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<div class="textblock"><p>Greedy Algorithms. </p>
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<div class="headertitle"><div class="title">boruvkas_minimum_spanning_tree.cpp File Reference</div></div>
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<p>[Borůvkas Algorithm](<a href="https://en.wikipedia.org/wiki/Borůvka's_algorithm">https://en.wikipedia.org/wiki/Borůvka's_algorithm</a>) to find the <a class="el" href="../../d4/d12/namespace_minimum.html" title="Implementation of Minimum Edit Distance algorithm.">Minimum</a> Spanning Tree
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;climits&gt;</code><br />
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Include dependency graph for boruvkas_minimum_spanning_tree.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:d2/d90/namespacegreedy__algorithms"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d90/namespacegreedy__algorithms.html">greedy_algorithms</a></td></tr>
<tr class="memdesc:d2/d90/namespacegreedy__algorithms"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greedy Algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d8/d64/namespaceboruvkas__minimum__spanning__tree"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d64/namespaceboruvkas__minimum__spanning__tree.html">boruvkas_minimum_spanning_tree</a></td></tr>
<tr class="memdesc:d8/d64/namespaceboruvkas__minimum__spanning__tree"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the [Borůvkas Algorithm](<a href="https://en.wikipedia.org/wiki/Borůvka's_algorithm">https://en.wikipedia.org/wiki/Borůvka's_algorithm</a>) implementation. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a95de0f5e70e83164dbd1b4c515565e84"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">greedy_algorithms::boruvkas_minimum_spanning_tree::findParent</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; int, int &gt; &gt; parent, const int v)</td></tr>
<tr class="memdesc:a95de0f5e70e83164dbd1b4c515565e84"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursively returns the vertex's parent at the root of the tree. <br /></td></tr>
<tr class="separator:a95de0f5e70e83164dbd1b4c515565e84"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a94c615fc66b72e0adbcbcb99aabb1a59"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a94c615fc66b72e0adbcbcb99aabb1a59">greedy_algorithms::boruvkas_minimum_spanning_tree::boruvkas</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; adj)</td></tr>
<tr class="memdesc:a94c615fc66b72e0adbcbcb99aabb1a59"><td class="mdescLeft">&#160;</td><td class="mdescRight">the implementation of boruvka's algorithm <br /></td></tr>
<tr class="separator:a94c615fc66b72e0adbcbcb99aabb1a59"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2311b22324cf09926726e4ce1309af8b"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a2311b22324cf09926726e4ce1309af8b">greedy_algorithms::boruvkas_minimum_spanning_tree::test_findGraphSum</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; adj)</td></tr>
<tr class="memdesc:a2311b22324cf09926726e4ce1309af8b"><td class="mdescLeft">&#160;</td><td class="mdescRight">counts the sum of edges in the given tree <br /></td></tr>
<tr class="separator:a2311b22324cf09926726e4ce1309af8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
<tr class="separator:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><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>[Borůvkas Algorithm](<a href="https://en.wikipedia.org/wiki/Borůvka's_algorithm">https://en.wikipedia.org/wiki/Borůvka's_algorithm</a>) to find the <a class="el" href="../../d4/d12/namespace_minimum.html" title="Implementation of Minimum Edit Distance algorithm.">Minimum</a> Spanning Tree </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/JNardoni" target="_blank">Jason Nardoni</a></dd></dl>
<p>Boruvka's algorithm is a greepy algorithm to find the MST by starting with small trees, and combining them to build bigger ones.</p><ol type="1">
<li>Creates a group for every vertex.</li>
<li>looks through each edge of every vertex for the smallest weight. Keeps track of the smallest edge for each of the current groups.</li>
<li>Combine each group with the group it shares its smallest edge, adding the smallest edge to the MST.</li>
<li>Repeat step 2-3 until all vertices are combined into a single group.</li>
</ol>
<p>It assumes that the graph is connected. Non-connected edges can be represented using 0 or INT_MAX </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a94c615fc66b72e0adbcbcb99aabb1a59" name="a94c615fc66b72e0adbcbcb99aabb1a59"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a94c615fc66b72e0adbcbcb99aabb1a59">&#9670;&#160;</a></span>boruvkas()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; greedy_algorithms::boruvkas_minimum_spanning_tree::boruvkas </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt;&#160;</td>
<td class="paramname"><em>adj</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>the implementation of boruvka's algorithm </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">adj</td><td>a graph adjancency matrix stored as 2d vectors. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the MST as 2d vectors </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 57</span> {</div>
<div class="line"><span class="lineno"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordtype">size_t</span> size = adj.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordtype">size_t</span> total_groups = size;</div>
<div class="line"><span class="lineno"> 61</span> </div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">if</span> (size &lt;= 1) {</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">return</span> adj;</div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// Stores the current Minimum Spanning Tree. As groups are combined, they are added to the MST</span></div>
<div class="line"><span class="lineno"> 67</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; MST(size, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(size, INT_MAX));</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 69</span> MST[i][i] = 0;</div>
<div class="line"><span class="lineno"> 70</span> }</div>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// Step 1: Create a group for each vertex</span></div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// Stores the parent of the vertex and its current depth, both initialized to 0</span></div>
<div class="line"><span class="lineno"> 75</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int, int&gt;</a>&gt; parent(size, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(0, 0)); </div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 78</span> parent[i].first = i; <span class="comment">// Sets parent of each vertex to itself, depth remains 0</span></div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="line"><span class="lineno"> 80</span> </div>
<div class="line"><span class="lineno"> 81</span> <span class="comment">// Repeat until all are in a single group</span></div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">while</span> (total_groups &gt; 1) {</div>
<div class="line"><span class="lineno"> 83</span> </div>
<div class="line"><span class="lineno"> 84</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int,int&gt;</a>&gt; smallest_edge(size, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(-1, -1)); <span class="comment">//Pairing: start node, end node</span></div>
<div class="line"><span class="lineno"> 85</span> </div>
<div class="line"><span class="lineno"> 86</span> <span class="comment">// Step 2: Look throught each vertex for its smallest edge, only using the right half of the adj matrix</span></div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i+1; j &lt; size; j++) {</div>
<div class="line"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">if</span> (adj[i][j] == INT_MAX || adj[i][j] == 0) { <span class="comment">// No connection</span></div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><span class="lineno"> 92</span> }</div>
<div class="line"><span class="lineno"> 93</span> </div>
<div class="line"><span class="lineno"> 94</span> <span class="comment">// Finds the parents of the start and end points to make sure they arent in the same group</span></div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordtype">int</span> parentA = <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">findParent</a>(parent, i);</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordtype">int</span> parentB = <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">findParent</a>(parent, j);</div>
<div class="line"><span class="lineno"> 97</span> </div>
<div class="line"><span class="lineno"> 98</span> <span class="keywordflow">if</span> (parentA != parentB) {</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <span class="comment">// Grabs the start and end points for the first groups current smallest edge</span></div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordtype">int</span> start = smallest_edge[parentA].first;</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordtype">int</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = smallest_edge[parentA].second;</div>
<div class="line"><span class="lineno"> 103</span> </div>
<div class="line"><span class="lineno"> 104</span> <span class="comment">// If there is no current smallest edge, or the new edge is smaller, records the new smallest</span></div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">if</span> (start == -1 || adj [i][j] &lt; adj[start][end]) {</div>
<div class="line"><span class="lineno"> 106</span> smallest_edge[parentA].first = i;</div>
<div class="line"><span class="lineno"> 107</span> smallest_edge[parentA].second = j;</div>
<div class="line"><span class="lineno"> 108</span> }</div>
<div class="line"><span class="lineno"> 109</span> </div>
<div class="line"><span class="lineno"> 110</span> <span class="comment">// Does the same for the second group</span></div>
<div class="line"><span class="lineno"> 111</span> start = smallest_edge[parentB].first;</div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = smallest_edge[parentB].second;</div>
<div class="line"><span class="lineno"> 113</span> </div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">if</span> (start == -1 || adj[j][i] &lt; adj[start][end]) {</div>
<div class="line"><span class="lineno"> 115</span> smallest_edge[parentB].first = j;</div>
<div class="line"><span class="lineno"> 116</span> smallest_edge[parentB].second = i;</div>
<div class="line"><span class="lineno"> 117</span> }</div>
<div class="line"><span class="lineno"> 118</span> }</div>
<div class="line"><span class="lineno"> 119</span> }</div>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span> </div>
<div class="line"><span class="lineno"> 122</span> <span class="comment">// Step 3: Combine the groups based off their smallest edge</span></div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 125</span> </div>
<div class="line"><span class="lineno"> 126</span> <span class="comment">// Makes sure the smallest edge exists</span></div>
<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">if</span> (smallest_edge[i].first != -1) {</div>
<div class="line"><span class="lineno"> 128</span> </div>
<div class="line"><span class="lineno"> 129</span> <span class="comment">// Start and end points for the groups smallest edge</span></div>
<div class="line"><span class="lineno"> 130</span> <span class="keywordtype">int</span> start = smallest_edge[i].first;</div>
<div class="line"><span class="lineno"> 131</span> <span class="keywordtype">int</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> = smallest_edge[i].second;</div>
<div class="line"><span class="lineno"> 132</span> </div>
<div class="line"><span class="lineno"> 133</span> <span class="comment">// Parents of the two groups - A is always itself</span></div>
<div class="line"><span class="lineno"> 134</span> <span class="keywordtype">int</span> parentA = i;</div>
<div class="line"><span class="lineno"> 135</span> <span class="keywordtype">int</span> parentB = <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">findParent</a>(parent, end);</div>
<div class="line"><span class="lineno"> 136</span> </div>
<div class="line"><span class="lineno"> 137</span> <span class="comment">// Makes sure the two nodes dont share the same parent. Would happen if the two groups have been </span></div>
<div class="line"><span class="lineno"> 138</span> <span class="comment">//merged previously through a common shortest edge</span></div>
<div class="line"><span class="lineno"> 139</span> <span class="keywordflow">if</span> (parentA == parentB) {</div>
<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><span class="lineno"> 141</span> }</div>
<div class="line"><span class="lineno"> 142</span> </div>
<div class="line"><span class="lineno"> 143</span> <span class="comment">// Tries to balance the trees as much as possible as they are merged. The parent of the shallower</span></div>
<div class="line"><span class="lineno"> 144</span> <span class="comment">//tree will be pointed to the parent of the deeper tree.</span></div>
<div class="line"><span class="lineno"> 145</span> <span class="keywordflow">if</span> (parent[parentA].second &lt; parent[parentB].second) {</div>
<div class="line"><span class="lineno"> 146</span> parent[parentB].first = parentA; <span class="comment">//New parent</span></div>
<div class="line"><span class="lineno"> 147</span> parent[parentB].second++; <span class="comment">//Increase depth</span></div>
<div class="line"><span class="lineno"> 148</span> }</div>
<div class="line"><span class="lineno"> 149</span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 150</span> parent[parentA].first = parentB;</div>
<div class="line"><span class="lineno"> 151</span> parent[parentA].second++;</div>
<div class="line"><span class="lineno"> 152</span> }</div>
<div class="line"><span class="lineno"> 153</span> <span class="comment">// Add the connection to the MST, using both halves of the adj matrix</span></div>
<div class="line"><span class="lineno"> 154</span> MST[start][<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>] = adj[start][<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>];</div>
<div class="line"><span class="lineno"> 155</span> MST[<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>][start] = adj[<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>][start];</div>
<div class="line"><span class="lineno"> 156</span> total_groups--; <span class="comment">// one fewer group</span></div>
<div class="line"><span class="lineno"> 157</span> }</div>
<div class="line"><span class="lineno"> 158</span> }</div>
<div class="line"><span class="lineno"> 159</span> } </div>
<div class="line"><span class="lineno"> 160</span> <span class="keywordflow">return</span> MST; </div>
<div class="line"><span class="lineno"> 161</span>}</div>
<div class="ttc" id="aboruvkas__minimum__spanning__tree_8cpp_html_a95de0f5e70e83164dbd1b4c515565e84"><div class="ttname"><a href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">greedy_algorithms::boruvkas_minimum_spanning_tree::findParent</a></div><div class="ttdeci">int findParent(std::vector&lt; std::pair&lt; int, int &gt; &gt; parent, const int v)</div><div class="ttdoc">Recursively returns the vertex's parent at the root of the tree.</div><div class="ttdef"><b>Definition:</b> boruvkas_minimum_spanning_tree.cpp:44</div></div>
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a95de0f5e70e83164dbd1b4c515565e84">&#9670;&#160;</a></span>findParent()</h2>
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<td class="memname">int greedy_algorithms::boruvkas_minimum_spanning_tree::findParent </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt; int, int &gt; &gt;&#160;</td>
<td class="paramname"><em>parent</em>, </td>
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<td></td>
<td class="paramtype">const int&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
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<p>Recursively returns the vertex's parent at the root of the tree. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">parent</td><td>the array that will be checked </td></tr>
<tr><td class="paramname">v</td><td>vertex to find parent of </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the parent of the vertex </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (parent[v].first != v) {</div>
<div class="line"><span class="lineno"> 46</span> parent[v].first = <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a95de0f5e70e83164dbd1b4c515565e84">findParent</a>(parent, parent[v].first);</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> </div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> parent[v].first;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 219</span> {</div>
<div class="line"><span class="lineno"> 220</span> <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 221</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 222</span>}</div>
<div class="ttc" id="aboruvkas__minimum__spanning__tree_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> boruvkas_minimum_spanning_tree.cpp:190</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2311b22324cf09926726e4ce1309af8b">&#9670;&#160;</a></span>test_findGraphSum()</h2>
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<td class="memname">int greedy_algorithms::boruvkas_minimum_spanning_tree::test_findGraphSum </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt;&#160;</td>
<td class="paramname"><em>adj</em></td><td>)</td>
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<p>counts the sum of edges in the given tree </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">adj</td><td>2D vector adjacency matrix </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the int size of the tree </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 168</span> {</div>
<div class="line"><span class="lineno"> 169</span> </div>
<div class="line"><span class="lineno"> 170</span> <span class="keywordtype">size_t</span> size = adj.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = 0;</div>
<div class="line"><span class="lineno"> 172</span> </div>
<div class="line"><span class="lineno"> 173</span> <span class="comment">//Moves through one side of the adj matrix, counting the sums of each edge</span></div>
<div class="line"><span class="lineno"> 174</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; size; i++) {</div>
<div class="line"><span class="lineno"> 175</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j &lt; size; j++) {</div>
<div class="line"><span class="lineno"> 176</span> <span class="keywordflow">if</span> (adj[i][j] &lt; INT_MAX) {</div>
<div class="line"><span class="lineno"> 177</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> += adj[i][j];</div>
<div class="line"><span class="lineno"> 178</span> }</div>
<div class="line"><span class="lineno"> 179</span> }</div>
<div class="line"><span class="lineno"> 180</span> }</div>
<div class="line"><span class="lineno"> 181</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a>;</div>
<div class="line"><span class="lineno"> 182</span>}</div>
<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector&lt; std::valarray&lt; T &gt; &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:232</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
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<td class="memname">static void tests </td>
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<td class="paramname"></td><td>)</td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 190</span> {</div>
<div class="line"><span class="lineno"> 191</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Starting tests...\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 192</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><span class="lineno"> 193</span> {0, 5, INT_MAX, 3, INT_MAX} ,</div>
<div class="line"><span class="lineno"> 194</span> {5, 0, 2, INT_MAX, 5} ,</div>
<div class="line"><span class="lineno"> 195</span> {INT_MAX, 2, 0, INT_MAX, 3} ,</div>
<div class="line"><span class="lineno"> 196</span> {3, INT_MAX, INT_MAX, 0, INT_MAX} ,</div>
<div class="line"><span class="lineno"> 197</span> {INT_MAX, 5, 3, INT_MAX, 0} ,</div>
<div class="line"><span class="lineno"> 198</span> };</div>
<div class="line"><span class="lineno"> 199</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; MST = <a class="code hl_function" href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a94c615fc66b72e0adbcbcb99aabb1a59">greedy_algorithms::boruvkas_minimum_spanning_tree::boruvkas</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>);</div>
<div class="line"><span class="lineno"> 200</span> assert(greedy_algorithms::boruvkas_minimum_spanning_tree::test_findGraphSum(MST) == 13);</div>
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<div class="line"><span class="lineno"> 206</span> { 0, 3, 0, 0, 7 },</div>
<div class="line"><span class="lineno"> 207</span> { 6, 8, 0, 0, 9 },</div>
<div class="line"><span class="lineno"> 208</span> { 0, 5, 7, 9, 0 }</div>
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<div class="line"><span class="lineno"> 211</span> assert(greedy_algorithms::boruvkas_minimum_spanning_tree::test_findGraphSum(MST) == 16);</div>
<div class="line"><span class="lineno"> 212</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;2nd test passed!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 213</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aboruvkas__minimum__spanning__tree_8cpp_html_a94c615fc66b72e0adbcbcb99aabb1a59"><div class="ttname"><a href="../../d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a94c615fc66b72e0adbcbcb99aabb1a59">greedy_algorithms::boruvkas_minimum_spanning_tree::boruvkas</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; int &gt; &gt; boruvkas(std::vector&lt; std::vector&lt; int &gt; &gt; adj)</div><div class="ttdoc">the implementation of boruvka's algorithm</div><div class="ttdef"><b>Definition:</b> boruvkas_minimum_spanning_tree.cpp:57</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
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<p>Functions for the [Borůvkas Algorithm](<a href="https://en.wikipedia.org/wiki/Borůvka's_algorithm">https://en.wikipedia.org/wiki/Borůvka's_algorithm</a>) implementation.
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<li>SieveOfEratosthenes()&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a></li>
<li>sortcol()&#160;:&#160;<a class="el" href="df/d47/fcfs__scheduling_8cpp.html#a18920aa331faf4476b251c8cdb2c2bec">fcfs_scheduling.cpp</a></li>
<li>spiralPrint()&#160;:&#160;<a class="el" href="db/d07/spiral__print_8cpp.html#a850d3f55e1a8d227176cdcc67352c197">spiral_print.cpp</a></li>

2
globals_func_t.html
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@@ -134,7 +134,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
<li>test_int()&#160;:&#160;<a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a></li>
<li>test_lamniscate()&#160;:&#160;<a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a53082f2e5bacec40266499da4547309a">kohonen_som_trace.cpp</a></li>
<li>test_remove()&#160;:&#160;<a class="el" href="df/d42/binary__search__tree2_8cpp.html#ab1333c3ea06dcad896ee204bbd407c4e">binary_search_tree2.cpp</a></li>
<li>tests()&#160;:&#160;<a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>, <a class="el" href="da/d4b/depth__first__search__with__stack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">depth_first_search_with_stack.cpp</a>, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>, <a class="el" href="de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">travelling_salesman_problem.cpp</a>, <a class="el" href="d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">binomial_calculate.cpp</a>, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>, <a class="el" href="dc/de1/recursive__tree__traversal_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">recursive_tree_traversal.cpp</a>, <a class="el" href="d9/d02/linear__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">linear_search.cpp</a>, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>, <a class="el" href="d1/d21/quick__sort_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">quick_sort.cpp</a>, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a></li>
<li>tests()&#160;:&#160;<a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>, <a class="el" href="da/d4b/depth__first__search__with__stack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">depth_first_search_with_stack.cpp</a>, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>, <a class="el" href="de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">travelling_salesman_problem.cpp</a>, <a class="el" href="d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">boruvkas_minimum_spanning_tree.cpp</a>, <a class="el" href="d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">binomial_calculate.cpp</a>, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>, <a class="el" href="dc/de1/recursive__tree__traversal_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">recursive_tree_traversal.cpp</a>, <a class="el" href="d9/d02/linear__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">linear_search.cpp</a>, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>, <a class="el" href="d1/d21/quick__sort_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">quick_sort.cpp</a>, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a></li>
<li>TH()&#160;:&#160;<a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a></li>
<li>tolowerRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a003fb4e1b08279fe4cd50fbbc2782c2d">decimal_to_roman_numeral.cpp</a></li>
<li>toupperRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a214743638eff1336f835310049aef979">decimal_to_roman_numeral.cpp</a></li>

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@@ -112,8 +112,8 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_happy()&#160;:&#160;<a class="el" href="db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">happy_number.cpp</a></li>
<li>is_prime()&#160;:&#160;<a class="el" href="db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">check_prime.cpp</a></li>
<li>is_square()&#160;:&#160;<a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a8fa731952b0ee3bc7ec51c51ed21911e">ordinary_least_squares_regressor.cpp</a></li>
<li>isPrime()&#160;:&#160;<a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>
<li>isprime&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a></li>
<li>isPrime()&#160;:&#160;<a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a></li>
<li>IsPrime()&#160;:&#160;<a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a></li>
<li>it_ternary_search()&#160;:&#160;<a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a></li>
</ul>

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globals_p.html
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@@ -112,8 +112,8 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
<li>pop()&#160;:&#160;<a class="el" href="dc/dc5/paranthesis__matching_8cpp.html#a6d25c7dfbfeb52c3cb9d1b56ab49b664">paranthesis_matching.cpp</a></li>
<li>power()&#160;:&#160;<a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power_for_huge_numbers.cpp</a>, <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#a702a9fc90e79b05b863cc4efa26ae2ec">matrix_exponentiation.cpp</a></li>
<li>predict_OLS_regressor()&#160;:&#160;<a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#ade6e463f37878fe2a219f927c65b5493">ordinary_least_squares_regressor.cpp</a></li>
<li>prime&#160;:&#160;<a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a></li>
<li>PRIME&#160;:&#160;<a class="el" href="d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">rabin_karp.cpp</a></li>
<li>prime&#160;:&#160;<a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a></li>
<li>prime_factorization()&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization.cpp</a></li>
<li>prime_numbers&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_factorization.cpp</a></li>
<li>primes()&#160;:&#160;<a class="el" href="de/d9b/prime__numbers_8cpp.html#a9575f3a51eeb8a57d657b3db6a4b441a">prime_numbers.cpp</a></li>

2
globals_s.html
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@@ -111,8 +111,8 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
<li>show_array()&#160;:&#160;<a class="el" href="d5/ddb/bogo__sort_8cpp.html#ae8adaeff66471f9ed84f2e673b38a859">bogo_sort.cpp</a></li>
<li>show_data()&#160;:&#160;<a class="el" href="d4/d7a/shell__sort2_8cpp.html#a951127aea9d7e1e53ea9ae0868633246">shell_sort2.cpp</a></li>
<li>show_pascal()&#160;:&#160;<a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a></li>
<li>Sieve()&#160;:&#160;<a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a></li>
<li>sieve()&#160;:&#160;<a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a7eebd5e7686a8db363f937b2f30d3818">sieve_of_eratosthenes.cpp</a></li>
<li>Sieve()&#160;:&#160;<a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a></li>
<li>SieveOfEratosthenes()&#160;:&#160;<a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a></li>
<li>sortcol()&#160;:&#160;<a class="el" href="df/d47/fcfs__scheduling_8cpp.html#a18920aa331faf4476b251c8cdb2c2bec">fcfs_scheduling.cpp</a></li>
<li>spiralPrint()&#160;:&#160;<a class="el" href="db/d07/spiral__print_8cpp.html#a850d3f55e1a8d227176cdcc67352c197">spiral_print.cpp</a></li>

2
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@@ -135,7 +135,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
<li>test_lamniscate()&#160;:&#160;<a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a53082f2e5bacec40266499da4547309a">kohonen_som_trace.cpp</a></li>
<li>test_remove()&#160;:&#160;<a class="el" href="df/d42/binary__search__tree2_8cpp.html#ab1333c3ea06dcad896ee204bbd407c4e">binary_search_tree2.cpp</a></li>
<li>test_set&#160;:&#160;<a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a></li>
<li>tests()&#160;:&#160;<a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>, <a class="el" href="da/d4b/depth__first__search__with__stack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">depth_first_search_with_stack.cpp</a>, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>, <a class="el" href="de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">travelling_salesman_problem.cpp</a>, <a class="el" href="d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">binomial_calculate.cpp</a>, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>, <a class="el" href="dc/de1/recursive__tree__traversal_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">recursive_tree_traversal.cpp</a>, <a class="el" href="d9/d02/linear__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">linear_search.cpp</a>, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>, <a class="el" href="d1/d21/quick__sort_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">quick_sort.cpp</a>, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a></li>
<li>tests()&#160;:&#160;<a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>, <a class="el" href="da/d4b/depth__first__search__with__stack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">depth_first_search_with_stack.cpp</a>, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>, <a class="el" href="de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">travelling_salesman_problem.cpp</a>, <a class="el" href="d4/d6c/boruvkas__minimum__spanning__tree_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">boruvkas_minimum_spanning_tree.cpp</a>, <a class="el" href="d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">binomial_calculate.cpp</a>, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>, <a class="el" href="dc/de1/recursive__tree__traversal_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">recursive_tree_traversal.cpp</a>, <a class="el" href="d9/d02/linear__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">linear_search.cpp</a>, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>, <a class="el" href="d1/d21/quick__sort_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">quick_sort.cpp</a>, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a></li>
<li>TH()&#160;:&#160;<a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a></li>
<li>tolowerRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a003fb4e1b08279fe4cd50fbbc2782c2d">decimal_to_roman_numeral.cpp</a></li>
<li>toupperRoman()&#160;:&#160;<a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html#a214743638eff1336f835310049aef979">decimal_to_roman_numeral.cpp</a></li>

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namespaces.html
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<tr id="row_7_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d13/namespacebidirectional__dijkstra.html" target="_self">bidirectional_dijkstra</a></td><td class="desc">Functions for [Bidirectional Dijkstra Shortest Path] (<a href="https://www.coursera.org/learn/algorithms-on-graphs/lecture/7ml18/bidirectional-dijkstra">https://www.coursera.org/learn/algorithms-on-graphs/lecture/7ml18/bidirectional-dijkstra</a>) algorithm </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d7a/namespacebinomial.html" target="_self">binomial</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a> implementation </td></tr>
<tr id="row_9_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d81/namespacebit__manipulation.html" target="_self">bit_manipulation</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d81/namespacecaesar.html" target="_self">caesar</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Caesar_cipher" target="_blank">Caesar cipher</a> algorithm </td></tr>
<tr id="row_11_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d4e/namespaceciphers.html" target="_self">ciphers</a></td><td class="desc">Algorithms for encryption and decryption </td></tr>
<tr id="row_11_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_11_0_" class="arrow" onclick="toggleFolder('11_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" target="_self">elliptic_curve_key_exchange</a></td><td class="desc">Namespace <a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a> </td></tr>
<tr id="row_11_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" target="_self">Point</a></td><td class="desc">Definition of struct <a class="el" href="d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> </td></tr>
<tr id="row_11_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d26/classciphers_1_1_hill_cipher.html" target="_self">HillCipher</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher" target="_blank">Hill Cipher</a> algorithm </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dcd/namespacecircular__linked__list.html" target="_self">circular_linked_list</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/circular-linked-list/" target="_blank">Circular Linked List</a> implementation </td></tr>
<tr id="row_13_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d38/namespacecount__bits__flip.html" target="_self">count_bits_flip</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count bits flip</a> implementation </td></tr>
<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/dae/namespacecount__of__set__bits.html" target="_self">count_of_set_bits</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count sets bits</a> implementation </td></tr>
<tr id="row_15_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d2f/namespacecount__of__trailing__ciphers__in__factorial__n.html" target="_self">count_of_trailing_ciphers_in_factorial_n</a></td><td class="desc">Functions for the <a href="https://www.tutorialspoint.com/count-trailing-zeros-in-factorial-of-a-number-in-cplusplus" target="_blank">Count the number of ciphers</a> in <code>n!</code> implementation </td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d36/namespacecut__rod.html" target="_self">cut_rod</a></td><td class="desc">Implementation of cutting a rod problem </td></tr>
<tr id="row_17_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d82/namespacecycle__detection.html" target="_self">cycle_detection</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Cycle_detection" target="_blank">Floyd's Cycle Detection</a> algorithm </td></tr>
<tr id="row_18_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dfb/namespacecycle__sort.html" target="_self">cycle_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Cycle_sort" target="_blank">Cycle sort</a> algorithm </td></tr>
<tr id="row_19_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_19_" class="arrow" onclick="toggleFolder('19_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d3c/namespacedata__structures.html" target="_self">data_structures</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_19_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dae/classdata__structures_1_1_bitset.html" target="_self">Bitset</a></td><td class="desc">Simple bitset implementation for bloom filter </td></tr>
<tr id="row_19_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/dd4/classdata__structures_1_1_bloom_filter.html" target="_self">BloomFilter</a></td><td class="desc">Bloom filter template class </td></tr>
<tr id="row_19_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d49/structdata__structures_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_19_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/d90/classdata__structures_1_1_skip_list.html" target="_self">SkipList</a></td><td class="desc"></td></tr>
<tr id="row_19_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d3e/classdata__structures_1_1trie.html" target="_self">trie</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> implementation for small-case English alphabets <code>a-z</code> </td></tr>
<tr id="row_20_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/da7/namespacedepth__first__search.html" target="_self">depth_first_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Depth-first_search" target="_blank">Depth First Search</a> algorithm </td></tr>
<tr id="row_21_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/db4/namespacedisjoint__union.html" target="_self">disjoint_union</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Disjoint_union" target="_blank">Disjoint union</a> implementation </td></tr>
<tr id="row_22_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/dba/namespacedivide__and__conquer.html" target="_self">divide_and_conquer</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_23_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d75/namespacednf__sort.html" target="_self">dnf_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Dutch_national_flag_problem" target="_blank">DNF sort</a> implementation </td></tr>
<tr id="row_24_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_24_" class="arrow" onclick="toggleFolder('24_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing" target="_blank">double hashing</a> algorithm </td></tr>
<tr id="row_24_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dde/structdouble__hashing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_25_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d88/namespacedp.html" target="_self">dp</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_26_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_27_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for [False Position] (<a href="https://en.wikipedia.org/wiki/Regula_falsi">https://en.wikipedia.org/wiki/Regula_falsi</a>) method </td></tr>
<tr id="row_28_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/dc9/namespacefibonacci__sum.html" target="_self">fibonacci_sum</a></td><td class="desc">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) +
<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d64/namespaceboruvkas__minimum__spanning__tree.html" target="_self">boruvkas_minimum_spanning_tree</a></td><td class="desc">Functions for the [Borůvkas Algorithm](<a href="https://en.wikipedia.org/wiki/Borůvka's_algorithm">https://en.wikipedia.org/wiki/Borůvka's_algorithm</a>) implementation </td></tr>
<tr id="row_11_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d81/namespacecaesar.html" target="_self">caesar</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Caesar_cipher" target="_blank">Caesar cipher</a> algorithm </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_12_" class="arrow" onclick="toggleFolder('12_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d4e/namespaceciphers.html" target="_self">ciphers</a></td><td class="desc">Algorithms for encryption and decryption </td></tr>
<tr id="row_12_0_" class="odd" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_12_0_" class="arrow" onclick="toggleFolder('12_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" target="_self">elliptic_curve_key_exchange</a></td><td class="desc">Namespace <a class="el" href="df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html" title="namespace elliptic_curve_key_exchange">elliptic_curve_key_exchange</a> </td></tr>
<tr id="row_12_0_0_" class="odd" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" target="_self">Point</a></td><td class="desc">Definition of struct <a class="el" href="d6/d45/structciphers_1_1elliptic__curve__key__exchange_1_1_point.html" title="Definition of struct Point.">Point</a> </td></tr>
<tr id="row_12_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d26/classciphers_1_1_hill_cipher.html" target="_self">HillCipher</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher" target="_blank">Hill Cipher</a> algorithm </td></tr>
<tr id="row_13_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dcd/namespacecircular__linked__list.html" target="_self">circular_linked_list</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/circular-linked-list/" target="_blank">Circular Linked List</a> implementation </td></tr>
<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d38/namespacecount__bits__flip.html" target="_self">count_bits_flip</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count bits flip</a> implementation </td></tr>
<tr id="row_15_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/dae/namespacecount__of__set__bits.html" target="_self">count_of_set_bits</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count sets bits</a> implementation </td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d2f/namespacecount__of__trailing__ciphers__in__factorial__n.html" target="_self">count_of_trailing_ciphers_in_factorial_n</a></td><td class="desc">Functions for the <a href="https://www.tutorialspoint.com/count-trailing-zeros-in-factorial-of-a-number-in-cplusplus" target="_blank">Count the number of ciphers</a> in <code>n!</code> implementation </td></tr>
<tr id="row_17_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d36/namespacecut__rod.html" target="_self">cut_rod</a></td><td class="desc">Implementation of cutting a rod problem </td></tr>
<tr id="row_18_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d82/namespacecycle__detection.html" target="_self">cycle_detection</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Cycle_detection" target="_blank">Floyd's Cycle Detection</a> algorithm </td></tr>
<tr id="row_19_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dfb/namespacecycle__sort.html" target="_self">cycle_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Cycle_sort" target="_blank">Cycle sort</a> algorithm </td></tr>
<tr id="row_20_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_20_" class="arrow" onclick="toggleFolder('20_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d3c/namespacedata__structures.html" target="_self">data_structures</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_20_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dae/classdata__structures_1_1_bitset.html" target="_self">Bitset</a></td><td class="desc">Simple bitset implementation for bloom filter </td></tr>
<tr id="row_20_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/dd4/classdata__structures_1_1_bloom_filter.html" target="_self">BloomFilter</a></td><td class="desc">Bloom filter template class </td></tr>
<tr id="row_20_2_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d49/structdata__structures_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_20_3_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d4/d90/classdata__structures_1_1_skip_list.html" target="_self">SkipList</a></td><td class="desc"></td></tr>
<tr id="row_20_4_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d3e/classdata__structures_1_1trie.html" target="_self">trie</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> implementation for small-case English alphabets <code>a-z</code> </td></tr>
<tr id="row_21_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/da7/namespacedepth__first__search.html" target="_self">depth_first_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Depth-first_search" target="_blank">Depth First Search</a> algorithm </td></tr>
<tr id="row_22_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/db4/namespacedisjoint__union.html" target="_self">disjoint_union</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Disjoint_union" target="_blank">Disjoint union</a> implementation </td></tr>
<tr id="row_23_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/dba/namespacedivide__and__conquer.html" target="_self">divide_and_conquer</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_24_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d75/namespacednf__sort.html" target="_self">dnf_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Dutch_national_flag_problem" target="_blank">DNF sort</a> implementation </td></tr>
<tr id="row_25_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_25_" class="arrow" onclick="toggleFolder('25_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing" target="_blank">double hashing</a> algorithm </td></tr>
<tr id="row_25_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/dde/structdouble__hashing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_26_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d88/namespacedp.html" target="_self">dp</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_27_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_28_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for [False Position] (<a href="https://en.wikipedia.org/wiki/Regula_falsi">https://en.wikipedia.org/wiki/Regula_falsi</a>) method </td></tr>
<tr id="row_29_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/dc9/namespacefibonacci__sum.html" target="_self">fibonacci_sum</a></td><td class="desc">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) +
\mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_29_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/da7/namespacefind__non__repeating__integer.html" target="_self">find_non_repeating_integer</a></td><td class="desc">Functions to find the non repeating integer in an array of repeating integers. <a href="https://leetcode.com/problems/single-number/" target="_blank">Single Number</a> </td></tr>
<tr id="row_30_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d8a/namespacegeometric__dist.html" target="_self">geometric_dist</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> algorithm implementation </td></tr>
<tr id="row_31_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_31_" class="arrow" onclick="toggleFolder('31_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process" target="_blank">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_33_" class="arrow" onclick="toggleFolder('33_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dce/namespacegraph.html" target="_self">graph</a></td><td class="desc"><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms </td></tr>
<tr id="row_33_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d61/classgraph_1_1_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_33_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d69/classgraph_1_1_h_k_graph.html" target="_self">HKGraph</a></td><td class="desc">Represents Bipartite graph for Hopcroft Karp implementation </td></tr>
<tr id="row_33_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></td></tr>
<tr id="row_33_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_34_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d08/namespacegraph__coloring.html" target="_self">graph_coloring</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Graph_coloring" target="_blank">Graph Coloring</a> algorithm, </td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d20/namespaceground__to__ground__projectile__motion.html" target="_self">ground_to_ground_projectile_motion</a></td><td class="desc">Functions for the Ground to ground <a href="https://en.wikipedia.org/wiki/Projectile_motion" target="_blank">projectile motion</a> equation </td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> implementation </td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </td></tr>
<tr id="row_38_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d6f/namespaceheavy__light__decomposition.html" target="_self">heavy_light_decomposition</a></td><td class="desc">Heavy light decomposition algorithm </td></tr>
<tr id="row_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm" target="_blank">Horspool's</a> algorithm </td></tr>
<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de1/namespacehouse__robber.html" target="_self">house_robber</a></td><td class="desc">Functions for the <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber</a> algorithm </td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d74/namespaceinorder__successor__of__bst.html" target="_self">inorder_successor_of_bst</a></td><td class="desc">Functions for the <a href="https://www.youtube.com/watch?v=5cPbNCrdotA" target="_blank">Inorder successor of a binary search tree</a> implementation </td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespaceinterpolation__search.html" target="_self">interpolation_search</a></td><td class="desc">Functions for the Recursive version of Inorder, Preorder, and Postorder <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm implementation </td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d13/namespaceinversion.html" target="_self">inversion</a></td><td class="desc">Functions for counting inversions using Merge Sort algorithm </td></tr>
<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d83/namespaceis__graph__bipartite.html" target="_self">is_graph_bipartite</a></td><td class="desc">Functions for checking whether a graph is bipartite or not </td></tr>
<tr id="row_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d73/namespaceiterative__tree__traversals.html" target="_self">iterative_tree_traversals</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm </td></tr>
<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm </td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm" target="_blank">Kadane</a> algorithm </td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d41/namespacekaratsuba__algorithm.html" target="_self">karatsuba_algorithm</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Karatsuba_algorithm" target="_blank">Karatsuba algorithm for fast multiplication</a> implementation </td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/daf/namespace_knapsack.html" target="_self">Knapsack</a></td><td class="desc">Implementation of 0-1 <a class="el" href="d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem </td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/db6/namespaceknight__tour.html" target="_self">knight_tour</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Knight%27s_tour" target="_blank">Knight's tour</a> algorithm </td></tr>
<tr id="row_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_52_" class="arrow" onclick="toggleFolder('52_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing" target="_blank">linear probing</a> algorithm </td></tr>
<tr id="row_52_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d19/structlinear__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dd1/namespacelinear__recurrence__matrix.html" target="_self">linear_recurrence_matrix</a></td><td class="desc">Functions for <a href="https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/" target="_blank">Linear Recurrence Matrix</a> implementation </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/db0/namespacelinked__list.html" target="_self">linked_list</a></td><td class="desc">Functions for singly linked list algorithm </td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array" target="_blank">Dynamic Array</a> algorithm </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcd/namespacelru__cache.html" target="_self">lru_cache</a></td><td class="desc">Implementation of the <a href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)" target="_blank">LRU caching algorithm</a> </td></tr>
<tr id="row_57_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_57_" class="arrow" onclick="toggleFolder('57_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> </td></tr>
<tr id="row_57_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d93/namespacemagic__sequence.html" target="_self">magic_sequence</a></td><td class="desc">Functions for the <a href="https://www.csplib.org/Problems/prob019/" target="_blank">Magic sequence</a> implementation </td></tr>
<tr id="row_59_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dc6/namespacemanacher.html" target="_self">manacher</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring" target="_blank">Manacher's Algorithm</a> implementation </td></tr>
<tr id="row_60_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_60_" class="arrow" onclick="toggleFolder('60_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_60_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d4f/structmath_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_61_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d43/namespace_m_d5.html" target="_self">MD5</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/MD5" target="_blank">MD5</a> algorithm implementation </td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search" target="_blank">Median search</a> algorithm </td></tr>
<tr id="row_63_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/daa/namespacemidpoint__rule.html" target="_self">midpoint_rule</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Midpoint_method" target="_blank">Midpoint Integral</a> method implementation </td></tr>
<tr id="row_65_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/" target="_blank">minimum coin exchange</a> problem </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_67_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> implementation </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
<tr id="row_69_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
<tr id="row_71_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle </td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_73_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html" target="_blank">nCr modulo p</a> implementation </td></tr>
<tr id="row_75_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For assert </td></tr>
<tr id="row_77_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_77_" class="arrow" onclick="toggleFolder('77_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_78_" class="arrow" onclick="toggleFolder('78_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_79_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting" target="_blank">Pancake sort</a> algorithm </td></tr>
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_84_" class="arrow" onclick="toggleFolder('84_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
<tr id="row_85_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_86_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_86_" class="arrow" onclick="toggleFolder('86_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing" target="_blank">quadratic probing</a> algorithm </td></tr>
<tr id="row_86_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_87_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for [<a class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort" target="_blank">Radix sort</a> algorithm </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_91_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_91_" class="arrow" onclick="toggleFolder('91_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_91_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_91_0_" class="arrow" onclick="toggleFolder('91_0_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_91_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
<tr id="row_30_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/da7/namespacefind__non__repeating__integer.html" target="_self">find_non_repeating_integer</a></td><td class="desc">Functions to find the non repeating integer in an array of repeating integers. <a href="https://leetcode.com/problems/single-number/" target="_blank">Single Number</a> </td></tr>
<tr id="row_31_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d8a/namespacegeometric__dist.html" target="_self">geometric_dist</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> algorithm implementation </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_32_" class="arrow" onclick="toggleFolder('32_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process" target="_blank">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_34_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_34_" class="arrow" onclick="toggleFolder('34_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dce/namespacegraph.html" target="_self">graph</a></td><td class="desc"><a class="el" href="dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms </td></tr>
<tr id="row_34_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d61/classgraph_1_1_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_34_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d69/classgraph_1_1_h_k_graph.html" target="_self">HKGraph</a></td><td class="desc">Represents Bipartite graph for Hopcroft Karp implementation </td></tr>
<tr id="row_34_2_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></td></tr>
<tr id="row_34_3_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d08/namespacegraph__coloring.html" target="_self">graph_coloring</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Graph_coloring" target="_blank">Graph Coloring</a> algorithm, </td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d90/namespacegreedy__algorithms.html" target="_self">greedy_algorithms</a></td><td class="desc">Greedy Algorithms </td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d20/namespaceground__to__ground__projectile__motion.html" target="_self">ground_to_ground_projectile_motion</a></td><td class="desc">Functions for the Ground to ground <a href="https://en.wikipedia.org/wiki/Projectile_motion" target="_blank">projectile motion</a> equation </td></tr>
<tr id="row_38_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> implementation </td></tr>
<tr id="row_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </td></tr>
<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d6f/namespaceheavy__light__decomposition.html" target="_self">heavy_light_decomposition</a></td><td class="desc">Heavy light decomposition algorithm </td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm" target="_blank">Horspool's</a> algorithm </td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de1/namespacehouse__robber.html" target="_self">house_robber</a></td><td class="desc">Functions for the <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber</a> algorithm </td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d74/namespaceinorder__successor__of__bst.html" target="_self">inorder_successor_of_bst</a></td><td class="desc">Functions for the <a href="https://www.youtube.com/watch?v=5cPbNCrdotA" target="_blank">Inorder successor of a binary search tree</a> implementation </td></tr>
<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespaceinterpolation__search.html" target="_self">interpolation_search</a></td><td class="desc">Functions for the Recursive version of Inorder, Preorder, and Postorder <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm implementation </td></tr>
<tr id="row_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d13/namespaceinversion.html" target="_self">inversion</a></td><td class="desc">Functions for counting inversions using Merge Sort algorithm </td></tr>
<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d83/namespaceis__graph__bipartite.html" target="_self">is_graph_bipartite</a></td><td class="desc">Functions for checking whether a graph is bipartite or not </td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d73/namespaceiterative__tree__traversals.html" target="_self">iterative_tree_traversals</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm </td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm </td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm" target="_blank">Kadane</a> algorithm </td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d41/namespacekaratsuba__algorithm.html" target="_self">karatsuba_algorithm</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Karatsuba_algorithm" target="_blank">Karatsuba algorithm for fast multiplication</a> implementation </td></tr>
<tr id="row_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/daf/namespace_knapsack.html" target="_self">Knapsack</a></td><td class="desc">Implementation of 0-1 <a class="el" href="d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem </td></tr>
<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/db6/namespaceknight__tour.html" target="_self">knight_tour</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Knight%27s_tour" target="_blank">Knight's tour</a> algorithm </td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_54_" class="arrow" onclick="toggleFolder('54_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing" target="_blank">linear probing</a> algorithm </td></tr>
<tr id="row_54_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="db/d19/structlinear__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dd1/namespacelinear__recurrence__matrix.html" target="_self">linear_recurrence_matrix</a></td><td class="desc">Functions for <a href="https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/" target="_blank">Linear Recurrence Matrix</a> implementation </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/db0/namespacelinked__list.html" target="_self">linked_list</a></td><td class="desc">Functions for singly linked list algorithm </td></tr>
<tr id="row_57_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array" target="_blank">Dynamic Array</a> algorithm </td></tr>
<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcd/namespacelru__cache.html" target="_self">lru_cache</a></td><td class="desc">Implementation of the <a href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)" target="_blank">LRU caching algorithm</a> </td></tr>
<tr id="row_59_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_59_" class="arrow" onclick="toggleFolder('59_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> </td></tr>
<tr id="row_59_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d6/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d93/namespacemagic__sequence.html" target="_self">magic_sequence</a></td><td class="desc">Functions for the <a href="https://www.csplib.org/Problems/prob019/" target="_blank">Magic sequence</a> implementation </td></tr>
<tr id="row_61_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dc6/namespacemanacher.html" target="_self">manacher</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring" target="_blank">Manacher's Algorithm</a> implementation </td></tr>
<tr id="row_62_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_62_" class="arrow" onclick="toggleFolder('62_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_62_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="de/d4f/structmath_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_63_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d43/namespace_m_d5.html" target="_self">MD5</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/MD5" target="_blank">MD5</a> algorithm implementation </td></tr>
<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search" target="_blank">Median search</a> algorithm </td></tr>
<tr id="row_65_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/daa/namespacemidpoint__rule.html" target="_self">midpoint_rule</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Midpoint_method" target="_blank">Midpoint Integral</a> method implementation </td></tr>
<tr id="row_67_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/" target="_blank">minimum coin exchange</a> problem </td></tr>
<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_69_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> implementation </td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
<tr id="row_71_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
<tr id="row_73_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_75_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html" target="_blank">nCr modulo p</a> implementation </td></tr>
<tr id="row_77_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For assert </td></tr>
<tr id="row_79_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_79_" class="arrow" onclick="toggleFolder('79_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_80_" class="arrow" onclick="toggleFolder('80_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting" target="_blank">Pancake sort</a> algorithm </td></tr>
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_85_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
<tr id="row_86_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_86_" class="arrow" onclick="toggleFolder('86_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
<tr id="row_87_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_88_" class="arrow" onclick="toggleFolder('88_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing" target="_blank">quadratic probing</a> algorithm </td></tr>
<tr id="row_88_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></td></tr>
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for [<a class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
<tr id="row_91_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort" target="_blank">Radix sort</a> algorithm </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_93_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_93_" class="arrow" onclick="toggleFolder('93_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_93_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_93_0_" class="arrow" onclick="toggleFolder('93_0_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/d28/classrange__queries_1_1per_seg_tree.html" target="_self">perSegTree</a></td><td class="desc">Range query here is range sum, but the code can be modified to make different queries like range max or min </td></tr>
<tr id="row_93_0_0_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d66/classrange__queries_1_1per_seg_tree_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze</a> algorithm </td></tr>
<tr id="row_93_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods" target="_blank">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array" target="_blank">Saddleback Algorithm</a> </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_96_" class="arrow" onclick="toggleFolder('96_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">For working with vectors </td></tr>
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
<tr id="row_106_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_106_" class="arrow" onclick="toggleFolder('106_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_106_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_106_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_107_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_107_" class="arrow" onclick="toggleFolder('107_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_107_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/d4/d0c/namespacestd_1_1chrono.html">chrono</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_107_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/de/d97/namespacestd_1_1experimental.html">experimental</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_107_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/db/da4/namespacestd_1_1regex__constants.html">regex_constants</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_107_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/da/d42/namespacestd_1_1rel__ops.html">rel_ops</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_107_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/d7/dbf/namespacestd_1_1this__thread.html">this_thread</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_107_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_107_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_107_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_107_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_107_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_107_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort" target="_blank">Strand Sort</a> algorithm </td></tr>
<tr id="row_109_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
<tr id="row_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
<tr id="row_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
<tr id="row_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> </td></tr>
<tr id="row_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
<tr id="row_119_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_120_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_121_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_122_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">vigenère cipher</a> algorithm </td></tr>
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d21/namespacewindowed__median.html" target="_self">windowed_median</a></td><td class="desc">Functions for the Windowed Median algorithm implementation </td></tr>
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/" target="_blank">Word Break</a> problem </td></tr>
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher" target="_blank">XOR cipher</a> algorithm </td></tr>
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods" target="_blank">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array" target="_blank">Saddleback Algorithm</a> </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_98_" class="arrow" onclick="toggleFolder('98_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/deb/namespaceshortest__common__supersequence.html" target="_self">shortest_common_supersequence</a></td><td class="desc">Shortest Common Super Sequence algorithm </td></tr>
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">For working with vectors </td></tr>
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_107_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
<tr id="row_108_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_108_" class="arrow" onclick="toggleFolder('108_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_108_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_108_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d8/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></td></tr>
<tr id="row_109_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_109_" class="arrow" onclick="toggleFolder('109_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_109_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/d4/d0c/namespacestd_1_1chrono.html">chrono</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_109_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/de/d97/namespacestd_1_1experimental.html">experimental</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_109_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/db/da4/namespacestd_1_1regex__constants.html">regex_constants</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_109_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/da/d42/namespacestd_1_1rel__ops.html">rel_ops</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_109_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="elRef" target="_blank" href="http://en.cppreference.com/w/d7/dbf/namespacestd_1_1this__thread.html">this_thread</a>&#160;[external]</td><td class="desc"></td></tr>
<tr id="row_109_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dfc/structstd_1_1is__arithmetic_3_01uint128__t_01_4.html" target="_self">is_arithmetic&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_109_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d6d/structstd_1_1is__arithmetic_3_01uint256__t_01_4.html" target="_self">is_arithmetic&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_109_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d2/dd4/structstd_1_1is__integral_3_01uint128__t_01_4.html" target="_self">is_integral&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_109_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d7/d47/structstd_1_1is__integral_3_01uint256__t_01_4.html" target="_self">is_integral&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_109_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="d5/d25/structstd_1_1is__unsigned_3_01uint128__t_01_4.html" target="_self">is_unsigned&lt; uint128_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_109_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="df/d99/structstd_1_1is__unsigned_3_01uint256__t_01_4.html" target="_self">is_unsigned&lt; uint256_t &gt;</a></td><td class="desc"></td></tr>
<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort" target="_blank">Strand Sort</a> algorithm </td></tr>
<tr id="row_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
<tr id="row_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
<tr id="row_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
<tr id="row_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
<tr id="row_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
<tr id="row_119_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> </td></tr>
<tr id="row_120_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
<tr id="row_121_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_122_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d17/namespaceutil__functions.html" target="_self">util_functions</a></td><td class="desc">Various utility functions used in Neural network </td></tr>
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">vigenère cipher</a> algorithm </td></tr>
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d21/namespacewindowed__median.html" target="_self">windowed_median</a></td><td class="desc">Functions for the Windowed Median algorithm implementation </td></tr>
<tr id="row_129_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/" target="_blank">Word Break</a> problem </td></tr>
<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher" target="_blank">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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