><td>4.30e-4</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>directed-graph</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000 addVertex</td><td>0.10</td><td>9766.65</td><td>9.83e-7</td></tr><tr><td>1,000 addEdge</td><td>6.15</td><td>162.57</td><td>7.99e-4</td></tr><tr><td>1,000 getVertex</td><td>0.05</td><td>2.18e+4</td><td>4.52e-7</td></tr><tr><td>1,000 getEdge</td><td>22.70</td><td>44.06</td><td>0.00</td></tr><tr><td>tarjan</td><td>203.00</td><td>4.93</td><td>0.01</td></tr><tr><td>topologicalSort</td><td>176.40</td><td>5.67</td><td>0.00</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>doubly-linked-list</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 push</td><td>222.02</td><td>4.50</td><td>0.07</td></tr><tr><td>1,000,000 unshift</td><td>220.41</td><td>4.54</td><td>0.05</td></tr><tr><td>1,000,000 unshift & shift</td><td>185.31</td><td>5.40</td><td>0.01</td></tr><tr><td>1,000,000 addBefore</td><td>317.20</td><td>3.15</td><td>0.07</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>singly-linked-list</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 push & shift</td><td>204.82</td><td>4.88</td><td>0.09</td></tr><tr><td>10,000 push & pop</td><td>221.88</td><td>4.51</td><td>0.03</td></tr><tr><td>10,000 addBefore</td><td>247.28</td><td>4.04</td><td>0.01</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>priority-queue</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>100,000 add</td><td>26.97</td><td>37.08</td><td>7.97e-4</td></tr><tr><td>100,000 add & poll</td><td>74.55</td><td>13.41</td><td>5.19e-4</td></tr></table></div>
    </div><div class="json-to-html-collapse clearfix 0">
      <div class='collapsible level0' ><span class='json-to-html-label'>stack</span></div>
      <div class="content"><table style="display: table; width:100%; table-layout: fixed;"><tr><th>test name</th><th>time taken (ms)</th><th>executions per sec</th><th>sample deviation</th></tr><tr><td>1,000,000 push</td><td>35.54</td><td>28.14</td><td>0.00</td></tr><tr><td>1,000,000 push & pop</td><td>44.89</td><td>22.27</td><td>0.01</td></tr></table></div>
    </div>

[//]: # (No deletion!!! End of Replace Section)

## The corresponding relationships between data structures in different language standard libraries.

<table style="display: table; width:100%; table-layout: fixed;">
  <thead>
  <tr>
    <th>Data Structure Typed</th>
    <th>C++ STL</th>
    <th>java.util</th>
    <th>Python collections</th>
  </tr>
  </thead>
  <tbody>
  <tr>
    <td>Heap&lt;E&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>heapq</td>
  </tr>
  <tr>
    <td>PriorityQueue&lt;E&gt;</td>
    <td>priority_queue&lt;T&gt;</td>
    <td>PriorityQueue&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>Deque&lt;E&gt;</td>
    <td>deque&lt;T&gt;</td>
    <td>ArrayDeque&lt;E&gt;</td>
    <td>deque</td>
  </tr>
  <tr>
    <td>Queue&lt;E&gt;</td>
    <td>queue&lt;T&gt;</td>
    <td>Queue&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>HashMap&lt;K, V&gt;</td>
    <td>unordered_map&lt;K, V&gt;</td>
    <td>HashMap&lt;K, V&gt;</td>
    <td>defaultdict</td>
  </tr>
  <tr>
    <td>DoublyLinkedList&lt;E&gt;</td>
    <td>list&lt;T&gt;</td>
    <td>LinkedList&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>SinglyLinkedList&lt;E&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>BinaryTree&lt;K, V&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>BST&lt;K, V&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>RedBlackTree&lt;E&gt;</td>
    <td>set&lt;T&gt;</td>
    <td>TreeSet&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>RedBlackTree&lt;K, V&gt;</td>
    <td>map&lt;K, V&gt;</td>
    <td>TreeMap&lt;K, V&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>TreeMultiMap&lt;K, V&gt;</td>
    <td>multimap&lt;K, V&gt;</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>TreeMultiMap&lt;E&gt;</td>
    <td>multiset&lt;T&gt;</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>Trie</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>DirectedGraph&lt;V, E&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>UndirectedGraph&lt;V, E&gt;</td>
    <td>-</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>PriorityQueue&lt;E&gt;</td>
    <td>priority_queue&lt;T&gt;</td>
    <td>PriorityQueue&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>Array&lt;E&gt;</td>
    <td>vector&lt;T&gt;</td>
    <td>ArrayList&lt;E&gt;</td>
    <td>list</td>
  </tr>
  <tr>
    <td>Stack&lt;E&gt;</td>
    <td>stack&lt;T&gt;</td>
    <td>Stack&lt;E&gt;</td>
    <td>-</td>
  </tr>
  <tr>
    <td>HashMap&lt;E&gt;</td>
    <td>unordered_set&lt;T&gt;</td>
    <td>HashSet&lt;E&gt;</td>
    <td>set</td>
  </tr>
  <tr>
    <td>-</td>
    <td>unordered_multiset</td>
    <td>-</td>
    <td>Counter</td>
  </tr>
  <tr>
    <td>LinkedHashMap&lt;K, V&gt;</td>
    <td>-</td>
    <td>LinkedHashMap&lt;K, V&gt;</td>
    <td>OrderedDict</td>
  </tr>
  <tr>
    <td>-</td>
    <td>unordered_multimap&lt;K, V&gt;</td>
    <td>-</td>
    <td>-</td>
  </tr>
  <tr>
    <td>-</td>
    <td>bitset&lt;N&gt;</td>
    <td>-</td>
    <td>-</td>
  </tr>
  </tbody>
</table>

## Built-in classic algorithms

<table style="display: table; width:100%; table-layout: fixed;">
  <thead>
  <tr>
    <th>Algorithm</th>
    <th>Function Description</th>
    <th>Iteration Type</th>
  </tr>
  </thead>
  <tbody>
  <tr>
    <td>Binary Tree DFS</td>
    <td>Traverse a binary tree in a depth-first manner, starting from the root node, first visiting the left subtree,
      and then the right subtree, using recursion.
    </td>
    <td>Recursion + Iteration</td>
  </tr>
  <tr>
    <td>Binary Tree BFS</td>
    <td>Traverse a binary tree in a breadth-first manner, starting from the root node, visiting nodes level by level
      from left to right.
    </td>
    <td>Iteration</td>
  </tr>
  <tr>
    <td>Graph DFS</td>
    <td>Traverse a graph in a depth-first manner, starting from a given node, exploring along one path as deeply as
      possible, and backtracking to explore other paths. Used for finding connected components, paths, etc.
    </td>
    <td>Recursion + Iteration</td>
  </tr>
  <tr>
    <td>Binary Tree Morris</td>
    <td>Morris traversal is an in-order traversal algorithm for binary trees with O(1) space complexity. It allows tree
      traversal without additional stack or recursion.
    </td>
    <td>Iteration</td>
  </tr>
  <tr>
    <td>Graph BFS</td>
    <td>Traverse a graph in a breadth-first manner, starting from a given node, first visiting nodes directly connected
      to the starting node, and then expanding level by level. Used for finding shortest paths, etc.
    </td>
    <td>Recursion + Iteration</td>
  </tr>
  <tr>
    <td>Graph Tarjan's Algorithm</td>
    <td>Find strongly connected components in a graph, typically implemented using depth-first search.</td>
    <td>Recursion</td>
  </tr>
  <tr>
    <td>Graph Bellman-Ford Algorithm</td>
    <td>Finding the shortest paths from a single source, can handle negative weight edges</td>
    <td>Iteration</td>
  </tr>
  <tr>
    <td>Graph Dijkstra's Algorithm</td>
    <td>Finding the shortest paths from a single source, cannot handle negative weight edges</td>
    <td>Iteration</td>
  </tr>
  <tr>
    <td>Graph Floyd-Warshall Algorithm</td>
    <td>Finding the shortest paths between all pairs of nodes</td>
    <td>Iteration</td>
  </tr>
  <tr>
    <td>Graph getCycles</td>
    <td>Find all cycles in a graph or detect the presence of cycles.</td>
    <td>Recursion</td>
  </tr>
  <tr>
    <td>Graph getCutVertices</td>
    <td>Find cut vertices in a graph, which are nodes that, when removed, increase the number of connected components in
      the graph.
    </td>
    <td>Recursion</td>
  </tr>
  <tr>
    <td>Graph getSCCs</td>
    <td>Find strongly connected components in a graph, which are subgraphs where any two nodes can reach each other.
    </td>
    <td>Recursion</td>
  </tr>
  <tr>
    <td>Graph getBridges</td>
    <td>Find bridges in a graph, which are edges that, when removed, increase the number of connected components in the
      graph.
    </td>
    <td>Recursion</td>
  </tr>
  <tr>
    <td>Graph topologicalSort</td>
    <td>Perform topological sorting on a directed acyclic graph (DAG) to find a linear order of nodes such that all
      directed edges go from earlier nodes to later nodes.
    </td>
    <td>Recursion</td>
  </tr>
  </tbody>
</table>

## Software Engineering Design Standards

We strictly adhere to computer science theory and software development standards. Our LinkedList is designed in the
traditional sense of the LinkedList data structure, and we refrain from substituting it with a Deque solely for the
purpose of showcasing performance test data. However, we have also implemented a Deque based on a dynamic array
concurrently.


<table style="display: table; width:100%; table-layout: fixed;">
    <tr>
        <th>Principle</th>
        <th>Description</th>
    </tr>
    <tr>
        <td>Practicality</td>
        <td>Follows ES6 and ESNext standards, offering unified and considerate optional parameters, and simplifies method names.</td>
    </tr>
    <tr>
        <td>Extensibility</td>
        <td>Adheres to OOP (Object-Oriented Programming) principles, allowing inheritance for all data structures.</td>
    </tr>
    <tr>
        <td>Modularization</td>
        <td>Includes data structure modularization and independent NPM packages.</td>
    </tr>
    <tr>
        <td>Efficiency</td>
        <td>All methods provide time and space complexity, comparable to native JS performance.</td>
    </tr>
    <tr>
        <td>Maintainability</td>
        <td>Follows open-source community development standards, complete documentation, continuous integration, and adheres to TDD (Test-Driven Development) patterns.</td>
    </tr>
    <tr>
        <td>Testability</td>
        <td>Automated and customized unit testing, performance testing, and integration testing.</td>
    </tr>
    <tr>
        <td>Portability</td>
        <td>Plans for porting to Java, Python, and C++, currently achieved to 80%.</td>
    </tr>
    <tr>
        <td>Reusability</td>
        <td>Fully decoupled, minimized side effects, and adheres to OOP.</td>
    </tr>
    <tr>
        <td>Security</td>
        <td>Carefully designed security for member variables and methods. Read-write separation. Data structure software does not need to consider other security aspects.</td>
    </tr>
    <tr>
        <td>Scalability</td>
        <td>Data structure software does not involve load issues.</td>
    </tr>
</table>

## supported module system

Now you can use it in Node.js and browser environments

CommonJS:**`require export.modules =`**

ESModule:&nbsp;&nbsp;&nbsp;**`import export`**

Typescript:&nbsp;&nbsp;&nbsp;**`import export`**

UMD:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;**`var Deque = dataStructureTyped.Deque`**

### CDN

Copy the line below into the head tag in an HTML document.

#### development

```html

<script src='https://cdn.jsdelivr.net/npm/@saoviettest/autem-sit-vero-delectus/dist/umd/@saoviettest/autem-sit-vero-delectus.js'></script>
```

#### production

```html

<script src='https://cdn.jsdelivr.net/npm/@saoviettest/autem-sit-vero-delectus/dist/umd/@saoviettest/autem-sit-vero-delectus.min.js'></script>
```

Copy the code below into the script tag of your HTML, and you're good to go with your development.

```js
const { Heap } = dataStructureTyped;
const {
  BinaryTree, Graph, Queue, Stack, PriorityQueue, BST, Trie, DoublyLinkedList,
  AVLTree, MinHeap, SinglyLinkedList, DirectedGraph, TreeMultiMap,
  DirectedVertex, AVLTreeNode
} = dataStructureTyped;
```