Documentation for 9eca384c79

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<div class="ttc" id="areverse_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse</a></div><div class="ttdeci">T reverse(T... args)</div></div>
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<div class="ttc" id="aback_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/back.html">std::vector::back</a></div><div class="ttdeci">T back(T... args)</div></div>
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<div class="ttc" id="aclassmachine__learning_1_1adaline_html_ab11242d9ad5b03a75911e29b04f78fd3"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html#ab11242d9ad5b03a75911e29b04f78fd3">machine_learning::adaline::predict</a></div><div class="ttdeci">int predict(const std::vector&lt; double &gt; &amp;x, double *out=nullptr)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:95</div></div>
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<div class="ttc" id="anamespacemachine__learning_html"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html">machine_learning</a></div><div class="ttdoc">Machine learning algorithms.</div></div>
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<div class="ttc" id="aclass_complex_html_a8d5427f6c42c15283031d73e1418c59d"><div class="ttname"><a href="../../da/d5a/class_complex.html#a8d5427f6c42c15283031d73e1418c59d">Complex::operator~</a></div><div class="ttdeci">Complex operator~() const</div><div class="ttdoc">Operator overload of '~' on Complex class. Operator overload of the BITWISE NOT which gives us the co...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:130</div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a></div><div class="ttdeci">static void test2()</div><div class="ttdef"><b>Definition:</b> hamiltons_cycle.cpp:103</div></div>
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<div class="ttc" id="aerase_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/set/erase.html">std::set::erase</a></div><div class="ttdeci">T erase(T... args)</div></div>
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<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="areal_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">std::complex::real</a></div><div class="ttdeci">T real(T... args)</div></div>
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<div class="ttc" id="aruntime_error_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/runtime_error.html">std::runtime_error</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_a235843bdf82d2a6cc8596ae8fd3b8df9"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#a235843bdf82d2a6cc8596ae8fd3b8df9">print</a></div><div class="ttdeci">void print(uint32_t N, const std::vector&lt; bool &gt; &amp;is_prime)</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:44</div></div>
<div class="ttc" id="ahamiltons__cycle_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> hamiltons_cycle.cpp:142</div></div>
<div class="ttc" id="aclass_graph_html_a8c95e00effaea0cd9404dd74cd802ae3"><div class="ttname"><a href="../../da/d9a/class_graph.html#a8c95e00effaea0cd9404dd74cd802ae3">Graph::Graph</a></div><div class="ttdeci">Graph(unsigned int vertices, AdjList &amp;&amp;adjList)</div><div class="ttdef"><b>Definition:</b> cycle_check_directed_graph.cpp:76</div></div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_ac656a51b4c3bd7d63b7dcc75dc3e5576"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a></div><div class="ttdeci">int sum_of_divisor(int num)</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:21</div></div>
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<div class="ttc" id="ahamiltons__cycle_8cpp_html_a0ceb473236b5dc53a85e281ef528dd96"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a></div><div class="ttdeci">bool hamilton_cycle(const std::vector&lt; std::vector&lt; bool &gt;&gt; &amp;routes)</div><div class="ttdef"><b>Definition:</b> hamiltons_cycle.cpp:30</div></div>
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<div class="ttc" id="aclass_complex_html_af8aacf982e2e6c142921bc850f6dc974"><div class="ttname"><a href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">Complex::imag</a></div><div class="ttdeci">double imag() const</div><div class="ttdoc">Member function to get imaginary value of our complex number. Member function (getter) to access the ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:70</div></div>
<div class="ttc" id="around_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/round.html">std::round</a></div><div class="ttdeci">T round(T... args)</div></div>
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<div class="ttc" id="aclassmachine__learning_1_1adaline_html"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html">machine_learning::adaline</a></div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:46</div></div>
<div class="ttc" id="aeulers__totient__function_8cpp_html_a0ddf1224851353fc92bfbff6f499fa97"><div class="ttname"><a href="../../da/d23/eulers__totient__function_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a></div><div class="ttdeci">int main(int argc, char *argv[])</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> eulers_totient_function.cpp:48</div></div>
<div class="ttc" id="ahamiltons__cycle_8cpp_html_a0cc94918b6831f308d4fe4fa27f08299"><div class="ttname"><a href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a></div><div class="ttdeci">static void test3()</div><div class="ttdef"><b>Definition:</b> hamiltons_cycle.cpp:122</div></div>
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<div class="ttc" id="ais_open_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream/is_open.html">std::ofstream::is_open</a></div><div class="ttdeci">T is_open(T... args)</div></div>

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@@ -189,6 +189,7 @@ Graph</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/dfs.cpp">Dfs</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/dfs_with_stack.cpp">Dfs With Stack</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/dijkstra.cpp">Dijkstra</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/hamiltons_cycle.cpp">Hamiltons Cycle</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/kosaraju.cpp">Kosaraju</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/kruskal.cpp">Kruskal</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/lca.cpp">Lca</a></li>

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<p>The implementation of <a href="https://en.wikipedia.org/wiki/Hamiltonian_path">Hamilton's cycle</a> dynamic solution for vertices number less than 20.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a0ceb473236b5dc53a85e281ef528dd96"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a> (const <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/container/vector.html">std::vector</a>&lt; bool &gt;&gt; &amp;routes)</td></tr>
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<tr class="memitem:ae7880ce913f3058a35ff106d5be9e243"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a> ()</td></tr>
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<tr class="memitem:a45d94ead4cf4e1ff9f87c38bc99f59ae"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a> ()</td></tr>
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<tr class="memitem:a0cc94918b6831f308d4fe4fa27f08299"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a> ()</td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The implementation of <a href="https://en.wikipedia.org/wiki/Hamiltonian_path">Hamilton's cycle</a> dynamic solution for vertices number less than 20. </p>
<p>I use \(2^n\times n\) matrix and for every \([i, j]\) ( \(i &lt; 2^n\) and \(j &lt; n\)) in the matrix I store <code>true</code> if it is possible to get to all vertices on which position in <code>i</code>'s binary representation is <code>1</code> so as \(j\) would be the last one.</p>
<p>In the the end if any cell in \((2^n - 1)^{\mbox{th}}\) row is <code>true</code> there exists hamiltonian cycle.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/vakhokoto">vakhokoto</a> </dd>
<dd>
<a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0ceb473236b5dc53a85e281ef528dd96"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0ceb473236b5dc53a85e281ef528dd96">&#9670;&nbsp;</a></span>hamilton_cycle()</h2>
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<td class="memname">bool hamilton_cycle </td>
<td>(</td>
<td class="paramtype">const <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/container/vector.html">std::vector</a>&lt; bool &gt;&gt; &amp;&#160;</td>
<td class="paramname"><em>routes</em></td><td>)</td>
<td></td>
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<p>The function determines if there is a hamilton's cycle in the graph</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">routes</td><td>nxn boolean matrix of \([i, j]\) where \([i, j]\) is <code>true</code> if there is a road from \(i\) to \(j\) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if there is Hamiltonian cycle in the graph </dd>
<dd>
<code>false</code> if there is no Hamiltonian cycle in the graph </dd></dl>
<div class="fragment"><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; {</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keyword">const</span> <span class="keywordtype">size_t</span> n = routes.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <span class="comment">// height of dp array which is 2^n</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> = 1 &lt;&lt; n;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;bool&gt;</a>&gt; dp(<a class="code" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(n, <span class="keyword">false</span>));</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="comment">// to fill in the [2^i, i] cells with true</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; dp[1 &lt;&lt; i][i] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i &lt; <a class="code" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>; i++) {</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;size_t&gt;</a> zeros, ones;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="comment">// finding positions with 1s and 0s and separate them</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> pos = 0; pos &lt; n; ++pos) {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">if</span> ((1 &lt;&lt; pos) &amp; i) {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; ones.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(pos);</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; zeros.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(pos);</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;o : ones) {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keywordflow">if</span> (!dp[i][o]) {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">for</span> (<span class="keyword">auto</span> &amp;z : zeros) {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">if</span> (!routes[o][z]) {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; dp[i + (1 &lt;&lt; z)][z] = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; }</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="keywordtype">bool</span> is_cycle = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; is_cycle |= dp[<a class="code" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> - 1][i];</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">if</span> (is_cycle) { <span class="comment">// if true, all subsequent loop will be true. hence</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="comment">// break</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; }</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="keywordflow">return</span> is_cycle;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
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<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
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<p>Main function</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; {</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>();</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>();</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">test3</a>();</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae7880ce913f3058a35ff106d5be9e243">&#9670;&nbsp;</a></span>test1()</h2>
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<td class="memname">static void test1 </td>
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<td class="paramname"></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>this test is testing if <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a> returns <code>true</code> for graph: <code>1 -&gt; 2 -&gt; 3 -&gt; 4</code> </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<div class="fragment"><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;bool&gt;</a>&gt; arr{</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">false</span>}),</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>}),</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>})};</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a>(arr);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1... &quot;</span>;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; assert(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a45d94ead4cf4e1ff9f87c38bc99f59ae">&#9670;&nbsp;</a></span>test2()</h2>
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<td class="memname">static void test2 </td>
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<p>this test is testing if <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a> returns <code>false</code> for <br />
graph:</p><pre>
1 -&gt; 2 -&gt; 3
|
V
4</pre> <dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<div class="fragment"><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; {</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;bool&gt;</a>&gt; arr{</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">false</span>}),</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>, <span class="keyword">false</span>}),</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">false</span>, <span class="keyword">true</span>})};</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a>(arr);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 2... &quot;</span>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; assert(!<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>); <span class="comment">// not a cycle</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0cc94918b6831f308d4fe4fa27f08299">&#9670;&nbsp;</a></span>test3()</h2>
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<td class="memname">static void test3 </td>
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<p>this test is testing if <a class="el" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a> returns <code>true</code> for clique with 4 vertices </p><dl class="section return"><dt>Returns</dt><dd>None </dd></dl>
<div class="fragment"><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; {</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;bool&gt;</a>&gt; arr{</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>}),</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>({<span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>, <span class="keyword">true</span>})};</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; <span class="keywordtype">bool</span> <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code" href="../../dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamilton_cycle</a>(arr);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 3... &quot;</span>;</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; assert(<a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>);</div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div><div class="ttdoc">STL class.</div></div>
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@@ -119,29 +120,31 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">lu_decompose.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.cpp</a>
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a52053d88ea1bcbbed9aca67ab4eeb499">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_topology.cpp</a>
</li>
<li>test2()
: <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">lu_decompose.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">smallest_circle.cpp</a>
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">hill_cipher.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
</li>
<li>test3()
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
: <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
</li>
<li>test_2d_classes()
@@ -176,14 +179,14 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
</li>
<li>tests()
: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
: <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

View File

@@ -96,6 +96,9 @@ $(document).ready(function(){initNavTree('globals_h.html',''); initResizable();
<li>h()
: <a class="el" href="d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">hash_search.cpp</a>
</li>
<li>hamilton_cycle()
: <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0ceb473236b5dc53a85e281ef528dd96">hamiltons_cycle.cpp</a>
</li>
<li>hash_search()
: <a class="el" href="d1/df3/hash__search_8cpp.html#a36ea13c16028f18ef2d5ff47f3fda7a2">hash_search.cpp</a>
</li>

View File

@@ -98,29 +98,29 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">hill_cipher.cpp</a>
, <a class="el" href="d3/d4c/xor__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">xor_cipher.cpp</a>
, <a class="el" href="df/dd0/queue__using__two__stacks_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">queue_using_two_stacks.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.cpp</a>
, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.cpp</a>
, <a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_of_n_numbers.cpp</a>
, <a class="el" href="d4/de8/fast__interger__input_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fast_interger_input.cpp</a>
, <a class="el" href="db/df3/happy__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">happy_number.cpp</a>
, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>
, <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">matrix_exponentiation.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">large_factorial.cpp</a>
, <a class="el" href="da/d9a/palindrome__of__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">palindrome_of_number.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">large_factorial.cpp</a>
, <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">pascal_triangle.cpp</a>
, <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ordinary_least_squares_regressor.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
, <a class="el" href="da/d7b/primality__test_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primality_test.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">smallest_circle.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">miller_rabin.cpp</a>
, <a class="el" href="d3/d19/sparse__matrix_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sparse_matrix.cpp</a>
, <a class="el" href="db/d07/spiral__print_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">spiral_print.cpp</a>
, <a class="el" href="d0/d5a/skip__list_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">skip_list.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">armstrong_number.cpp</a>
, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_inverse_fermat_little_theorem.cpp</a>
, <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ordinary_least_squares_regressor.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">miller_rabin.cpp</a>
, <a class="el" href="db/d07/spiral__print_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">spiral_print.cpp</a>
, <a class="el" href="d5/def/stairs__pattern_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">stairs_pattern.cpp</a>
, <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_inverse_fermat_little_theorem.cpp</a>
, <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">tower_of_hanoi.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">number_of_positive_divisors.cpp</a>
, <a class="el" href="d3/d61/vector__important__functions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">vector_important_functions.cpp</a>
, <a class="el" href="d6/d4a/addition__rule_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">addition_rule.cpp</a>
, <a class="el" href="de/dcf/binary__exponent_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binary_exponent.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">armstrong_number.cpp</a>
, <a class="el" href="d6/dce/rabin__karp_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">rabin_karp.cpp</a>
, <a class="el" href="de/d6a/knuth__morris__pratt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">knuth_morris_pratt.cpp</a>
, <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">brute_force_string_searching.cpp</a>
@@ -144,22 +144,22 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d8/d8a/exponential__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">exponential_search.cpp</a>
, <a class="el" href="df/dd5/binary__search_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">binary_search.cpp</a>
, <a class="el" href="d6/d2e/fenwick__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fenwick_tree.cpp</a>
, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">power_for_huge_numbers.cpp</a>
, <a class="el" href="d5/d67/bayes__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">bayes_theorem.cpp</a>
, <a class="el" href="d6/db0/binomial__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binomial_dist.cpp</a>
, <a class="el" href="db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_factorization.cpp</a>
, <a class="el" href="d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">poisson_dist.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">number_of_positive_divisors.cpp</a>
, <a class="el" href="d6/d4a/addition__rule_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">addition_rule.cpp</a>
, <a class="el" href="d5/d67/bayes__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">bayes_theorem.cpp</a>
, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">power_for_huge_numbers.cpp</a>
, <a class="el" href="d6/db0/binomial__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binomial_dist.cpp</a>
, <a class="el" href="d8/dee/avltree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">avltree.cpp</a>
, <a class="el" href="dc/d93/trie__modern_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">trie_modern.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_amicable_pair.cpp</a>
, <a class="el" href="de/dcf/binary__exponent_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binary_exponent.cpp</a>
, <a class="el" href="db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_factorization.cpp</a>
, <a class="el" href="de/d9b/prime__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_numbers.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_amicable_pair.cpp</a>
, <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primes_up_to_billion.cpp</a>
, <a class="el" href="db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_prime.cpp</a>
, <a class="el" href="d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d8/d6c/line__segment__intersection_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">line_segment_intersection.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">complex_numbers.cpp</a>
, <a class="el" href="d4/de8/fast__interger__input_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fast_interger_input.cpp</a>
, <a class="el" href="db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_prime.cpp</a>
, <a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">decimal_to_roman_numeral.cpp</a>
, <a class="el" href="da/de7/decimal__to__hexadecimal_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">decimal_to_hexadecimal.cpp</a>
, <a class="el" href="d1/d76/buzz__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">buzz_number.cpp</a>
@@ -176,25 +176,26 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">false_position.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">brent_method_extrema.cpp</a>
, <a class="el" href="d7/d6a/bisection__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">bisection_method.cpp</a>
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, <a class="el" href="da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sqrt_double.cpp</a>
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, <a class="el" href="de/d23/disjoint__set_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">disjoint_set.cpp</a>
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, <a class="el" href="da/d23/eulers__totient__function_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">eulers_totient_function.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">hamiltons_cycle.cpp</a>
, <a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">extended_euclid_algorithm.cpp</a>
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, <a class="el" href="d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci.cpp</a>
, <a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_of_n_numbers.cpp</a>
, <a class="el" href="d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci_fast.cpp</a>
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, <a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_iterative_euclidean.cpp</a>
, <a class="el" href="d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci.cpp</a>
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, <a class="el" href="d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci_fast.cpp</a>
</li>
<li>mat_mul()
: <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">qr_eigen_values.cpp</a>

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@@ -130,12 +130,12 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
<li>predict_OLS_regressor()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4bcaaf41c66da4d3a471dacef133def7">ordinary_least_squares_regressor.cpp</a>
</li>
<li>PRIME
: <a class="el" href="d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">rabin_karp.cpp</a>
</li>
<li>prime
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a>
</li>
<li>PRIME
: <a class="el" href="d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">rabin_karp.cpp</a>
</li>
<li>prime_factorization()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization.cpp</a>
</li>

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@@ -110,7 +110,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d7/d89/double__factorial_8cpp.html#abbbcebf3a2d0c67f4c3cfb5511a97981">double_factorial.cpp</a>
</li>
<li>test1()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_trace.cpp</a>
: <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a3f93b60e229b6683e24c4754a7106ee8">large_factorial.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">sum_of_digits.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">brent_method_extrema.cpp</a>
@@ -119,29 +120,31 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">lu_decompose.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.cpp</a>
, <a class="el" href="d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">hill_cipher.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">hamiltons_cycle.cpp</a>
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</li>
<li>test2()
: <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">lu_decompose.cpp</a>
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">smallest_circle.cpp</a>
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, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
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, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
</li>
<li>test3()
: <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
: <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
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, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
</li>
<li>test_2d_classes()
@@ -179,14 +182,14 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a>
</li>
<li>tests()
: <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
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, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

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@@ -187,12 +187,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>qr_decompose()
: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#ab1ac74497ffb2101040cc1efe3546de8">qr_algorithm</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
</ul>

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@@ -178,12 +178,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>qr_decompose()
: <a class="el" href="d2/d3b/namespaceqr__algorithm.html#ab1ac74497ffb2101040cc1efe3546de8">qr_algorithm</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
</ul>

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