From 35166e32da9dd88f1fa159809fda49b79aba4bd0 Mon Sep 17 00:00:00 2001
From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Date: Fri, 10 Jul 2020 19:50:25 +0000
Subject: [PATCH] Documentation for 9a9781064fe7c9de3e7d5c50d104ed007424b6c7

---
 d4/d68/qr__decompose_8h_source.html       |   2 +-
 d5/d88/md__d_i_r_e_c_t_o_r_y.html         |  21 +-
 d7/d98/spirograph_8c.html                 | 244 +++++++++++++++++++
 d7/d98/spirograph_8c.js                   |   7 +
 d7/db5/md_exercism__r_e_a_d_m_e.html      |   2 +-
 d9/d66/group__machine__learning.js        |   4 +-
 da/dd5/spirograph_8c__incl.map            |   8 +
 da/dd5/spirograph_8c__incl.md5            |   1 +
 da/dd5/spirograph_8c__incl.svg            |  97 ++++++++
 db/dfb/hash_8h_source.html                |   5 +
 df/d58/md_leetcode__r_e_a_d_m_e.html      |   2 +-
 dir_e79632891301b850df87e9c0030293fa.html | 116 +++++++++
 dir_e79632891301b850df87e9c0030293fa.js   |   4 +
 files.html                                | 172 ++++++-------
 files_dup.js                              |   1 +
 globals.html                              |   1 +
 globals_defs.html                         |   3 +-
 globals_func.html                         |  42 ++--
 globals_m.html                            |  50 ++--
 globals_s.html                            |   3 +
 globals_t.html                            |  13 +-
 index.html                                |   8 +-
 navtreedata.js                            |  31 +--
 navtreeindex0.js                          | 266 ++++++++++----------
 navtreeindex1.js                          | 282 +++++++++++-----------
 navtreeindex2.js                          |  91 +++----
 search/all_0.js                           |   2 +-
 search/all_12.js                          |  22 +-
 search/all_13.js                          |  34 +--
 search/all_14.js                          |  10 +-
 search/all_15.js                          |   4 +-
 search/all_c.js                           |   2 +-
 search/classes_0.js                       |   6 +-
 search/classes_1.js                       |   4 +-
 search/classes_10.js                      |   2 +-
 search/classes_2.js                       |   2 +-
 search/classes_3.js                       |   2 +-
 search/classes_4.js                       |   6 +-
 search/classes_5.js                       |   4 +-
 search/classes_6.js                       |   4 +-
 search/classes_7.js                       |   2 +-
 search/classes_8.js                       |   2 +-
 search/classes_9.js                       |   2 +-
 search/classes_a.js                       |   4 +-
 search/classes_b.js                       |   2 +-
 search/classes_c.js                       |   2 +-
 search/classes_d.js                       |   4 +-
 search/classes_e.js                       |   6 +-
 search/classes_f.js                       |   6 +-
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 search/defines_1.js                       |   2 +-
 search/defines_2.js                       |   2 +-
 search/defines_3.js                       |   2 +-
 search/defines_4.js                       |  14 +-
 search/defines_5.js                       |   4 +-
 search/defines_6.js                       |   2 +-
 search/files_0.js                         |   2 +-
 search/files_1.js                         |   4 +-
 search/files_2.js                         |   6 +-
 search/files_3.js                         |   2 +-
 search/files_4.js                         |   4 +-
 search/files_5.js                         |   4 +-
 search/files_6.js                         |   2 +-
 search/files_7.js                         |   4 +-
 search/files_8.js                         |   2 +-
 search/files_9.js                         |   6 +-
 search/files_a.js                         |   6 +-
 search/files_b.js                         |   2 +-
 search/files_c.js                         |  17 +-
 search/files_d.js                         |   2 +-
 search/functions_0.js                     |   2 +-
 search/functions_1.js                     |  14 +-
 search/functions_10.js                    |   2 +-
 search/functions_11.js                    |  33 +--
 search/functions_12.js                    |  24 +-
 search/functions_13.js                    |   8 +-
 search/functions_2.js                     |   8 +-
 search/functions_3.js                     |  16 +-
 search/functions_4.js                     |  10 +-
 search/functions_5.js                     |   4 +-
 search/functions_6.js                     |  10 +-
 search/functions_7.js                     |  22 +-
 search/functions_8.js                     |  18 +-
 search/functions_9.js                     |  10 +-
 search/functions_a.js                     |   6 +-
 search/functions_b.js                     |  16 +-
 search/functions_c.js                     |   6 +-
 search/functions_d.js                     |   8 +-
 search/functions_e.js                     |  16 +-
 search/functions_f.js                     |   2 +-
 search/groups_0.js                        |   2 +-
 search/groups_1.js                        |   4 +-
 search/groups_2.js                        |   2 +-
 search/groups_3.js                        |   4 +-
 search/pages_0.js                         |   2 +-
 search/pages_1.js                         |   2 +-
 search/pages_2.js                         |   2 +-
 search/pages_3.js                         |   2 +-
 search/pages_4.js                         |   4 +-
 search/pages_5.js                         |   2 +-
 search/pages_6.js                         |   4 +-
 search/pages_7.js                         |   2 +-
 search/typedefs_0.js                      |   2 +-
 search/typedefs_1.js                      |   2 +-
 search/typedefs_2.js                      |   2 +-
 search/typedefs_3.js                      |   2 +-
 search/variables_0.js                     |   4 +-
 search/variables_1.js                     |  10 +-
 search/variables_2.js                     |   4 +-
 search/variables_3.js                     |   2 +-
 search/variables_4.js                     |   2 +-
 search/variables_5.js                     |  12 +-
 search/variables_6.js                     |   2 +-
 search/variables_7.js                     |   2 +-
 search/variables_8.js                     |   2 +-
 search/variables_9.js                     |   2 +-
 search/variables_a.js                     |   2 +-
 117 files changed, 1267 insertions(+), 753 deletions(-)
 create mode 100644 d7/d98/spirograph_8c.html
 create mode 100644 d7/d98/spirograph_8c.js
 create mode 100644 da/dd5/spirograph_8c__incl.map
 create mode 100644 da/dd5/spirograph_8c__incl.md5
 create mode 100644 da/dd5/spirograph_8c__incl.svg
 create mode 100644 dir_e79632891301b850df87e9c0030293fa.html
 create mode 100644 dir_e79632891301b850df87e9c0030293fa.js

diff --git a/d4/d68/qr__decompose_8h_source.html b/d4/d68/qr__decompose_8h_source.html
index 81eb0637..4005bfef 100644
--- a/d4/d68/qr__decompose_8h_source.html
+++ b/d4/d68/qr__decompose_8h_source.html
@@ -384,6 +384,7 @@ $(document).ready(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','
 <div class="ttc" id="aproblem__26_2sol1_8c_html_aabf4f709c8199e41cf279c77112345fe"><div class="ttname"><a href="../../d1/df9/problem__26_2sol1_8c.html#aabf4f709c8199e41cf279c77112345fe">MAX_LEN</a></div><div class="ttdeci">#define MAX_LEN</div><div class="ttdoc">length of resulting recurring fraction number</div><div class="ttdef"><b>Definition:</b> sol1.c:15</div></div>
 <div class="ttc" id="athreaded__binary__trees_8c_html_ad8ecdcce462dd8e170ae1f164935aaa6"><div class="ttname"><a href="../../df/d3c/threaded__binary__trees_8c.html#ad8ecdcce462dd8e170ae1f164935aaa6">node</a></div><div class="ttdeci">struct Node node</div><div class="ttdoc">Node, the basic data structure of the tree.</div></div>
 <div class="ttc" id="athreaded__binary__trees_8c_html_a306d567466f22e1e927aaed97d8bb58c"><div class="ttname"><a href="../../df/d3c/threaded__binary__trees_8c.html#a306d567466f22e1e927aaed97d8bb58c">search</a></div><div class="ttdeci">void search(node *root, int ele)</div><div class="ttdoc">searches for the element</div><div class="ttdef"><b>Definition:</b> threaded_binary_trees.c:98</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>
 <div class="ttc" id="agroup__kohonen__1d_html_gaffe776513b24d84b39af8ab0930fef7f"><div class="ttname"><a href="../../d0/dcb/group__kohonen__1d.html#gaffe776513b24d84b39af8ab0930fef7f">max</a></div><div class="ttdeci">#define max(a, b)</div><div class="ttdoc">shorthand for maximum value</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.c:32</div></div>
 <div class="ttc" id="agroup__sudoku_html_ga1cd43df3f4187845ce186042fe53e6f1"><div class="ttname"><a href="../../d5/df4/group__sudoku.html#ga1cd43df3f4187845ce186042fe53e6f1">OKbox</a></div><div class="ttdeci">bool OKbox(const struct sudoku *a, int x, int y, int v)</div><div class="ttdoc">Check if a 3x3 box is valid.</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:85</div></div>
 <div class="ttc" id="aproblem__5_2sol_8c_html_a59347107cbfdf48d51108e50280e760d"><div class="ttname"><a href="../../df/de7/problem__5_2sol_8c.html#a59347107cbfdf48d51108e50280e760d">gcd</a></div><div class="ttdeci">unsigned long gcd(unsigned long a, unsigned long b)</div><div class="ttdoc">Compute Greatest Common Divisor (GCD) of two numbers using Euclids algorithm.</div><div class="ttdef"><b>Definition:</b> sol.c:11</div></div>
@@ -408,7 +409,6 @@ $(document).ready(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','
 <div class="ttc" id="astructkohonen__array__3d_html_a16720581653fa9a34d1029e7229a7377"><div class="ttname"><a href="../../d8/db8/structkohonen__array__3d.html#a16720581653fa9a34d1029e7229a7377">kohonen_array_3d::dim1</a></div><div class="ttdeci">int dim1</div><div class="ttdoc">lengths of first dimension</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.c:49</div></div>
 <div class="ttc" id="anewton__raphson__root_8c_html_a72f87d423a488946b319627a454d3925"><div class="ttname"><a href="../../dd/d08/newton__raphson__root_8c.html#a72f87d423a488946b319627a454d3925">func</a></div><div class="ttdeci">double complex func(double complex x)</div><div class="ttdoc">Return value of the function to find the root for.</div><div class="ttdef"><b>Definition:</b> newton_raphson_root.c:22</div></div>
 <div class="ttc" id="astructsudoku_html_a507f788b793d4d3d6f6a70415be84ded"><div class="ttname"><a href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">sudoku::a</a></div><div class="ttdeci">uint8_t * a</div><div class="ttdoc">matrix as a flattened 1D row-major array</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:34</div></div>
-<div class="ttc" id="abinary__search_8c_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../df/d3b/binary__search_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> binary_search.c:75</div></div>
 <div class="ttc" id="aadaline__learning_8c_html_ab4ecb3accf5d9e0263087e7265bbe3a9"><div class="ttname"><a href="../../dd/d8c/adaline__learning_8c.html#ab4ecb3accf5d9e0263087e7265bbe3a9">test1</a></div><div class="ttdeci">void test1(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:225</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>
 <div class="ttc" id="adurand__kerner__roots_8c_html_af270a96662132d0385cb6b4637c5a689"><div class="ttname"><a href="../../da/d38/durand__kerner__roots_8c.html#af270a96662132d0385cb6b4637c5a689">ACCURACY</a></div><div class="ttdeci">#define ACCURACY</div><div class="ttdoc">maximum accuracy limit</div><div class="ttdef"><b>Definition:</b> durand_kerner_roots.c:41</div></div>
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
index 932d92b2..b072abfd 100644
--- 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
@@ -244,18 +244,23 @@ Exercism</h1>
 </li>
 </ul>
 <h1><a class="anchor" id="autotoc_md18"></a>
+Graphics</h1>
+<ul>
+<li><a href="https://github.com/TheAlgorithms/C/blob/master/graphics/spirograph.c">Spirograph</a></li>
+</ul>
+<h1><a class="anchor" id="autotoc_md19"></a>
 Greedy Approach</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/greedy_approach/djikstra.c">Djikstra</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md19"></a>
+<h1><a class="anchor" id="autotoc_md20"></a>
 Hash</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/hash/hash.c">Hash</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/hash/hash.h">Hash</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/hash/test_program.c">Test Program</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md20"></a>
+<h1><a class="anchor" id="autotoc_md21"></a>
 Leetcode</h1>
 <ul>
 <li>Src<ul>
@@ -347,14 +352,14 @@ Leetcode</h1>
 </ul>
 </li>
 </ul>
-<h1><a class="anchor" id="autotoc_md21"></a>
+<h1><a class="anchor" id="autotoc_md22"></a>
 Machine Learning</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/machine_learning/adaline_learning.c">Adaline Learning</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/machine_learning/kohonen_som_topology.c">Kohonen Som Topology</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/machine_learning/kohonen_som_trace.c">Kohonen Som Trace</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md22"></a>
+<h1><a class="anchor" id="autotoc_md23"></a>
 Misc</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/misc/armstrong_number.c">Armstrong Number</a></li>
@@ -388,7 +393,7 @@ Misc</h1>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/misc/tower_of_hanoi.c">Tower Of Hanoi</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/misc/union_find.c">Union Find</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md23"></a>
+<h1><a class="anchor" id="autotoc_md24"></a>
 Numerical Methods</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/numerical_methods/durand_kerner_roots.c">Durand Kerner Roots</a></li>
@@ -409,7 +414,7 @@ Numerical Methods</h1>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/numerical_methods/simpsons_1_3rd_rule.c">Simpsons 1 3Rd Rule</a></li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/numerical_methods/variance.c">Variance</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md24"></a>
+<h1><a class="anchor" id="autotoc_md25"></a>
 Project Euler</h1>
 <ul>
 <li>Problem 1<ul>
@@ -513,7 +518,7 @@ Project Euler</h1>
 </ul>
 </li>
 </ul>
-<h1><a class="anchor" id="autotoc_md25"></a>
+<h1><a class="anchor" id="autotoc_md26"></a>
 Searching</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/searching/binary_search.c">Binary Search</a></li>
@@ -531,7 +536,7 @@ Searching</h1>
 </li>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/searching/ternary_search.c">Ternary Search</a></li>
 </ul>
-<h1><a class="anchor" id="autotoc_md26"></a>
+<h1><a class="anchor" id="autotoc_md27"></a>
 Sorting</h1>
 <ul>
 <li><a href="https://github.com/TheAlgorithms/C/blob/master/sorting/bead_sort.c">Bead Sort</a></li>
diff --git a/d7/d98/spirograph_8c.html b/d7/d98/spirograph_8c.html
new file mode 100644
index 00000000..b8460a9f
--- /dev/null
+++ b/d7/d98/spirograph_8c.html
@@ -0,0 +1,244 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<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/spirograph.c File Reference</title>
+<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="../../jquery.js"></script>
+<script type="text/javascript" src="../../dynsections.js"></script>
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+<script type="text/javascript" src="../../search/search.js"></script>
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+  MathJax.Hub.Config({
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+<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <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>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.18 -->
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
+var searchBox = new SearchBox("searchBox", "../../search",false,'Search');
+/* @license-end */
+</script>
+<script type="text/javascript" src="../../menudata.js"></script>
+<script type="text/javascript" src="../../menu.js"></script>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
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+/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
+$(document).ready(function(){initNavTree('d7/d98/spirograph_8c.html','../../'); initResizable(); });
+/* @license-end */
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+<div id="doc-content">
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<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>
+<tr class="memitem:a525335710b53cb064ca56b936120431e"><td class="memItemLeft" align="right" valign="top"><a id="a525335710b53cb064ca56b936120431e"></a>
+#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>
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+    [ "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>
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 <li>hello-world</li>
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-    [ "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" ],
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 <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>
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-<tr id="row_7_3_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d01/problem__13_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=13">Problem 13</a> solution </td></tr>
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-<tr id="row_7_6_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="d6/d88/problem__16_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=16">Problem 16</a> solution </td></tr>
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-<tr id="row_7_7_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/df0/problem__19_2sol1_8c.html" target="_self">sol1.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=19">Problem 19</a> solution </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_6_4_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dac/sudoku__solver_8c.html" target="_self">sudoku_solver.c</a></td><td class="desc">Sudoku Solver using recursive implementation of brute-force algorithm </td></tr>
+<tr id="row_7_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_7_" class="arrow" onclick="toggleFolder('7_')">&#9660;</span><span id="img_7_" class="iconfopen" onclick="toggleFolder('7_')">&#160;</span><a class="el" href="dir_9c6faab82c22511b50177aa2e38e2780.html" target="_self">numerical_methods</a></td><td class="desc"></td></tr>
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+<tr id="row_7_1_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/d2e/lu__decompose_8c.html" target="_self">lu_decompose.c</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </td></tr>
+<tr id="row_7_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d08/newton__raphson__root_8c.html" target="_self">newton_raphson_root.c</a></td><td class="desc">Find approximate solution for \(f(x) = 0\) using Newton-Raphson interpolation algorithm </td></tr>
+<tr id="row_7_3_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d07/ode__forward__euler_8c.html" target="_self">ode_forward_euler.c</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Numerical_methods_for_ordinary_differential_equations#Euler_method">forward Euler method</a> </td></tr>
+<tr id="row_7_4_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dc2/ode__midpoint__euler_8c.html" target="_self">ode_midpoint_euler.c</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Midpoint_method">midpoint Euler method</a> </td></tr>
+<tr id="row_7_5_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d99/ode__semi__implicit__euler_8c.html" target="_self">ode_semi_implicit_euler.c</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Semi-implicit_Euler_method">semi implicit Euler method</a> </td></tr>
+<tr id="row_7_6_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d68/qr__decompose_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d68/qr__decompose_8h.html" target="_self">qr_decompose.h</a></td><td class="desc">Library functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
+<tr id="row_7_7_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d23/qr__decomposition_8c.html" target="_self">qr_decomposition.c</a></td><td class="desc">Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
+<tr id="row_7_8_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d50/qr__eigen__values_8c.html" target="_self">qr_eigen_values.c</a></td><td class="desc">Compute real eigen values and eigen vectors of a symmetric matrix using <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> method </td></tr>
+<tr id="row_7_9_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/d47/realtime__stats_8c.html" target="_self">realtime_stats.c</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
+<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="toggleFolder('8_')">&#9660;</span><span id="img_8_" class="iconfopen" onclick="toggleFolder('8_')">&#160;</span><a class="el" href="dir_b3d331eabd4234f247030c297aaf021c.html" target="_self">project_euler</a></td><td class="desc"></td></tr>
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+<tr id="row_8_0_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="d2/dae/problem__1_2sol2_8c.html" target="_self">sol2.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=1">Problem 1</a> solution </td></tr>
+<tr id="row_8_0_2_" 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="d6/de3/sol3_8c.html" target="_self">sol3.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=1">Problem 1</a> solution. This solution is based on the pattern that the successive numbers in the series follow: 0+3,+2,+1,+3,+1,+2,+3 </td></tr>
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+<tr id="row_8_1_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/da7/problem__10_2sol2_8c.html" target="_self">sol2.c</a></td><td class="desc"><a href="https://projecteuler.net/problem=10">Problem 10</a> solution </td></tr>
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+<tr id="row_9_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="toggleFolder('9_')">&#9660;</span><span id="img_9_" class="iconfopen" onclick="toggleFolder('9_')">&#160;</span><a class="el" href="dir_da574daf9ce9c05b45556bdc871ed1e3.html" target="_self">searching</a></td><td class="desc"></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="da/d38/durand__kerner__roots_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">durand_kerner_roots.c</a>
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-, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.c</a>
+, <a class="el" href="dc/d63/problem__8_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
+, <a class="el" href="d2/d93/problem__8_2sol2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol2.c</a>
 , <a class="el" href="df/da5/problem__9_2sol1_8c.html#a840291bc02cba5474a4cb46a9b9566fe">sol1.c</a>
 , <a class="el" href="d8/de0/problem__9_2sol2_8c.html#a840291bc02cba5474a4cb46a9b9566fe">sol2.c</a>
 , <a class="el" href="df/d3b/binary__search_8c.html#a840291bc02cba5474a4cb46a9b9566fe">binary_search.c</a>
 , <a class="el" href="d3/d47/modified__binary__search_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modified_binary_search.c</a>
-, <a class="el" href="d5/d23/qr__decomposition_8c.html#a840291bc02cba5474a4cb46a9b9566fe">qr_decomposition.c</a>
-, <a class="el" href="d1/d2f/problem__7_2sol_8c.html#a840291bc02cba5474a4cb46a9b9566fe">sol.c</a>
+, <a class="el" href="d2/da8/bead__sort_8c.html#ac0f2228420376f4db7e1274f2b41667c">bead_sort.c</a>
+, <a class="el" href="d2/d83/merge__sort_8c.html#a840291bc02cba5474a4cb46a9b9566fe">merge_sort.c</a>
 , <a class="el" href="d6/ded/shell__sort2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">shell_sort2.c</a>
 </li>
 <li>mat_mul()
@@ -507,6 +507,9 @@ $(document).ready(function(){initNavTree('globals_func.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>
@@ -527,13 +530,14 @@ $(document).ready(function(){initNavTree('globals_func.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="d7/d50/qr__eigen__values_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.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="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="d7/d50/qr__eigen__values_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.c</a>
 </li>
 <li>test2()
 : <a class="el" href="dd/d8c/adaline__learning_8c.html#a05cc9a0acb524fde727a4d7b4a747ee6">adaline_learning.c</a>
diff --git a/globals_m.html b/globals_m.html
index 680df708..8c3237ae 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -96,23 +96,23 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
 <li>main()
 : <a class="el" href="d7/dd8/c__atoi__str__to__integer_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">c_atoi_str_to_integer.c</a>
 , <a class="el" href="df/d3c/threaded__binary__trees_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">threaded_binary_trees.c</a>
-, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.c</a>
-, <a class="el" href="d6/d3d/factorial__large__number_8c.html#a0ddf1224851353fc92bfbff6f499fa97">factorial_large_number.c</a>
-, <a class="el" href="d4/d99/ode__semi__implicit__euler_8c.html#a0ddf1224851353fc92bfbff6f499fa97">ode_semi_implicit_euler.c</a>
+, <a class="el" href="dd/d8c/adaline__learning_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">adaline_learning.c</a>
+, <a class="el" href="dc/d80/collatz_8c.html#a0ddf1224851353fc92bfbff6f499fa97">collatz.c</a>
+, <a class="el" href="d1/dc2/ode__midpoint__euler_8c.html#a0ddf1224851353fc92bfbff6f499fa97">ode_midpoint_euler.c</a>
+, <a class="el" href="dd/df0/problem__19_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
 , <a class="el" href="d0/d7f/so1_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">so1.c</a>
+, <a class="el" href="d4/d99/ode__semi__implicit__euler_8c.html#a0ddf1224851353fc92bfbff6f499fa97">ode_semi_implicit_euler.c</a>
 , <a class="el" href="db/d80/problem__20_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
+, <a class="el" href="d6/d3d/factorial__large__number_8c.html#a0ddf1224851353fc92bfbff6f499fa97">factorial_large_number.c</a>
 , <a class="el" href="d5/d23/qr__decomposition_8c.html#a840291bc02cba5474a4cb46a9b9566fe">qr_decomposition.c</a>
-, <a class="el" href="df/d1a/problem__21_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
-, <a class="el" href="d4/d99/fibonacci__fast_8c.html#a0ddf1224851353fc92bfbff6f499fa97">fibonacci_fast.c</a>
+, <a class="el" href="dd/d8b/problem__22_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
 , <a class="el" href="d7/d50/qr__eigen__values_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">qr_eigen_values.c</a>
-, <a class="el" href="d7/ddb/problem__23_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
 , <a class="el" href="d4/dbd/problem__23_2sol2_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol2.c</a>
-, <a class="el" href="dc/d47/realtime__stats_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.c</a>
 , <a class="el" href="d8/d32/problem__25_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
-, <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.c</a>
-, <a class="el" href="de/dac/sudoku__solver_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sudoku_solver.c</a>
-, <a class="el" href="da/d35/problem__1_2sol1_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol1.c</a>
-, <a class="el" href="d2/dbc/problem__3_2sol2_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol2.c</a>
+, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.c</a>
+, <a class="el" href="d4/d99/fibonacci__fast_8c.html#a0ddf1224851353fc92bfbff6f499fa97">fibonacci_fast.c</a>
+, <a class="el" href="dc/d47/realtime__stats_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.c</a>
+, <a class="el" href="d1/df9/problem__26_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
 , <a class="el" href="d6/ded/shell__sort2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">shell_sort2.c</a>
 , <a class="el" href="d2/d83/merge__sort_8c.html#a840291bc02cba5474a4cb46a9b9566fe">merge_sort.c</a>
 , <a class="el" href="d2/da8/bead__sort_8c.html#ac0f2228420376f4db7e1274f2b41667c">bead_sort.c</a>
@@ -123,22 +123,24 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
 , <a class="el" href="d2/d93/problem__8_2sol2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol2.c</a>
 , <a class="el" href="dc/d63/problem__8_2sol1_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol1.c</a>
 , <a class="el" href="d1/d2f/problem__7_2sol_8c.html#a840291bc02cba5474a4cb46a9b9566fe">sol.c</a>
-, <a class="el" href="d2/dae/problem__1_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="d4/d83/problem__401_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
-, <a class="el" href="da/d38/durand__kerner__roots_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">durand_kerner_roots.c</a>
+, <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>
+, <a class="el" href="d2/dae/problem__1_2sol2_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sol2.c</a>
 , <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>
-, <a class="el" href="dd/d8c/adaline__learning_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">adaline_learning.c</a>
-, <a class="el" href="dc/d80/cantor__set_8c.html#abf9e6b7e6f15df4b525a2e7705ba3089">cantor_set.c</a>
-, <a class="el" href="dc/d2e/lu__decompose_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">lu_decompose.c</a>
 , <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>
+, <a class="el" href="d6/d88/problem__16_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
 , <a class="el" href="d9/da7/problem__10_2sol2_8c.html#a0ddf1224851353fc92bfbff6f499fa97">sol2.c</a>
+, <a class="el" href="d7/d1f/problem__12_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
+, <a class="el" href="dc/d80/cantor__set_8c.html#abf9e6b7e6f15df4b525a2e7705ba3089">cantor_set.c</a>
 , <a class="el" href="dd/d08/newton__raphson__root_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">newton_raphson_root.c</a>
-, <a class="el" href="dd/df0/problem__19_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">sol1.c</a>
-, <a class="el" href="dc/d80/collatz_8c.html#a0ddf1224851353fc92bfbff6f499fa97">collatz.c</a>
 , <a class="el" href="d4/d07/ode__forward__euler_8c.html#a0ddf1224851353fc92bfbff6f499fa97">ode_forward_euler.c</a>
-, <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>
@@ -163,8 +165,8 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
 : <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
index 99315d19..87ce4bd8 100644
--- 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>
-, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a1440a7779ac56f47a3f355ce4a8c7da0">kohonen_som_topology.c</a>
 </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>
+, <a class="el" href="d0/d46/kohonen__som__trace_8c.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.c</a>
 , <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>
-, <a class="el" href="d2/df6/kohonen__som__topology_8c.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.c</a>
 </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>
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 <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>
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 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>
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 Features</h1>
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 <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>
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 <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>
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 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>
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 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>
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