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[project] quality of package improved. v1.3.6 published
2023-09-21 06:40:39 +00:00
<!DOCTYPE html><html class="default" lang="en"><head><meta charSet="utf-8"/><meta http-equiv="x-ua-compatible" content="IE=edge"/><title>data-structure-typed</title><meta name="description" content="Documentation for data-structure-typed"/><meta name="viewport" content="width=device-width, initial-scale=1"/><link rel="stylesheet" href="assets/style.css"/><link rel="stylesheet" href="assets/highlight.css"/><script defer src="assets/main.js"></script><script async src="assets/search.js" id="tsd-search-script"></script></head><body><script>document.documentElement.dataset.theme = localStorage.getItem("tsd-theme") || "os"</script><header class="tsd-page-toolbar">
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<h2>data-structure-typed</h2></div>
<div class="tsd-panel tsd-typography"><a id="md:what" class="tsd-anchor"></a><h1><a href="#md:what">What</a></h1><a id="md:brief" class="tsd-anchor"></a><h2><a href="#md:brief">Brief</a></h2><p>Data Structures of Javascript &amp; TypeScript. </p>
<a id="md:built-in-classic-algorithms" class="tsd-anchor"></a><h2><a href="#md:built-in-classic-algorithms">Built-in classic algorithms</a></h2><p>DFS(Depth-First Search), DFSIterative, BFS(Breadth-First Search),
morris, Bellman-Ford Algorithm, Dijkstra&#39;s Algorithm, Floyd-Warshall Algorithm,
Tarjan&#39;s Algorithm.</p>
<a id="md:how" class="tsd-anchor"></a><h1><a href="#md:how">How</a></h1><a id="md:install" class="tsd-anchor"></a><h2><a href="#md:install">install</a></h2><a id="md:npm" class="tsd-anchor"></a><h3><a href="#md:npm">npm</a></h3><pre><code class="language-bash"><span class="hl-0">npm</span><span class="hl-1"> </span><span class="hl-2">install</span><span class="hl-1"> </span><span class="hl-2">data-structure-typed</span><span class="hl-1"> </span><span class="hl-3">--save</span>
</code><button>Copy</button></pre>
<a id="md:yarn" class="tsd-anchor"></a><h3><a href="#md:yarn">yarn</a></h3><pre><code class="language-bash"><span class="hl-0">yarn</span><span class="hl-1"> </span><span class="hl-2">add</span><span class="hl-1"> </span><span class="hl-2">data-structure-typed</span>
</code><button>Copy</button></pre>
<a id="md:cdn" class="tsd-anchor"></a><h3><a href="#md:cdn">CDN</a></h3><pre><code class="language-html"><span class="hl-4">&lt;</span><span class="hl-5">script</span><span class="hl-6"> </span><span class="hl-7">src</span><span class="hl-6">=</span><span class="hl-8">&quot;https://cdn.jsdelivr.net/npm/data-structure-typed/dist/bundle.js&quot;</span><span class="hl-4">&gt;&lt;/</span><span class="hl-5">script</span><span class="hl-4">&gt;</span>
</code><button>Copy</button></pre>
<pre><code class="language-javascript"><span class="hl-3">const</span><span class="hl-1"> {</span><span class="hl-9">AVLTree</span><span class="hl-1">} = </span><span class="hl-10">dataStructureTyped</span><span class="hl-1">;</span><br/><span class="hl-3">const</span><span class="hl-1"> {</span><span class="hl-9">Heap</span><span class="hl-1">, </span><span class="hl-9">MinHeap</span><span class="hl-1">, </span><span class="hl-9">SinglyLinkedList</span><span class="hl-1">, </span><span class="hl-9">Stack</span><span class="hl-1">, </span><span class="hl-9">AVLTreeNode</span><span class="hl-1">, </span><span class="hl-9">BST</span><span class="hl-1">, </span><span class="hl-9">Trie</span><span class="hl-1">, </span><span class="hl-9">DirectedGraph</span><span class="hl-1">, </span><span class="hl-9">DirectedVertex</span><span class="hl-1">, </span><span class="hl-9">TreeMultiset</span><span class="hl-1">} = </span><span class="hl-10">dataStructureTyped</span><span class="hl-1">;</span>
</code><button>Copy</button></pre>
<p><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/binary-tree-array-to-binary-tree.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/binary-tree-dfs-in-order.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/avl-tree-test.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/tree-multiset-test.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/matrix-cut-off-tree-for-golf.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/directed-graph-test.webp" alt="">
<img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/examples/videos/webp_output/map-graph-test.webp" alt=""></p>
<a id="md:api-docs-amp-examples" class="tsd-anchor"></a><h2><a href="#md:api-docs-amp-examples">API docs &amp; Examples</a></h2><p><a href="https://data-structure-typed-docs.vercel.app">API Docs</a></p>
<p><a href="https://vivid-algorithm.vercel.app">Live Examples</a></p>
<p><a href="https://github.com/zrwusa/vivid-algorithm" target="_blank">Examples Repository</a></p>
<a id="md:code-snippet" class="tsd-anchor"></a><h2><a href="#md:code-snippet">Code Snippet</a></h2><a id="md:binary-search-tree-bst-snippet" class="tsd-anchor"></a><h3><a href="#md:binary-search-tree-bst-snippet">Binary Search Tree (BST) snippet</a></h3><a id="md:ts" class="tsd-anchor"></a><h4><a href="#md:ts">TS</a></h4><pre><code class="language-typescript"><span class="hl-1"> </span><span class="hl-11">import</span><span class="hl-1"> {</span><span class="hl-10">BST</span><span class="hl-1">, </span><span class="hl-10">BSTNode</span><span class="hl-1">} </span><span class="hl-11">from</span><span class="hl-1"> </span><span class="hl-2">&#39;data-structure-typed&#39;</span><span class="hl-1">;</span><br/><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">bst</span><span class="hl-1"> = </span><span class="hl-3">new</span><span class="hl-1"> </span><span class="hl-0">BST</span><span class="hl-1">();</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-12">11</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-12">3</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">addMany</span><span class="hl-1">([</span><span class="hl-12">15</span><span class="hl-1">, </span><span class="hl-12">1</span><span class="hl-1">, </span><span class="hl-12">8</span><span class="hl-1">, </span><span class="hl-12">13</span><span class="hl-1">, </span><span class="hl-12">16</span><span class="hl-1">, </span><span class="hl-12">2</span><span class="hl-1">, </span><span class="hl-12">6</span><span class="hl-1">, </span><span class="hl-12">9</span><span class="hl-1">, </span><span class="hl-12">12</span><span class="hl-1">, </span><span class="hl-12">14</span><span class="hl-1">, </span><span class="hl-12">4</span><span class="hl-1">, </span><span class="hl-12">7</span><span class="hl-1">, </span><span class="hl-12">10</span><span class="hl-1">, </span><span class="hl-12">5</span><span class="hl-1">]);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-10">size</span><span class="hl-1"> === </span><span class="hl-12">16</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">has</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">); </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">node6</span><span class="hl-1"> = </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">) === </span><span class="hl-12">2</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">() === </span><span class="hl-12">5</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getDepth</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">) === </span><span class="hl-12">3</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-3">const</span><span cl
</code><button>Copy</button></pre>
<a id="md:js" class="tsd-anchor"></a><h4><a href="#md:js">JS</a></h4><pre><code class="language-javascript"><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> {</span><span class="hl-9">BST</span><span class="hl-1">, </span><span class="hl-9">BSTNode</span><span class="hl-1">} = </span><span class="hl-0">require</span><span class="hl-1">(</span><span class="hl-2">&#39;data-structure-typed&#39;</span><span class="hl-1">);</span><br/><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">bst</span><span class="hl-1"> = </span><span class="hl-3">new</span><span class="hl-1"> </span><span class="hl-0">BST</span><span class="hl-1">();</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-12">11</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-12">3</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">addMany</span><span class="hl-1">([</span><span class="hl-12">15</span><span class="hl-1">, </span><span class="hl-12">1</span><span class="hl-1">, </span><span class="hl-12">8</span><span class="hl-1">, </span><span class="hl-12">13</span><span class="hl-1">, </span><span class="hl-12">16</span><span class="hl-1">, </span><span class="hl-12">2</span><span class="hl-1">, </span><span class="hl-12">6</span><span class="hl-1">, </span><span class="hl-12">9</span><span class="hl-1">, </span><span class="hl-12">12</span><span class="hl-1">, </span><span class="hl-12">14</span><span class="hl-1">, </span><span class="hl-12">4</span><span class="hl-1">, </span><span class="hl-12">7</span><span class="hl-1">, </span><span class="hl-12">10</span><span class="hl-1">, </span><span class="hl-12">5</span><span class="hl-1">]);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-10">size</span><span class="hl-1"> === </span><span class="hl-12">16</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">has</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">); </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">node6</span><span class="hl-1"> = </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">) === </span><span class="hl-12">2</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">() === </span><span class="hl-12">5</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getDepth</span><span class="hl-1">(</span><span class="hl-12">6</span><span class="hl-1">) === </span><span class="hl-12">3</span><span class="hl-1">; </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">leftMost</span><span class="hl-1"> = </span><span class="hl-10">bst</span><span class="hl-1">.</span><span class="hl-0">getLeftMost</span><span class="hl-1">();</span><br/><span class="hl-1"> </span><span class="
</code><button>Copy</button></pre>
<a id="md:directed-graph-simple-snippet" class="tsd-anchor"></a><h3><a href="#md:directed-graph-simple-snippet">Directed Graph simple snippet</a></h3><a id="md:ts-or-js" class="tsd-anchor"></a><h4><a href="#md:ts-or-js">TS or JS</a></h4><pre><code class="language-typescript"><span class="hl-11">import</span><span class="hl-1"> {</span><span class="hl-10">DirectedGraph</span><span class="hl-1">} </span><span class="hl-11">from</span><span class="hl-1"> </span><span class="hl-2">&#39;data-structure-typed&#39;</span><span class="hl-1">;</span><br/><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">graph</span><span class="hl-1"> = </span><span class="hl-3">new</span><span class="hl-1"> </span><span class="hl-0">DirectedGraph</span><span class="hl-1">();</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">); </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">); </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;C&#39;</span><span class="hl-1">); </span><span class="hl-13">// false</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">); </span><span class="hl-13">// true</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">); </span><span class="hl-13">// false</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">removeEdgeSrcToDest</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">hasEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">); </span><span class="hl-13">// false</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;C&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-10">grap
</code><button>Copy</button></pre>
<a id="md:undirected-graph-snippet" class="tsd-anchor"></a><h3><a href="#md:undirected-graph-snippet">Undirected Graph snippet</a></h3><a id="md:ts-or-js-1" class="tsd-anchor"></a><h4><a href="#md:ts-or-js-1">TS or JS</a></h4><pre><code class="language-typescript"><span class="hl-11">import</span><span class="hl-1"> {</span><span class="hl-10">UndirectedGraph</span><span class="hl-1">} </span><span class="hl-11">from</span><span class="hl-1"> </span><span class="hl-2">&#39;data-structure-typed&#39;</span><span class="hl-1">;</span><br/><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">graph</span><span class="hl-1"> = </span><span class="hl-3">new</span><span class="hl-1"> </span><span class="hl-0">UndirectedGraph</span><span class="hl-1">();</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;C&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;D&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">removeVertex</span><span class="hl-1">(</span><span class="hl-2">&#39;C&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">addEdge</span><span class="hl-1">(</span><span class="hl-2">&#39;B&#39;</span><span class="hl-1">, </span><span class="hl-2">&#39;D&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><br/><span class="hl-1"> </span><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-9">dijkstraResult</span><span class="hl-1"> = </span><span class="hl-10">graph</span><span class="hl-1">.</span><span class="hl-0">dijkstra</span><span class="hl-1">(</span><span class="hl-2">&#39;A&#39;</span><span class="hl-1">);</span><br/><span class="hl-1"> </span><span class="hl-10">Array</span><span class="hl-1">.</span><span class="hl-0">from</span><span class="hl-1">(</span><span class="hl-10">dijkstraResult</span><span class="hl-1">?.</span><span class="hl-10">seen</span><span class="hl-1"> ?? []).</span><span class="hl-0">map</span><span class="hl-1">(</span><span class="hl-10">vertex</span><span class="hl-1"> </span><span class="hl-3">=&gt;</span><span class="hl-1"> </span><span class="hl-10">vertex</span><span class="hl-1">.</span><span class="hl-10">id</span><span class="hl-1">) </span><span class="hl-13">// [&#39;A&#39;, &#39;B&#39;, &#39;D&#39;]</span>
</code><button>Copy</button></pre>
<a id="md:data-structures" class="tsd-anchor"></a><h2><a href="#md:data-structures">Data Structures</a></h2><table>
<thead>
<tr>
<th>Data Structure</th>
<th>Unit Test</th>
<th>Performance Test</th>
<th>API Documentation</th>
<th>Implemented</th>
</tr>
</thead>
<tbody>
<tr>
<td>Binary Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></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>Binary Tree</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Binary Search Tree (BST)</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/BST.html"><span>BST</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>AVL Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/AVLTree.html"><span>AVLTree</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Tree Multiset</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/TreeMultiset.html"><span>TreeMultiset</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Segment Tree</td>
<td></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/SegmentTree.html"><span>SegmentTree</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Binary Indexed Tree</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/BinaryIndexedTree.html"><span>BinaryIndexedTree</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/AbstractGraph.html"><span>AbstractGraph</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Directed Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/DirectedGraph.html"><span>DirectedGraph</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Undirected Graph</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/UndirectedGraph.html"><span>UndirectedGraph</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/SinglyLinkedList.html"><span>SinglyLinkedList</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Singly Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/SinglyLinkedList.html"><span>SinglyLinkedList</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Doubly Linked List</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/DoublyLinkedList.html"><span>DoublyLinkedList</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/Queue.html"><span>Queue</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Object Deque</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/ObjectDeque.html"><span>ObjectDeque</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Array Deque</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/ArrayDeque.html"><span>ArrayDeque</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Stack</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/Stack.html"><span>Stack</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Coordinate Set</td>
<td></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/CoordinateSet.html"><span>CoordinateSet</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Coordinate Map</td>
<td></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/CoordinateMap.html"><span>CoordinateMap</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Heap</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/Heap.html"><span>Heap</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/PriorityQueue.html"><span>PriorityQueue</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Max Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/MaxPriorityQueue.html"><span>MaxPriorityQueue</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Min Priority Queue</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/MinPriorityQueue.html"><span>MinPriorityQueue</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
<tr>
<td>Trie</td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
<td></td>
<td><a href="https://data-structure-typed-docs.vercel.app/classes/Trie.html"><span>Trie</span></a></td>
<td><img src="https://raw.githubusercontent.com/zrwusa/assets/master/images/data-structure-typed/assets/tick.svg" alt=""></td>
</tr>
</tbody>
</table>
<a id="md:why" class="tsd-anchor"></a><h1><a href="#md:why">Why</a></h1><a id="md:code-design" class="tsd-anchor"></a><h2><a href="#md:code-design">Code design</a></h2><p>By strictly adhering to object-oriented design (BinaryTree -&gt; BST -&gt; AVLTree -&gt; TreeMultiset), you can seamlessly inherit the existing data structures to implement the customized ones you need. Object-oriented design stands as the optimal approach to data structure design.</p>
<a id="md:complexities" class="tsd-anchor"></a><h2><a href="#md:complexities">Complexities</a></h2><a id="md:performance-of-big-o" class="tsd-anchor"></a><h3><a href="#md:performance-of-big-o">performance of Big O</a></h3><table>
<thead>
<tr>
<th>Big O Notation</th>
<th>Type</th>
<th>Computations for 10 elements</th>
<th>Computations for 100 elements</th>
<th>Computations for 1000 elements</th>
</tr>
</thead>
<tbody>
<tr>
<td><strong>O(1)</strong></td>
<td>Constant</td>
<td>1</td>
<td>1</td>
<td>1</td>
</tr>
<tr>
<td><strong>O(log N)</strong></td>
<td>Logarithmic</td>
<td>3</td>
<td>6</td>
<td>9</td>
</tr>
<tr>
<td><strong>O(N)</strong></td>
<td>Linear</td>
<td>10</td>
<td>100</td>
<td>1000</td>
</tr>
<tr>
<td><strong>O(N log N)</strong></td>
<td>n log(n)</td>
<td>30</td>
<td>600</td>
<td>9000</td>
</tr>
<tr>
<td><strong>O(N^2)</strong></td>
<td>Quadratic</td>
<td>100</td>
<td>10000</td>
<td>1000000</td>
</tr>
<tr>
<td><strong>O(2^N)</strong></td>
<td>Exponential</td>
<td>1024</td>
<td>1.26e+29</td>
<td>1.07e+301</td>
</tr>
<tr>
<td><strong>O(N!)</strong></td>
<td>Factorial</td>
<td>3628800</td>
<td>9.3e+157</td>
<td>4.02e+2567</td>
</tr>
</tbody>
</table>
<a id="md:data-structure-complexity" class="tsd-anchor"></a><h3><a href="#md:data-structure-complexity">Data Structure Complexity</a></h3><table>
<thead>
<tr>
<th>Data Structure</th>
<th>Access</th>
<th>Search</th>
<th>Insertion</th>
<th>Deletion</th>
<th>Comments</th>
</tr>
</thead>
<tbody>
<tr>
<td><strong>Array</strong></td>
<td>1</td>
<td>n</td>
<td>n</td>
<td>n</td>
<td></td>
</tr>
<tr>
<td><strong>Stack</strong></td>
<td>n</td>
<td>n</td>
<td>1</td>
<td>1</td>
<td></td>
</tr>
<tr>
<td><strong>Queue</strong></td>
<td>n</td>
<td>n</td>
<td>1</td>
<td>1</td>
<td></td>
</tr>
<tr>
<td><strong>Linked List</strong></td>
<td>n</td>
<td>n</td>
<td>1</td>
<td>n</td>
<td></td>
</tr>
<tr>
<td><strong>Hash Table</strong></td>
<td>-</td>
<td>n</td>
<td>n</td>
<td>n</td>
<td>In case of perfect hash function costs would be O(1)</td>
</tr>
<tr>
<td><strong>Binary Search Tree</strong></td>
<td>n</td>
<td>n</td>
<td>n</td>
<td>n</td>
<td>In case of balanced tree costs would be O(log(n))</td>
</tr>
<tr>
<td><strong>B-Tree</strong></td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td></td>
</tr>
<tr>
<td><strong>Red-Black Tree</strong></td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td></td>
</tr>
<tr>
<td><strong>AVL Tree</strong></td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td>log(n)</td>
<td></td>
</tr>
<tr>
<td><strong>Bloom Filter</strong></td>
<td>-</td>
<td>1</td>
<td>1</td>
<td>-</td>
<td>False positives are possible while searching</td>
</tr>
</tbody>
</table>
<a id="md:sorting-complexity" class="tsd-anchor"></a><h3><a href="#md:sorting-complexity">Sorting Complexity</a></h3><table>
<thead>
<tr>
<th>Name</th>
<th>Best</th>
<th>Average</th>
<th>Worst</th>
<th>Memory</th>
<th>Stable</th>
<th>Comments</th>
</tr>
</thead>
<tbody>
<tr>
<td><strong>Bubble sort</strong></td>
<td>n</td>
<td>n<sup>2</sup></td>
<td>n<sup>2</sup></td>
<td>1</td>
<td>Yes</td>
<td></td>
</tr>
<tr>
<td><strong>Insertion sort</strong></td>
<td>n</td>
<td>n<sup>2</sup></td>
<td>n<sup>2</sup></td>
<td>1</td>
<td>Yes</td>
<td></td>
</tr>
<tr>
<td><strong>Selection sort</strong></td>
<td>n<sup>2</sup></td>
<td>n<sup>2</sup></td>
<td>n<sup>2</sup></td>
<td>1</td>
<td>No</td>
<td></td>
</tr>
<tr>
<td><strong>Heap sort</strong></td>
<td>n&nbsp;log(n)</td>
<td>n&nbsp;log(n)</td>
<td>n&nbsp;log(n)</td>
<td>1</td>
<td>No</td>
<td></td>
</tr>
<tr>
<td><strong>Merge sort</strong></td>
<td>n&nbsp;log(n)</td>
<td>n&nbsp;log(n)</td>
<td>n&nbsp;log(n)</td>
<td>n</td>
<td>Yes</td>
<td></td>
</tr>
<tr>
<td><strong>Quick sort</strong></td>
<td>n&nbsp;log(n)</td>
<td>n&nbsp;log(n)</td>
<td>n<sup>2</sup></td>
<td>log(n)</td>
<td>No</td>
<td>Quicksort is usually done in-place with O(log(n)) stack space</td>
</tr>
<tr>
<td><strong>Shell sort</strong></td>
<td>n&nbsp;log(n)</td>
<td>depends on gap sequence</td>
<td>n&nbsp;(log(n))<sup>2</sup></td>
<td>1</td>
<td>No</td>
<td></td>
</tr>
<tr>
<td><strong>Counting sort</strong></td>
<td>n + r</td>
<td>n + r</td>
<td>n + r</td>
<td>n + r</td>
<td>Yes</td>
<td>r - biggest number in array</td>
</tr>
<tr>
<td><strong>Radix sort</strong></td>
<td>n * k</td>
<td>n * k</td>
<td>n * k</td>
<td>n + k</td>
<td>Yes</td>
<td>k - length of longest key</td>
</tr>
</tbody>
</table>
<p><img src="https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/complexities-diff.jpg?raw=true" alt="complexities"></p>
<p><img src="https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/assets/data-structure-complexities.jpg?raw=true" alt="complexities of data structures"></p>
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<li><a href="functions/isThunk.html"><svg class="tsd-kind-icon" viewBox="0 0 24 24"><use href="#icon-64"></use></svg><span>is<wbr/>Thunk</span></a></li>
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