Documentation for 0ce5df0c21

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@@ -138,22 +138,22 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Hopcroft%E2%80%93Karp_algorithm">HopcroftKarp</a> algorithm. </p>
<p>The HopcroftKarp algorithm is an algorithm that takes as input a bipartite graph and produces as output a maximum cardinality matching, it runs in O(E√V) time in worst case.</p>
<h3><a class="anchor" id="autotoc_md58"></a>
<h3><a class="anchor" id="autotoc_md59"></a>
Bipartite graph</h3>
<p>A bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V. Vertex sets U and V are usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles.</p>
<h3><a class="anchor" id="autotoc_md59"></a>
<h3><a class="anchor" id="autotoc_md60"></a>
Matching and Not-Matching edges</h3>
<p>Given a matching M, edges that are part of matching are called Matching edges and edges that are not part of M (or connect free nodes) are called Not-Matching edges.</p>
<h3><a class="anchor" id="autotoc_md60"></a>
<h3><a class="anchor" id="autotoc_md61"></a>
Maximum cardinality matching</h3>
<p>Given a bipartite graphs G = ( V = ( X , Y ) , E ) whose partition has the parts X and Y, with E denoting the edges of the graph, the goal is to find a matching with as many edges as possible. Equivalently, a matching that covers as many vertices as possible.</p>
<h3><a class="anchor" id="autotoc_md61"></a>
<h3><a class="anchor" id="autotoc_md62"></a>
Augmenting paths</h3>
<p>Given a matching M, an augmenting path is an alternating path that starts from and ends on free vertices. All single edge paths that start and end with free vertices are augmenting paths.</p>
<h3><a class="anchor" id="autotoc_md62"></a>
<h3><a class="anchor" id="autotoc_md63"></a>
Concept</h3>
<p>A matching M is not maximum if there exists an augmenting path. It is also true other way, i.e, a matching is maximum if no augmenting path exists.</p>
<h3><a class="anchor" id="autotoc_md63"></a>
<h3><a class="anchor" id="autotoc_md64"></a>
Algorithm</h3>
<p>1) Initialize the Maximal Matching M as empty. 2) While there exists an Augmenting Path P Remove matching edges of P from M and add not-matching edges of P to M (This increases size of M by 1 as P starts and ends with a free vertex i.e. a node that is not part of matching.) 3) Return M.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Krishnapal4050">Krishna Pal Deora</a> </dd></dl>

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@@ -152,7 +152,7 @@ Functions</h2></td></tr>
<p>two elements a[i] and a[j] form an inversion if <code>a[i]</code> &gt; <code>a[j]</code> and i &lt; j</p>
<p>Time Complexity --&gt; <code>O(n.log n)</code></p>
<p>Space Complexity --&gt; <code>O(n)</code> ; additional array <code>temp[1..n]</code> </p>
<h3><a class="anchor" id="autotoc_md73"></a>
<h3><a class="anchor" id="autotoc_md74"></a>
Algorithm</h3>
<ol type="1">
<li>The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.</li>

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<p>Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation.
<a href="../../d4/d1c/namespacehamming__distance.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation. </p>
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@@ -126,7 +126,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation to check whether a number is a power of 2 or not. </p>
<p>This algorithm uses bit manipulation to check if a number is a power of 2 or not.</p>
<h3><a class="anchor" id="autotoc_md65"></a>
<h3><a class="anchor" id="autotoc_md66"></a>
Algorithm</h3>
<p>Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not</p>
<p>For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2 </p><dl class="section note"><dt>Note</dt><dd>This implementation is better than naive recursive or iterative approach.</dd></dl>

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<a href="#namespaces">Namespaces</a> &#124;
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<div class="title">hamming_distance.cpp File Reference</div> </div>
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<p>Returns the <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> between two integers.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for hamming_distance.cpp:</div>
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<tr class="memitem:d7/d81/namespacebit__manipulation"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a></td></tr>
<tr class="memdesc:d7/d81/namespacebit__manipulation"><td class="mdescLeft">&#160;</td><td class="mdescRight">for io operations <br /></td></tr>
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<tr class="memdesc:d4/d1c/namespacehamming__distance"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a65d845df3fecff7087a2126c7b72030b"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d48/hamming__distance_8cpp.html#a65d845df3fecff7087a2126c7b72030b">bit_manipulation::hamming_distance::bitCount</a> (uint64_t value)</td></tr>
<tr class="separator:a65d845df3fecff7087a2126c7b72030b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abfe6fbb2f3460a2623c96f283178a07a"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d48/hamming__distance_8cpp.html#abfe6fbb2f3460a2623c96f283178a07a">bit_manipulation::hamming_distance::hamming_distance</a> (uint64_t a, uint64_t b)</td></tr>
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<tr class="memitem:a40ba9fe8b5df5c268f0c7d677ff2fe80"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d48/hamming__distance_8cpp.html#a40ba9fe8b5df5c268f0c7d677ff2fe80">bit_manipulation::hamming_distance::hamming_distance</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;a, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;b)</td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to the test hamming distance. <a href="../../d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d48/hamming__distance_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d4/d48/hamming__distance_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Returns the <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> between two integers. </p>
<p>To find hamming distance between two integers, we take their xor, which will have a set bit iff those bits differ in the two numbers. Hence, we return the number of such set bits.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ravibitsgoa">Ravishankar Joshi</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a65d845df3fecff7087a2126c7b72030b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a65d845df3fecff7087a2126c7b72030b">&#9670;&nbsp;</a></span>bitCount()</h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::bitCount </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>value</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>This function returns the number of set bits in the given number. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">value</td><td>the number of which we want to count the number of set bits. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of set bits in the given number. </dd></dl>
<div class="fragment"><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; uint64_t count = 0;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="keywordflow">while</span> (value) { <span class="comment">// until all bits are zero</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordflow">if</span> (value &amp; 1) { <span class="comment">// check lower bit</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; count++;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; }</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; value &gt;&gt;= 1; <span class="comment">// shift bits, removing lower bit</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; }</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordflow">return</span> count;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a40ba9fe8b5df5c268f0c7d677ff2fe80">&#9670;&nbsp;</a></span>hamming_distance() <span class="overload">[1/2]</span></h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::hamming_distance </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<p>This function returns the hamming distance between two strings. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>the first string </td></tr>
<tr><td class="paramname">b</td><td>the second string </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of characters differing between the two strings. </dd></dl>
<div class="fragment"><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; assert(a.size() == b.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>());</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="keywordtype">size_t</span> n = a.size();</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; uint64_t count = 0;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; count += (b[i] != a[i]);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <span class="keywordflow">return</span> count;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#abfe6fbb2f3460a2623c96f283178a07a">&#9670;&nbsp;</a></span>hamming_distance() <span class="overload">[2/2]</span></h2>
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<td class="memname">uint64_t bit_manipulation::hamming_distance::hamming_distance </td>
<td>(</td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
</tr>
<tr>
<td></td>
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<p>This function returns the hamming distance between two integers. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>the first number </td></tr>
<tr><td class="paramname">b</td><td>the second number </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the number of bits differing between the two integers. </dd></dl>
<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;{ <span class="keywordflow">return</span> <a class="code" href="../../d4/d48/hamming__distance_8cpp.html#a65d845df3fecff7087a2126c7b72030b">bitCount</a>(a ^ b); }</div>
<div class="ttc" id="ahamming__distance_8cpp_html_a65d845df3fecff7087a2126c7b72030b"><div class="ttname"><a href="../../d4/d48/hamming__distance_8cpp.html#a65d845df3fecff7087a2126c7b72030b">bit_manipulation::hamming_distance::bitCount</a></div><div class="ttdeci">uint64_t bitCount(uint64_t value)</div><div class="ttdef"><b>Definition:</b> hamming_distance.cpp:34</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</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"><a name="l00099"></a><span class="lineno"> 99</span>&#160; {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <a class="code" href="../../d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; uint64_t a = 11; <span class="comment">// 1011 in binary</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; uint64_t b = 2; <span class="comment">// 0010 in binary</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Hamming distance between &quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot; and &quot;</span> &lt;&lt; b &lt;&lt; <span class="stringliteral">&quot; is &quot;</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; &lt;&lt; <a class="code" href="../../d4/d48/hamming__distance_8cpp.html#abfe6fbb2f3460a2623c96f283178a07a">bit_manipulation::hamming_distance::hamming_distance</a>(a, b)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;}</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="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="ahamming__distance_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Function to the test hamming distance.</div><div class="ttdef"><b>Definition:</b> hamming_distance.cpp:75</div></div>
<div class="ttc" id="ahamming__distance_8cpp_html_abfe6fbb2f3460a2623c96f283178a07a"><div class="ttname"><a href="../../d4/d48/hamming__distance_8cpp.html#abfe6fbb2f3460a2623c96f283178a07a">bit_manipulation::hamming_distance::hamming_distance</a></div><div class="ttdeci">uint64_t hamming_distance(uint64_t a, uint64_t b)</div><div class="ttdef"><b>Definition:</b> hamming_distance.cpp:51</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<td></td>
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<p>Function to the test hamming distance. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(11, 2) == 2);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(2, 0) == 1);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(11, 0) == 3);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;1101&quot;</span>,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="stringliteral">&quot;1111&quot;</span>) == 1);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;1111&quot;</span>,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="stringliteral">&quot;1111&quot;</span>) == 0);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;0000&quot;</span>,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="stringliteral">&quot;1111&quot;</span>) == 4);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;alpha&quot;</span>,</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="stringliteral">&quot;alphb&quot;</span>) == 1);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;abcd&quot;</span>,</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="stringliteral">&quot;abcd&quot;</span>) == 0);</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; assert(bit_manipulation::hamming_distance::hamming_distance(<span class="stringliteral">&quot;dcba&quot;</span>,</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="stringliteral">&quot;abcd&quot;</span>) == 4);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;}</div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarviss</a> algorithm. </p>
<p>Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.</p>
<h3><a class="anchor" id="autotoc_md56"></a>
<h3><a class="anchor" id="autotoc_md57"></a>
Algorithm</h3>
<p>The idea of Jarviss Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.</p>
<p>The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.</p>

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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process">Gram Schmidt Orthogonalisation Process</a> </p>
<p>Takes the input of Linearly Independent Vectors, returns vectors orthogonal to each other.</p>
<h3><a class="anchor" id="autotoc_md64"></a>
<h3><a class="anchor" id="autotoc_md65"></a>
Algorithm</h3>
<p>Take the first vector of given LI vectors as first vector of Orthogonal vectors. Take projection of second input vector on the first vector of Orthogonal vector and subtract it from the 2nd LI vector. Take projection of third vector on the second vector of Othogonal vectors and subtract it from the 3rd LI vector. Keep repeating the above process until all the vectors in the given input array are exhausted.</p>
<p>For Example: In R2, Input LI Vectors={(3,1),(2,2)} then Orthogonal Vectors= {(3, 1),(-0.4, 1.2)}</p>

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@@ -107,6 +107,11 @@ Backtracking</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/backtracking/sudoku_solve.cpp">Sudoku Solve</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md32"></a>
Bit Manipulation</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/bit_manipulation/hamming_distance.cpp">Hamming Distance</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md33"></a>
Ciphers</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/ciphers/caesar_cipher.cpp">Caesar Cipher</a></li>
@@ -115,7 +120,7 @@ Ciphers</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/ciphers/vigenere_cipher.cpp">Vigenere Cipher</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/ciphers/xor_cipher.cpp">Xor Cipher</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md33"></a>
<h1><a class="anchor" id="autotoc_md34"></a>
Data Structures</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structures/avltree.cpp">Avltree</a></li>
@@ -153,7 +158,7 @@ Data Structures</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structures/trie_modern.cpp">Trie Modern</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/data_structures/trie_tree.cpp">Trie Tree</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md34"></a>
<h1><a class="anchor" id="autotoc_md35"></a>
Dynamic Programming</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/dynamic_programming/0_1_knapsack.cpp">0 1 Knapsack</a></li>
@@ -181,13 +186,13 @@ Dynamic Programming</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/dynamic_programming/tree_height.cpp">Tree Height</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/dynamic_programming/word_break.cpp">Word Break</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md35"></a>
<h1><a class="anchor" id="autotoc_md36"></a>
Geometry</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/geometry/jarvis_algorithm.cpp">Jarvis Algorithm</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/geometry/line_segment_intersection.cpp">Line Segment Intersection</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md36"></a>
<h1><a class="anchor" id="autotoc_md37"></a>
Graph</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/bidirectional_dijkstra.cpp">Bidirectional Dijkstra</a></li>
@@ -210,12 +215,12 @@ Graph</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/topological_sort.cpp">Topological Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graph/topological_sort_by_kahns_algo.cpp">Topological Sort By Kahns Algo</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md37"></a>
<h1><a class="anchor" id="autotoc_md38"></a>
Graphics</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/graphics/spirograph.cpp">Spirograph</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md38"></a>
<h1><a class="anchor" id="autotoc_md39"></a>
Greedy Algorithms</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/dijkstra.cpp">Dijkstra</a></li>
@@ -225,7 +230,7 @@ Greedy Algorithms</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/kruskals_minimum_spanning_tree.cpp">Kruskals Minimum Spanning Tree</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/greedy_algorithms/prims_minimum_spanning_tree.cpp">Prims Minimum Spanning Tree</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md39"></a>
<h1><a class="anchor" id="autotoc_md40"></a>
Hashing</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/chaining.cpp">Chaining</a></li>
@@ -233,12 +238,12 @@ Hashing</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/linear_probing_hash_table.cpp">Linear Probing Hash Table</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/hashing/quadratic_probing_hash_table.cpp">Quadratic Probing Hash Table</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md40"></a>
<h1><a class="anchor" id="autotoc_md41"></a>
Linear Algebra</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/linear_algebra/gram_schmidt.cpp">Gram Schmidt</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md41"></a>
<h1><a class="anchor" id="autotoc_md42"></a>
Machine Learning</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/adaline_learning.cpp">Adaline Learning</a></li>
@@ -248,7 +253,7 @@ Machine Learning</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/ordinary_least_squares_regressor.cpp">Ordinary Least Squares Regressor</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/machine_learning/vector_ops.hpp">Vector Ops</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md42"></a>
<h1><a class="anchor" id="autotoc_md43"></a>
Math</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/armstrong_number.cpp">Armstrong Number</a></li>
@@ -296,7 +301,7 @@ Math</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/sum_of_digits.cpp">Sum Of Digits</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/math/vector_cross_product.cpp">Vector Cross Product</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md43"></a>
<h1><a class="anchor" id="autotoc_md44"></a>
Numerical Methods</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/bisection_method.cpp">Bisection Method</a></li>
@@ -317,7 +322,7 @@ Numerical Methods</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/rungekutta.cpp">Rungekutta</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/numerical_methods/successive_approximation.cpp">Successive Approximation</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md44"></a>
<h1><a class="anchor" id="autotoc_md45"></a>
Operations On Datastructures</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/array_left_rotation.cpp">Array Left Rotation</a></li>
@@ -330,7 +335,7 @@ Operations On Datastructures</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/selectionsortlinkedlist.cpp">Selectionsortlinkedlist</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/operations_on_datastructures/union_of_2_arrays.cpp">Union Of 2 Arrays</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md45"></a>
<h1><a class="anchor" id="autotoc_md46"></a>
Others</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/buzz_number.cpp">Buzz Number</a></li>
@@ -352,7 +357,7 @@ Others</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/tower_of_hanoi.cpp">Tower Of Hanoi</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/vector_important_functions.cpp">Vector Important Functions</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md46"></a>
<h1><a class="anchor" id="autotoc_md47"></a>
Probability</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/addition_rule.cpp">Addition Rule</a></li>
@@ -360,7 +365,7 @@ Probability</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/binomial_dist.cpp">Binomial Dist</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/probability/poisson_dist.cpp">Poisson Dist</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md47"></a>
<h1><a class="anchor" id="autotoc_md48"></a>
Range Queries</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/fenwick_tree.cpp">Fenwick Tree</a></li>
@@ -370,7 +375,7 @@ Range Queries</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/segtree.cpp">Segtree</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/range_queries/sparse_table.cpp">Sparse Table</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md48"></a>
<h1><a class="anchor" id="autotoc_md49"></a>
Search</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/binary_search.cpp">Binary Search</a></li>
@@ -386,7 +391,7 @@ Search</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/ternary_search.cpp">Ternary Search</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/search/text_search.cpp">Text Search</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md49"></a>
<h1><a class="anchor" id="autotoc_md50"></a>
Sorting</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/bead_sort.cpp">Bead Sort</a></li>
@@ -424,7 +429,7 @@ Sorting</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/tim_sort.cpp">Tim Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/wiggle_sort.cpp">Wiggle Sort</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md50"></a>
<h1><a class="anchor" id="autotoc_md51"></a>
Strings</h1>
<ul>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/strings/brute_force_string_searching.cpp">Brute Force String Searching</a></li>

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@@ -136,7 +136,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Bogosort">Bogosort algorithm</a> </p>
<p>In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.</p>
<h3><a class="anchor" id="autotoc_md72"></a>
<h3><a class="anchor" id="autotoc_md73"></a>
Algorithm</h3>
<p>Shuffle the array untill array is sorted.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/imdeep2905">Deep Raval</a> </dd></dl>

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@@ -136,7 +136,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of cutting a rod problem. </p>
<p>Given a rod of length n inches and an array of prices that contains prices of all pieces of size&lt;=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.</p>
<h3><a class="anchor" id="autotoc_md54"></a>
<h3><a class="anchor" id="autotoc_md55"></a>
Algorithm</h3>
<p>The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Anmol3299">Anmol</a> </dd>

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<p>for io operations
<a href="../../d7/d81/namespacebit__manipulation.html#details">More...</a></p>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>for io operations </p>
<p>for assert</p>
<p>Bit Manipulation algorithms </p>
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@@ -156,7 +156,7 @@ uint32_t&#160;</td><td class="memItemRight" valign="bottom"><b>graph::disjoint_u
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Disjoint_union">Disjoint union</a> </p>
<p>The Disjoint union is the technique to find connected component in graph efficiently.</p>
<h3><a class="anchor" id="autotoc_md57"></a>
<h3><a class="anchor" id="autotoc_md58"></a>
Algorithm</h3>
<p>In <a class="el" href="../../da/d9a/class_graph.html">Graph</a>, if you have to find out the number of connected components, there are 2 options</p><ol type="1">
<li>Depth first search</li>

View File

@@ -136,7 +136,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Knapsack_problem">0-1 Knapsack Problem</a> </p>
<p>Given weights and values of n items, put these items in a knapsack of capacity <code>W</code> to get the maximum total value in the knapsack. In other words, given two integer arrays <code>val[0..n-1]</code> and <code>wt[0..n-1]</code> which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of <code>val[]</code> such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or dont pick it (0-1 property)</p>
<h3><a class="anchor" id="autotoc_md51"></a>
<h3><a class="anchor" id="autotoc_md52"></a>
Algorithm</h3>
<p>The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than <code>W</code>. From all such subsets, pick the maximum value subset.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Anmol3299">Anmol</a> </dd>

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@@ -132,7 +132,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane Algorithm</a> </p>
<p>Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum</p>
<h3><a class="anchor" id="autotoc_md55"></a>
<h3><a class="anchor" id="autotoc_md56"></a>
Algorithm</h3>
<p>The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/ayush523">Ayush Singh</a> </dd></dl>

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@@ -145,7 +145,7 @@ Functions</h2></td></tr>
</div><!-- fragment --><p>The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)</p>
<p>Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, <a class="el" href="../../df/d66/vector__cross__product_8cpp.html#abed307975124243d63fe2e118254defe" title="Function to calculate the cross product of the passed arrays containing the direction ratios of the t...">cross()</a> for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.</p>
<p>Magnitude of a vector is the square root of the sum of the squares of the direction ratios.</p>
<h3><a class="anchor" id="autotoc_md66"></a>
<h3><a class="anchor" id="autotoc_md67"></a>
Example:</h3>
<p>An example of a running instance of the executable program: </p><pre class="fragment">Pass the first Vector: 1 2 3
</pre><p> Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847</p>

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<tr id="row_11_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html" target="_self">extended_euclid_algorithm.cpp</a></td><td class="desc">GCD using <a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">extended Euclid's algorithm</a> </td></tr>
<tr id="row_11_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_11_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
<tr id="row_11_11_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d89/fibonacci_8cpp.html" target="_self">fibonacci.cpp</a></td><td class="desc">Generate fibonacci sequence </td></tr>
<tr id="row_11_12_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
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<tr id="row_11_14_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_11_15_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_11_16_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_11_17_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_11_18_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_11_19_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_11_20_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_11_21_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_11_22_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) </td></tr>
<tr id="row_11_23_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d21/least__common__multiple_8cpp.html" target="_self">least_common_multiple.cpp</a></td><td class="desc"></td></tr>
<tr id="row_11_24_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d44/magic__number_8cpp.html" target="_self">magic_number.cpp</a></td><td class="desc">A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number </td></tr>
<tr id="row_11_25_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d42/miller__rabin_8cpp.html" target="_self">miller_rabin.cpp</a></td><td class="desc"></td></tr>
<tr id="row_11_26_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d72/modular__division_8cpp.html" target="_self">modular_division.cpp</a></td><td class="desc">An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> </td></tr>
<tr id="row_11_27_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </td></tr>
<tr id="row_11_28_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" target="_self">modular_inverse_fermat_little_theorem.cpp</a></td><td class="desc">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> </td></tr>
<tr id="row_11_29_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dbb/n__choose__r_8cpp.html" target="_self">n_choose_r.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation </td></tr>
<tr id="row_11_30_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dab/ncr__modulo__p_8cpp.html" target="_self">ncr_modulo_p.cpp</a></td><td class="desc">This program aims at calculating <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> </td></tr>
<tr id="row_11_31_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html" target="_self">number_of_positive_divisors.cpp</a></td><td class="desc">C++ Program to calculate the number of positive divisors </td></tr>
<tr id="row_11_32_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_11_33_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d38/power__of__two_8cpp.html" target="_self">power_of_two.cpp</a></td><td class="desc">Implementation to check whether a number is a power of 2 or not </td></tr>
<tr id="row_11_34_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d0d/prime__factorization_8cpp.html" target="_self">prime_factorization.cpp</a></td><td class="desc">Prime factorization of positive integers </td></tr>
<tr id="row_11_35_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d9b/prime__numbers_8cpp.html" target="_self">prime_numbers.cpp</a></td><td class="desc">Get list of prime numbers </td></tr>
<tr id="row_11_36_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html" target="_self">primes_up_to_billion.cpp</a></td><td class="desc">Compute prime numbers upto 1 billion </td></tr>
<tr id="row_11_37_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d08/realtime__stats_8cpp.html" target="_self">realtime_stats.cpp</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
<tr id="row_11_38_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html" target="_self">sieve_of_eratosthenes.cpp</a></td><td class="desc">Get list of prime numbers using Sieve of Eratosthenes </td></tr>
<tr id="row_11_39_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d24/sqrt__double_8cpp.html" target="_self">sqrt_double.cpp</a></td><td class="desc">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding </td></tr>
<tr id="row_11_40_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d47/string__fibonacci_8cpp.html" target="_self">string_fibonacci.cpp</a></td><td class="desc">This Programme returns the Nth fibonacci as a string </td></tr>
<tr id="row_11_41_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html" target="_self">sum_of_binomial_coefficient.cpp</a></td><td class="desc">Algorithm to find sum of binomial coefficients of a given positive integer </td></tr>
<tr id="row_11_42_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
<tr id="row_11_43_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d66/vector__cross__product_8cpp.html" target="_self">vector_cross_product.cpp</a></td><td class="desc">Calculates the <a href="https://en.wikipedia.org/wiki/Cross_product">Cross Product</a> and the magnitude of two mathematical 3D vectors </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 id="img_12_" class="iconfclosed" onclick="toggleFolder('12_')">&#160;</span><a class="el" href="dir_9c6faab82c22511b50177aa2e38e2780.html" target="_self">numerical_methods</a></td><td class="desc"></td></tr>
<tr id="row_12_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d6a/bisection__method_8cpp.html" target="_self">bisection_method.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> </td></tr>
<tr id="row_12_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d01/brent__method__extrema_8cpp.html" target="_self">brent_method_extrema.cpp</a></td><td class="desc">Find real extrema of a univariate real function in a given interval using <a href="https://en.wikipedia.org/wiki/Brent%27s_method">Brent's method</a> </td></tr>
<tr id="row_12_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/df2/durand__kerner__roots_8cpp.html" target="_self">durand_kerner_roots.cpp</a></td><td class="desc">Compute all possible approximate roots of any given polynomial using <a href="https://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method">Durand Kerner algorithm</a> </td></tr>
<tr id="row_12_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d29/false__position_8cpp.html" target="_self">false_position.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Regula_falsi">false position method</a>, also known as the Secant method </td></tr>
<tr id="row_12_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/de2/gaussian__elimination_8cpp.html" target="_self">gaussian_elimination.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a> </td></tr>
<tr id="row_12_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d7a/golden__search__extrema_8cpp.html" target="_self">golden_search_extrema.cpp</a></td><td class="desc">Find extrema of a univariate real function in a given interval using <a href="https://en.wikipedia.org/wiki/Golden-section_search">golden section search algorithm</a> </td></tr>
<tr id="row_12_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d65/lu__decompose_8cpp.html" target="_self">lu_decompose.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </td></tr>
<tr id="row_12_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d1/dbe/lu__decomposition_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d1/dbe/lu__decomposition_8h.html" target="_self">lu_decomposition.h</a></td><td class="desc">Functions associated with <a href="https://en.wikipedia.org/wiki/LU_decomposition">LU Decomposition</a> of a square matrix </td></tr>
<tr id="row_12_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dd3/newton__raphson__method_8cpp.html" target="_self">newton_raphson_method.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Newton%27s_method">Newton-Raphson method</a> for both real and complex solutions </td></tr>
<tr id="row_12_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/dd3/ode__forward__euler_8cpp.html" target="_self">ode_forward_euler.cpp</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Numerical_methods_for_ordinary_differential_equations#Euler_method">forward Euler method</a> </td></tr>
<tr id="row_12_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/dd3/ode__midpoint__euler_8cpp.html" target="_self">ode_midpoint_euler.cpp</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Midpoint_method">midpoint Euler method</a> </td></tr>
<tr id="row_12_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d06/ode__semi__implicit__euler_8cpp.html" target="_self">ode_semi_implicit_euler.cpp</a></td><td class="desc">Solve a multivariable first order <a href="https://en.wikipedia.org/wiki/Ordinary_differential_equation">ordinary differential equation (ODEs)</a> using <a href="https://en.wikipedia.org/wiki/Semi-implicit_Euler_method">semi implicit Euler method</a> </td></tr>
<tr id="row_12_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d68/qr__decompose_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d68/qr__decompose_8h.html" target="_self">qr_decompose.h</a></td><td class="desc">Library functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
<tr id="row_12_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d24/qr__decomposition_8cpp.html" target="_self">qr_decomposition.cpp</a></td><td class="desc">Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
<tr id="row_12_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d75/qr__eigen__values_8cpp.html" target="_self">qr_eigen_values.cpp</a></td><td class="desc">Compute real eigen values and eigen vectors of a symmetric matrix using <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> method </td></tr>
<tr id="row_12_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/da6/rungekutta_8cpp.html" target="_self">rungekutta.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method implementation </td></tr>
<tr id="row_12_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dc8/successive__approximation_8cpp.html" target="_self">successive_approximation.cpp</a></td><td class="desc">Method of successive approximations using <a href="https://en.wikipedia.org/wiki/Fixed-point_iteration">fixed-point iteration</a> method </td></tr>
<tr id="row_13_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_13_" class="arrow" onclick="toggleFolder('13_')">&#9658;</span><span id="img_13_" class="iconfclosed" onclick="toggleFolder('13_')">&#160;</span><a class="el" href="dir_9510827d0b234b3cc54b29892f217477.html" target="_self">others</a></td><td class="desc"></td></tr>
<tr id="row_13_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d76/buzz__number_8cpp.html" target="_self">buzz_number.cpp</a></td><td class="desc">A buzz number is a number that is either divisible by 7 or has last digit as 7 </td></tr>
<tr id="row_13_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d06/decimal__to__binary_8cpp.html" target="_self">decimal_to_binary.cpp</a></td><td class="desc">Function to convert decimal number to binary representation </td></tr>
<tr id="row_13_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/de7/decimal__to__hexadecimal_8cpp.html" target="_self">decimal_to_hexadecimal.cpp</a></td><td class="desc">Convert decimal number to hexadecimal representation </td></tr>
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<tr id="row_14_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d67/bayes__theorem_8cpp.html" target="_self">bayes_theorem.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem">Bayes' theorem</a> </td></tr>
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<tr id="row_14_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d24/poisson__dist_8cpp.html" target="_self">poisson_dist.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Poisson_distribution">Poisson statistics</a> </td></tr>
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<tr id="row_16_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_16_" class="arrow" onclick="toggleFolder('16_')">&#9658;</span><span id="img_16_" class="iconfclosed" onclick="toggleFolder('16_')">&#160;</span><a class="el" href="dir_19b2bf9199a15c634a08b1ede1dd896a.html" target="_self">search</a></td><td class="desc"></td></tr>
<tr id="row_16_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dd5/binary__search_8cpp.html" target="_self">binary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binary_search_algorithm">Binary search algorithm</a> </td></tr>
<tr id="row_16_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d8a/exponential__search_8cpp.html" target="_self">exponential_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Exponential_search">Exponential search algorithm</a> </td></tr>
<tr id="row_16_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d0d/fibonacci__search_8cpp.html" target="_self">fibonacci_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique">Fibonacci search algorithm</a> </td></tr>
<tr id="row_16_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/df3/hash__search_8cpp.html" target="_self">hash_search.cpp</a></td><td class="desc">Hash Search Algorithm - Best Time Complexity Ω(1) </td></tr>
<tr id="row_16_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dd7/interpolation__search_8cpp.html" target="_self">interpolation_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_16_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d39/interpolation__search2_8cpp.html" target="_self">interpolation_search2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_16_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d22/jump__search_8cpp.html" target="_self">jump_search.cpp</a></td><td class="desc">C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search">Jump Search</a> </td></tr>
<tr id="row_16_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d02/linear__search_8cpp.html" target="_self">linear_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Linear_search">Linear search algorithm</a> </td></tr>
<tr id="row_16_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d69/median__search_8cpp.html" target="_self">median_search.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Median_of_medians">Median search</a> algorithm. @cases from <a href="https://brilliant.org/wiki/median-finding-algorithm/">here</a> </td></tr>
<tr id="row_16_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d22/saddleback__search_8cpp.html" target="_self">saddleback_search.cpp</a></td><td class="desc">Implementation of <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> for 2D arrays </td></tr>
<tr id="row_16_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dfe/ternary__search_8cpp.html" target="_self">ternary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Ternary_search">Ternary search</a> algorithm </td></tr>
<tr id="row_16_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/db5/text__search_8cpp.html" target="_self">text_search.cpp</a></td><td class="desc">Search for words in a long textual paragraph </td></tr>
<tr id="row_17_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="toggleFolder('17_')">&#9658;</span><span id="img_17_" class="iconfclosed" onclick="toggleFolder('17_')">&#160;</span><a class="el" href="dir_bb1b521853a9c46347182a9d10420771.html" target="_self">sorting</a></td><td class="desc"></td></tr>
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<tr id="row_17_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d13/bubble__sort_8cpp.html" target="_self">bubble_sort.cpp</a></td><td class="desc">Bubble sort algorithm </td></tr>
<tr id="row_17_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dfd/comb__sort_8cpp.html" target="_self">comb_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Comb_sort">Comb Sort Algorithm (Comb Sort)</a> </td></tr>
<tr id="row_17_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d26/count__inversions_8cpp.html" target="_self">count_inversions.cpp</a></td><td class="desc">Counting Inversions using <a href="https://en.wikipedia.org/wiki/Merge_sort">Merge Sort</a> </td></tr>
<tr id="row_17_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d07/cycle__sort_8cpp.html" target="_self">cycle_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Cycle_sort">Cycle sort</a> algorithm </td></tr>
<tr id="row_17_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d21/gnome__sort_8cpp.html" target="_self">gnome_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Gnome_sort">gnome sort</a> algorithm </td></tr>
<tr id="row_17_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d52/heap__sort_8cpp.html" target="_self">heap_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Heapsort">Heap Sort Algorithm (heap sort)</a> implementation </td></tr>
<tr id="row_17_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d0d/insertion__sort_8cpp.html" target="_self">insertion_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Insertion_sort">Insertion Sort Algorithm (Insertion Sort)</a> </td></tr>
<tr id="row_17_8_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d7b/merge__insertion__sort_8cpp.html" target="_self">merge_insertion_sort.cpp</a></td><td class="desc">Algorithm that combines insertion sort and merge sort. <a href="https://en.wikipedia.org/wiki/Merge-insertion_sort">Wiki link</a> </td></tr>
<tr id="row_17_9_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/df4/merge__sort_8cpp.html" target="_self">merge_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Merge_sort">Merege Sort Algorithm (MEREGE SORT)</a> implementation </td></tr>
<tr id="row_17_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/db6/non__recursive__merge__sort_8cpp.html" target="_self">non_recursive_merge_sort.cpp</a></td><td class="desc"></td></tr>
<tr id="row_17_11_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d92/pancake__sort_8cpp.html" target="_self">pancake_sort.cpp</a></td><td class="desc">Pancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips </td></tr>
<tr id="row_17_12_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/da8/pigeonhole__sort_8cpp.html" target="_self">pigeonhole_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Pigeonhole_sort">Pigeonhole Sort algorithm</a> </td></tr>
<tr id="row_17_13_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d21/quick__sort_8cpp.html" target="_self">quick_sort.cpp</a></td><td class="desc">Quick sort algorithm </td></tr>
<tr id="row_17_14_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d4c/quick__sort__3_8cpp.html" target="_self">quick_sort_3.cpp</a></td><td class="desc">Implementation Details </td></tr>
<tr id="row_17_15_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d61/radix__sort2_8cpp.html" target="_self">radix_sort2.cpp</a></td><td class="desc">Algorithm of <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> </td></tr>
<tr id="row_17_16_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d7a/shell__sort2_8cpp.html" target="_self">shell_sort2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Shell_sort">Shell sort</a> algorithm </td></tr>
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<tr id="row_17_18_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dcc/wiggle__sort_8cpp.html" target="_self">wiggle_sort.cpp</a></td><td class="desc"><a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort Algorithm</a> Implementation </td></tr>
<tr id="row_18_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_18_" class="arrow" onclick="toggleFolder('18_')">&#9658;</span><span id="img_18_" class="iconfclosed" onclick="toggleFolder('18_')">&#160;</span><a class="el" href="dir_73a3cc5065b223eb41b02873c0e19f0e.html" target="_self">strings</a></td><td class="desc"></td></tr>
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<tr id="row_10_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d33/gram__schmidt_8cpp.html" target="_self">gram_schmidt.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_11_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span id="img_11_" class="iconfclosed" onclick="toggleFolder('11_')">&#160;</span><a class="el" href="dir_3343723ae086de42ee4ca9774da3a13f.html" target="_self">machine_learning</a></td><td class="desc"></td></tr>
<tr id="row_11_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/db0/adaline__learning_8cpp.html" target="_self">adaline_learning.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/ADALINE">Adaptive Linear Neuron (ADALINE)</a> implementation </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="icondoc"></span><a class="el" href="d4/def/kohonen__som__topology_8cpp.html" target="_self">kohonen_som_topology.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Self-organizing_map">Kohonen self organizing map</a> (topological map) </td></tr>
<tr id="row_11_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d49/kohonen__som__trace_8cpp.html" target="_self">kohonen_som_trace.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Self-organizing_map">Kohonen self organizing map</a> (data tracing) </td></tr>
<tr id="row_11_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d58/neural__network_8cpp.html" target="_self">neural_network.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron">Multilayer Perceptron</a> </td></tr>
<tr id="row_11_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html" target="_self">ordinary_least_squares_regressor.cpp</a></td><td class="desc">Linear regression example using <a href="https://en.wikipedia.org/wiki/Ordinary_least_squares">Ordinary least squares</a> </td></tr>
<tr id="row_11_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d8/d95/vector__ops_8hpp_source.html"><span class="icondoc"></span></a><a class="el" href="d8/d95/vector__ops_8hpp.html" target="_self">vector_ops.hpp</a></td><td class="desc">Various functions for vectors associated with &lt;a href="https://en.wikipedia.org/wiki/Multilayer_perceptron" </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 id="img_12_" class="iconfclosed" onclick="toggleFolder('12_')">&#160;</span><a class="el" href="dir_296d53ceaeaa7e099814a6def439fe8a.html" target="_self">math</a></td><td class="desc"></td></tr>
<tr id="row_12_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html" target="_self">armstrong_number.cpp</a></td><td class="desc">Program to check if a number is an <a href="https://en.wikipedia.org/wiki/Narcissistic_number">Armstrong/Narcissistic number</a> in decimal system </td></tr>
<tr id="row_12_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dcf/binary__exponent_8cpp.html" target="_self">binary_exponent.cpp</a></td><td class="desc">C++ Program to find Binary Exponent Iteratively and Recursively </td></tr>
<tr id="row_12_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/df6/check__amicable__pair_8cpp.html" target="_self">check_amicable_pair.cpp</a></td><td class="desc">A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers">amicable pair</a> or not </td></tr>
<tr id="row_12_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/dd5/check__factorial_8cpp.html" target="_self">check_factorial.cpp</a></td><td class="desc">A simple program to check if the given number is a factorial of some number or not </td></tr>
<tr id="row_12_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d93/check__prime_8cpp.html" target="_self">check_prime.cpp</a></td><td class="desc">Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is &lt;= 1 or if it is even except 2, break the loop and return false telling number is not prime </td></tr>
<tr id="row_12_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d67/complex__numbers_8cpp.html" target="_self">complex_numbers.cpp</a></td><td class="desc">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects </td></tr>
<tr id="row_12_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d89/double__factorial_8cpp.html" target="_self">double_factorial.cpp</a></td><td class="desc">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial">double factorial</a>: \(n!!\) </td></tr>
<tr id="row_12_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d23/eulers__totient__function_8cpp.html" target="_self">eulers_totient_function.cpp</a></td><td class="desc">C++ Program to find <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function">Euler's Totient</a> function </td></tr>
<tr id="row_12_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html" target="_self">extended_euclid_algorithm.cpp</a></td><td class="desc">GCD using <a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">extended Euclid's algorithm</a> </td></tr>
<tr id="row_12_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d00/factorial_8cpp.html" target="_self">factorial.cpp</a></td><td class="desc">C++ program to find factorial of given number </td></tr>
<tr id="row_12_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d0b/fast__power_8cpp.html" target="_self">fast_power.cpp</a></td><td class="desc">Faster computation for \(a^b\) </td></tr>
<tr id="row_12_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d89/fibonacci_8cpp.html" target="_self">fibonacci.cpp</a></td><td class="desc">Generate fibonacci sequence </td></tr>
<tr id="row_12_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d32/fibonacci__fast_8cpp.html" target="_self">fibonacci_fast.cpp</a></td><td class="desc">Faster computation of Fibonacci series </td></tr>
<tr id="row_12_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/de4/fibonacci__large_8cpp.html" target="_self">fibonacci_large.cpp</a></td><td class="desc">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations </td></tr>
<tr id="row_12_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/dc9/fibonacci__matrix__exponentiation_8cpp.html" target="_self">fibonacci_matrix_exponentiation.cpp</a></td><td class="desc">This program computes the N^th Fibonacci number in modulo mod input argument </td></tr>
<tr id="row_12_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dc3/fibonacci__sum_8cpp.html" target="_self">fibonacci_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of <a href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci Sequence</a>: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) </td></tr>
<tr id="row_12_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html" target="_self">gcd_iterative_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_17_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html" target="_self">gcd_of_n_numbers.cpp</a></td><td class="desc">This program aims at calculating the GCD of n numbers by division method </td></tr>
<tr id="row_12_18_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html" target="_self">gcd_recursive_euclidean.cpp</a></td><td class="desc">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> </td></tr>
<tr id="row_12_19_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d9d/large__factorial_8cpp.html" target="_self">large_factorial.cpp</a></td><td class="desc">Compute factorial of any arbitratily large number/ </td></tr>
<tr id="row_12_20_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d4/d86/large__number_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d4/d86/large__number_8h.html" target="_self">large_number.h</a></td><td class="desc">Library to perform arithmatic operations on arbitrarily large numbers </td></tr>
<tr id="row_12_21_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d7a/largest__power_8cpp.html" target="_self">largest_power.cpp</a></td><td class="desc">Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula </td></tr>
<tr id="row_12_22_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d83/lcm__sum_8cpp.html" target="_self">lcm_sum.cpp</a></td><td class="desc">An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) </td></tr>
<tr id="row_12_23_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d21/least__common__multiple_8cpp.html" target="_self">least_common_multiple.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_24_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d44/magic__number_8cpp.html" target="_self">magic_number.cpp</a></td><td class="desc">A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number </td></tr>
<tr id="row_12_25_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d42/miller__rabin_8cpp.html" target="_self">miller_rabin.cpp</a></td><td class="desc"></td></tr>
<tr id="row_12_26_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d72/modular__division_8cpp.html" target="_self">modular_division.cpp</a></td><td class="desc">An algorithm to divide two numbers under modulo p <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> </td></tr>
<tr id="row_12_27_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d6d/modular__exponentiation_8cpp.html" target="_self">modular_exponentiation.cpp</a></td><td class="desc">C++ Program for Modular Exponentiation Iteratively </td></tr>
<tr id="row_12_28_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html" target="_self">modular_inverse_fermat_little_theorem.cpp</a></td><td class="desc">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> </td></tr>
<tr id="row_12_29_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dbb/n__choose__r_8cpp.html" target="_self">n_choose_r.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation </td></tr>
<tr id="row_12_30_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/dab/ncr__modulo__p_8cpp.html" target="_self">ncr_modulo_p.cpp</a></td><td class="desc">This program aims at calculating <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> </td></tr>
<tr id="row_12_31_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html" target="_self">number_of_positive_divisors.cpp</a></td><td class="desc">C++ Program to calculate the number of positive divisors </td></tr>
<tr id="row_12_32_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/def/power__for__huge__numbers_8cpp.html" target="_self">power_for_huge_numbers.cpp</a></td><td class="desc">Compute powers of large numbers </td></tr>
<tr id="row_12_33_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d38/power__of__two_8cpp.html" target="_self">power_of_two.cpp</a></td><td class="desc">Implementation to check whether a number is a power of 2 or not </td></tr>
<tr id="row_12_34_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d0d/prime__factorization_8cpp.html" target="_self">prime_factorization.cpp</a></td><td class="desc">Prime factorization of positive integers </td></tr>
<tr id="row_12_35_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d9b/prime__numbers_8cpp.html" target="_self">prime_numbers.cpp</a></td><td class="desc">Get list of prime numbers </td></tr>
<tr id="row_12_36_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html" target="_self">primes_up_to_billion.cpp</a></td><td class="desc">Compute prime numbers upto 1 billion </td></tr>
<tr id="row_12_37_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d08/realtime__stats_8cpp.html" target="_self">realtime_stats.cpp</a></td><td class="desc">Compute statistics for data entered in rreal-time </td></tr>
<tr id="row_12_38_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html" target="_self">sieve_of_eratosthenes.cpp</a></td><td class="desc">Get list of prime numbers using Sieve of Eratosthenes </td></tr>
<tr id="row_12_39_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d24/sqrt__double_8cpp.html" target="_self">sqrt_double.cpp</a></td><td class="desc">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding </td></tr>
<tr id="row_12_40_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d47/string__fibonacci_8cpp.html" target="_self">string_fibonacci.cpp</a></td><td class="desc">This Programme returns the Nth fibonacci as a string </td></tr>
<tr id="row_12_41_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d9d/sum__of__binomial__coefficient_8cpp.html" target="_self">sum_of_binomial_coefficient.cpp</a></td><td class="desc">Algorithm to find sum of binomial coefficients of a given positive integer </td></tr>
<tr id="row_12_42_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d83/sum__of__digits_8cpp.html" target="_self">sum_of_digits.cpp</a></td><td class="desc">A C++ Program to find the Sum of Digits of input integer </td></tr>
<tr id="row_12_43_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d66/vector__cross__product_8cpp.html" target="_self">vector_cross_product.cpp</a></td><td class="desc">Calculates the <a href="https://en.wikipedia.org/wiki/Cross_product">Cross Product</a> and the magnitude of two mathematical 3D vectors </td></tr>
<tr id="row_13_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_13_" class="arrow" onclick="toggleFolder('13_')">&#9658;</span><span id="img_13_" class="iconfclosed" onclick="toggleFolder('13_')">&#160;</span><a class="el" href="dir_9c6faab82c22511b50177aa2e38e2780.html" target="_self">numerical_methods</a></td><td class="desc"></td></tr>
<tr id="row_13_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d6a/bisection__method_8cpp.html" target="_self">bisection_method.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> </td></tr>
<tr id="row_13_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d01/brent__method__extrema_8cpp.html" target="_self">brent_method_extrema.cpp</a></td><td class="desc">Find real extrema of a univariate real function in a given interval using <a href="https://en.wikipedia.org/wiki/Brent%27s_method">Brent's method</a> </td></tr>
<tr id="row_13_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/df2/durand__kerner__roots_8cpp.html" target="_self">durand_kerner_roots.cpp</a></td><td class="desc">Compute all possible approximate roots of any given polynomial using <a href="https://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method">Durand Kerner algorithm</a> </td></tr>
<tr id="row_13_3_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d29/false__position_8cpp.html" target="_self">false_position.cpp</a></td><td class="desc">Solve the equation \(f(x)=0\) using <a href="https://en.wikipedia.org/wiki/Regula_falsi">false position method</a>, also known as the Secant method </td></tr>
<tr id="row_13_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/de2/gaussian__elimination_8cpp.html" target="_self">gaussian_elimination.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Gaussian_elimination">Gaussian elimination method</a> </td></tr>
<tr id="row_13_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d7a/golden__search__extrema_8cpp.html" target="_self">golden_search_extrema.cpp</a></td><td class="desc">Find extrema of a univariate real function in a given interval using <a href="https://en.wikipedia.org/wiki/Golden-section_search">golden section search algorithm</a> </td></tr>
<tr id="row_13_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d65/lu__decompose_8cpp.html" target="_self">lu_decompose.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/LU_decompositon">LU decomposition</a> of a square matrix </td></tr>
<tr id="row_13_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><a href="d1/dbe/lu__decomposition_8h_source.html"><span class="icondoc"></span></a><a class="el" href="d1/dbe/lu__decomposition_8h.html" target="_self">lu_decomposition.h</a></td><td class="desc">Functions associated with <a href="https://en.wikipedia.org/wiki/LU_decomposition">LU Decomposition</a> of a square matrix </td></tr>
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<tr id="row_13_13_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d24/qr__decomposition_8cpp.html" target="_self">qr_decomposition.cpp</a></td><td class="desc">Program to compute the <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of a given matrix </td></tr>
<tr id="row_13_14_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d75/qr__eigen__values_8cpp.html" target="_self">qr_eigen_values.cpp</a></td><td class="desc">Compute real eigen values and eigen vectors of a symmetric matrix using <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> method </td></tr>
<tr id="row_13_15_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/da6/rungekutta_8cpp.html" target="_self">rungekutta.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method implementation </td></tr>
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<tr id="row_14_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_14_" class="arrow" onclick="toggleFolder('14_')">&#9658;</span><span id="img_14_" class="iconfclosed" onclick="toggleFolder('14_')">&#160;</span><a class="el" href="dir_9510827d0b234b3cc54b29892f217477.html" target="_self">others</a></td><td class="desc"></td></tr>
<tr id="row_14_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d76/buzz__number_8cpp.html" target="_self">buzz_number.cpp</a></td><td class="desc">A buzz number is a number that is either divisible by 7 or has last digit as 7 </td></tr>
<tr id="row_14_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d06/decimal__to__binary_8cpp.html" target="_self">decimal_to_binary.cpp</a></td><td class="desc">Function to convert decimal number to binary representation </td></tr>
<tr id="row_14_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/de7/decimal__to__hexadecimal_8cpp.html" target="_self">decimal_to_hexadecimal.cpp</a></td><td class="desc">Convert decimal number to hexadecimal representation </td></tr>
<tr id="row_14_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d85/decimal__to__roman__numeral_8cpp.html" target="_self">decimal_to_roman_numeral.cpp</a></td><td class="desc">This Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral </td></tr>
<tr id="row_14_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/df0/fast__integer__input_8cpp.html" target="_self">fast_integer_input.cpp</a></td><td class="desc">Read integers from stdin continuously as they are entered without waiting for the <code>\n</code> character </td></tr>
<tr id="row_14_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/df3/happy__number_8cpp.html" target="_self">happy_number.cpp</a></td><td class="desc">A happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1 </td></tr>
<tr id="row_14_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d35/matrix__exponentiation_8cpp.html" target="_self">matrix_exponentiation.cpp</a></td><td class="desc">Matrix Exponentiation </td></tr>
<tr id="row_14_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d9a/palindrome__of__number_8cpp.html" target="_self">palindrome_of_number.cpp</a></td><td class="desc">Check if a number is <a href="https://en.wikipedia.org/wiki/Palindrome">palindrome</a> or not </td></tr>
<tr id="row_14_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dc5/paranthesis__matching_8cpp.html" target="_self">paranthesis_matching.cpp</a></td><td class="desc">Perform paranthesis matching </td></tr>
<tr id="row_14_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/d1a/pascal__triangle_8cpp.html" target="_self">pascal_triangle.cpp</a></td><td class="desc">Pascal's triangle implementation </td></tr>
<tr id="row_14_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d7/d75/postfix__evaluation_8cpp.html" target="_self">postfix_evaluation.cpp</a></td><td class="desc">Evaluation of <a href="https://en.wikipedia.org/wiki/Reverse_Polish_notation">Postfix Expression</a> </td></tr>
<tr id="row_14_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="da/d7b/primality__test_8cpp.html" target="_self">primality_test.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Primality_test">Primality test</a> implementation </td></tr>
<tr id="row_14_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/d01/smallest__circle_8cpp.html" target="_self">smallest_circle.cpp</a></td><td class="desc">Get centre and radius of the <a href="https://en.wikipedia.org/wiki/Smallest-circle_problem">smallest circle</a> that circumscribes given set of points </td></tr>
<tr id="row_14_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d19/sparse__matrix_8cpp.html" target="_self">sparse_matrix.cpp</a></td><td class="desc"></td></tr>
<tr id="row_14_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d07/spiral__print_8cpp.html" target="_self">spiral_print.cpp</a></td><td class="desc">Print the elements of a matrix traversing it spirally </td></tr>
<tr id="row_14_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/def/stairs__pattern_8cpp.html" target="_self">stairs_pattern.cpp</a></td><td class="desc">This program is use to print the following pattern </td></tr>
<tr id="row_14_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="db/d3c/tower__of__hanoi_8cpp.html" target="_self">tower_of_hanoi.cpp</a></td><td class="desc">Solve the <a href="https://en.wikipedia.org/wiki/Tower_of_Hanoi">Tower of Hanoi</a> problem </td></tr>
<tr id="row_14_17_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d61/vector__important__functions_8cpp.html" target="_self">vector_important_functions.cpp</a></td><td class="desc">A C++ program to demonstrate working of <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/sort.html">std::sort()</a>, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse()</a> </td></tr>
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<tr id="row_16_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_16_" class="arrow" onclick="toggleFolder('16_')">&#9658;</span><span id="img_16_" class="iconfclosed" onclick="toggleFolder('16_')">&#160;</span><a class="el" href="dir_074119ce3a874b57120c49a0cc4bb5ad.html" target="_self">range_queries</a></td><td class="desc"></td></tr>
<tr id="row_16_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d6/d2e/fenwick__tree_8cpp.html" target="_self">fenwick_tree.cpp</a></td><td class="desc">Fenwick tree </td></tr>
<tr id="row_16_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html" target="_self">heavy_light_decomposition.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Heavy_path_decomposition">Heavy Light Decomposition</a> implementation </td></tr>
<tr id="row_16_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/d58/persistent__seg__tree__lazy__prop_8cpp.html" target="_self">persistent_seg_tree_lazy_prop.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Persistent_data_structure">Persistent segment tree with range updates (lazy propagation)</a> </td></tr>
<tr id="row_16_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/dab/sparse__table_8cpp.html" target="_self">sparse_table.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Range_minimum_query">Sparse Table</a> data structure </td></tr>
<tr id="row_17_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="toggleFolder('17_')">&#9658;</span><span id="img_17_" class="iconfclosed" onclick="toggleFolder('17_')">&#160;</span><a class="el" href="dir_19b2bf9199a15c634a08b1ede1dd896a.html" target="_self">search</a></td><td class="desc"></td></tr>
<tr id="row_17_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/dd5/binary__search_8cpp.html" target="_self">binary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Binary_search_algorithm">Binary search algorithm</a> </td></tr>
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<tr id="row_17_2_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d0d/fibonacci__search_8cpp.html" target="_self">fibonacci_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Fibonacci_search_technique">Fibonacci search algorithm</a> </td></tr>
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<tr id="row_17_4_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dd7/interpolation__search_8cpp.html" target="_self">interpolation_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_17_5_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="df/d39/interpolation__search2_8cpp.html" target="_self">interpolation_search2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Interpolation_search">Interpolation search</a> algorithm </td></tr>
<tr id="row_17_6_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d22/jump__search_8cpp.html" target="_self">jump_search.cpp</a></td><td class="desc">C++ program to implement <a href="https://en.wikipedia.org/wiki/Jump_search">Jump Search</a> </td></tr>
<tr id="row_17_7_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/d02/linear__search_8cpp.html" target="_self">linear_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Linear_search">Linear search algorithm</a> </td></tr>
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<tr id="row_17_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dfe/ternary__search_8cpp.html" target="_self">ternary_search.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Ternary_search">Ternary search</a> algorithm </td></tr>
<tr id="row_17_11_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/db5/text__search_8cpp.html" target="_self">text_search.cpp</a></td><td class="desc">Search for words in a long textual paragraph </td></tr>
<tr id="row_18_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_18_" class="arrow" onclick="toggleFolder('18_')">&#9658;</span><span id="img_18_" class="iconfclosed" onclick="toggleFolder('18_')">&#160;</span><a class="el" href="dir_bb1b521853a9c46347182a9d10420771.html" target="_self">sorting</a></td><td class="desc"></td></tr>
<tr id="row_18_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/ddb/bogo__sort_8cpp.html" target="_self">bogo_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Bogosort">Bogosort algorithm</a> </td></tr>
<tr id="row_18_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d13/bubble__sort_8cpp.html" target="_self">bubble_sort.cpp</a></td><td class="desc">Bubble sort algorithm </td></tr>
<tr id="row_18_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d9/dfd/comb__sort_8cpp.html" target="_self">comb_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Comb_sort">Comb Sort Algorithm (Comb Sort)</a> </td></tr>
<tr id="row_18_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d26/count__inversions_8cpp.html" target="_self">count_inversions.cpp</a></td><td class="desc">Counting Inversions using <a href="https://en.wikipedia.org/wiki/Merge_sort">Merge Sort</a> </td></tr>
<tr id="row_18_4_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d07/cycle__sort_8cpp.html" target="_self">cycle_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Cycle_sort">Cycle sort</a> algorithm </td></tr>
<tr id="row_18_5_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d21/gnome__sort_8cpp.html" target="_self">gnome_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Gnome_sort">gnome sort</a> algorithm </td></tr>
<tr id="row_18_6_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d2/d52/heap__sort_8cpp.html" target="_self">heap_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Heapsort">Heap Sort Algorithm (heap sort)</a> implementation </td></tr>
<tr id="row_18_7_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/d0d/insertion__sort_8cpp.html" target="_self">insertion_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Insertion_sort">Insertion Sort Algorithm (Insertion Sort)</a> </td></tr>
<tr id="row_18_8_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="de/d7b/merge__insertion__sort_8cpp.html" target="_self">merge_insertion_sort.cpp</a></td><td class="desc">Algorithm that combines insertion sort and merge sort. <a href="https://en.wikipedia.org/wiki/Merge-insertion_sort">Wiki link</a> </td></tr>
<tr id="row_18_9_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d5/df4/merge__sort_8cpp.html" target="_self">merge_sort.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Merge_sort">Merege Sort Algorithm (MEREGE SORT)</a> implementation </td></tr>
<tr id="row_18_10_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d0/db6/non__recursive__merge__sort_8cpp.html" target="_self">non_recursive_merge_sort.cpp</a></td><td class="desc"></td></tr>
<tr id="row_18_11_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d92/pancake__sort_8cpp.html" target="_self">pancake_sort.cpp</a></td><td class="desc">Pancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips </td></tr>
<tr id="row_18_12_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dd/da8/pigeonhole__sort_8cpp.html" target="_self">pigeonhole_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Pigeonhole_sort">Pigeonhole Sort algorithm</a> </td></tr>
<tr id="row_18_13_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/d21/quick__sort_8cpp.html" target="_self">quick_sort.cpp</a></td><td class="desc">Quick sort algorithm </td></tr>
<tr id="row_18_14_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d3/d4c/quick__sort__3_8cpp.html" target="_self">quick_sort_3.cpp</a></td><td class="desc">Implementation Details </td></tr>
<tr id="row_18_15_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d8/d61/radix__sort2_8cpp.html" target="_self">radix_sort2.cpp</a></td><td class="desc">Algorithm of <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> </td></tr>
<tr id="row_18_16_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d4/d7a/shell__sort2_8cpp.html" target="_self">shell_sort2.cpp</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Shell_sort">Shell sort</a> algorithm </td></tr>
<tr id="row_18_17_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="dc/dd9/strand__sort_8cpp.html" target="_self">strand_sort.cpp</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_18_18_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icondoc"></span><a class="el" href="d1/dcc/wiggle__sort_8cpp.html" target="_self">wiggle_sort.cpp</a></td><td class="desc"><a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort Algorithm</a> Implementation </td></tr>
<tr id="row_19_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_19_" class="arrow" onclick="toggleFolder('19_')">&#9658;</span><span id="img_19_" class="iconfclosed" onclick="toggleFolder('19_')">&#160;</span><a class="el" href="dir_73a3cc5065b223eb41b02873c0e19f0e.html" target="_self">strings</a></td><td class="desc"></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="icondoc"></span><a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html" target="_self">brute_force_string_searching.cpp</a></td><td class="desc">String pattern search - brute force </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="icondoc"></span><a class="el" href="d3/dfe/horspool_8cpp.html" target="_self">horspool.cpp</a></td><td class="desc">Horspool's algorithm that finds if a string contains a substring (<a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm">https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm</a>) </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="icondoc"></span><a class="el" href="de/d6a/knuth__morris__pratt_8cpp.html" target="_self">knuth_morris_pratt.cpp</a></td><td class="desc">The <a href="https://en.wikipedia.org/wiki/KnuthMorrisPratt_algorithm">Knuth-Morris-Pratt Algorithm</a> for finding a pattern within a piece of text with complexity O(n + m) </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="icondoc"></span><a class="el" href="d6/dce/rabin__karp_8cpp.html" target="_self">rabin_karp.cpp</a></td><td class="desc">The <a href="https://en.wikipedia.org/wiki/RabinKarp_algorithm">Rabin-Karp Algorithm</a> for finding a pattern within a piece of text with complexity O(n + m) </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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</li>
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</li>
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@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
</li>
<li>test()
: <a class="el" href="dc/d5a/rat__maze_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">rat_maze.cpp</a>
, <a class="el" href="d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">hamming_distance.cpp</a>
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@@ -127,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_square()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4921874435266592b222e3f2eda0e01f">ordinary_least_squares_regressor.cpp</a>
</li>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
</li>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>IsPrime()
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</li>
<li>it_ternary_search()
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</li>

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View File

@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
</li>
<li>test()
: <a class="el" href="dc/d5a/rat__maze_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">rat_maze.cpp</a>
, <a class="el" href="d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">hamming_distance.cpp</a>
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<div class="contents">
<div class="textblock"><p><a class="anchor" id="mainpage"></a></p>
<p><a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus"><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code" class="inline"/></a> <a href="https://lgtm.com/projects/g/TheAlgorithms/C-Plus-Plus/context:cpp"><img src="https://img.shields.io/lgtm/grade/cpp/g/TheAlgorithms/C-Plus-Plus.svg?logo=lgtm&amp;logoWidth=18" alt="Language grade: C/C++" style="pointer-events: none;" class="inline"/></a> <a href="https://gitter.im/TheAlgorithms"><img src="https://img.shields.io/badge/Chat-Gitter-ff69b4.svg?label=Chat&amp;logo=gitter&amp;style=flat-square" alt="Gitter chat" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/CONTRIBUTING.md"><img src="https://img.shields.io/static/v1.svg?label=Contributions&amp;message=Welcome&amp;color=0059b3&amp;style=flat-square" alt="contributions welcome" style="pointer-events: none;" class="inline"/></a> <img src="https://img.shields.io/github/repo-size/TheAlgorithms/C-Plus-Plus?color=red&amp;style=flat-square" alt="GitHub repo size" class="inline"/> <a href="https://TheAlgorithms.github.io/C-Plus-Plus"><img src="https://github.com/TheAlgorithms/C-Plus-Plus/workflows/Doxygen%20CI/badge.svg" alt="Doxygen CI" style="pointer-events: none;" class="inline"/></a> <a href="https://github.com/TheAlgorithms/C-Plus-Plus/actions?query=workflow%3A%22Awesome+CI+Workflow%22"><img src="https://github.com/TheAlgorithms/C-Plus-Plus/workflows/Awesome%20CI%20Workflow/badge.svg" alt="Awesome CI" style="pointer-events: none;" class="inline"/></a></p>
<h1><a class="anchor" id="autotoc_md67"></a>
<h1><a class="anchor" id="autotoc_md68"></a>
Overview</h1>
<p>The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/LICENSE">MIT License</a>. The algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.</p>
<h1><a class="anchor" id="autotoc_md68"></a>
<h1><a class="anchor" id="autotoc_md69"></a>
Features</h1>
<ul>
<li>The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - <a href="https://en.wikipedia.org/wiki/C%2B%2B">C++</a>.</li>
@@ -110,12 +110,12 @@ Features</h1>
<li>Self-checks within programs ensure correct implementations with confidence.</li>
<li>Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.</li>
</ul>
<h1><a class="anchor" id="autotoc_md69"></a>
<h1><a class="anchor" id="autotoc_md70"></a>
Documentation</h1>
<p><a href="https://TheAlgorithms.github.io/C-Plus-Plus">Online Documentation</a> is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on <a href="https://TheAlgorithms.github.io/C-Plus-Plus/files.html">Files menu</a> to see the list of all the files documented with the code.</p>
<p><a href="https://thealgorithms.github.io/C-Plus-Plus">Documentation of Algorithms in C++</a> by <a href="https://github.com/TheAlgorithms/C-Plus-Plus/graphs/contributors">The Algorithms Contributors</a> is licensed under <a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1">CC BY-SA 4.0</a><br />
<a href="https://creativecommons.org/licenses/by-sa/4.0"><img src="https://mirrors.creativecommons.org/presskit/icons/cc.svg" alt="Creative Commons License" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/by.svg" alt="Credit must be given to the creator" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/><img src="https://mirrors.creativecommons.org/presskit/icons/sa.svg" alt="Adaptations must be shared under the same terms" style="pointer-events: none; height:22px!important;margin-left: 3px;vertical-align:text-bottom;" class="inline"/></a></p>
<h1><a class="anchor" id="autotoc_md70"></a>
<h1><a class="anchor" id="autotoc_md71"></a>
Contributions</h1>
<p>As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/CONTRIBUTING.md">Contribution Guidelines</a>. </p>
</div></div><!-- PageDoc -->

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@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
</ul>

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@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>isPossible()
: <a class="el" href="db/dc0/namespacebacktracking.html#a80af16e57cfb6aaab2bf1da4c4db3308">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
<li>isSafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking</a>
</li>
<li>issafe()
: <a class="el" href="db/dc0/namespacebacktracking.html#a531de8cb2d4d16ca63353d9c72158257">backtracking</a>
</li>
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<tr id="row_0_" 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/d39/namespaceactivations.html" target="_self">activations</a></td><td class="desc">Various activation functions used in Neural network </td></tr>
<tr id="row_1_"><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/dc0/namespacebacktracking.html" target="_self">backtracking</a></td><td class="desc">Backtracking algorithms </td></tr>
<tr id="row_2_" 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/d13/namespacebidirectional__dijkstra.html" target="_self">bidirectional_dijkstra</a></td><td class="desc">Functions for <a href="https://www.coursera.org/learn/algorithms-on-graphs/lecture/7ml18/bidirectional-dijkstra">Bidirectional Dijkstra Shortest Path</a> algorithm </td></tr>
<tr id="row_3_"><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">Caesar cipher</a> algorithm </td></tr>
<tr id="row_4_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_4_" class="arrow" onclick="toggleFolder('4_')">&#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_4_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>caesar</b></td><td class="desc"></td></tr>
<tr id="row_4_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>morse</b></td><td class="desc"></td></tr>
<tr id="row_4_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>vigenere</b></td><td class="desc"></td></tr>
<tr id="row_4_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>XOR</b></td><td class="desc"></td></tr>
<tr id="row_4_4_" 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">Hill Cipher</a> algorithm </td></tr>
<tr id="row_5_"><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_6_" 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">Cycle sort</a> algorithm </td></tr>
<tr id="row_7_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_7_" class="arrow" onclick="toggleFolder('7_')">&#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">Data Structures algorithms </td></tr>
<tr id="row_7_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_0_" class="arrow" onclick="toggleFolder('7_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>linked_list</b></td><td class="desc"></td></tr>
<tr id="row_7_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="de/d9d/classdata__structures_1_1linked__list_1_1link.html" target="_self">link</a></td><td class="desc"></td></tr>
<tr id="row_7_0_1_" 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="d1/def/classdata__structures_1_1linked__list_1_1list.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_7_1_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_1_" class="arrow" onclick="toggleFolder('7_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>list_array</b></td><td class="desc"></td></tr>
<tr id="row_7_1_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/dab/structdata__structures_1_1list__array_1_1list.html" target="_self">list</a></td><td class="desc">Structure of List with supporting methods </td></tr>
<tr id="row_7_2_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_2_" class="arrow" onclick="toggleFolder('7_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>queue_using_array</b></td><td class="desc"></td></tr>
<tr id="row_7_2_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/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" target="_self">Queue_Array</a></td><td class="desc"><a class="el" href="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" title="Queue_Array class containing the main data and also index of head and tail of the array.">Queue_Array</a> class containing the main data and also index of head and tail of the array </td></tr>
<tr id="row_7_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_7_3_" class="arrow" onclick="toggleFolder('7_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>tree_234</b></td><td class="desc"></td></tr>
<tr id="row_7_3_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="dd/d40/classdata__structures_1_1tree__234_1_1_node.html" target="_self">Node</a></td><td class="desc">2-3-4 tree node class </td></tr>
<tr id="row_7_3_1_" 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="d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html" target="_self">Tree234</a></td><td class="desc">2-3-4 tree class </td></tr>
<tr id="row_7_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="d9/d49/structdata__structures_1_1_node.html" target="_self">Node</a></td><td class="desc"></td></tr>
<tr id="row_7_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="d4/d90/classdata__structures_1_1_skip_list.html" target="_self">SkipList</a></td><td class="desc"></td></tr>
<tr id="row_7_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="d0/d3e/classdata__structures_1_1trie.html" target="_self">trie</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/Trie">Trie</a> implementation for small-case English alphabets <code>a-z</code> </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="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">Depth First Search</a> algorithm </td></tr>
<tr id="row_9_"><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">Disjoint union</a> implementation </td></tr>
<tr id="row_10_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_10_" class="arrow" onclick="toggleFolder('10_')">&#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">double hashing</a> algorithm </td></tr>
<tr id="row_10_0_" 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_11_"><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_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="df/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Regula_falsi">False Position</a> method </td></tr>
<tr id="row_13_"><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_14_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_14_" class="arrow" onclick="toggleFolder('14_')">&#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">Geometry algorithms </td></tr>
<tr id="row_14_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_14_0_" class="arrow" onclick="toggleFolder('14_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>jarvis</b></td><td class="desc"></td></tr>
<tr id="row_14_0_0_" 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="d9/d5a/structgeometry_1_1jarvis_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_14_0_1_" 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="d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html" target="_self">Convexhull</a></td><td class="desc"></td></tr>
<tr id="row_15_"><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">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_16_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_16_" class="arrow" onclick="toggleFolder('16_')">&#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_16_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>bidirectional_dijkstra</b></td><td class="desc"></td></tr>
<tr id="row_16_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>depth_first_search</b></td><td class="desc"></td></tr>
<tr id="row_16_2_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>disjoint_union</b></td><td class="desc"></td></tr>
<tr id="row_16_3_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_16_3_" class="arrow" onclick="toggleFolder('16_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>is_graph_bipartite</b></td><td class="desc"></td></tr>
<tr id="row_16_3_0_" 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="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Class for representing graph as an adjacency list </td></tr>
<tr id="row_16_4_" 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_16_5_" 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_16_6_" 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_16_7_" 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_17_"><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_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="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">Horspool's</a> algorithm </td></tr>
<tr id="row_19_"><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_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="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_21_"><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">Jarviss</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="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane</a> algorithm </td></tr>
<tr id="row_23_"><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_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="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_25_"><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/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </td></tr>
<tr id="row_26_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_26_" class="arrow" onclick="toggleFolder('26_')">&#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">linear probing</a> algorithm </td></tr>
<tr id="row_26_0_" 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_27_"><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_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="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">Dynamic Array</a> algorithm </td></tr>
<tr id="row_29_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_29_" class="arrow" onclick="toggleFolder('29_')">&#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">Machine learning algorithms </td></tr>
<tr id="row_29_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_29_0_" class="arrow" onclick="toggleFolder('29_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>neural_network</b></td><td class="desc"></td></tr>
<tr id="row_29_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">N</span></span><b>activations</b></td><td class="desc"></td></tr>
<tr id="row_29_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span id="arr_29_0_1_" class="arrow" onclick="toggleFolder('29_0_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>layers</b></td><td class="desc"></td></tr>
<tr id="row_29_0_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html" target="_self">DenseLayer</a></td><td class="desc"></td></tr>
<tr id="row_29_0_2_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>util_functions</b></td><td class="desc"></td></tr>
<tr id="row_29_0_3_" 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="d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html" target="_self">NeuralNetwork</a></td><td class="desc"></td></tr>
<tr id="row_29_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/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></td></tr>
<tr id="row_30_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_30_" class="arrow" onclick="toggleFolder('30_')">&#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 <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_30_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>fibonacci_sum</b></td><td class="desc"></td></tr>
<tr id="row_30_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_30_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_30_2_" class="arrow" onclick="toggleFolder('30_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>ncr_modulo_p</b></td><td class="desc"></td></tr>
<tr id="row_30_2_0_" 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/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" target="_self">NCRModuloP</a></td><td class="desc">Class which contains all methods required for calculating nCr mod p </td></tr>
<tr id="row_30_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_31_"><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">Median search</a> algorithm </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="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_33_"><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/">minimum coin exchange</a> problem </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="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> implementation </td></tr>
<tr id="row_35_"><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 <a href="https://en.wikipedia.org/wiki/Morse_code">Morse Code</a> </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="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">Eight Queens</a> puzzle </td></tr>
<tr id="row_37_"><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 <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </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="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">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_39_"><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">nCr modulo p</a> implementation </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="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_41_"><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 io operations </td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_42_" class="arrow" onclick="toggleFolder('42_')">&#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">Other algorithms </td></tr>
<tr id="row_42_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_42_0_" class="arrow" onclick="toggleFolder('42_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_42_0_0_" 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/d8a/classothers_1_1postfix__expression_1_1_stack.html" target="_self">Stack</a></td><td class="desc">Creates an array to be used as stack for storing values </td></tr>
<tr id="row_43_"><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/">Palindrome Partitioning</a> 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="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">Pancake sort</a> algorithm </td></tr>
<tr id="row_45_"><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_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="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">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_47_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_47_" class="arrow" onclick="toggleFolder('47_')">&#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">quadratic probing</a> algorithm </td></tr>
<tr id="row_47_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="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></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="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_49_"><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">Radix sort</a> algorithm </td></tr>
<tr id="row_50_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_50_" class="arrow" onclick="toggleFolder('50_')">&#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_50_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_50_0_" class="arrow" onclick="toggleFolder('50_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_50_0_0_" 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="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_50_0_1_" 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="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_50_0_2_" 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="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_50_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_50_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_50_2_" class="arrow" onclick="toggleFolder('50_2_')">&#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_50_2_0_" 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_51_"><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 &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
<tr id="row_3_"><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_4_" 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">Caesar cipher</a> algorithm </td></tr>
<tr id="row_5_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_5_" class="arrow" onclick="toggleFolder('5_')">&#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_5_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><b>caesar</b></td><td class="desc"></td></tr>
<tr id="row_5_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><b>morse</b></td><td class="desc"></td></tr>
<tr id="row_5_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><b>vigenere</b></td><td class="desc"></td></tr>
<tr id="row_5_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><b>XOR</b></td><td class="desc"></td></tr>
<tr id="row_5_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="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">Hill Cipher</a> algorithm </td></tr>
<tr id="row_6_" 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_7_"><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">Cycle sort</a> algorithm </td></tr>
<tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="toggleFolder('8_')">&#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">Data Structures algorithms </td></tr>
<tr id="row_8_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_0_" class="arrow" onclick="toggleFolder('8_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>linked_list</b></td><td class="desc"></td></tr>
<tr id="row_8_0_0_" 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="de/d9d/classdata__structures_1_1linked__list_1_1link.html" target="_self">link</a></td><td class="desc"></td></tr>
<tr id="row_8_0_1_" 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="d1/def/classdata__structures_1_1linked__list_1_1list.html" target="_self">list</a></td><td class="desc"></td></tr>
<tr id="row_8_1_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_1_" class="arrow" onclick="toggleFolder('8_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>list_array</b></td><td class="desc"></td></tr>
<tr id="row_8_1_0_" 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/dab/structdata__structures_1_1list__array_1_1list.html" target="_self">list</a></td><td class="desc">Structure of List with supporting methods </td></tr>
<tr id="row_8_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_2_" class="arrow" onclick="toggleFolder('8_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>queue_using_array</b></td><td class="desc"></td></tr>
<tr id="row_8_2_0_" 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/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" target="_self">Queue_Array</a></td><td class="desc"><a class="el" href="d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html" title="Queue_Array class containing the main data and also index of head and tail of the array.">Queue_Array</a> class containing the main data and also index of head and tail of the array </td></tr>
<tr id="row_8_3_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_8_3_" class="arrow" onclick="toggleFolder('8_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>tree_234</b></td><td class="desc"></td></tr>
<tr id="row_8_3_0_" 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="dd/d40/classdata__structures_1_1tree__234_1_1_node.html" target="_self">Node</a></td><td class="desc">2-3-4 tree node class </td></tr>
<tr id="row_8_3_1_" 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="d3/d95/classdata__structures_1_1tree__234_1_1_tree234.html" target="_self">Tree234</a></td><td class="desc">2-3-4 tree class </td></tr>
<tr id="row_8_4_" 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_8_5_" 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_8_6_" 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">Trie</a> implementation for small-case English alphabets <code>a-z</code> </td></tr>
<tr id="row_9_"><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">Depth First Search</a> algorithm </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="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">Disjoint union</a> implementation </td></tr>
<tr id="row_11_"><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="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">double hashing</a> algorithm </td></tr>
<tr id="row_11_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_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="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_13_"><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 <a href="https://en.wikipedia.org/wiki/Regula_falsi">False Position</a> method </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="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_15_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_15_" class="arrow" onclick="toggleFolder('15_')">&#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">Geometry algorithms </td></tr>
<tr id="row_15_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_15_0_" class="arrow" onclick="toggleFolder('15_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>jarvis</b></td><td class="desc"></td></tr>
<tr id="row_15_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="d9/d5a/structgeometry_1_1jarvis_1_1_point.html" target="_self">Point</a></td><td class="desc"></td></tr>
<tr id="row_15_0_1_" 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="d4/dde/classgeometry_1_1jarvis_1_1_convexhull.html" target="_self">Convexhull</a></td><td class="desc"></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="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">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_17_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_17_" class="arrow" onclick="toggleFolder('17_')">&#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_17_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><b>bidirectional_dijkstra</b></td><td class="desc"></td></tr>
<tr id="row_17_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><b>depth_first_search</b></td><td class="desc"></td></tr>
<tr id="row_17_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><b>disjoint_union</b></td><td class="desc"></td></tr>
<tr id="row_17_3_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_17_3_" class="arrow" onclick="toggleFolder('17_3_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>is_graph_bipartite</b></td><td class="desc"></td></tr>
<tr id="row_17_3_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="de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html" target="_self">Graph</a></td><td class="desc">Class for representing graph as an adjacency list </td></tr>
<tr id="row_17_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="dc/d61/classgraph_1_1_graph.html" target="_self">Graph</a></td><td class="desc"></td></tr>
<tr id="row_17_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="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_17_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="d0/d58/classgraph_1_1_rooted_tree.html" target="_self">RootedTree</a></td><td class="desc"></td></tr>
<tr id="row_17_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="d9/d23/classgraph_1_1_lowest_common_ancestor.html" target="_self">LowestCommonAncestor</a></td><td class="desc"></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/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a> implementation </td></tr>
<tr id="row_19_"><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_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="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">Horspool's</a> algorithm </td></tr>
<tr id="row_21_"><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_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/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_23_"><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">Jarviss</a> algorithm </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="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane</a> algorithm </td></tr>
<tr id="row_25_"><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_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="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_27_"><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/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </td></tr>
<tr id="row_28_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_28_" class="arrow" onclick="toggleFolder('28_')">&#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">linear probing</a> algorithm </td></tr>
<tr id="row_28_0_" 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_29_"><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_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="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">Dynamic Array</a> algorithm </td></tr>
<tr id="row_31_"><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="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_31_0_" class="even" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_31_0_" class="arrow" onclick="toggleFolder('31_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>neural_network</b></td><td class="desc"></td></tr>
<tr id="row_31_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">N</span></span><b>activations</b></td><td class="desc"></td></tr>
<tr id="row_31_0_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span id="arr_31_0_1_" class="arrow" onclick="toggleFolder('31_0_1_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>layers</b></td><td class="desc"></td></tr>
<tr id="row_31_0_1_0_" class="even" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html" target="_self">DenseLayer</a></td><td class="desc"></td></tr>
<tr id="row_31_0_2_" class="even" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>util_functions</b></td><td class="desc"></td></tr>
<tr id="row_31_0_3_" 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="d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html" target="_self">NeuralNetwork</a></td><td class="desc"></td></tr>
<tr id="row_31_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/d30/classmachine__learning_1_1adaline.html" target="_self">adaline</a></td><td class="desc"></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="dd/d47/namespacemath.html" target="_self">math</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_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>fibonacci_sum</b></td><td class="desc"></td></tr>
<tr id="row_32_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>modular_division</b></td><td class="desc"></td></tr>
<tr id="row_32_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_32_2_" class="arrow" onclick="toggleFolder('32_2_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>ncr_modulo_p</b></td><td class="desc"></td></tr>
<tr id="row_32_2_0_" 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/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" target="_self">NCRModuloP</a></td><td class="desc">Class which contains all methods required for calculating nCr mod p </td></tr>
<tr id="row_32_3_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>vector_cross</b></td><td class="desc"></td></tr>
<tr id="row_33_"><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">Median search</a> algorithm </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="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_35_"><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/">minimum coin exchange</a> problem </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="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division">Modular Division</a> implementation </td></tr>
<tr id="row_37_"><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 <a href="https://en.wikipedia.org/wiki/Morse_code">Morse Code</a> </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="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">Eight Queens</a> puzzle </td></tr>
<tr id="row_39_"><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 <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </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="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">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_41_"><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">nCr modulo p</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="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_43_"><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 io operations </td></tr>
<tr id="row_44_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_44_" class="arrow" onclick="toggleFolder('44_')">&#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">Other algorithms </td></tr>
<tr id="row_44_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_44_0_" class="arrow" onclick="toggleFolder('44_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>postfix_expression</b></td><td class="desc"></td></tr>
<tr id="row_44_0_0_" 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/d8a/classothers_1_1postfix__expression_1_1_stack.html" target="_self">Stack</a></td><td class="desc">Creates an array to be used as stack for storing values </td></tr>
<tr id="row_45_"><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/">Palindrome Partitioning</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="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">Pancake sort</a> algorithm </td></tr>
<tr id="row_47_"><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_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="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">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_49_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_49_" class="arrow" onclick="toggleFolder('49_')">&#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">quadratic probing</a> algorithm </td></tr>
<tr id="row_49_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="da/dd1/structquadratic__probing_1_1_entry.html" target="_self">Entry</a></td><td class="desc"></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="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_51_"><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">Radix sort</a> algorithm </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="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_52_0_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_52_0_" class="arrow" onclick="toggleFolder('52_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><b>heavy_light_decomposition</b></td><td class="desc"></td></tr>
<tr id="row_52_0_0_" 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="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" target="_self">Tree</a></td><td class="desc">A Basic <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting </td></tr>
<tr id="row_52_0_1_" 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="d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html" target="_self">SG</a></td><td class="desc">Segment <a class="el" href="d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains </td></tr>
<tr id="row_52_0_2_" 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="d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html" target="_self">HLD</a></td><td class="desc">The Heavy-Light Decomposition class </td></tr>
<tr id="row_52_1_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><b>sparse_table</b></td><td class="desc"></td></tr>
<tr id="row_52_2_" style="display:none;"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_52_2_" class="arrow" onclick="toggleFolder('52_2_')">&#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_52_2_0_" 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_53_"><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 &lt;a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" </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="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">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_53_"><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">Saddleback Algorithm</a> </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="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </td></tr>
<tr id="row_55_"><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_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="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_57_"><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">Range queries using sparse-tables </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="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_59_"><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="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </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="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_59_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/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</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/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_61_"><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">Strand Sort</a> algorithm </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="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_63_"><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_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="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">234 tree</a> </td></tr>
<tr id="row_65_"><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_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/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_67_"><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">vigenère cipher</a> algorithm </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/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_69_"><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/">Word Break</a> problem </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="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">XOR cipher</a> algorithm </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="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">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_55_"><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">Saddleback Algorithm</a> </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="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </td></tr>
<tr id="row_57_"><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_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="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_59_"><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">Range queries using sparse-tables </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="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_61_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_61_" class="arrow" onclick="toggleFolder('61_')">&#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_61_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="d7/d7c/classstatistics_1_1stats__computer1.html" target="_self">stats_computer1</a></td><td class="desc"></td></tr>
<tr id="row_61_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/dab/classstatistics_1_1stats__computer2.html" target="_self">stats_computer2</a></td><td class="desc"></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="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_63_"><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">Strand Sort</a> 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/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_65_"><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_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="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">234 tree</a> </td></tr>
<tr id="row_67_"><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_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/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_69_"><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">vigenère cipher</a> algorithm </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/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_71_"><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/">Word Break</a> problem </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="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">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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