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<!DOCTYPE html>
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<html>
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<title>Class AvlTree<T>
| Advanced Algorithms </title>
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| Advanced Algorithms ">
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<article class="content wrap" id="_content" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1">
<h1 id="Advanced_Algorithms_DataStructures_AvlTree_1" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1" class="text-break">Class AvlTree<T>
</h1>
<div class="markdown level0 summary"><p>An AVL tree implementation.</p>
</div>
<div class="markdown level0 conceptual"></div>
<div class="inheritance">
<h5>Inheritance</h5>
<div class="level0"><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">Object</a></div>
<div class="level1"><span class="xref">AvlTree<T></span></div>
</div>
<div class="implements">
<h5>Implements</h5>
<div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a><T></div>
<div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.ienumerable">IEnumerable</a></div>
</div>
<div class="inheritedMembers">
<h5>Inherited Members</h5>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.tostring#system-object-tostring">Object.ToString()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">Object.Equals(Object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">Object.Equals(Object, Object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals#system-object-referenceequals(system-object-system-object)">Object.ReferenceEquals(Object, Object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode#system-object-gethashcode">Object.GetHashCode()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype#system-object-gettype">Object.GetType()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone#system-object-memberwiseclone">Object.MemberwiseClone()</a>
</div>
</div>
<h6><strong>Namespace</strong>: <a class="xref" href="Advanced.Algorithms.DataStructures.html">Advanced.Algorithms.DataStructures</a></h6>
<h6><strong>Assembly</strong>: Advanced.Algorithms.dll</h6>
<h5 id="Advanced_Algorithms_DataStructures_AvlTree_1_syntax">Syntax</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public class AvlTree<T> : IEnumerable<T>, IEnumerable where T : IComparable</code></pre>
</div>
<h5 class="typeParameters">Type Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="parametername">T</span></td>
<td></td>
</tr>
</tbody>
</table>
<h3 id="constructors">Constructors
</h3>
<span class="small pull-right mobile-hide">
<span class="divider">|</span>
<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1__ctor_System_Boolean_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.%23ctor(System.Boolean)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
</span>
<span class="small pull-right mobile-hide">
<a href="https://github.com/justcoding121/advanced-algorithms/blob/develop/src/Advanced.Algorithms/DataStructures/Tree/AvlTree.cs/#L19">View Source</a>
</span>
<a id="Advanced_Algorithms_DataStructures_AvlTree_1__ctor_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.#ctor*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1__ctor_System_Boolean_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.#ctor(System.Boolean)">AvlTree(Boolean)</h4>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public AvlTree(bool enableNodeLookUp = false)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">Boolean</a></td>
<td><span class="parametername">enableNodeLookUp</span></td>
<td><p>Enabling lookup will fasten deletion/insertion/exists operations
at the cost of additional space.</p>
</td>
</tr>
</tbody>
</table>
<span class="small pull-right mobile-hide">
<span class="divider">|</span>
<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1__ctor_System_Collections_Generic_IEnumerable__0__System_Boolean_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.%23ctor(System.Collections.Generic.IEnumerable%7B%600%7D%2CSystem.Boolean)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
</span>
<span class="small pull-right mobile-hide">
<a href="https://github.com/justcoding121/advanced-algorithms/blob/develop/src/Advanced.Algorithms/DataStructures/Tree/AvlTree.cs/#L33">View Source</a>
</span>
<a id="Advanced_Algorithms_DataStructures_AvlTree_1__ctor_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.#ctor*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1__ctor_System_Collections_Generic_IEnumerable__0__System_Boolean_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.#ctor(System.Collections.Generic.IEnumerable{`0},System.Boolean)">AvlTree(IEnumerable<T>, Boolean)</h4>
<div class="markdown level1 summary"><p>Initialize the BST with given sorted keys.
Time complexity: O(n).</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public AvlTree(IEnumerable<T> sortedCollection, bool enableNodeLookUp = false)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a><T></td>
<td><span class="parametername">sortedCollection</span></td>
<td><p>The initial sorted collection.</p>
</td>
</tr>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">Boolean</a></td>
<td><span class="parametername">enableNodeLookUp</span></td>
<td><p>Enabling lookup will fasten deletion/insertion/exists operations
at the cost of additional space.</p>
</td>
</tr>
</tbody>
</table>
<h3 id="properties">Properties
</h3>
<span class="small pull-right mobile-hide">
<span class="divider">|</span>
<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_Count.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.Count%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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</span>
<a id="Advanced_Algorithms_DataStructures_AvlTree_1_Count_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Count*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_Count" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Count">Count</h4>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public int Count { get; }</code></pre>
</div>
<h5 class="propertyValue">Property Value</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">Int32</a></td>
<td></td>
</tr>
</tbody>
</table>
<h3 id="methods">Methods
</h3>
<span class="small pull-right mobile-hide">
<span class="divider">|</span>
<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_AsEnumerableDesc.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.AsEnumerableDesc%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
</span>
<span class="small pull-right mobile-hide">
<a href="https://github.com/justcoding121/advanced-algorithms/blob/develop/src/Advanced.Algorithms/DataStructures/Tree/AvlTree.cs/#L578">View Source</a>
</span>
<a id="Advanced_Algorithms_DataStructures_AvlTree_1_AsEnumerableDesc_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.AsEnumerableDesc*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_AsEnumerableDesc" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.AsEnumerableDesc">AsEnumerableDesc()</h4>
<div class="markdown level1 summary"><p>Descending enumerable.</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public IEnumerable<T> AsEnumerableDesc()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">IEnumerable</a><T></td>
<td></td>
</tr>
</tbody>
</table>
<span class="small pull-right mobile-hide">
<span class="divider">|</span>
<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_Contains__0_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.Contains(%600)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
</span>
<span class="small pull-right mobile-hide">
<a href="https://github.com/justcoding121/advanced-algorithms/blob/develop/src/Advanced.Algorithms/DataStructures/Tree/AvlTree.cs/#L349">View Source</a>
</span>
<a id="Advanced_Algorithms_DataStructures_AvlTree_1_Contains_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Contains*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_Contains__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Contains(`0)">Contains(T)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n)).</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public bool Contains(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">Boolean</a></td>
<td></td>
</tr>
</tbody>
</table>
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<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_Delete__0_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.Delete(%600)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_Delete__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Delete(`0)">Delete(T)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n)).</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void Delete(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
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<a id="Advanced_Algorithms_DataStructures_AvlTree_1_ElementAt_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.ElementAt*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_ElementAt_System_Int32_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.ElementAt(System.Int32)">ElementAt(Int32)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T ElementAt(int index)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">Int32</a></td>
<td><span class="parametername">index</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
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<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_FindMax.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.FindMax%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_FindMax" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.FindMax">FindMax()</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n)).</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T FindMax()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_FindMin" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.FindMin">FindMin()</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n)).</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T FindMin()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
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<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_GetEnumerator.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.GetEnumerator%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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<a id="Advanced_Algorithms_DataStructures_AvlTree_1_GetEnumerator_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.GetEnumerator*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_GetEnumerator" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.GetEnumerator">GetEnumerator()</h4>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public IEnumerator<T> GetEnumerator()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerator-1">IEnumerator</a><T></td>
<td></td>
</tr>
</tbody>
</table>
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<a id="Advanced_Algorithms_DataStructures_AvlTree_1_GetEnumeratorDesc_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.GetEnumeratorDesc*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_GetEnumeratorDesc" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.GetEnumeratorDesc">GetEnumeratorDesc()</h4>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public IEnumerator<T> GetEnumeratorDesc()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerator-1">IEnumerator</a><T></td>
<td></td>
</tr>
</tbody>
</table>
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<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_HasItem__0_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.HasItem(%600)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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<a id="Advanced_Algorithms_DataStructures_AvlTree_1_HasItem_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.HasItem*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_HasItem__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.HasItem(`0)">HasItem(T)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public bool HasItem(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.boolean">Boolean</a></td>
<td></td>
</tr>
</tbody>
</table>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_IndexOf__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.IndexOf(`0)">IndexOf(T)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public int IndexOf(T item)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">item</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">Int32</a></td>
<td></td>
</tr>
</tbody>
</table>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_Insert__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.Insert(`0)">Insert(T)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void Insert(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_NextHigher__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.NextHigher(`0)">NextHigher(T)</h4>
<div class="markdown level1 summary"><p>Get the next higher value to given value in this BST.
Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T NextHigher(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
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<a href="https://github.com/justcoding121/advanced-algorithms/new/develop/apiSpec/new?filename=Advanced_Algorithms_DataStructures_AvlTree_1_NextLower__0_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.AvlTree%601.NextLower(%600)%0Asummary%3A%20'*You%20can%20override%20summary%20for%20the%20API%20here%20using%20*MARKDOWN*%20syntax'%0A---%0A%0A*Please%20type%20below%20more%20information%20about%20this%20API%3A*%0A%0A">Improve this Doc</a>
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_NextLower__0_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.NextLower(`0)">NextLower(T)</h4>
<div class="markdown level1 summary"><p>Get the next lower value to given value in this BST.
Time complexity: O(log(n))</p>
</div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T NextLower(T value)</code></pre>
</div>
<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">value</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
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<a id="Advanced_Algorithms_DataStructures_AvlTree_1_RemoveAt_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.RemoveAt*"></a>
<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_RemoveAt_System_Int32_" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.RemoveAt(System.Int32)">RemoveAt(Int32)</h4>
<div class="markdown level1 summary"><p>Time complexity: O(log(n))</p>
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<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public T RemoveAt(int index)</code></pre>
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<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">Int32</a></td>
<td><span class="parametername">index</span></td>
<td></td>
</tr>
</tbody>
</table>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="xref">T</span></td>
<td></td>
</tr>
</tbody>
</table>
<h3 id="eii">Explicit Interface Implementations
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<h4 id="Advanced_Algorithms_DataStructures_AvlTree_1_System_Collections_IEnumerable_GetEnumerator" data-uid="Advanced.Algorithms.DataStructures.AvlTree`1.System#Collections#IEnumerable#GetEnumerator">IEnumerable.GetEnumerator()</h4>
<div class="markdown level1 summary"></div>
<div class="markdown level1 conceptual"></div>
<h5 class="decalaration">Declaration</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">IEnumerator IEnumerable.GetEnumerator()</code></pre>
</div>
<h5 class="returns">Returns</h5>
<table class="table table-bordered table-striped table-condensed">
<thead>
<tr>
<th>Type</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.ienumerator">IEnumerator</a></td>
<td></td>
</tr>
</tbody>
</table>
<h3 id="implements">Implements</h3>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.generic.ienumerable-1">System.Collections.Generic.IEnumerable<T></a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.ienumerable">System.Collections.IEnumerable</a>
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