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      <h1 class="title">std/heapqueue</h1>
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    <ul class="simple simple-toc" id="toc-list">
  <li><a class="reference" id="basic-usage_toc" href="#basic-usage">Basic usage</a></li>
<li><a class="reference" id="usage-with-custom-objects_toc" href="#usage-with-custom-objects">Usage with custom objects</a></li>
<li>
  <a class="reference reference-toplevel" href="#6" id="56">Imports</a>
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  <details open>
    <summary><a class="reference reference-toplevel" href="#7" id="57">Types</a></summary>
    <ul class="simple simple-toc-section">
      <li><a class="reference" href="#HeapQueue" title="HeapQueue[T] = object">HeapQueue</a></li>

    </ul>
  </details>
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<li>
  <details open>
    <summary><a class="reference reference-toplevel" href="#12" id="62">Procs</a></summary>
    <ul class="simple simple-toc-section">
      <ul class="simple nested-toc-section">$
  <li><a class="reference" href="#%24%2CHeapQueue%5BT%5D" title="`$`[T](heap: HeapQueue[T]): string">`$`[T](heap: HeapQueue[T]): string</a></li>

</ul>
<ul class="simple nested-toc-section">[]
  <li><a class="reference" href="#%5B%5D%2CHeapQueue%5BT%5D%2CNatural" title="`[]`[T](heap: HeapQueue[T]; i: Natural): lent T">`[]`[T](heap: HeapQueue[T]; i: Natural): lent T</a></li>

</ul>
<ul class="simple nested-toc-section">clear
  <li><a class="reference" href="#clear%2CHeapQueue%5BT%5D" title="clear[T](heap: var HeapQueue[T])">clear[T](heap: var HeapQueue[T])</a></li>

</ul>
<ul class="simple nested-toc-section">contains
  <li><a class="reference" href="#contains%2CHeapQueue%5BT%5D%2CT" title="contains[T](heap: HeapQueue[T]; x: T): bool">contains[T](heap: HeapQueue[T]; x: T): bool</a></li>

</ul>
<ul class="simple nested-toc-section">del
  <li><a class="reference" href="#del%2CHeapQueue%5BT%5D%2CNatural" title="del[T](heap: var HeapQueue[T]; index: Natural)">del[T](heap: var HeapQueue[T]; index: Natural)</a></li>

</ul>
<ul class="simple nested-toc-section">find
  <li><a class="reference" href="#find%2CHeapQueue%5BT%5D%2CT" title="find[T](heap: HeapQueue[T]; x: T): int">find[T](heap: HeapQueue[T]; x: T): int</a></li>

</ul>
<ul class="simple nested-toc-section">initHeapQueue
  <li><a class="reference" href="#initHeapQueue" title="initHeapQueue[T](): HeapQueue[T]">initHeapQueue[T](): HeapQueue[T]</a></li>

</ul>
<ul class="simple nested-toc-section">len
  <li><a class="reference" href="#len%2CHeapQueue%5BT%5D" title="len[T](heap: HeapQueue[T]): int">len[T](heap: HeapQueue[T]): int</a></li>

</ul>
<ul class="simple nested-toc-section">pop
  <li><a class="reference" href="#pop%2CHeapQueue%5BT%5D" title="pop[T](heap: var HeapQueue[T]): T">pop[T](heap: var HeapQueue[T]): T</a></li>

</ul>
<ul class="simple nested-toc-section">push
  <li><a class="reference" href="#push%2CHeapQueue%5BT%5D%2CsinkT" title="push[T](heap: var HeapQueue[T]; item: sink T)">push[T](heap: var HeapQueue[T]; item: sink T)</a></li>

</ul>
<ul class="simple nested-toc-section">pushpop
  <li><a class="reference" href="#pushpop%2CHeapQueue%5BT%5D%2CsinkT" title="pushpop[T](heap: var HeapQueue[T]; item: sink T): T">pushpop[T](heap: var HeapQueue[T]; item: sink T): T</a></li>

</ul>
<ul class="simple nested-toc-section">replace
  <li><a class="reference" href="#replace%2CHeapQueue%5BT%5D%2CsinkT" title="replace[T](heap: var HeapQueue[T]; item: sink T): T">replace[T](heap: var HeapQueue[T]; item: sink T): T</a></li>

</ul>
<ul class="simple nested-toc-section">toHeapQueue
  <li><a class="reference" href="#toHeapQueue%2CopenArray%5BT%5D" title="toHeapQueue[T](x: openArray[T]): HeapQueue[T]">toHeapQueue[T](x: openArray[T]): HeapQueue[T]</a></li>

</ul>

    </ul>
  </details>
</li>
<li>
  <details open>
    <summary><a class="reference reference-toplevel" href="#15" id="65">Iterators</a></summary>
    <ul class="simple simple-toc-section">
      <ul class="simple nested-toc-section">items
  <li><a class="reference" href="#items.i%2CHeapQueue%5BT%5D" title="items[T](heap: HeapQueue[T]): lent T">items[T](heap: HeapQueue[T]): lent T</a></li>

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  <div class="nine columns" id="content">
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L1" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L1" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

    <div id="tocRoot"></div>
    
    <p class="module-desc">The <tt class="docutils literal"><span class="pre"><span class="Identifier">heapqueue</span></span></tt> module implements a <a class="reference external" href="https://en.wikipedia.org/wiki/Binary_heap">binary heap data structure</a> that can be used as a <a class="reference external" href="https://en.wikipedia.org/wiki/Priority_queue">priority queue</a>. They are represented as arrays for which <tt class="docutils literal"><span class="pre"><span class="Identifier">a</span><span class="Punctuation">[</span><span class="Identifier">k</span><span class="Punctuation">]</span> <span class="Operator">&lt;=</span> <span class="Identifier">a</span><span class="Punctuation">[</span><span class="DecNumber">2</span><span class="Operator">*</span><span class="Identifier">k</span><span class="Operator">+</span><span class="DecNumber">1</span><span class="Punctuation">]</span></span></tt> and <tt class="docutils literal"><span class="pre"><span class="Identifier">a</span><span class="Punctuation">[</span><span class="Identifier">k</span><span class="Punctuation">]</span> <span class="Operator">&lt;=</span> <span class="Identifier">a</span><span class="Punctuation">[</span><span class="DecNumber">2</span><span class="Operator">*</span><span class="Identifier">k</span><span class="Operator">+</span><span class="DecNumber">2</span><span class="Punctuation">]</span></span></tt> for all indices <tt class="docutils literal"><span class="pre"><span class="Identifier">k</span></span></tt> (counting elements from 0). The interesting property of a heap is that <tt class="docutils literal"><span class="pre"><span class="Identifier">a</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span></span></tt> is always its smallest element.
<h1><a class="toc-backref" id="basic-usage" href="#basic-usage">Basic usage</a></h1>
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">import</span> <span class="Identifier">std</span><span class="Operator">/</span><span class="Identifier">heapqueue</span>
<span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">8</span><span class="Punctuation">,</span> <span class="DecNumber">2</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">push</span><span class="Punctuation">(</span><span class="DecNumber">5</span><span class="Punctuation">)</span>
<span class="Comment"># the first element is the lowest element</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">2</span>
<span class="Comment"># remove and return the lowest element</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">pop</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">2</span>
<span class="Comment"># the lowest element remaining is 5</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">5</span></pre>
<h1><a class="toc-backref" id="usage-with-custom-objects" href="#usage-with-custom-objects">Usage with custom objects</a></h1><p>To use a <tt class="docutils literal"><span class="pre"><span class="Identifier">HeapQueue</span></span></tt> with a custom object, the <tt class="docutils literal"><span class="pre"><span class="Operator">&lt;</span></span></tt> operator must be implemented.</p>

<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">import</span> <span class="Identifier">std</span><span class="Operator">/</span><span class="Identifier">heapqueue</span>
<span class="Keyword">type</span> <span class="Identifier">Job</span> <span class="Operator">=</span> <span class="Keyword">object</span>
  <span class="Identifier">priority</span><span class="Punctuation">:</span> <span class="Identifier">int</span>

<span class="Keyword">proc</span> <span class="Punctuation">`</span><span class="Operator">&lt;</span><span class="Punctuation">`</span><span class="Punctuation">(</span><span class="Identifier">a</span><span class="Punctuation">,</span> <span class="Identifier">b</span><span class="Punctuation">:</span> <span class="Identifier">Job</span><span class="Punctuation">)</span><span class="Punctuation">:</span> <span class="Identifier">bool</span> <span class="Operator">=</span> <span class="Identifier">a</span><span class="Operator">.</span><span class="Identifier">priority</span> <span class="Operator">&lt;</span> <span class="Identifier">b</span><span class="Operator">.</span><span class="Identifier">priority</span>

<span class="Keyword">var</span> <span class="Identifier">jobs</span> <span class="Operator">=</span> <span class="Identifier">initHeapQueue</span><span class="Punctuation">[</span><span class="Identifier">Job</span><span class="Punctuation">]</span><span class="Punctuation">(</span><span class="Punctuation">)</span>
<span class="Identifier">jobs</span><span class="Operator">.</span><span class="Identifier">push</span><span class="Punctuation">(</span><span class="Identifier">Job</span><span class="Punctuation">(</span><span class="Identifier">priority</span><span class="Punctuation">:</span> <span class="DecNumber">1</span><span class="Punctuation">)</span><span class="Punctuation">)</span>
<span class="Identifier">jobs</span><span class="Operator">.</span><span class="Identifier">push</span><span class="Punctuation">(</span><span class="Identifier">Job</span><span class="Punctuation">(</span><span class="Identifier">priority</span><span class="Punctuation">:</span> <span class="DecNumber">2</span><span class="Punctuation">)</span><span class="Punctuation">)</span>

<span class="Identifier">assert</span> <span class="Identifier">jobs</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">priority</span> <span class="Operator">==</span> <span class="DecNumber">1</span></pre></p>
    <div class="section" id="6">
  <h1><a class="toc-backref" href="#6">Imports</a></h1>
  <dl class="item">
    <a class="reference external" href="since.html">since</a>, <a class="reference external" href="assertions.html">assertions</a>
  </dl>
</div>
<div class="section" id="7">
  <h1><a class="toc-backref" href="#7">Types</a></h1>
  <dl class="item">
    <div id="HeapQueue">
  <dt><pre><a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span> <span class="Other">=</span> <span class="Keyword">object</span></pre></dt>
  <dd>
    
    A heap queue, commonly known as a priority queue.
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L53" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L53" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

  </dl>
</div>
<div class="section" id="12">
  <h1><a class="toc-backref" href="#12">Procs</a></h1>
  <dl class="item">
    <div id="$-procs-all">
  <div id="$,HeapQueue[T]">
  <dt><pre><span class="Keyword">proc</span> <a href="#%24%2CHeapQueue%5BT%5D"><span class="Identifier">`$`</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#string"><span class="Identifier">string</span></a></pre></dt>
  <dd>
    
    Turns a heap into its string representation.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">let</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">1</span><span class="Punctuation">,</span> <span class="DecNumber">2</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Operator">$</span><span class="Identifier">heap</span> <span class="Operator">==</span> <span class="StringLit">&quot;[1, 2]&quot;</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L256" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L256" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="[]-procs-all">
  <div id="[],HeapQueue[T],Natural">
  <dt><pre><span class="Keyword">proc</span> <a href="#%5B%5D%2CHeapQueue%5BT%5D%2CNatural"><span class="Identifier">`[]`</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">i</span><span class="Other">:</span> <a href="system.html#Natural"><span class="Identifier">Natural</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#lent"><span class="Identifier">lent</span></a> <span class="Identifier">T</span> {.<span class="Identifier">inline</span>.}</pre></dt>
  <dd>
    
    Accesses the i-th element of <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>.
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L75" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L75" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="clear-procs-all">
  <div id="clear,HeapQueue[T]">
  <dt><pre><span class="Keyword">proc</span> <a href="#clear%2CHeapQueue%5BT%5D"><span class="Identifier">clear</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span></pre></dt>
  <dd>
    
    Removes all elements from <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>, making it empty.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">clear</span><span class="Punctuation">(</span><span class="Punctuation">)</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">len</span> <span class="Operator">==</span> <span class="DecNumber">0</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L247" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L247" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="contains-procs-all">
  <div id="contains,HeapQueue[T],T">
  <dt><pre><span class="Keyword">proc</span> <a href="#contains%2CHeapQueue%5BT%5D%2CT"><span class="Identifier">contains</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">:</span> <span class="Identifier">T</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#bool"><span class="Identifier">bool</span></a></pre></dt>
  <dd>
    
    Returns true if <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> is in <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt> or false if not found. This is a shortcut for <tt class="docutils literal"><span class="pre"><span class="Identifier">find</span><span class="Punctuation">(</span><span class="Identifier">heap</span><span class="Punctuation">,</span> <span class="Identifier">x</span><span class="Punctuation">)</span> <span class="Operator">&gt;=</span> <span class="DecNumber">0</span></span></tt>.
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L191" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L191" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="del-procs-all">
  <div id="del,HeapQueue[T],Natural">
  <dt><pre><span class="Keyword">proc</span> <a href="#del%2CHeapQueue%5BT%5D%2CNatural"><span class="Identifier">del</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">index</span><span class="Other">:</span> <a href="system.html#Natural"><span class="Identifier">Natural</span></a><span class="Other">)</span></pre></dt>
  <dd>
    
    Removes the element at <tt class="docutils literal"><span class="pre"><span class="Identifier">index</span></span></tt> from <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>, maintaining the heap invariant.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">del</span><span class="Punctuation">(</span><span class="DecNumber">1</span><span class="Punctuation">)</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">5</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">1</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">8</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L196" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L196" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="find-procs-all">
  <div id="find,HeapQueue[T],T">
  <dt><pre><span class="Keyword">proc</span> <a href="#find%2CHeapQueue%5BT%5D%2CT"><span class="Identifier">find</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">:</span> <span class="Identifier">T</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a></pre></dt>
  <dd>
    
    Linear scan to find the index of the item <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> or -1 if not found.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">let</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">find</span><span class="Punctuation">(</span><span class="DecNumber">5</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">0</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">find</span><span class="Punctuation">(</span><span class="DecNumber">9</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">1</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">find</span><span class="Punctuation">(</span><span class="DecNumber">777</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="Operator">-</span><span class="DecNumber">1</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L179" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L179" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="initHeapQueue-procs-all">
  <div id="initHeapQueue">
  <dt><pre><span class="Keyword">proc</span> <a href="#initHeapQueue"><span class="Identifier">initHeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Other">)</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span></pre></dt>
  <dd>
    
    <p>Creates a new empty heap.</p>
<p>Heaps are initialized by default, so it is not necessary to call this function explicitly.</p>
<p><strong>See also:</strong></p>
<ul class="simple"><li><a class="reference external" href="#toHeapQueue,openArray[T]">toHeapQueue proc</a></li>
</ul>

    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L57" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L57" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="len-procs-all">
  <div id="len,HeapQueue[T]">
  <dt><pre><span class="Keyword">proc</span> <a href="#len%2CHeapQueue%5BT%5D"><span class="Identifier">len</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a> {.<span class="Identifier">inline</span>.}</pre></dt>
  <dd>
    
    Returns the number of elements of <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">let</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">len</span> <span class="Operator">==</span> <span class="DecNumber">3</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L67" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L67" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="pop-procs-all">
  <div id="pop,HeapQueue[T]">
  <dt><pre><span class="Keyword">proc</span> <a href="#pop%2CHeapQueue%5BT%5D"><span class="Identifier">pop</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <span class="Identifier">T</span></pre></dt>
  <dd>
    
    Pops and returns the smallest item from <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>, maintaining the heap invariant.
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">pop</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">5</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L164" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L164" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="push-procs-all">
  <div id="push,HeapQueue[T],sinkT">
  <dt><pre><span class="Keyword">proc</span> <a href="#push%2CHeapQueue%5BT%5D%2CsinkT"><span class="Identifier">push</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">item</span><span class="Other">:</span> <a href="system.html#sink"><span class="Identifier">sink</span></a> <span class="Identifier">T</span><span class="Other">)</span></pre></dt>
  <dd>
    
    Pushes <tt class="docutils literal"><span class="pre"><span class="Identifier">item</span></span></tt> onto <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>, maintaining the heap invariant.
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L144" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L144" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="pushpop-procs-all">
  <div id="pushpop,HeapQueue[T],sinkT">
  <dt><pre><span class="Keyword">proc</span> <a href="#pushpop%2CHeapQueue%5BT%5D%2CsinkT"><span class="Identifier">pushpop</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">item</span><span class="Other">:</span> <a href="system.html#sink"><span class="Identifier">sink</span></a> <span class="Identifier">T</span><span class="Other">)</span><span class="Other">:</span> <span class="Identifier">T</span></pre></dt>
  <dd>
    
    <p>Fast version of a <tt class="docutils literal"><span class="pre"><span class="Identifier">push</span><span class="Punctuation">(</span><span class="Punctuation">)</span></span></tt> followed by a <tt class="docutils literal"><span class="pre"><span class="Identifier">pop</span><span class="Punctuation">(</span><span class="Punctuation">)</span></span></tt>.</p>
<p><strong>See also:</strong></p>
<ul class="simple"><li><a class="reference external" href="#replace,HeapQueue[T],sinkT">replace proc</a></li>
</ul>

<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">12</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">pushpop</span><span class="Punctuation">(</span><span class="DecNumber">6</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">5</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">len</span> <span class="Operator">==</span> <span class="DecNumber">2</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">6</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">pushpop</span><span class="Punctuation">(</span><span class="DecNumber">4</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">4</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L230" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L230" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="replace-procs-all">
  <div id="replace,HeapQueue[T],sinkT">
  <dt><pre><span class="Keyword">proc</span> <a href="#replace%2CHeapQueue%5BT%5D%2CsinkT"><span class="Identifier">replace</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">;</span> <span class="Identifier">item</span><span class="Other">:</span> <a href="system.html#sink"><span class="Identifier">sink</span></a> <span class="Identifier">T</span><span class="Other">)</span><span class="Other">:</span> <span class="Identifier">T</span></pre></dt>
  <dd>
    
    <p>Pops and returns the current smallest value, and add the new item. This is more efficient than <tt class="docutils literal"><span class="pre"><span class="Identifier">pop</span><span class="Punctuation">(</span><span class="Punctuation">)</span></span></tt> followed by <tt class="docutils literal"><span class="pre"><span class="Identifier">push</span><span class="Punctuation">(</span><span class="Punctuation">)</span></span></tt>, and can be more appropriate when using a fixed-size heap. Note that the value returned may be larger than <tt class="docutils literal"><span class="pre"><span class="Identifier">item</span></span></tt>! That constrains reasonable uses of this routine unless written as part of a conditional replacement.</p>
<p><strong>See also:</strong></p>
<ul class="simple"><li><a class="reference external" href="#pushpop,HeapQueue[T],sinkT">pushpop proc</a></li>
</ul>

<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">12</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">replace</span><span class="Punctuation">(</span><span class="DecNumber">6</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">5</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">len</span> <span class="Operator">==</span> <span class="DecNumber">2</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">6</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">replace</span><span class="Punctuation">(</span><span class="DecNumber">4</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">6</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L210" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L210" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>
<div id="toHeapQueue-procs-all">
  <div id="toHeapQueue,openArray[T]">
  <dt><pre><span class="Keyword">proc</span> <a href="#toHeapQueue%2CopenArray%5BT%5D"><span class="Identifier">toHeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span></pre></dt>
  <dd>
    
    <p>Creates a new HeapQueue that contains the elements of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.</p>
<p><strong>See also:</strong></p>
<ul class="simple"><li><a class="reference external" href="#initHeapQueue">initHeapQueue proc</a></li>
</ul>

<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">var</span> <span class="Identifier">heap</span> <span class="Operator">=</span> <span class="Punctuation">[</span><span class="DecNumber">9</span><span class="Punctuation">,</span> <span class="DecNumber">5</span><span class="Punctuation">,</span> <span class="DecNumber">8</span><span class="Punctuation">]</span><span class="Operator">.</span><span class="Identifier">toHeapQueue</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Operator">.</span><span class="Identifier">pop</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">==</span> <span class="DecNumber">5</span>
<span class="Identifier">assert</span> <span class="Identifier">heap</span><span class="Punctuation">[</span><span class="DecNumber">0</span><span class="Punctuation">]</span> <span class="Operator">==</span> <span class="DecNumber">8</span></pre>
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L149" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L149" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

  </dd>
</div>

</div>

  </dl>
</div>
<div class="section" id="15">
  <h1><a class="toc-backref" href="#15">Iterators</a></h1>
  <dl class="item">
    <div id="items-iterators-all">
  <div id="items.i,HeapQueue[T]">
  <dt><pre><span class="Keyword">iterator</span> <a href="#items.i%2CHeapQueue%5BT%5D"><span class="Identifier">items</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">heap</span><span class="Other">:</span> <a href="heapqueue.html#HeapQueue"><span class="Identifier">HeapQueue</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#lent"><span class="Identifier">lent</span></a> <span class="Identifier">T</span> {.<span class="Identifier">inline</span>.}</pre></dt>
  <dd>
    
    Iterates over each item of <tt class="docutils literal"><span class="pre"><span class="Identifier">heap</span></span></tt>.
    <a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/collections/heapqueue.nim#L79" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/collections/heapqueue.nim#L79" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;

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