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<p>computes and caches Catalan numbers
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Collaboration diagram for catalan_numbers:</div>
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<tr class="memitem:a54655c66cf89186d3d1fa90829b28ab8" id="r_a54655c66cf89186d3d1fa90829b28ab8"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">value_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a54655c66cf89186d3d1fa90829b28ab8">get</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> n)</td></tr>
<tr class="memdesc:a54655c66cf89186d3d1fa90829b28ab8"><td class="mdescLeft">&#160;</td><td class="mdescRight">computes the n-th Catalan number and updates the cache. <br /></td></tr>
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using&#160;</td><td class="memItemRight" valign="bottom"><b>value_type</b> = <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint64_t</a></td></tr>
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Private Member Functions</h2></td></tr>
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<tr class="memitem:abf882dee674593be3df61a36443b5632" id="r_abf882dee674593be3df61a36443b5632"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abf882dee674593be3df61a36443b5632">add</a> ()</td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:ad37c6891d102bb758d3d3d85fb7f1798" id="r_ad37c6891d102bb758d3d3d85fb7f1798"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">value_type</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ad37c6891d102bb758d3d3d85fb7f1798">known</a> {1, 1}</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>computes and caches Catalan numbers </p>
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint64_t</a> for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> for std::transform_reduce for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
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<a id="abf882dee674593be3df61a36443b5632" name="abf882dee674593be3df61a36443b5632"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abf882dee674593be3df61a36443b5632">&#9670;&#160;</a></span>add()</h2>
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<td class="memname">void catalan_numbers::add </td>
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<div class="fragment"><div class="line"><span class="lineno"> 31</span>{ known.push_back(this-&gt;compute_next()); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a141beca0f50fbb4cd5ca8d53819bc43d">&#9670;&#160;</a></span>compute_next()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">value_type</a> catalan_numbers::compute_next </td>
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<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">return</span> std::transform_reduce(known.begin(), known.end(), known.rbegin(),</div>
<div class="line"><span class="lineno"> 27</span> <span class="keyword">static_cast&lt;</span>value_type<span class="keyword">&gt;</span>(), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/plus.html">std::plus&lt;&gt;</a>(),</div>
<div class="line"><span class="lineno"> 28</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/functional/multiplies.html">std::multiplies&lt;&gt;</a>());</div>
<div class="line"><span class="lineno"> 29</span> }</div>
<div class="ttc" id="amultiplies_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/functional/multiplies.html">std::multiplies</a></div></div>
<div class="ttc" id="aplus_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/functional/plus.html">std::plus</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a54655c66cf89186d3d1fa90829b28ab8">&#9670;&#160;</a></span>get()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">value_type</a> catalan_numbers::get </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a></td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<p>computes the n-th Catalan number and updates the cache. </p>
<dl class="section return"><dt>Returns</dt><dd>the n-th Catalan number </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">while</span> (known.size() &lt;= n) {</div>
<div class="line"><span class="lineno"> 40</span> this-&gt;add();</div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span> known[n];</div>
<div class="line"><span class="lineno"> 43</span> }</div>
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<h2 class="groupheader">Member Data Documentation</h2>
<a id="ad37c6891d102bb758d3d3d85fb7f1798" name="ad37c6891d102bb758d3d3d85fb7f1798"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ad37c6891d102bb758d3d3d85fb7f1798">&#9670;&#160;</a></span>known</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">value_type</a>&gt; catalan_numbers::known {1, 1}</td>
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<div class="fragment"><div class="line"><span class="lineno"> 23</span>{1, 1};</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>dynamic_programming/<a class="el" href="../../de/dd9/catalan__numbers_8cpp.html">catalan_numbers.cpp</a></li>
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