data-structure-typed/README.md
2023-12-07 15:37:50 +08:00

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# data-structure-typed
![npm](https://img.shields.io/npm/v/data-structure-typed)
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<p><a href="https://github.com/zrwusa/data-structure-typed/blob/main/README.md">English</a> | <a href="https://github.com/zrwusa/data-structure-typed/blob/main/README_zh-CN.md">简体中文</a></p>
## 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 [data-structure-typed]().**`Benchmark`** compared with C++ STL. **`API standards`** aligned with ES6 and Java. **`Usability`** is comparable to Python
### We provide data structures that are not available in JS/TS
Heap, Binary Tree, RedBlack Tree, Linked List, Deque, Trie, Directed Graph, Undirected Graph, BST, AVL Tree, Priority Queue, Queue, Tree Multiset, Linked List.
### Performance superior to native JS/TS
**`Queue vs. native Array, 100,000 scale`**
<table style="display: table; width:100%; table-layout: fixed;">
<thead>
<tr>
<th>Test Methods</th>
<th>Time Taken (ms)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Queue push &amp; shift</td>
<td>5.83</td>
</tr>
<tr>
<td>Array push &amp; shift</td>
<td>2829.59</td>
</tr>
</tbody>
</table>
**`Deque vs. native Array, 100,000 scale`**
<table style="display: table; width:100%; table-layout: fixed;">
<thead>
<tr>
<th>Test Methods</th>
<th>Time Taken (ms)</th>
</tr>
</thead>
<tbody>
<tr>
<td>Deque unshift &amp; shift</td>
<td>2.44</td>
</tr>
<tr>
<td>Array unshift &amp; shift</td>
<td>4750.37</td>
</tr>
</tbody>
</table>
**`HashMap vs. native Map/Set, 100,000 scale`**
<table style="display: table; width:100%; table-layout: fixed;">
<thead>
<tr>
<th>Method</th>
<th>Time Taken (ms)</th>
</tr>
</thead>
<tbody>
<tr>
<td>HashMap 1,000,000 set</td>
<td>122.51</td>
</tr>
<tr>
<td>Native Map 1,000,000 set</td>
<td>223.80</td>
</tr>
<tr>
<td>Native Set 1,000,000 add</td>
<td>185.06</td>
</tr>
</tbody>
</table>
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## Installation and Usage
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`**
### npm
```bash
npm i data-structure-typed --save
```
### yarn
```bash
yarn add data-structure-typed
```
```js
import {
BinaryTree, Graph, Queue, Stack, PriorityQueue, BST, Trie, DoublyLinkedList,
AVLTree, MinHeap, SinglyLinkedList, DirectedGraph, TreeMultimap,
DirectedVertex, AVLTreeNode
} from 'data-structure-typed';
```
### CDN
Copy the line below into the head tag in an HTML document.
#### development
```html
<script src='https://cdn.jsdelivr.net/npm/data-structure-typed/dist/umd/data-structure-typed.js'></script>
```
#### production
```html
<script src='https://cdn.jsdelivr.net/npm/data-structure-typed/dist/umd/data-structure-typed.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;
```
## Vivid Examples
### Binary 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/data-structure-typed/examples/videos/webp_output/binary-tree-array-to-binary-tree.webp)
### Binary Tree DFS
[Try it out](https://vivid-algorithm.vercel.app/)
![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/binary-tree-dfs-in-order.webp)
### AVL Tree
[Try it out](https://vivid-algorithm.vercel.app/)
![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/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/data-structure-typed/examples/videos/webp_output/tree-multiset-test.webp)
### Matrix
[Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/)
![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/matrix-cut-off-tree-for-golf.webp)
### Directed Graph
[Try it out](https://vivid-algorithm.vercel.app/algorithm/graph/)
![](https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/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/data-structure-typed/examples/videos/webp_output/map-graph-test.webp)
## Code Snippets
### Binary Search Tree (BST) snippet
#### TS
```ts
import {BST, BSTNode} from 'data-structure-typed';
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);
```
#### JS
```js
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.getNode(6);
bst.getHeight(6) === 2; // true
bst.getHeight() === 5; // true
bst.getDepth(6) === 3; // true
const leftMost = bst.getLeftMost();
leftMost?.key === 1; // true
bst.delete(6);
bst.get(6); // undefined
bst.isAVLBalanced(); // true or false
const bfsIDs = bst.bfs();
bfsIDs[0] === 11; // true
```
### AVLTree snippet
```ts
import {AVLTree} from 'data-structure-typed';
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
```
### RedBlackTree snippet
```ts
import {RedBlackTree} from 'data-structure-typed';
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
```
### Directed Graph simple snippet
```ts
import {DirectedGraph} from 'data-structure-typed';
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 'data-structure-typed';
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']
```
### 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
```
## API docs & Examples
[API Docs](https://data-structure-typed-docs.vercel.app)
[Live Examples](https://vivid-algorithm.vercel.app)
<a href="https://github.com/zrwusa/vivid-algorithm" target="_blank">Examples Repository</a>
## Data Structures
<table style="display: table; width:100%; table-layout: fixed;">
<thead>
<tr>
<th>Data Structure</th>
<th>Unit Test</th>
<th>Performance Test</th>
<th>API Docs</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=""></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/BinaryTree.html"><span>View</span></a></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>View</span></a></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>View</span></a></td>
</tr>
<tr>
<td>Red Black 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/RedBlackTree.html"><span>View</span></a></td>
</tr>
<tr>
<td>Tree Multimap</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/TreeMultimap.html"><span>View</span></a></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>View</span></a></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>View</span></a></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>View</span></a></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>View</span></a></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><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/Trie.html"><span>View</span></a></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>View</span></a></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>View</span></a></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>View</span></a></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>View</span></a></td>
</tr>
<tr>
<td>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/Deque.html"><span>View</span></a></td>
</tr>
<tr>
<td>Hash Map</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/HashMap.html"><span>View</span></a></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>View</span></a></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>View</span></a></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>View</span></a></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><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/Stack.html"><span>View</span></a></td>
</tr>
<tr>
<td>Segment 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/SegmentTree.html"><span>View</span></a></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>View</span></a></td>
</tr>
</tbody>
</table>
## Standard library data structure comparison
<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>priority_queue&lt;T&gt;</td>
<td>PriorityQueue&lt;E&gt;</td>
<td>heapq</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>
## Benchmark
[//]: # (No deletion!!! Start of Replace Section)
<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>10,000 add randomly</td><td>51.22</td><td>19.52</td><td>0.00</td></tr><tr><td>10,000 add & delete randomly</td><td>110.40</td><td>9.06</td><td>0.00</td></tr><tr><td>10,000 addMany</td><td>58.39</td><td>17.13</td><td>6.35e-4</td></tr><tr><td>10,000 get</td><td>50.59</td><td>19.77</td><td>3.87e-4</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</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 add randomly</td><td>13.83</td><td>72.29</td><td>1.19e-4</td></tr><tr><td>1,000 add & delete randomly</td><td>21.49</td><td>46.54</td><td>2.34e-4</td></tr><tr><td>1,000 addMany</td><td>15.93</td><td>62.78</td><td>1.27e-4</td></tr><tr><td>1,000 get</td><td>18.19</td><td>54.98</td><td>1.79e-4</td></tr><tr><td>1,000 has</td><td>18.20</td><td>54.93</td><td>1.71e-4</td></tr><tr><td>1,000 dfs</td><td>161.79</td><td>6.18</td><td>7.45e-4</td></tr><tr><td>1,000 bfs</td><td>56.68</td><td>17.64</td><td>4.77e-4</td></tr><tr><td>1,000 morris</td><td>262.64</td><td>3.81</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'>bst</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 add randomly</td><td>51.51</td><td>19.41</td><td>8.70e-4</td></tr><tr><td>10,000 add & delete randomly</td><td>114.09</td><td>8.76</td><td>9.66e-4</td></tr><tr><td>10,000 addMany</td><td>47.86</td><td>20.90</td><td>2.77e-4</td></tr><tr><td>10,000 get</td><td>51.93</td><td>19.26</td><td>6.56e-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>86.63</td><td>11.54</td><td>0.00</td></tr><tr><td>100,000 add & delete randomly</td><td>218.88</td><td>4.57</td><td>0.01</td></tr><tr><td>100,000 getNode</td><td>261.16</td><td>3.83</td><td>0.00</td></tr><tr><td>100,000 add & iterator</td><td>117.64</td><td>8.50</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'>comparison</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>SRC PQ 10,000 add</td><td>0.14</td><td>6949.20</td><td>1.53e-6</td></tr><tr><td>CJS PQ 10,000 add</td><td>0.14</td><td>6943.68</td><td>1.74e-6</td></tr><tr><td>MJS PQ 10,000 add</td><td>0.57</td><td>1758.40</td><td>6.26e-6</td></tr><tr><td>SRC PQ 10,000 add & pop</td><td>3.40</td><td>293.94</td><td>3.50e-5</td></tr><tr><td>CJS PQ 10,000 add & pop</td><td>3.42</td><td>292.69</td><td>5.34e-5</td></tr><tr><td>MJS PQ 10,000 add & pop</td><td>3.30</td><td>303.01</td><td>3.97e-5</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>9930.74</td><td>1.11e-6</td></tr><tr><td>1,000 addEdge</td><td>6.13</td><td>163.19</td><td>1.84e-4</td></tr><tr><td>1,000 getVertex</td><td>0.05</td><td>2.15e+4</td><td>5.00e-7</td></tr><tr><td>1,000 getEdge</td><td>23.57</td><td>42.43</td><td>0.00</td></tr><tr><td>tarjan</td><td>252.05</td><td>3.97</td><td>0.03</td></tr><tr><td>tarjan all</td><td>221.15</td><td>4.52</td><td>0.00</td></tr><tr><td>topologicalSort</td><td>181.07</td><td>5.52</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'>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>122.90</td><td>8.14</td><td>0.04</td></tr><tr><td>Native Map 1,000,000 set</td><td>215.97</td><td>4.63</td><td>0.02</td></tr><tr><td>Native Set 1,000,000 add</td><td>179.11</td><td>5.58</td><td>0.02</td></tr><tr><td>1,000,000 set & get</td><td>123.10</td><td>8.12</td><td>0.04</td></tr><tr><td>Native Map 1,000,000 set & get</td><td>271.80</td><td>3.68</td><td>0.02</td></tr><tr><td>Native Set 1,000,000 add & has</td><td>176.65</td><td>5.66</td><td>0.02</td></tr><tr><td>1,000,000 ObjKey set & get</td><td>341.97</td><td>2.92</td><td>0.07</td></tr><tr><td>Native Map 1,000,000 ObjKey set & get</td><td>316.86</td><td>3.16</td><td>0.04</td></tr><tr><td>Native Set 1,000,000 ObjKey add & has</td><td>285.14</td><td>3.51</td><td>0.06</td></tr></table></div>
</div><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 & pop</td><td>80.37</td><td>12.44</td><td>0.00</td></tr><tr><td>100,000 add & dfs</td><td>36.20</td><td>27.63</td><td>0.00</td></tr><tr><td>10,000 fib add & pop</td><td>362.24</td><td>2.76</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>216.09</td><td>4.63</td><td>0.06</td></tr><tr><td>1,000,000 unshift</td><td>220.68</td><td>4.53</td><td>0.02</td></tr><tr><td>1,000,000 unshift & shift</td><td>172.93</td><td>5.78</td><td>0.04</td></tr><tr><td>1,000,000 insertBefore</td><td>332.25</td><td>3.01</td><td>0.08</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>222.99</td><td>4.48</td><td>0.10</td></tr><tr><td>10,000 push & pop</td><td>214.82</td><td>4.66</td><td>0.01</td></tr><tr><td>10,000 insertBefore</td><td>251.24</td><td>3.98</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'>max-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>10,000 refill & poll</td><td>8.91</td><td>112.19</td><td>1.57e-4</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 & pop</td><td>101.70</td><td>9.83</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'>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>13.80</td><td>72.47</td><td>1.56e-4</td></tr><tr><td>1,000,000 push & pop</td><td>22.72</td><td>44.02</td><td>2.02e-4</td></tr><tr><td>100,000 push & shift</td><td>2.35</td><td>425.67</td><td>5.80e-5</td></tr><tr><td>Native Array 100,000 push & shift</td><td>2511.14</td><td>0.40</td><td>0.36</td></tr><tr><td>100,000 unshift & shift</td><td>2.23</td><td>447.89</td><td>3.30e-4</td></tr><tr><td>Native Array 100,000 unshift & shift</td><td>4140.23</td><td>0.24</td><td>0.33</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>43.65</td><td>22.91</td><td>0.01</td></tr><tr><td>100,000 push & shift</td><td>4.99</td><td>200.28</td><td>9.54e-5</td></tr><tr><td>Native Array 100,000 push & shift</td><td>2335.63</td><td>0.43</td><td>0.33</td></tr><tr><td>Native Array 100,000 push & pop</td><td>4.39</td><td>227.81</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'>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>45.38</td><td>22.04</td><td>0.01</td></tr><tr><td>1,000,000 push & pop</td><td>49.52</td><td>20.19</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'>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>42.99</td><td>23.26</td><td>0.00</td></tr><tr><td>100,000 getWords</td><td>89.78</td><td>11.14</td><td>0.00</td></tr></table></div>
</div>
[//]: # (No deletion!!! End of Replace Section)
## 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 getCutVertexes</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
<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>