# What ## Brief Javascript & TypeScript Data Structure Library. Meticulously crafted to empower developers with a versatile set of essential data structures. Our library includes a wide range of data structures ## Data Structures [//]: # () [//]: # () [//]: # () [//]: # () [//]: # () [//]: # () [//]: # ()

Data Structure	Unit Test	Performance Test	API Documentation	Implemented
Binary Tree			Binary Tree
Binary Search Tree (BST)			BST
AVL Tree			AVLTree
Tree Multiset			TreeMultiSet
Segment Tree			SegmentTree
Binary Indexed Tree			BinaryIndexedTree
Graph			AbstractGraph
Directed Graph			DirectedGraph
Undirected Graph			UndirectedGraph
Linked List			SinglyLinkedList
Singly Linked List			SinglyLinkedList
Doubly Linked List			DoublyLinkedList
Queue			Queue
Object Deque			ObjectDeque
Array Deque			ArrayDeque
Stack			Stack
Hash			HashTable
Coordinate Set			CoordinateSet
Coordinate Map			CoordinateMap
Heap			Heap
Priority Queue			PriorityQueue
Max Priority Queue			MaxPriorityQueue
Min Priority Queue			MinPriorityQueue
Trie			Trie

## Algorithms list only a few out, you can discover more in API docs DFS, DFSIterative, BFS, morris, Bellman-Ford Algorithm, Dijkstra's Algorithm, Floyd-Warshall Algorithm, Tarjan's Algorithm # How [API Docs](https://data-structure-typed-docs.vercel.app) [Live Examples](https://data-structure-typed-examples.vercel.app) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/dfs-pre-order.webp) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/test-graphs.webp) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/cut-off-trees-for-golf.webp) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/examples/parenthesis-check.webp) Live Examples ## install ### yarn ```bash yarn add data-structure-typed ``` ### npm ```bash npm install data-structure-typed ``` ### Binary Search Tree (BST) snippet ```typescript import {BST, BSTNode} from 'data-structure-typed'; const tree = new BST(); expect(tree).toBeInstanceOf(BST); const ids = [11, 3, 15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5]; tree.addMany(ids); expect(tree.root).toBeInstanceOf(BSTNode); if (tree.root) expect(tree.root.id).toBe(11); expect(tree.count).toBe(16); expect(tree.has(6)).toBe(true); const node6 = tree.get(6); expect(node6 && tree.getHeight(node6)).toBe(2); expect(node6 && tree.getDepth(node6)).toBe(3); const nodeId10 = tree.get(10, 'id'); expect(nodeId10?.id).toBe(10); const nodeVal9 = tree.get(9, 'val'); expect(nodeVal9?.id).toBe(9); const nodesByCount1 = tree.getNodes(1, 'count'); expect(nodesByCount1.length).toBe(16); const leftMost = tree.getLeftMost(); expect(leftMost?.id).toBe(1); const node15 = tree.get(15); const minNodeBySpecificNode = node15 && tree.getLeftMost(node15); expect(minNodeBySpecificNode?.id).toBe(12); const subTreeSum = node15 && tree.subTreeSum(node15); expect(subTreeSum).toBe(70); const lesserSum = tree.lesserSum(10); expect(lesserSum).toBe(45); expect(node15).toBeInstanceOf(BSTNode); if (node15 instanceof BSTNode) { const subTreeAdd = tree.subTreeAdd(node15, 1, 'count'); expect(subTreeAdd).toBeDefined(); } const node11 = tree.get(11); expect(node11).toBeInstanceOf(BSTNode); if (node11 instanceof BSTNode) { const allGreaterNodesAdded = tree.allGreaterNodesAdd(node11, 2, 'count'); expect(allGreaterNodesAdded).toBeDefined(); } const dfsInorderNodes = tree.DFS('in', 'node'); expect(dfsInorderNodes[0].id).toBe(1); expect(dfsInorderNodes[dfsInorderNodes.length - 1].id).toBe(16); tree.balance(); expect(tree.isBalanced()).toBe(true); const bfsNodesAfterBalanced = tree.BFS('node'); expect(bfsNodesAfterBalanced[0].id).toBe(8); expect(bfsNodesAfterBalanced[bfsNodesAfterBalanced.length - 1].id).toBe(16); const removed11 = tree.remove(11, true); expect(removed11).toBeInstanceOf(Array); expect(removed11[0]).toBeDefined(); expect(removed11[0].deleted).toBeDefined(); if (removed11[0].deleted) expect(removed11[0].deleted.id).toBe(11); expect(tree.isAVLBalanced()).toBe(true); expect(node15 && tree.getHeight(node15)).toBe(2); const removed1 = tree.remove(1, true); expect(removed1).toBeInstanceOf(Array); expect(removed1[0]).toBeDefined(); expect(removed1[0].deleted).toBeDefined(); if (removed1[0].deleted) expect(removed1[0].deleted.id).toBe(1); expect(tree.isAVLBalanced()).toBe(true); expect(tree.getHeight()).toBe(4); // The code for removing these nodes (4, 10, 15, 5, 13, 3, 8, 6, 7, 9, 14) in sequence has been omitted. expect(tree.isAVLBalanced()).toBe(false); const bfsIDs = tree.BFS(); expect(bfsIDs[0]).toBe(2); expect(bfsIDs[1]).toBe(12); expect(bfsIDs[2]).toBe(16); const bfsNodes = tree.BFS('node'); expect(bfsNodes[0].id).toBe(2); expect(bfsNodes[1].id).toBe(12); expect(bfsNodes[2].id).toBe(16); ``` ### Directed Graph simple snippet ```typescript import {DirectedGraph, DirectedVertex, DirectedEdge, VertexId} from 'data-structure-typed'; let graph: DirectedGraph; beforeEach(() => { graph = new DirectedGraph(); }); it('should add vertices', () => { const vertex1 = new DirectedVertex('A'); const vertex2 = new DirectedVertex('B'); graph._addVertexOnly(vertex1); graph._addVertexOnly(vertex2); expect(graph.hasVertex(vertex1)).toBe(true); expect(graph.hasVertex(vertex2)).toBe(true); }); it('should add edges', () => { const vertex1 = new DirectedVertex('A'); const vertex2 = new DirectedVertex('B'); const edge = new DirectedEdge('A', 'B'); graph._addVertexOnly(vertex1); graph._addVertexOnly(vertex2); graph._addEdgeOnly(edge); expect(graph.hasEdge('A', 'B')).toBe(true); expect(graph.hasEdge('B', 'A')).toBe(false); }); it('should remove edges', () => { const vertex1 = new DirectedVertex('A'); const vertex2 = new DirectedVertex('B'); const edge = new DirectedEdge('A', 'B'); graph._addVertexOnly(vertex1); graph._addVertexOnly(vertex2); graph._addEdgeOnly(edge); expect(graph.removeEdge(edge)).toBe(edge); expect(graph.hasEdge('A', 'B')).toBe(false); }); it('should perform topological sort', () => { const vertexA = new DirectedVertex('A'); const vertexB = new DirectedVertex('B'); const vertexC = new DirectedVertex('C'); const edgeAB = new DirectedEdge('A', 'B'); const edgeBC = new DirectedEdge('B', 'C'); graph._addVertexOnly(vertexA); graph._addVertexOnly(vertexB); graph._addVertexOnly(vertexC); graph._addEdgeOnly(edgeAB); graph._addEdgeOnly(edgeBC); const topologicalOrder = graph.topologicalSort(); if (topologicalOrder) expect(topologicalOrder.map(v => v.id)).toEqual(['A', 'B', 'C']); }); ``` ### Directed Graph complex snippet ```typescript import {DirectedGraph, DirectedVertex, DirectedEdge, VertexId} from 'data-structure-typed'; class MyVertex extends DirectedVertex { private _data: string; get data(): string { return this._data; } set data(value: string) { this._data = value; } constructor(id: VertexId, data: string) { super(id); this._data = data; } } class MyEdge extends DirectedEdge { private _data: string; get data(): string { return this._data; } set data(value: string) { this._data = value; } constructor(v1: VertexId, v2: VertexId, weight: number, data: string) { super(v1, v2, weight); this._data = data; } } describe('DirectedGraph Test3', () => { const myGraph = new DirectedGraph(); it('should test graph operations', () => { const vertex1 = new MyVertex(1, 'data1'); const vertex2 = new MyVertex(2, 'data2'); const vertex3 = new MyVertex(3, 'data3'); const vertex4 = new MyVertex(4, 'data4'); const vertex5 = new MyVertex(5, 'data5'); const vertex6 = new MyVertex(6, 'data6'); const vertex7 = new MyVertex(7, 'data7'); const vertex8 = new MyVertex(8, 'data8'); const vertex9 = new MyVertex(9, 'data9'); myGraph._addVertexOnly(vertex1); myGraph._addVertexOnly(vertex2); myGraph._addVertexOnly(vertex3); myGraph._addVertexOnly(vertex4); myGraph._addVertexOnly(vertex5); myGraph._addVertexOnly(vertex6); myGraph._addVertexOnly(vertex7); myGraph._addVertexOnly(vertex8); myGraph._addVertexOnly(vertex9); myGraph._addEdgeOnly(new MyEdge(1, 2, 10, 'edge-data1-2')); myGraph._addEdgeOnly(new MyEdge(2, 1, 20, 'edge-data2-1')); expect(myGraph.getEdge(1, 2)).toBeTruthy(); expect(myGraph.getEdge(2, 1)).toBeTruthy(); expect(myGraph.getEdge(1, '100')).toBeFalsy(); myGraph.removeEdgeBetween(1, 2); expect(myGraph.getEdge(1, 2)).toBeFalsy(); myGraph._addEdgeOnly(new MyEdge(3, 1, 3, 'edge-data-3-1')); myGraph._addEdgeOnly(new MyEdge(1, 9, 19, 'edge-data1-9')); myGraph._addEdgeOnly(new MyEdge(9, 7, 97, 'edge-data9-7')); myGraph._addEdgeOnly(new MyEdge(7, 9, 79, 'edge-data7-9')); myGraph._addEdgeOnly(new MyEdge(1, 4, 14, 'edge-data1-4')); myGraph._addEdgeOnly(new MyEdge(4, 7, 47, 'edge-data4-7')); myGraph._addEdgeOnly(new MyEdge(1, 2, 12, 'edge-data1-2')); myGraph._addEdgeOnly(new MyEdge(2, 3, 23, 'edge-data2-3')); myGraph._addEdgeOnly(new MyEdge(3, 5, 35, 'edge-data3-5')); myGraph._addEdgeOnly(new MyEdge(5, 7, 57, 'edge-data5-7')); myGraph._addEdgeOnly(new MyEdge(7, 3, 73, 'edge-data7-3')); const topologicalSorted = myGraph.topologicalSort(); expect(topologicalSorted).toBeNull(); const minPath1to7 = myGraph.getMinPathBetween(1, 7); expect(minPath1to7).toBeInstanceOf(Array); if (minPath1to7 && minPath1to7.length > 0) { expect(minPath1to7).toHaveLength(3); expect(minPath1to7[0]).toBeInstanceOf(MyVertex); expect(minPath1to7[0].id).toBe(1); expect(minPath1to7[1].id).toBe(9); expect(minPath1to7[2].id).toBe(7); } const fordResult1 = myGraph.bellmanFord(1); expect(fordResult1).toBeTruthy(); expect(fordResult1.hasNegativeCycle).toBeUndefined(); const {distMap, preMap, paths, min, minPath} = fordResult1; expect(distMap).toBeInstanceOf(Map); expect(distMap.size).toBe(9); expect(distMap.get(vertex1)).toBe(0); expect(distMap.get(vertex2)).toBe(12); expect(distMap.get(vertex3)).toBe(35); expect(distMap.get(vertex4)).toBe(14); expect(distMap.get(vertex5)).toBe(70); expect(distMap.get(vertex6)).toBe(Infinity); expect(distMap.get(vertex7)).toBe(61); expect(distMap.get(vertex8)).toBe(Infinity); expect(distMap.get(vertex9)).toBe(19); expect(preMap).toBeInstanceOf(Map); expect(preMap.size).toBe(0); expect(paths).toBeInstanceOf(Array); expect(paths.length).toBe(0); expect(min).toBe(Infinity); expect(minPath).toBeInstanceOf(Array); const floydResult = myGraph.floyd(); expect(floydResult).toBeTruthy(); if (floydResult) { const {costs, predecessor} = floydResult; expect(costs).toBeInstanceOf(Array); expect(costs.length).toBe(9); expect(costs[0]).toEqual([32, 12, 35, 14, 70, Infinity, 61, Infinity, 19]); expect(costs[1]).toEqual([20, 32, 23, 34, 58, Infinity, 81, Infinity, 39]); expect(costs[2]).toEqual([3, 15, 38, 17, 35, Infinity, 64, Infinity, 22]); expect(costs[3]).toEqual([123, 135, 120, 137, 155, Infinity, 47, Infinity, 126]); expect(costs[4]).toEqual([133, 145, 130, 147, 165, Infinity, 57, Infinity, 136]); expect(costs[5]).toEqual([Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity]); expect(costs[6]).toEqual([76, 88, 73, 90, 108, Infinity, 137, Infinity, 79]); expect(costs[7]).toEqual([Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity, Infinity]); expect(costs[8]).toEqual([173, 185, 170, 187, 205, Infinity, 97, Infinity, 176]); expect(predecessor).toBeInstanceOf(Array); expect(predecessor.length).toBe(9); expect(predecessor[0]).toEqual([vertex2, null, vertex2, null, vertex3, null, vertex4, null, null]); expect(predecessor[1]).toEqual([null, vertex1, null, vertex1, vertex3, null, vertex4, null, vertex1]); expect(predecessor[5]).toEqual([null, null, null, null, null, null, null, null, null]); expect(predecessor[7]).toEqual([null, null, null, null, null, null, null, null, null]); expect(predecessor[8]).toEqual([vertex7, vertex7, vertex7, vertex7, vertex7, null, null, null, vertex7]); } const dijkstraRes12tt = myGraph.dijkstra(1, 2, true, true); expect(dijkstraRes12tt).toBeTruthy(); if (dijkstraRes12tt) { const {distMap, minDist, minPath, paths, preMap, seen} = dijkstraRes12tt; expect(distMap).toBeInstanceOf(Map); expect(distMap.size).toBe(9); expect(distMap.get(vertex1)).toBe(0); expect(distMap.get(vertex2)).toBe(12); expect(distMap.get(vertex3)).toBe(Infinity); expect(distMap.get(vertex4)).toBe(14); expect(distMap.get(vertex5)).toBe(Infinity); expect(distMap.get(vertex6)).toBe(Infinity); expect(distMap.get(vertex7)).toBe(Infinity); expect(distMap.get(vertex8)).toBe(Infinity); expect(distMap.get(vertex9)).toBe(19); expect(minDist).toBe(12); expect(minPath).toBeInstanceOf(Array); expect(minPath.length).toBe(2); expect(minPath[0]).toBe(vertex1); expect(minPath[1]).toBe(vertex2); expect(paths).toBeInstanceOf(Array); expect(paths.length).toBe(9); expect(paths[0]).toBeInstanceOf(Array); expect(paths[0][0]).toBe(vertex1); expect(paths[1]).toBeInstanceOf(Array); expect(paths[1][0]).toBe(vertex1); expect(paths[1][1]).toBe(vertex2); expect(paths[2]).toBeInstanceOf(Array); expect(paths[2][0]).toBe(vertex3); expect(paths[3]).toBeInstanceOf(Array); expect(paths[3][0]).toBe(vertex1); expect(paths[3][1]).toBe(vertex4); expect(paths[4]).toBeInstanceOf(Array); expect(paths[4][0]).toBe(vertex5); expect(paths[5]).toBeInstanceOf(Array); expect(paths[5][0]).toBe(vertex6); expect(paths[6]).toBeInstanceOf(Array); expect(paths[6][0]).toBe(vertex7); expect(paths[7]).toBeInstanceOf(Array); expect(paths[7][0]).toBe(vertex8); expect(paths[8]).toBeInstanceOf(Array); expect(paths[8][0]).toBe(vertex1); expect(paths[8][1]).toBe(vertex9); } }); }); ``` ## API docs [//]: # ([Examples Repository](https://github.com/zrwusa/data-structure-typed-examples)) Examples Repository # Why ## Complexities ### performance of Big O

Big O Notation	Type	Computations for 10 elements	Computations for 100 elements	Computations for 1000 elements
O(1)	Constant	1	1	1
O(log N)	Logarithmic	3	6	9
O(N)	Linear	10	100	1000
O(N log N)	n log(n)	30	600	9000
O(N^2)	Quadratic	100	10000	1000000
O(2^N)	Exponential	1024	1.26e+29	1.07e+301
O(N!)	Factorial	3628800	9.3e+157	4.02e+2567

### Data Structure Complexity

Data Structure	Access	Search	Insertion	Deletion	Comments
Array	1	n	n	n
Stack	n	n	1	1
Queue	n	n	1	1
Linked List	n	n	1	n
Hash Table	-	n	n	n	In case of perfect hash function costs would be O(1)
Binary Search Tree	n	n	n	n	In case of balanced tree costs would be O(log(n))
B-Tree	log(n)	log(n)	log(n)	log(n)
Red-Black Tree	log(n)	log(n)	log(n)	log(n)
AVL Tree	log(n)	log(n)	log(n)	log(n)
Bloom Filter	-	1	1	-	False positives are possible while searching

### Sorting Complexity

Name	Best	Average	Worst	Memory	Stable	Comments
Bubble sort	n	n²	n²	1	Yes
Insertion sort	n	n²	n²	1	Yes
Selection sort	n²	n²	n²	1	No
Heap sort	n log(n)	n log(n)	n log(n)	1	No
Merge sort	n log(n)	n log(n)	n log(n)	n	Yes
Quick sort	n log(n)	n log(n)	n²	log(n)	No	Quicksort is usually done in-place with O(log(n)) stack space
Shell sort	n log(n)	depends on gap sequence	n (log(n))²	1	No
Counting sort	n + r	n + r	n + r	n + r	Yes	r - biggest number in array
Radix sort	n * k	n * k	n * k	n + k	Yes	k - length of longest key

![overview diagram](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/overview-diagram-of-data-structures.png) ![complexities](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/complexities-diff.jpg) ![complexities of data structures](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/data-structure-complexities.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/binary-tree/bst-rotation.gif) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/binary-tree/avl-tree-inserting.gif) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/tarjan.webp) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-list.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-list-pros-cons.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-matrix.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/adjacency-matrix-pros-cons.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/dfs-can-do.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/edge-list.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/edge-list-pros-cons.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/max-flow.jpg) ![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/mst.jpg) [//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/tarjan-articulation-point-bridge.png)) [//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/tarjan-complicate-simple.png)) [//]: # (![](https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/graph/tarjan-strongly-connected-component.png))