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+<div class="ttc" id="aspirograph_8c_html_a708a4c1a4d0c4acc4c447310dd4db27f"><div class="ttname"><a href="../../d7/d98/spirograph_8c.html#a708a4c1a4d0c4acc4c447310dd4db27f">test</a></div><div class="ttdeci">void test(void)</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition:</b> spirograph.c:74</div></div>
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diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
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 </li>
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+<li><a href="https://github.com/TheAlgorithms/C/blob/master/graphics/spirograph.c">Spirograph</a></li>
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 <ul>
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 <ul>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="header">
+  <div class="summary">
+<a href="#define-members">Macros</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">spirograph.c File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implementation of <a href="https://en.wikipedia.org/wiki/Spirograph">Spirograph</a>  
+<a href="#details">More...</a></p>
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;stdbool.h&gt;</code><br />
+<code>#include &lt;stdio.h&gt;</code><br />
+<code>#include &lt;stdlib.h&gt;</code><br />
+<code>#include &lt;time.h&gt;</code><br />
+</div><div class="textblock"><div class="dynheader">
+Include dependency graph for spirograph.c:</div>
+<div class="dyncontent">
+<div class="center"><iframe scrolling="no" frameborder="0" src="../../da/dd5/spirograph_8c__incl.svg" width="430" height="112"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
+</div>
+</div>
+</div><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="define-members"></a>
+Macros</h2></td></tr>
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+#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d98/spirograph_8c.html#a525335710b53cb064ca56b936120431e">_USE_MATH_DEFINES</a></td></tr>
+<tr class="memdesc:a525335710b53cb064ca56b936120431e"><td class="mdescLeft">&#160;</td><td class="mdescRight">required for MSVC compiler <br /></td></tr>
+<tr class="separator:a525335710b53cb064ca56b936120431e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0daa148091ec953809fc172289f773d3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d98/spirograph_8c.html#a0daa148091ec953809fc172289f773d3">spirograph</a> (double *x, double *y, double l, double k, size_t <a class="el" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>, double rot)</td></tr>
+<tr class="memdesc:a0daa148091ec953809fc172289f773d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Generate spirograph curve into arrays <code>x</code> and <code>y</code> such that the i^th point in 2D is represented by <code>(x[i],y[i])</code>.  <a href="../../d7/d98/spirograph_8c.html#a0daa148091ec953809fc172289f773d3">More...</a><br /></td></tr>
+<tr class="separator:a0daa148091ec953809fc172289f773d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a708a4c1a4d0c4acc4c447310dd4db27f"><td class="memItemLeft" align="right" valign="top"><a id="a708a4c1a4d0c4acc4c447310dd4db27f"></a>
+void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d98/spirograph_8c.html#a708a4c1a4d0c4acc4c447310dd4db27f">test</a> (void)</td></tr>
+<tr class="memdesc:a708a4c1a4d0c4acc4c447310dd4db27f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test function to save resulting points to a CSV file. <br /></td></tr>
+<tr class="separator:a708a4c1a4d0c4acc4c447310dd4db27f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top"><a id="a3c04138a5bfe5d72780bb7e82a18e627"></a>
+int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d98/spirograph_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
+<tr class="memdesc:a3c04138a5bfe5d72780bb7e82a18e627"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
+<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Spirograph">Spirograph</a> </p>
+<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a></dd></dl>
+<p>Implementation of the program is based on the geometry shown in the figure below:</p>
+<p><a href="https://commons.wikimedia.org/wiki/File:Resonance_Cascade.svg"><img src="https://upload.wikimedia.org/wikipedia/commons/3/39/Resonance_Cascade.svg" alt="Spirograph geometry from Wikipedia" style="pointer-events: none; width: 250px" class="inline"/></a> </p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a0daa148091ec953809fc172289f773d3"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0daa148091ec953809fc172289f773d3">&#9670;&nbsp;</a></span>spirograph()</h2>
+
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void spirograph </td>
+          <td>(</td>
+          <td class="paramtype">double *&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double *&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>l</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>rot</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Generate spirograph curve into arrays <code>x</code> and <code>y</code> such that the i^th point in 2D is represented by <code>(x[i],y[i])</code>. </p>
+<p>The generating function is given by: </p><p class="formulaDsp">
+\begin{eqnarray*} x &amp;=&amp; R\left[ (1-k) \cos (t) + l\cdot k\cdot\cos \left(\frac{1-k}{k}t\right) \right]\\ y &amp;=&amp; R\left[ (1-k) \sin (t) - l\cdot k\cdot\sin \left(\frac{1-k}{k}t\right) \right] \end{eqnarray*}
+</p>
+<p> where</p><ul>
+<li>\(R\) is the scaling parameter that we will consider \(=1\)</li>
+<li>\(l=\frac{\rho}{r}\) is the relative distance of marker from the centre of inner circle and \(0\le l\le1\)</li>
+<li>\(\rho\) is physical distance of marker from centre of inner circle</li>
+<li>\(r\) is the radius of inner circle</li>
+<li>\(k=\frac{r}{R}\) is the ratio of radius of inner circle to outer circle and \(0&lt;k&lt;1\)</li>
+<li>\(R\) is the radius of outer circle</li>
+<li>\(t\) is the angle of rotation of the point i.e., represents the time parameter</li>
+</ul>
+<p>Since we are considering ratios, the actual values of \(r\) and \(R\) are immaterial.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[out]</td><td class="paramname">x</td><td>output array containing absicca of points (must be pre-allocated) </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">y</td><td>output array containing ordinates of points (must be pre-allocated) </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">l</td><td>the relative distance of marker from the centre of inner circle and \(0\le l\le1\) </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">k</td><td>the ratio of radius of inner circle to outer circle and \(0&lt;k&lt;1\) </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">N</td><td>number of sample points along the trajectory (higher = better resolution but consumes more time and memory) </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">num_rot</td><td>the number of rotations to perform (can be fractional value) </td></tr>
+  </table>
+  </dd>
+</dl>
+<div class="fragment"><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;{</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <span class="keywordtype">double</span> dt = rot * 2.f * M_PI / <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keywordtype">double</span> t = 0.f, R = 1.f;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> k1 = 1.f - k;</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;    <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> dk = 0; dk &lt; <a class="code" href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a>; dk++, t += dt)</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;        x[dk] = R * (k1 * cos(t) + l * k * cos(k1 * t / k));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        y[dk] = R * (k1 * sin(t) - l * k * sin(k1 * t / k));</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;}</div>
+</div><!-- fragment -->
+</div>
+</div>
+</div><!-- contents -->
+</div><!-- doc-content -->
+<div class="ttc" id="aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4"><div class="ttname"><a href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a></div><div class="ttdeci">#define N</div><div class="ttdoc">number of digits of the large number</div><div class="ttdef"><b>Definition:</b> sol1.c:109</div></div>
+<!-- start footer part -->
+<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
+  <ul>
+    <li class="navelem"><a class="el" href="../../dir_e79632891301b850df87e9c0030293fa.html">graphics</a></li><li class="navelem"><a class="el" href="../../d7/d98/spirograph_8c.html">spirograph.c</a></li>
+    <li class="footer">Generated by
+    <a href="http://www.doxygen.org/index.html">
+    <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
+  </ul>
+</div>
+</body>
+</html>
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+[
+    [ "_USE_MATH_DEFINES", "d7/d98/spirograph_8c.html#a525335710b53cb064ca56b936120431e", null ],
+    [ "main", "d7/d98/spirograph_8c.html#a3c04138a5bfe5d72780bb7e82a18e627", null ],
+    [ "spirograph", "d7/d98/spirograph_8c.html#a0daa148091ec953809fc172289f773d3", null ],
+    [ "test", "d7/d98/spirograph_8c.html#a708a4c1a4d0c4acc4c447310dd4db27f", null ]
+];
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 <div class="contents">
 <div class="textblock"><p>This directory contains some sample solutions for <b>exercism.io</b></p>
-<h2><a class="anchor" id="autotoc_md28"></a>
+<h2><a class="anchor" id="autotoc_md29"></a>
 Overview</h2>
 <p>In this directory you will find (in the right order):</p><ul>
 <li>hello-world</li>
diff --git a/d9/d66/group__machine__learning.js b/d9/d66/group__machine__learning.js
index ec37f3ff..e0d0fbcf 100644
--- a/d9/d66/group__machine__learning.js
+++ b/d9/d66/group__machine__learning.js
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     [ "Overview about functions", "de/d20/md_data_structures_dictionary__r_e_a_d_m_e.html#autotoc_md9", null ],
     [ "Content", "d1/d12/md_data_structures_stack__r_e_a_d_m_e.html#autotoc_md11", null ],
     [ "Public interface", "d1/d12/md_data_structures_stack__r_e_a_d_m_e.html#autotoc_md12", null ],
-    [ "Overview", "d7/db5/md_exercism__r_e_a_d_m_e.html#autotoc_md28", null ],
-    [ "LeetCode Algorithm", "df/d58/md_leetcode__r_e_a_d_m_e.html#autotoc_md30", null ],
+    [ "Overview", "d7/db5/md_exercism__r_e_a_d_m_e.html#autotoc_md29", null ],
+    [ "LeetCode Algorithm", "df/d58/md_leetcode__r_e_a_d_m_e.html#autotoc_md31", null ],
     [ "Adaline learning algorithm", "da/d2a/group__adaline.html", "da/d2a/group__adaline" ],
     [ "Kohonen SOM topology algorithm", "d1/d6b/group__kohonen__2d.html", "d1/d6b/group__kohonen__2d" ],
     [ "Kohonen SOM trace/chain algorithm", "d0/dcb/group__kohonen__1d.html", "d0/dcb/group__kohonen__1d" ]
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+</a>
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+</a>
+</g>
+</g>
+<!-- Node1&#45;&gt;Node6 -->
+<g id="edge5" class="edge">
+<title>Node1&#45;&gt;Node6</title>
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 </div><!-- doc-content -->
 <div class="ttc" id="astructdata_html"><div class="ttname"><a href="../../df/dea/structdata.html">data</a></div><div class="ttdef"><b>Definition:</b> prime_factoriziation.c:25</div></div>
+<div class="ttc" id="aproblem__13_2sol1_8c_html_a0240ac851181b84ac374872dc5434ee4"><div class="ttname"><a href="../../db/d01/problem__13_2sol1_8c.html#a0240ac851181b84ac374872dc5434ee4">N</a></div><div class="ttdeci">#define N</div><div class="ttdoc">number of digits of the large number</div><div class="ttdef"><b>Definition:</b> sol1.c:109</div></div>
+<div class="ttc" id="aspirograph_8c_html_a0daa148091ec953809fc172289f773d3"><div class="ttname"><a href="../../d7/d98/spirograph_8c.html#a0daa148091ec953809fc172289f773d3">spirograph</a></div><div class="ttdeci">void spirograph(double *x, double *y, double l, double k, size_t N, double rot)</div><div class="ttdoc">Generate spirograph curve into arrays x and y such that the i^th point in 2D is represented by (x[i],...</div><div class="ttdef"><b>Definition:</b> spirograph.c:57</div></div>
+<div class="ttc" id="aspirograph_8c_html_a708a4c1a4d0c4acc4c447310dd4db27f"><div class="ttname"><a href="../../d7/d98/spirograph_8c.html#a708a4c1a4d0c4acc4c447310dd4db27f">test</a></div><div class="ttdeci">void test(void)</div><div class="ttdoc">Test function to save resulting points to a CSV file.</div><div class="ttdef"><b>Definition:</b> spirograph.c:74</div></div>
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+<div class="ttc" id="aspirograph_8c_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../d7/d98/spirograph_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">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> spirograph.c:271</div></div>
+<div class="ttc" id="aadaline__learning_8c_html_a05cc9a0acb524fde727a4d7b4a747ee6"><div class="ttname"><a href="../../dd/d8c/adaline__learning_8c.html#a05cc9a0acb524fde727a4d7b4a747ee6">test2</a></div><div class="ttdeci">void test2(double eta)</div><div class="ttdoc">test function to predict points in a 2D coordinate system above the line  as +1 and others as -1.</div><div class="ttdef"><b>Definition:</b> adaline_learning.c:273</div></div>
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
diff --git a/df/d58/md_leetcode__r_e_a_d_m_e.html b/df/d58/md_leetcode__r_e_a_d_m_e.html
index a7bba093..020470bf 100644
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+++ b/df/d58/md_leetcode__r_e_a_d_m_e.html
@@ -94,7 +94,7 @@ $(document).ready(function(){initNavTree('df/d58/md_leetcode__r_e_a_d_m_e.html',
 <div class="title">LeetCode </div>  </div>
 </div><!--header-->
 <div class="contents">
-<div class="textblock"><h2><a class="anchor" id="autotoc_md30"></a>
+<div class="textblock"><h2><a class="anchor" id="autotoc_md31"></a>
 LeetCode Algorithm</h2>
 <table class="markdownTable">
 <tr class="markdownTableHead">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.18"/>
+<meta name="viewport" content="width=device-width, initial-scale=1"/>
+<title>Algorithms_in_C: graphics Directory Reference</title>
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+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
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+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Algorithms_in_C
+   &#160;<span id="projectnumber">1.0.0</span>
+   </div>
+   <div id="projectbrief">Set of algorithms implemented in C.</div>
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+ </tr>
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-<tr id="row_7_13_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d32/problem__25_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=25">Problem 25</a> solution implemented using arbitrarily large numbers represented as arrays </td></tr>
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-<tr id="row_7_17_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/problem__401_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=401">Problem 401</a> solution - Sum of squares of divisors </td></tr>
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-<tr id="row_7_19_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d7b/problem__6_2sol_8c.html" target="_self">sol.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=6">Problem 6</a> solution </td></tr>
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-<tr id="row_7_20_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d2f/problem__7_2sol_8c.html" target="_self">sol.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=7">Problem 7</a> solution </td></tr>
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-<tr id="row_7_21_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/d63/problem__8_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=8">Problem 8</a> solution </td></tr>
-<tr id="row_7_21_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d93/problem__8_2sol2_8c.html" target="_self">sol2.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=8">Problem 8</a> solution </td></tr>
-<tr id="row_7_22_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_22_" class="arrow" onclick="toggleFolder('7_22_')">&#9658;</span><span id="img_7_22_" class="iconfclosed" onclick="toggleFolder('7_22_')">&#160;</span><a class="el" href="dir_d4c35186c199e728d69dee6bf5b2473c.html" target="_self">problem_9</a></td><td class="desc"></td></tr>
-<tr id="row_7_22_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/da5/problem__9_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=9">Problem 9</a> solution - A naive implementation </td></tr>
-<tr id="row_7_22_1_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/de0/problem__9_2sol2_8c.html" target="_self">sol2.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=9">Problem 9</a> solution </td></tr>
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-<tr id="row_8_0_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d3b/binary__search_8c.html" target="_self">binary_search.c</a></td><td class="desc">Program to perform <a href="https://en.wikipedia.org/wiki/Binary_search_algorithm">binary search</a> of a target value in a given <em>sorted</em> array </td></tr>
-<tr id="row_8_1_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d47/modified__binary__search_8c.html" target="_self">modified_binary_search.c</a></td><td class="desc"><a href="https://arxiv.org/abs/1406.1677">Modified binary search algorithm</a> </td></tr>
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-<tr id="row_9_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/da8/bead__sort_8c.html" target="_self">bead_sort.c</a></td><td class="desc">Sorting of array list using <a href="https://en.wikipedia.org/wiki/Bead_sort">bead sort</a> </td></tr>
-<tr id="row_9_1_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d83/merge__sort_8c.html" target="_self">merge_sort.c</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Merge_sort">merge sort</a> algorithm </td></tr>
-<tr id="row_9_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/ded/shell__sort2_8c.html" target="_self">shell_sort2.c</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Shell_sort">Shell sort algorithm</a> implementation </td></tr>
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+<tr id="row_9_1_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d47/modified__binary__search_8c.html" target="_self">modified_binary_search.c</a></td><td class="desc"><a href="https://arxiv.org/abs/1406.1677">Modified binary search algorithm</a> </td></tr>
+<tr id="row_10_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_10_" class="arrow" onclick="toggleFolder('10_')">&#9660;</span><span id="img_10_" class="iconfopen" onclick="toggleFolder('10_')">&#160;</span><a class="el" href="dir_bb1b521853a9c46347182a9d10420771.html" target="_self">sorting</a></td><td class="desc"></td></tr>
+<tr id="row_10_0_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/da8/bead__sort_8c.html" target="_self">bead_sort.c</a></td><td class="desc">Sorting of array list using <a href="https://en.wikipedia.org/wiki/Bead_sort">bead sort</a> </td></tr>
+<tr id="row_10_1_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d83/merge__sort_8c.html" target="_self">merge_sort.c</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Merge_sort">merge sort</a> algorithm </td></tr>
+<tr id="row_10_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/ded/shell__sort2_8c.html" target="_self">shell_sort2.c</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Shell_sort">Shell sort algorithm</a> implementation </td></tr>
 </table>
 </div><!-- directory -->
 </div><!-- contents -->
diff --git a/files_dup.js b/files_dup.js
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+, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.c</a>
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+, <a class="el" href="de/dac/sudoku__solver_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sudoku_solver.c</a>
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 </li>
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 <li>stats_computer1()
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 </li>
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+, <a class="el" href="d1/df9/problem__26_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
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+, <a class="el" href="d2/dbc/problem__3_2sol2_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol2.c</a>
+, <a class="el" href="d0/d6c/problem__4_2sol_8c.html#a840291bc02cba5474a4cb46a9b9566fe">sol.c</a>
+, <a class="el" href="de/dac/sudoku__solver_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sudoku_solver.c</a>
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 , <a class="el" href="d6/de3/sol3_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol3.c</a>
+, <a class="el" href="d7/d98/spirograph_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">spirograph.c</a>
+, <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.c</a>
+, <a class="el" href="da/d38/durand__kerner__roots_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">durand_kerner_roots.c</a>
 , <a class="el" href="d6/d1b/sol4_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol4.c</a>
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 , <a class="el" href="d0/d6d/problem__10_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
+, <a class="el" href="dc/d2e/lu__decompose_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">lu_decompose.c</a>
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 , <a class="el" href="d9/da7/problem__10_2sol2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol2.c</a>
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 , <a class="el" href="dd/d08/newton__raphson__root_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">newton_raphson_root.c</a>
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-, <a class="el" href="d1/dc2/ode__midpoint__euler_8c.html#a0ddf1224851353fc92bfbff6f499fa97">ode_midpoint_euler.c</a>
 </li>
 <li>mat_mul()
 : <a class="el" href="d7/d50/qr__eigen__values_8c.html#a741477692f001a805b0fea942c9dc2b9">qr_eigen_values.c</a>
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 : <a class="el" href="d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">sol1.c</a>
 </li>
 <li>MAX_N
-: <a class="el" href="d4/dbd/problem__23_2sol2_8c.html#a8c7ddb39906f281b801f2cd58d416c2b">sol2.c</a>
-, <a class="el" href="d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">sol1.c</a>
+: <a class="el" href="d7/ddb/problem__23_2sol1_8c.html#a337e545af040d754dc012b42523ee1ee">sol1.c</a>
+, <a class="el" href="d4/dbd/problem__23_2sol2_8c.html#a8c7ddb39906f281b801f2cd58d416c2b">sol2.c</a>
 </li>
 <li>MAX_NAME_LEN
 : <a class="el" href="dd/d8b/problem__22_2sol1_8c.html#afd709f201d7643c3909621f620ea648a">sol1.c</a>
@@ -185,8 +187,8 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
 : <a class="el" href="d1/dc2/ode__midpoint__euler_8c.html#affe6cc2ab040b94a29e6c41782f72d51">ode_midpoint_euler.c</a>
 </li>
 <li>min
-: <a class="el" href="d1/d6b/group__kohonen__2d.html#gac6afabdc09a49a433ee19d8a9486056d">kohonen_som_topology.c</a>
-, <a class="el" href="d0/dcb/group__kohonen__1d.html#gac6afabdc09a49a433ee19d8a9486056d">kohonen_som_trace.c</a>
+: <a class="el" href="d0/dcb/group__kohonen__1d.html#gac6afabdc09a49a433ee19d8a9486056d">kohonen_som_trace.c</a>
+, <a class="el" href="d1/d6b/group__kohonen__2d.html#gac6afabdc09a49a433ee19d8a9486056d">kohonen_som_topology.c</a>
 </li>
 <li>MOD
 : <a class="el" href="d4/d83/problem__401_2sol1_8c.html#aca7d5718ab8c38506adb3bef2469b319">sol1.c</a>
diff --git a/globals_s.html b/globals_s.html
index 53f7c8b7..35d29576 100644
--- a/globals_s.html
+++ b/globals_s.html
@@ -127,6 +127,9 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
 <li>solve()
 : <a class="el" href="d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">sudoku_solver.c</a>
 </li>
+<li>spirograph()
+: <a class="el" href="d7/d98/spirograph_8c.html#a0daa148091ec953809fc172289f773d3">spirograph.c</a>
+</li>
 <li>stats_computer1()
 : <a class="el" href="dc/d47/realtime__stats_8c.html#a63ddcdaab24f722f0963fa2fbe0ae628">realtime_stats.c</a>
 </li>
diff --git a/globals_t.html b/globals_t.html
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--- a/globals_t.html
+++ b/globals_t.html
@@ -94,24 +94,25 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
 
 <h3><a id="index_t"></a>- t -</h3><ul>
 <li>test()
-: <a class="el" href="df/d3b/binary__search_8c.html#ae1a3968e7947464bee7714f6d43b7002">binary_search.c</a>
+: <a class="el" href="d7/d98/spirograph_8c.html#a708a4c1a4d0c4acc4c447310dd4db27f">spirograph.c</a>
+, <a class="el" href="df/d3b/binary__search_8c.html#ae1a3968e7947464bee7714f6d43b7002">binary_search.c</a>
 </li>
 <li>test1()
-: <a class="el" href="dd/d8c/adaline__learning_8c.html#ab4ecb3accf5d9e0263087e7265bbe3a9">adaline_learning.c</a>
+: <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_topology.c</a>
 , <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_trace.c</a>
+, <a class="el" href="dd/d8c/adaline__learning_8c.html#ab4ecb3accf5d9e0263087e7265bbe3a9">adaline_learning.c</a>
 , <a class="el" href="d7/d50/qr__eigen__values_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.c</a>
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 </li>
 <li>test2()
-: <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.c</a>
+: <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.c</a>
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 , <a class="el" href="d7/d50/qr__eigen__values_8c.html#a0283886819c7c140a023582b7269e2d0">qr_eigen_values.c</a>
 , <a class="el" href="dd/d8c/adaline__learning_8c.html#a05cc9a0acb524fde727a4d7b4a747ee6">adaline_learning.c</a>
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 </li>
 <li>test3()
 : <a class="el" href="dd/d8c/adaline__learning_8c.html#a3f37b9f073f7e57fd0b39d70718af1b1">adaline_learning.c</a>
-, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.c</a>
 , <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.c</a>
+, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.c</a>
 </li>
 <li>test_2d_classes()
 : <a class="el" href="d2/df6/kohonen__som__topology_8c.html#adb5ded007be1fd666fab9affe6764018">kohonen_som_topology.c</a>
diff --git a/index.html b/index.html
index 724623ef..b8c4bbd5 100644
--- a/index.html
+++ b/index.html
@@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
 <div class="contents">
 <div class="textblock"><p><a class="anchor" id="mainpage"></a></p>
 <p><a href="https://gitpod.io/#https://github.com/TheAlgorithms/C"><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code" class="inline"/></a> <a href="https://lgtm.com/projects/g/TheAlgorithms/C/context:cpp"><img src="https://img.shields.io/lgtm/grade/cpp/g/TheAlgorithms/C.svg?logo=lgtm&amp;logoWidth=18" alt="Language grade: C/C++" style="pointer-events: none;" class="inline"/></a> <a href="https://gitter.im/TheAlgorithms"><img src="https://img.shields.io/badge/Chat-Gitter-ff69b4.svg?label=Chat&amp;logo=gitter&amp;style=flat-square" alt="Gitter chat" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/CONTRIBUTING.md"><img src="https://img.shields.io/static/v1.svg?label=Contributions&amp;message=Welcome&amp;color=0059b3&amp;style=flat-square" alt="contributions welcome" style="pointer-events: none;" class="inline"/></a> <img src="https://img.shields.io/github/repo-size/TheAlgorithms/C?color=red&amp;style=flat-square" alt="GitHub repo size" class="inline"/> <a href="https://TheAlgorithms.github.io/C"><img src="https://github.com/TheAlgorithms/C/workflows/Doxygen%20CI/badge.svg" alt="Doxygen CI" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C/actions?query=workflow%3A%22Awesome+CI+Workflow%22"><img src="https://github.com/TheAlgorithms/C/workflows/Awesome%20CI%20Workflow/badge.svg" alt="Awesome CI" style="pointer-events: none;" class="inline"/></a></p>
-<h1><a class="anchor" id="autotoc_md32"></a>
+<h1><a class="anchor" id="autotoc_md33"></a>
 Overview</h1>
 <p>The repository is a collection of open-source implementation of a variety of algorithms implemented in C and licensed under <a href="https://github.com/TheAlgorithms/C/blob/master/LICENSE">GPLv3 License</a>. The algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.</p>
-<h1><a class="anchor" id="autotoc_md33"></a>
+<h1><a class="anchor" id="autotoc_md34"></a>
 Features</h1>
 <ul>
 <li>The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - <a href="https://en.wikipedia.org/wiki/C_(programming_language)">C</a>.</li>
@@ -110,12 +110,12 @@ Features</h1>
 <li>Self-checks within programs ensure correct implementations with confidence.</li>
 <li>Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.</li>
 </ul>
-<h1><a class="anchor" id="autotoc_md34"></a>
+<h1><a class="anchor" id="autotoc_md35"></a>
 Documentation</h1>
 <p><a href="https://TheAlgorithms.github.io/C">Online Documentation</a> is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. Click on <a href="https://TheAlgorithms.github.io/C/files.html">Files menu</a> to see the list of all the files documented with the code.</p>
 <p><a href="https://thealgorithms.github.io/C">Documentation of Algorithms in C</a> by <a href="https://github.com/TheAlgorithms/C/graphs/contributors">The Algorithms Contributors</a> is licensed under <a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1">CC BY-SA 4.0</a><br  />
  <a href="https://creativecommons.org/licenses/by-sa/4.0"><img src="https://mirrors.creativecommons.org/presskit/icons/cc.svg" alt="Creative Commons License" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/by.svg" alt="Credit must be given to the creator" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/sa.svg" alt="Adaptations must be shared under the same terms" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/></a></p>
-<h1><a class="anchor" id="autotoc_md35"></a>
+<h1><a class="anchor" id="autotoc_md36"></a>
 Contributions</h1>
 <p>As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our <a href="https://github.com/TheAlgorithms/C/blob/master/CONTRIBUTING.md">Contribution Guidelines</a>. </p>
 </div></div><!-- PageDoc -->
diff --git a/navtreedata.js b/navtreedata.js
index e2e72382..bb62dc53 100644
--- a/navtreedata.js
+++ b/navtreedata.js
@@ -26,10 +26,10 @@ var NAVTREE =
 [
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     [ "The Algorithms - C", "index.html", [
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-      [ "Features", "index.html#autotoc_md33", null ],
-      [ "Documentation", "index.html#autotoc_md34", null ],
-      [ "Contributions", "index.html#autotoc_md35", null ]
+      [ "Overview", "index.html#autotoc_md33", null ],
+      [ "Features", "index.html#autotoc_md34", null ],
+      [ "Documentation", "index.html#autotoc_md35", null ],
+      [ "Contributions", "index.html#autotoc_md36", null ]
     ] ],
     [ "Code style convention", "dc/d64/md__coding_guidelines.html", [
       [ "User-interface", "dc/d64/md__coding_guidelines.html#autotoc_md2", null ],
@@ -46,15 +46,16 @@ var NAVTREE =
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