bst-typed
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<h2>bst-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>This is a standalone BST (Binary Search Tree) data structure from the data-structure-typed collection. If you wish to access more data structures or advanced features, you can transition to directly installing the complete <a href="https://www.npmjs.com/package/data-structure-typed">data-structure-typed</a> package</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">i</span><span class="hl-1"> </span><span class="hl-2">bst-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">bst-typed</span>
</code><button>Copy</button></pre>
<a id="md:methods" class="tsd-anchor"></a><h3><a href="#md:methods">methods</a></h3><p><img src="https://github.com/zrwusa/assets/blob/master/images/data-structure-typed/methods-8bit/bst.png?raw=true" alt=""></p>
<a id="md:snippet" class="tsd-anchor"></a><h3><a href="#md:snippet">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-4">import</span><span class="hl-1"> {</span><span class="hl-5">BST</span><span class="hl-1">, </span><span class="hl-5">BSTNode</span><span class="hl-1">} </span><span class="hl-4">from</span><span class="hl-1"> </span><span class="hl-2">'data-structure-typed'</span><span class="hl-1">;</span><br/><span class="hl-6">// /* or if you prefer */ import {BST, BSTNode} from 'bst-typed';</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">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-5">bst</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BST</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">);</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-9">3</span><span class="hl-1">);</span><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">idsAndValues</span><span class="hl-1"> = [</span><span class="hl-9">15</span><span class="hl-1">, </span><span class="hl-9">1</span><span class="hl-1">, </span><span class="hl-9">8</span><span class="hl-1">, </span><span class="hl-9">13</span><span class="hl-1">, </span><span class="hl-9">16</span><span class="hl-1">, </span><span class="hl-9">2</span><span class="hl-1">, </span><span class="hl-9">6</span><span class="hl-1">, </span><span class="hl-9">9</span><span class="hl-1">, </span><span class="hl-9">12</span><span class="hl-1">, </span><span class="hl-9">14</span><span class="hl-1">, </span><span class="hl-9">4</span><span class="hl-1">, </span><span class="hl-9">7</span><span class="hl-1">, </span><span class="hl-9">10</span><span class="hl-1">, </span><span class="hl-9">5</span><span class="hl-1">];</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">addMany</span><span class="hl-1">(</span><span class="hl-5">idsAndValues</span><span class="hl-1">);</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1">) </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 11</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">size</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">has</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node6</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">);</span><br/><span class="hl-5">node6</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// 2</span><br/><span class="hl-5">node6</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getDepth</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">nodeId10</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">);</span><br/><span class="hl-5">nodeId10</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 10</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">nodeVal9</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">9</span><span class="hl-1">, </span><span class="hl-2">'val'</span><span class="hl-1">);</span><br/><span class="hl-5">nodeVal9</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 9</span><br/><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">leftMost</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getLeftMost</span><span class="hl-1">();</span><br/><span class="hl-5">leftMost</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node15</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">);</span><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">minNodeBySpecificNode</span><span class="hl-1"> = </span><span class="hl-5">node15</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getLeftMost</span><span class="hl-1">(</span><span class="hl-5">node15</span><span class="hl-1">);</span><br/><span class="hl-5">minNodeBySpecificNode</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 12</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">subTreeSum</span><span class="hl-1"> = </span><span class="hl-5">node15</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">subTreeSum</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">);</span><br/><span class="hl-5">subTreeSum</span><span class="hl-1">; </span><span class="hl-6">// 70</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">lesserSum</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">lesserSum</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">);</span><br/><span class="hl-5">lesserSum</span><span class="hl-1">; </span><span class="hl-6">// 45</span><br/><br/><span class="hl-5">node15</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node11</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">);</span><br/><span class="hl-5">node11</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">dfsInorderNodes</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">DFS</span><span class="hl-1">(</span><span class="hl-2">'in'</span><span class="hl-1">, </span><span class="hl-2">'node'</span><span class="hl-1">);</span><br/><span class="hl-5">dfsInorderNodes</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><span class="hl-5">dfsInorderNodes</span><span class="hl-1">[</span><span class="hl-5">dfsInorderNodes</span><span class="hl-1">.</span><span class="hl-5">length</span><span class="hl-1"> - </span><span class="hl-9">1</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">perfectlyBalance</span><span class="hl-1">();</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isPerfectlyBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">bfsNodesAfterBalanced</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">BFS</span><span class="hl-1">(</span><span class="hl-2">'node'</span><span class="hl-1">);</span><br/><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 8);</span><br/><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">[</span><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">.</span><span class="hl-5">length</span><span class="hl-1"> - </span><span class="hl-9">1</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed11</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed11</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed11</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed11</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 11</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">); </span><span class="hl-6">// 1</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed1</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">1</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed1</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed1</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed1</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 4</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed4</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">4</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed4</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed4</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed4</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 4</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 4</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed10</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed10</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed10</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 10</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 4</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed15</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed15</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed15</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 15</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed5</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">5</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed5</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed5</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 5</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed13</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">13</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed13</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed13</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 13</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed3</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">3</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed3</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed3</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 3</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed8</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">8</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed8</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed8</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 8</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed6</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed6</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed6</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 6</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">).</span><span class="hl-5">length</span><span class="hl-1">; </span><span class="hl-6">// 0</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed7</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">7</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed7</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed7</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 7</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed9</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">9</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed9</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed9</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 9</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed14</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">14</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed14</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed14</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 14</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 2</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// false</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">bfsIDs</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">BFS</span><span class="hl-1">();</span><br/><span class="hl-5">bfsIDs</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">]; </span><span class="hl-6">// 2</span><br/><span class="hl-5">bfsIDs</span><span class="hl-1">[</span><span class="hl-9">1</span><span class="hl-1">]; </span><span class="hl-6">// 12</span><br/><span class="hl-5">bfsIDs</span><span class="hl-1">[</span><span class="hl-9">2</span><span class="hl-1">]; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">bfsNodes</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">BFS</span><span class="hl-1">(</span><span class="hl-2">'node'</span><span class="hl-1">);</span><br/><span class="hl-5">bfsNodes</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 2</span><br/><span class="hl-5">bfsNodes</span><span class="hl-1">[</span><span class="hl-9">1</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 12</span><br/><span class="hl-5">bfsNodes</span><span class="hl-1">[</span><span class="hl-9">2</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 16</span>
</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-3">const</span><span class="hl-1"> {</span><span class="hl-7">BST</span><span class="hl-1">, </span><span class="hl-7">BSTNode</span><span class="hl-1">} = </span><span class="hl-0">require</span><span class="hl-1">(</span><span class="hl-2">'data-structure-typed'</span><span class="hl-1">);</span><br/><span class="hl-6">// /* or if you prefer */ const {BST, BSTNode} = require('bst-typed');</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">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-5">bst</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BST</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">);</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">add</span><span class="hl-1">(</span><span class="hl-9">3</span><span class="hl-1">);</span><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">idsAndValues</span><span class="hl-1"> = [</span><span class="hl-9">15</span><span class="hl-1">, </span><span class="hl-9">1</span><span class="hl-1">, </span><span class="hl-9">8</span><span class="hl-1">, </span><span class="hl-9">13</span><span class="hl-1">, </span><span class="hl-9">16</span><span class="hl-1">, </span><span class="hl-9">2</span><span class="hl-1">, </span><span class="hl-9">6</span><span class="hl-1">, </span><span class="hl-9">9</span><span class="hl-1">, </span><span class="hl-9">12</span><span class="hl-1">, </span><span class="hl-9">14</span><span class="hl-1">, </span><span class="hl-9">4</span><span class="hl-1">, </span><span class="hl-9">7</span><span class="hl-1">, </span><span class="hl-9">10</span><span class="hl-1">, </span><span class="hl-9">5</span><span class="hl-1">];</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">addMany</span><span class="hl-1">(</span><span class="hl-5">idsAndValues</span><span class="hl-1">);</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1">) </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">root</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 11</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-5">size</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">has</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node6</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">);</span><br/><span class="hl-5">node6</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// 2</span><br/><span class="hl-5">node6</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getDepth</span><span class="hl-1">(</span><span class="hl-9">6</span><span class="hl-1">); </span><span class="hl-6">// 3</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">nodeId10</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">);</span><br/><span class="hl-5">nodeId10</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 10</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">nodeVal9</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">9</span><span class="hl-1">, </span><span class="hl-2">'val'</span><span class="hl-1">);</span><br/><span class="hl-5">nodeVal9</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 9</span><br/><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">leftMost</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getLeftMost</span><span class="hl-1">();</span><br/><span class="hl-5">leftMost</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node15</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">);</span><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">minNodeBySpecificNode</span><span class="hl-1"> = </span><span class="hl-5">node15</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getLeftMost</span><span class="hl-1">(</span><span class="hl-5">node15</span><span class="hl-1">);</span><br/><span class="hl-5">minNodeBySpecificNode</span><span class="hl-1">?.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 12</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">subTreeSum</span><span class="hl-1"> = </span><span class="hl-5">node15</span><span class="hl-1"> && </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">subTreeSum</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">);</span><br/><span class="hl-5">subTreeSum</span><span class="hl-1">; </span><span class="hl-6">// 70</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">lesserSum</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">lesserSum</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">);</span><br/><span class="hl-5">lesserSum</span><span class="hl-1">; </span><span class="hl-6">// 45</span><br/><br/><span class="hl-5">node15</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">node11</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">get</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">);</span><br/><span class="hl-5">node11</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">BSTNode</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">dfsInorderNodes</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">DFS</span><span class="hl-1">(</span><span class="hl-2">'in'</span><span class="hl-1">, </span><span class="hl-2">'node'</span><span class="hl-1">);</span><br/><span class="hl-5">dfsInorderNodes</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><span class="hl-5">dfsInorderNodes</span><span class="hl-1">[</span><span class="hl-5">dfsInorderNodes</span><span class="hl-1">.</span><span class="hl-5">length</span><span class="hl-1"> - </span><span class="hl-9">1</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">perfectlyBalance</span><span class="hl-1">();</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isPerfectlyBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">bfsNodesAfterBalanced</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">BFS</span><span class="hl-1">(</span><span class="hl-2">'node'</span><span class="hl-1">);</span><br/><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 8);</span><br/><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">[</span><span class="hl-5">bfsNodesAfterBalanced</span><span class="hl-1">.</span><span class="hl-5">length</span><span class="hl-1"> - </span><span class="hl-9">1</span><span class="hl-1">].</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 16</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed11</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">11</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed11</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed11</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed11</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 11</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(</span><span class="hl-9">15</span><span class="hl-1">); </span><span class="hl-6">// 1</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed1</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">1</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed1</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed1</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed1</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 1</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 4</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed4</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">4</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><span class="hl-5">removed4</span><span class="hl-1"> </span><span class="hl-3">instanceof</span><span class="hl-1"> </span><span class="hl-8">Array</span><span class="hl-1">; </span><span class="hl-6">// true</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed4</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed4</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">.</span><span class="hl-5">id</span><span class="hl-1">; </span><span class="hl-6">// 4</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">isAVLBalanced</span><span class="hl-1">(); </span><span class="hl-6">// true</span><br/><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">getHeight</span><span class="hl-1">(); </span><span class="hl-6">// 4</span><br/><br/><span class="hl-3">const</span><span class="hl-1"> </span><span class="hl-7">removed10</span><span class="hl-1"> = </span><span class="hl-5">bst</span><span class="hl-1">.</span><span class="hl-0">remove</span><span class="hl-1">(</span><span class="hl-9">10</span><span class="hl-1">, </span><span class="hl-3">true</span><span class="hl-1">);</span><br/><br/><span class="hl-4">if</span><span class="hl-1"> (</span><span class="hl-5">removed10</span><span class="hl-1">[</span><span class="hl-9">0</span><span class="hl-1">].</span><span class="hl-5">deleted</span><span class="hl-1">) </span><span class="hl-5">removed10</span><span