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<!DOCTYPE html>
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<title>Class BinomialHeap<T>
| Advanced Algorithms </title>
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<meta name="title" content="Class BinomialHeap<T>
| Advanced Algorithms ">
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<article class="content wrap" id="_content" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1">
<h1 id="Advanced_Algorithms_DataStructures_BinomialHeap_1" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1" class="text-break">Class BinomialHeap<T>
</h1>
<div class="markdown level0 summary"><p>A binomial minMax heap 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">BinomialHeap<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_BinomialHeap_1_syntax">Syntax</h5>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public class BinomialHeap<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_BinomialHeap_1__ctor_Advanced_Algorithms_SortDirection_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%601.%23ctor(Advanced.Algorithms.SortDirection)%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_BinomialHeap_1__ctor_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.#ctor*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1__ctor_Advanced_Algorithms_SortDirection_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.#ctor(Advanced.Algorithms.SortDirection)">BinomialHeap(SortDirection)</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 BinomialHeap(SortDirection sortDirection = SortDirection.Ascending)</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="Advanced.Algorithms.SortDirection.html">SortDirection</a></td>
<td><span class="parametername">sortDirection</span></td>
<td></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_BinomialHeap_1_Count.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%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_BinomialHeap_1_Count_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Count*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_Count" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`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_BinomialHeap_1_Extract.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%601.Extract%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_BinomialHeap_1_Extract_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Extract*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_Extract" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Extract">Extract()</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 Extract()</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>
<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_BinomialHeap_1_GetEnumerator.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%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_BinomialHeap_1_GetEnumerator_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.GetEnumerator*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_GetEnumerator" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`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>
<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_BinomialHeap_1_Insert__0_.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%601.Insert(%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_BinomialHeap_1_Insert_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Insert*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_Insert__0_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`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 newItem)</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">newItem</span></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_BinomialHeap_1_Merge_Advanced_Algorithms_DataStructures_BinomialHeap__0__.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%601.Merge(Advanced.Algorithms.DataStructures.BinomialHeap%7B%600%7D)%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_BinomialHeap_1_Merge_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Merge*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_Merge_Advanced_Algorithms_DataStructures_BinomialHeap__0__" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Merge(Advanced.Algorithms.DataStructures.BinomialHeap{`0})">Merge(BinomialHeap<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 Merge(BinomialHeap<T> binomialHeap)</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="Advanced.Algorithms.DataStructures.BinomialHeap-1.html">BinomialHeap</a><T></td>
<td><span class="parametername">binomialHeap</span></td>
<td><p>The heap to union with.</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_BinomialHeap_1_Peek.md&value=---%0Auid%3A%20Advanced.Algorithms.DataStructures.BinomialHeap%601.Peek%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_BinomialHeap_1_Peek_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Peek*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_Peek" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.Peek">Peek()</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 Peek()</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>
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<a id="Advanced_Algorithms_DataStructures_BinomialHeap_1_UpdateKey_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.UpdateKey*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_UpdateKey__0__0_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.UpdateKey(`0,`0)">UpdateKey(T, T)</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 void UpdateKey(T currentValue, T newValue)</code></pre>
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<h5 class="parameters">Parameters</h5>
<table class="table table-bordered table-striped table-condensed">
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<tr>
<th>Type</th>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
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<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">currentValue</span></td>
<td><p>The value to update.</p>
</td>
</tr>
<tr>
<td><span class="xref">T</span></td>
<td><span class="parametername">newValue</span></td>
<td><p>The updated new value.</p>
</td>
</tr>
</tbody>
</table>
<h3 id="eii">Explicit Interface Implementations
</h3>
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<a id="Advanced_Algorithms_DataStructures_BinomialHeap_1_System_Collections_IEnumerable_GetEnumerator_" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.System#Collections#IEnumerable#GetEnumerator*"></a>
<h4 id="Advanced_Algorithms_DataStructures_BinomialHeap_1_System_Collections_IEnumerable_GetEnumerator" data-uid="Advanced.Algorithms.DataStructures.BinomialHeap`1.System#Collections#IEnumerable#GetEnumerator">IEnumerable.GetEnumerator()</h4>
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<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>
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<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>
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<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.collections.ienumerable">System.Collections.IEnumerable</a>
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