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<p>Bubble sort algorithm.
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<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>
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Algorithm</h3>
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<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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<dl class="section author"><dt>Author</dt><dd><a href="https://adityaprakash.tech" target="_blank">Aditya Prakash</a> </dd></dl>
<p>The working principle of the Bubble sort algorithm.</p>
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<div class="textblock"><p>Implementation of the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion. </p>
<p>The selection sort algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front (left) of the list, and a sublist of the remaining unsorted items that occupy the rest of the list. Initially, the sorted sublist is empty, and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on the sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.</p>
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<p>FindMinIndex This function finds the minimum element of the array(list) recursively by simply comparing the minimum element of array reduced size by 1 and compares it to the last element of the array to find the minimum of the whole array.</p>
<p>SelectionSortRecursive Just like selection sort, it divides the list into two parts (i.e.: sorted and unsorted) and finds the minimum of the unsorted array. By calling the <code>FindMinIndex</code> function, it swaps the minimum element with the first element of the list, and then solves recursively for the remaining unsorted list. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Tushar-K24" target="_blank">Tushar Khanduri</a> </dd></dl>

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<p>Sorting algorithms.</p>
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<p>Bubble sort algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;utility&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></td></tr>
<tr class="memdesc:d5/d91/namespacesorting"><td class="mdescLeft">&#160;</td><td class="mdescRight">for working with vectors <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/dd5/namespacebubble__sort.html">bubble_sort</a></td></tr>
<tr class="memdesc:d0/dd5/namespacebubble__sort"><td class="mdescLeft">&#160;</td><td class="mdescRight">Bubble sort algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:af3b12930a83915712461d53fe9659686" id="r_af3b12930a83915712461d53fe9659686"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:af3b12930a83915712461d53fe9659686"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;array)</td></tr>
<tr class="memdesc:af3b12930a83915712461d53fe9659686"><td class="mdescLeft">&#160;</td><td class="mdescRight">Bubble sort algorithm. <br /></td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementation. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Bubble sort algorithm. </p>
<p>The working principle of the Bubble sort algorithm:</p>
<p>Bubble sort algorithm is the bubble sorting algorithm. The most important reason for calling the bubble is that the largest number is thrown at the end of this algorithm. This is all about the logic. In each iteration, the largest number is expired and when iterations are completed, the sorting takes place.</p>
<p>What is Swap?</p>
<p>Swap in the software means that two variables are displaced. An additional variable is required for this operation. x = 5, y = 10. We want x = 10, y = 5. Here we create the most variable to do it.</p>
<p>int z; z = x; x = y; y = z;</p>
<p>The above process is a typical displacement process. When x assigns the value to x, the old value of x is lost. That's why we created a variable z to create the first value of the value of x, and finally, we have assigned to y.</p>
<p>Bubble Sort Algorithm Analysis (Best Case - Worst Case - Average Case)</p>
<p>Bubble Sort Worst Case Performance is O (n²). Why is that? Because if you remember Big O Notation, we were calculating the complexity of the algorithms in the nested loops. The n * (n - 1) product gives us O (n²) performance. In the worst case all the steps of the cycle will occur. Bubble Sort (Avarage Case) Performance. Bubble Sort is not an optimal algorithm. in average, O (n²) performance is taken. Bubble Sort Best Case Performance. O (n). However, you can't get the best status in the code we shared above. This happens on the optimized bubble sort algorithm. It's right down there. </p>
<div class="fragment"><div class="line"><span class="keywordtype">int</span> z;</div>
<div class="line">z = x;</div>
<div class="line">x = y;</div>
<div class="line">y = z;</div>
</div><!-- fragment --><p>The above process is a typical displacement process. When x assigns the value to x, the old value of x is lost. That's why we created a variable z to create the first value of the value of x, and finally, we have assigned to y.</p>
<h2><a class="anchor" id="autotoc_md110"></a>
Bubble Sort Algorithm Analysis (Best Case - Worst Case - Average Case)</h2>
<h3><a class="anchor" id="autotoc_md111"></a>
Best Case</h3>
<p>Bubble Sort Best Case Performance. \(O(n)\). However, you can't get the best status in the code we shared above. This happens on the optimized bubble sort algorithm. It's right down there.</p>
<h3><a class="anchor" id="autotoc_md112"></a>
Worst Case</h3>
<p>Bubble Sort Worst Case Performance is \(O(n^{2})\). Why is that? Because if you remember Big O Notation, we were calculating the complexity of the algorithms in the nested loops. The \(n * (n - 1)\) product gives us \(O(n^{2})\) performance. In the worst case all the steps of the cycle will occur.</p>
<h3><a class="anchor" id="autotoc_md113"></a>
Average Case</h3>
<p>Bubble Sort is not an optimal algorithm. In average, \(O(n^{2})\) performance is taken.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Deepak-j-p" target="_blank">Deepak</a> </dd>
<dd>
<a href="https://github.com/hollowcrust" target="_blank">Nguyen Phuc Chuong</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="af3b12930a83915712461d53fe9659686" name="af3b12930a83915712461d53fe9659686"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3b12930a83915712461d53fe9659686">&#9670;&#160;</a></span>bubble_sort()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; sorting::bubble_sort::bubble_sort </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>array</em></span></td><td>)</td>
<td></td>
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<p>Bubble sort algorithm. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">array</td><td>An array to be sorted </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The array sorted in ascending order </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// swap_check flag to terminate the function early</span></div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// if there is no swap occurs in one iteration.</span></div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordtype">bool</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordtype">int</span> size = array.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; (i &lt; size) &amp;&amp; (swap_check); i++) {</div>
<div class="line"><span class="lineno"> 78</span> swap_check = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; size - 1 - i; j++) {</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (array[j] &gt; array[j + 1]) {</div>
<div class="line"><span class="lineno"> 81</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 82</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(array[j], array[j + 1]);</div>
<div class="line"><span class="lineno"> 83</span> }</div>
<div class="line"><span class="lineno"> 84</span> }</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> array;</div>
<div class="line"><span class="lineno"> 88</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="fragment"><div class="line"><span class="lineno"> 43</span> {</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordtype">int</span> n;</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordtype">bool</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the amount of numbers to sort: &quot;</span>;</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> numbers;</div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter &quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; numbers: &quot;</span>;</div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">int</span> num;</div>
<div class="line"><span class="lineno"> 51</span> </div>
<div class="line"><span class="lineno"> 52</span> <span class="comment">// Input</span></div>
<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 54</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; num;</div>
<div class="line"><span class="lineno"> 55</span> numbers.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(num);</div>
<div class="line"><span class="lineno"> 56</span> }</div>
<div class="line"><span class="lineno"> 57</span> </div>
<div class="line"><span class="lineno"> 58</span> <span class="comment">// Bubble Sorting</span></div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; (i &lt; n) &amp;&amp; (swap_check); i++) {</div>
<div class="line"><span class="lineno"> 60</span> swap_check = <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n - 1 - i; j++) {</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">if</span> (numbers[j] &gt; numbers[j + 1]) {</div>
<div class="line"><span class="lineno"> 63</span> swap_check = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 64</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(numbers[j],</div>
<div class="line"><span class="lineno"> 65</span> numbers[j + 1]); <span class="comment">// by changing swap location.</span></div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// I mean, j. If the number is</span></div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// greater than j + 1, then it</span></div>
<div class="line"><span class="lineno"> 68</span> <span class="comment">// means the location.</span></div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> }</div>
<div class="line"><span class="lineno"> 71</span> }</div>
<div class="line"><span class="lineno"> 72</span> </div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">// Output</span></div>
<div class="line"><span class="lineno"> 74</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nSorted Array : &quot;</span>;</div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; numbers.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">if</span> (i != numbers.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1) {</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; numbers[i] &lt;&lt; <span class="stringliteral">&quot;, &quot;</span>;</div>
<div class="line"><span class="lineno"> 78</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 79</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; numbers[i] &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 80</span> }</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 83</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<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="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 131</span> {</div>
<div class="line"><span class="lineno"> 132</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 133</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 134</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_1 = {3, 1, -9, 0};</div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_1 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_1);</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_2 = {3};</div>
<div class="line"><span class="lineno"> 101</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_2 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_2);</div>
<div class="line"><span class="lineno"> 102</span> </div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> vec_3 = {10, 10, 10, 10, 10};</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> sorted_3 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_3);</div>
<div class="line"><span class="lineno"> 105</span> </div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> vec_4 = {1234, -273.1, 23, 150, 1234, 1555.55, -2000};</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;float&gt;</a> sorted_4 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_4);</div>
<div class="line"><span class="lineno"> 108</span> </div>
<div class="line"><span class="lineno"> 109</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;char&gt;</a> vec_5 = {<span class="charliteral">&#39;z&#39;</span>, <span class="charliteral">&#39;Z&#39;</span>, <span class="charliteral">&#39;a&#39;</span>, <span class="charliteral">&#39;B&#39;</span>, <span class="charliteral">&#39; &#39;</span>, <span class="charliteral">&#39;c&#39;</span>, <span class="charliteral">&#39;a&#39;</span>};</div>
<div class="line"><span class="lineno"> 110</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;char&gt;</a> sorted_5 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_5);</div>
<div class="line"><span class="lineno"> 111</span> </div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::string&gt;</a> vec_6 = {<span class="stringliteral">&quot;Hello&quot;</span>, <span class="stringliteral">&quot;hello&quot;</span>, <span class="stringliteral">&quot;Helo&quot;</span>, <span class="stringliteral">&quot;Hi&quot;</span>, <span class="stringliteral">&quot;hehe&quot;</span>};</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::string&gt;</a> sorted_6 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_6);</div>
<div class="line"><span class="lineno"> 114</span> </div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int, char&gt;</a>&gt; vec_7 = {{10, <span class="charliteral">&#39;c&#39;</span>}, {2, <span class="charliteral">&#39;z&#39;</span>}, {10, <span class="charliteral">&#39;a&#39;</span>}, {0, <span class="charliteral">&#39;b&#39;</span>}, {-1, <span class="charliteral">&#39;z&#39;</span>}};</div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::pair&lt;int, char&gt;</a>&gt; sorted_7 = <a class="code hl_function" href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a>(vec_7);</div>
<div class="line"><span class="lineno"> 117</span> </div>
<div class="line"><span class="lineno"> 118</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 119</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 120</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 121</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 122</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_5.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_5.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 123</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_6.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_6.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 124</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(sorted_7.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>(), sorted_7.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">end</a>()));</div>
<div class="line"><span class="lineno"> 125</span>}</div>
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<div class="ttc" id="abubble__sort_8cpp_html_af3b12930a83915712461d53fe9659686"><div class="ttname"><a href="#af3b12930a83915712461d53fe9659686">sorting::bubble_sort::bubble_sort</a></div><div class="ttdeci">std::vector&lt; T &gt; bubble_sort(std::vector&lt; T &gt; &amp;array)</div><div class="ttdoc">Bubble sort algorithm.</div><div class="ttdef"><b>Definition</b> bubble_sort.cpp:72</div></div>
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<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="d3/dc9/namespacefibonacci__sum.html" target="_self">fibonacci_sum</a></td><td class="desc">Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) +
<tr id="row_11_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dd5/namespacebubble__sort.html" target="_self">bubble_sort</a></td><td class="desc">Bubble sort algorithm </td></tr>
<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d81/namespacecaesar.html" target="_self">caesar</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Caesar_cipher" target="_blank">Caesar cipher</a> algorithm </td></tr>
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<tr id="row_15_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d38/namespacecount__bits__flip.html" target="_self">count_bits_flip</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count bits flip</a> implementation </td></tr>
<tr id="row_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="dd/dae/namespacecount__of__set__bits.html" target="_self">count_of_set_bits</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/count-set-bits-in-an-integer/" target="_blank">count sets bits</a> implementation </td></tr>
<tr id="row_17_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d2f/namespacecount__of__trailing__ciphers__in__factorial__n.html" target="_self">count_of_trailing_ciphers_in_factorial_n</a></td><td class="desc">Functions for the <a href="https://www.tutorialspoint.com/count-trailing-zeros-in-factorial-of-a-number-in-cplusplus" target="_blank">Count the number of ciphers</a> in <code>n!</code> implementation </td></tr>
<tr id="row_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="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_19_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d82/namespacecycle__detection.html" target="_self">cycle_detection</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Cycle_detection" target="_blank">Floyd's Cycle Detection</a> algorithm </td></tr>
<tr id="row_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="d4/dfb/namespacecycle__sort.html" target="_self">cycle_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Cycle_sort" target="_blank">Cycle sort</a> algorithm </td></tr>
<tr id="row_21_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_21_" class="arrow" onclick="dynsection.toggleFolder('21_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d3c/namespacedata__structures.html" target="_self">data_structures</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_21_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d2e/namespacedata__structures_1_1treap.html" target="_self">treap</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Treap" target="_blank">Treap</a> algorithm implementation </td></tr>
<tr id="row_22_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/da7/namespacedepth__first__search.html" target="_self">depth_first_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Depth-first_search" target="_blank">Depth First Search</a> algorithm </td></tr>
<tr id="row_23_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/db4/namespacedisjoint__union.html" target="_self">disjoint_union</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Disjoint_union" target="_blank">Disjoint union</a> implementation </td></tr>
<tr id="row_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="dd/dba/namespacedivide__and__conquer.html" target="_self">divide_and_conquer</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_25_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d75/namespacednf__sort.html" target="_self">dnf_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Dutch_national_flag_problem" target="_blank">DNF sort</a> implementation </td></tr>
<tr id="row_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="d0/d65/namespacedouble__hashing.html" target="_self">double_hashing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Double_hashing" target="_blank">double hashing</a> algorithm </td></tr>
<tr id="row_27_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d88/namespacedp.html" target="_self">dp</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_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="dd/d24/namespacedynamic__programming.html" target="_self">dynamic_programming</a></td><td class="desc">Dynamic Programming algorithms </td></tr>
<tr id="row_29_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dea/namespacefalse__position.html" target="_self">false_position</a></td><td class="desc">Functions for [False Position] (<a href="https://en.wikipedia.org/wiki/Regula_falsi">https://en.wikipedia.org/wiki/Regula_falsi</a>) method </td></tr>
<tr id="row_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="df/d76/namespacefibonacci.html" target="_self">fibonacci</a></td><td class="desc">Functions for Fibonacci sequence </td></tr>
<tr id="row_31_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_31_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/da7/namespacefind__non__repeating__integer.html" target="_self">find_non_repeating_integer</a></td><td class="desc">Functions to find the non repeating integer in an array of repeating integers. <a href="https://leetcode.com/problems/single-number/" target="_blank">Single Number</a> </td></tr>
<tr id="row_32_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_32_" class="arrow" onclick="dynsection.toggleFolder('32_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d9c/namespacegames.html" target="_self">games</a></td><td class="desc">(Mini)game implementations </td></tr>
<tr id="row_32_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d41/namespacegames_1_1memory__game.html" target="_self">memory_game</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Matching_game" target="_blank">Memory Game</a> implementation </td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/ddb/namespacegcd__of__n__numbers.html" target="_self">gcd_of_n_numbers</a></td><td class="desc">Compute GCD of numbers in an array </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="dd/d8a/namespacegeometric__dist.html" target="_self">geometric_dist</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> algorithm implementation </td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process" target="_blank">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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="d7/d08/namespacegraph__coloring.html" target="_self">graph_coloring</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Graph_coloring" target="_blank">Graph Coloring</a> algorithm, </td></tr>
<tr id="row_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d9b/namespacegray__code.html" target="_self">gray_code</a></td><td class="desc">Generate n-bit Gray code </td></tr>
<tr id="row_40_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_40_" class="arrow" onclick="dynsection.toggleFolder('40_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d90/namespacegreedy__algorithms.html" target="_self">greedy_algorithms</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_40_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d2f/namespacegreedy__algorithms_1_1dijkstra.html" target="_self">dijkstra</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm" target="_blank">Dijkstra</a> algorithm implementation </td></tr>
<tr id="row_40_1_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d9a/namespacegreedy__algorithms_1_1stable__matching.html" target="_self">stable_matching</a></td><td class="desc">Functions for the Gale-Shapley Algorithm </td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d20/namespaceground__to__ground__projectile__motion.html" target="_self">ground_to_ground_projectile_motion</a></td><td class="desc">Functions for the Ground to ground <a href="https://en.wikipedia.org/wiki/Projectile_motion" target="_blank">projectile motion</a> equation </td></tr>
<tr id="row_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="d4/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> implementation </td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </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="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_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm" target="_blank">Horspool's</a> algorithm </td></tr>
<tr id="row_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/de1/namespacehouse__robber.html" target="_self">house_robber</a></td><td class="desc">Functions for the <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber</a> algorithm </td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d74/namespaceinorder__successor__of__bst.html" target="_self">inorder_successor_of_bst</a></td><td class="desc">Functions for the <a href="https://www.youtube.com/watch?v=5cPbNCrdotA" target="_blank">Inorder successor of a binary search tree</a> implementation </td></tr>
<tr id="row_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="d1/d64/namespaceinterpolation__search.html" target="_self">interpolation_search</a></td><td class="desc">Functions for the Recursive version of Inorder, Preorder, and Postorder <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm implementation </td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/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_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d73/namespaceiterative__tree__traversals.html" target="_self">iterative_tree_traversals</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm </td></tr>
<tr id="row_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="d5/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm </td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d4c/namespacek__nearest__neighbors.html" target="_self">k_nearest_neighbors</a></td><td class="desc">Functions for the [K-Nearest Neighbors algorithm] (<a href="https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm">https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm</a>) implementation </td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm" target="_blank">Kadane</a> algorithm </td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d41/namespacekaratsuba__algorithm.html" target="_self">karatsuba_algorithm</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Karatsuba_algorithm" target="_blank">Karatsuba algorithm for fast multiplication</a> implementation </td></tr>
<tr id="row_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="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_57_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/db6/namespaceknight__tour.html" target="_self">knight_tour</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Knight%27s_tour" target="_blank">Knight's tour</a> algorithm </td></tr>
<tr id="row_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/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </td></tr>
<tr id="row_59_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing" target="_blank">linear probing</a> algorithm </td></tr>
<tr id="row_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="d9/dd1/namespacelinear__recurrence__matrix.html" target="_self">linear_recurrence_matrix</a></td><td class="desc">Functions for <a href="https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/" target="_blank">Linear Recurrence Matrix</a> implementation </td></tr>
<tr id="row_61_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array" target="_blank">Dynamic Array</a> algorithm </td></tr>
<tr id="row_63_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcd/namespacelru__cache.html" target="_self">lru_cache</a></td><td class="desc">Implementation of the <a href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)" target="_blank">LRU caching algorithm</a> </td></tr>
<tr id="row_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="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> </td></tr>
<tr id="row_65_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d93/namespacemagic__sequence.html" target="_self">magic_sequence</a></td><td class="desc">Functions for the <a href="https://www.csplib.org/Problems/prob019/" target="_blank">Magic sequence</a> implementation </td></tr>
<tr id="row_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="d8/dc6/namespacemanacher.html" target="_self">manacher</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring" target="_blank">Manacher's Algorithm</a> implementation </td></tr>
<tr id="row_67_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </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="dd/d43/namespace_m_d5.html" target="_self">MD5</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/MD5" target="_blank">MD5</a> algorithm implementation </td></tr>
<tr id="row_69_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search" target="_blank">Median search</a> algorithm </td></tr>
<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_71_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/daa/namespacemidpoint__rule.html" target="_self">midpoint_rule</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Midpoint_method" target="_blank">Midpoint Integral</a> method implementation </td></tr>
<tr id="row_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="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/" target="_blank">minimum coin exchange</a> problem </td></tr>
<tr id="row_73_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> implementation </td></tr>
<tr id="row_75_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
<tr id="row_77_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle </td></tr>
<tr id="row_79_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html" target="_blank">nCr modulo p</a> implementation </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For assert </td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_85_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_85_" class="arrow" onclick="dynsection.toggleFolder('85_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_85_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/dde/namespaceothers_1_1_cache.html" target="_self">Cache</a></td><td class="desc"><a class="el" href="db/dde/namespaceothers_1_1_cache.html" title="Cache algorithm.">Cache</a> algorithm </td></tr>
<tr id="row_86_" 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/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_87_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting" target="_blank">Pancake sort</a> algorithm </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
<tr id="row_91_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_93_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing" target="_blank">quadratic probing</a> algorithm </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for [<a class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort" target="_blank">Radix sort</a> algorithm </td></tr>
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
<tr id="row_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="d2/da7/namespacefind__non__repeating__integer.html" target="_self">find_non_repeating_integer</a></td><td class="desc">Functions to find the non repeating integer in an array of repeating integers. <a href="https://leetcode.com/problems/single-number/" target="_blank">Single Number</a> </td></tr>
<tr id="row_33_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_33_" class="arrow" onclick="dynsection.toggleFolder('33_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d9c/namespacegames.html" target="_self">games</a></td><td class="desc">(Mini)game implementations </td></tr>
<tr id="row_33_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d41/namespacegames_1_1memory__game.html" target="_self">memory_game</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Matching_game" target="_blank">Memory Game</a> implementation </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="d2/ddb/namespacegcd__of__n__numbers.html" target="_self">gcd_of_n_numbers</a></td><td class="desc">Compute GCD of numbers in an array </td></tr>
<tr id="row_35_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d8a/namespacegeometric__dist.html" target="_self">geometric_dist</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> algorithm implementation </td></tr>
<tr id="row_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="d5/d5f/namespacegeometry.html" target="_self">geometry</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_37_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d0f/namespacegram__schmidt.html" target="_self">gram_schmidt</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process" target="_blank">Gram Schmidt Orthogonalisation Process</a> </td></tr>
<tr id="row_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="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_39_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d08/namespacegraph__coloring.html" target="_self">graph_coloring</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Graph_coloring" target="_blank">Graph Coloring</a> algorithm, </td></tr>
<tr id="row_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="de/d9b/namespacegray__code.html" target="_self">gray_code</a></td><td class="desc">Generate n-bit Gray code </td></tr>
<tr id="row_41_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_41_" class="arrow" onclick="dynsection.toggleFolder('41_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d90/namespacegreedy__algorithms.html" target="_self">greedy_algorithms</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_41_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d2f/namespacegreedy__algorithms_1_1dijkstra.html" target="_self">dijkstra</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm" target="_blank">Dijkstra</a> algorithm implementation </td></tr>
<tr id="row_41_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d9a/namespacegreedy__algorithms_1_1stable__matching.html" target="_self">stable_matching</a></td><td class="desc">Functions for the Gale-Shapley Algorithm </td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d20/namespaceground__to__ground__projectile__motion.html" target="_self">ground_to_ground_projectile_motion</a></td><td class="desc">Functions for the Ground to ground <a href="https://en.wikipedia.org/wiki/Projectile_motion" target="_blank">projectile motion</a> equation </td></tr>
<tr id="row_43_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d1c/namespacehamming__distance.html" target="_self">hamming_distance</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Hamming_distance" target="_blank">Hamming distance</a> implementation </td></tr>
<tr id="row_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="d6/d0c/namespacehashing.html" target="_self">hashing</a></td><td class="desc">Hashing algorithms </td></tr>
<tr id="row_45_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm" target="_blank">Horspool's</a> algorithm </td></tr>
<tr id="row_47_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de1/namespacehouse__robber.html" target="_self">house_robber</a></td><td class="desc">Functions for the <a href="https://labuladong.gitbook.io/algo-en/i.-dynamic-programming/houserobber" target="_blank">House Robber</a> algorithm </td></tr>
<tr id="row_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="dd/d74/namespaceinorder__successor__of__bst.html" target="_self">inorder_successor_of_bst</a></td><td class="desc">Functions for the <a href="https://www.youtube.com/watch?v=5cPbNCrdotA" target="_blank">Inorder successor of a binary search tree</a> implementation </td></tr>
<tr id="row_49_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespaceinterpolation__search.html" target="_self">interpolation_search</a></td><td class="desc">Functions for the Recursive version of Inorder, Preorder, and Postorder <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm implementation </td></tr>
<tr id="row_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/d13/namespaceinversion.html" target="_self">inversion</a></td><td class="desc">Functions for counting inversions using Merge Sort algorithm </td></tr>
<tr id="row_51_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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="dd/d73/namespaceiterative__tree__traversals.html" target="_self">iterative_tree_traversals</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Tree_traversal" target="_blank">Traversal of the Tree</a> algorithm </td></tr>
<tr id="row_53_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm" target="_blank">Jarvis’s</a> algorithm </td></tr>
<tr id="row_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="d7/d4c/namespacek__nearest__neighbors.html" target="_self">k_nearest_neighbors</a></td><td class="desc">Functions for the [K-Nearest Neighbors algorithm] (<a href="https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm">https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm</a>) implementation </td></tr>
<tr id="row_55_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm" target="_blank">Kadane</a> algorithm </td></tr>
<tr id="row_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="de/d41/namespacekaratsuba__algorithm.html" target="_self">karatsuba_algorithm</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Karatsuba_algorithm" target="_blank">Karatsuba algorithm for fast multiplication</a> implementation </td></tr>
<tr id="row_57_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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="d1/db6/namespaceknight__tour.html" target="_self">knight_tour</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Knight%27s_tour" target="_blank">Knight's tour</a> algorithm </td></tr>
<tr id="row_59_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </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/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing" target="_blank">linear probing</a> algorithm </td></tr>
<tr id="row_61_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dd1/namespacelinear__recurrence__matrix.html" target="_self">linear_recurrence_matrix</a></td><td class="desc">Functions for <a href="https://www.hackerearth.com/practice/notes/matrix-exponentiation-1/" target="_blank">Linear Recurrence Matrix</a> implementation </td></tr>
<tr id="row_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="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_63_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d27/namespacelist__array.html" target="_self">list_array</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Dynamic_array" target="_blank">Dynamic Array</a> algorithm </td></tr>
<tr id="row_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="d8/dcd/namespacelru__cache.html" target="_self">lru_cache</a></td><td class="desc">Implementation of the <a href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)" target="_blank">LRU caching algorithm</a> </td></tr>
<tr id="row_65_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> </td></tr>
<tr id="row_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="d8/d93/namespacemagic__sequence.html" target="_self">magic_sequence</a></td><td class="desc">Functions for the <a href="https://www.csplib.org/Problems/prob019/" target="_blank">Magic sequence</a> implementation </td></tr>
<tr id="row_67_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dc6/namespacemanacher.html" target="_self">manacher</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring" target="_blank">Manacher's Algorithm</a> implementation </td></tr>
<tr id="row_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="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_69_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d43/namespace_m_d5.html" target="_self">MD5</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/MD5" target="_blank">MD5</a> algorithm implementation </td></tr>
<tr id="row_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="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search" target="_blank">Median search</a> algorithm </td></tr>
<tr id="row_71_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </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="d9/daa/namespacemidpoint__rule.html" target="_self">midpoint_rule</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Midpoint_method" target="_blank">Midpoint Integral</a> method implementation </td></tr>
<tr id="row_73_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/" target="_blank">minimum coin exchange</a> problem </td></tr>
<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d12/namespace_minimum.html" target="_self">Minimum</a></td><td class="desc">Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> algorithm </td></tr>
<tr id="row_75_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/d64/namespacemodular__division.html" target="_self">modular_division</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/modular-division" target="_blank">Modular Division</a> implementation </td></tr>
<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/da4/namespacemonte__carlo.html" target="_self">monte_carlo</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Monte_Carlo_integration" target="_blank">Monte Carlo Integration</a> implementation </td></tr>
<tr id="row_77_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for [Morse Code] (<a href="https://en.wikipedia.org/wiki/Morse_code">https://en.wikipedia.org/wiki/Morse_code</a>) </td></tr>
<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d36/namespacen__bonacci.html" target="_self">n_bonacci</a></td><td class="desc">Functions for the <a href="http://oeis.org/wiki/N-bonacci_numbers" target="_blank">N-bonacci</a> implementation </td></tr>
<tr id="row_79_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle </td></tr>
<tr id="row_80_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_81_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_82_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html" target="_blank">nCr modulo p</a> implementation </td></tr>
<tr id="row_83_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_84_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For assert </td></tr>
<tr id="row_85_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/d6d/namespaceoperations__on__datastructures.html" target="_self">operations_on_datastructures</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_86_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_86_" class="arrow" onclick="dynsection.toggleFolder('86_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">For <code>vector</code> </td></tr>
<tr id="row_86_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/dde/namespaceothers_1_1_cache.html" target="_self">Cache</a></td><td class="desc"><a class="el" href="db/dde/namespaceothers_1_1_cache.html" title="Cache algorithm.">Cache</a> algorithm </td></tr>
<tr id="row_87_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_88_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting" target="_blank">Pancake sort</a> algorithm </td></tr>
<tr id="row_89_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/dd0/namespacephysics.html" target="_self">physics</a></td><td class="desc">For IO operations </td></tr>
<tr id="row_90_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_91_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d88/namespaceprefix__sum__array.html" target="_self">prefix_sum_array</a></td><td class="desc">Range sum queries using prefix-sum-array </td></tr>
<tr id="row_92_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/ded/namespaceprobability.html" target="_self">probability</a></td><td class="desc">Probability algorithms </td></tr>
<tr id="row_93_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition" target="_blank">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_94_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing" target="_blank">quadratic probing</a> algorithm </td></tr>
<tr id="row_95_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for [<a class="el" href="dc/db5/struct_queue.html">Queue</a> using Array] (<a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">https://www.geeksforgeeks.org/array-implementation-of-queue-simple/</a>) implementation </td></tr>
<tr id="row_96_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2b/namespacequick__sort.html" target="_self">quick_sort</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Quicksort" target="_blank">Quick sort implementation</a> in C++ </td></tr>
<tr id="row_97_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort" target="_blank">Radix sort</a> algorithm </td></tr>
<tr id="row_98_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d6b/namespacerandom__pivot__quick__sort.html" target="_self">random_pivot_quick_sort</a></td><td class="desc">Functions for the <a href="https://www.sanfoundry.com/cpp-program-implement-quick-sort-using-randomisation" target="_blank">Random Pivot Quick Sort</a> implementation </td></tr>
<tr id="row_99_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d69/namespacerange__queries.html" target="_self">range_queries</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_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d60/namespacerat__maze.html" target="_self">rat_maze</a></td><td class="desc">Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze</a> algorithm </td></tr>
<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods" target="_blank">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array" target="_blank">Saddleback Algorithm</a> </td></tr>
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
<tr id="row_107_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
<tr id="row_109_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">For working with vectors </td></tr>
<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
<tr id="row_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort" target="_blank">Strand Sort</a> algorithm </td></tr>
<tr id="row_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d91/namespacestrassens__multiplication.html" target="_self">strassens_multiplication</a></td><td class="desc">Namespace for performing strassen's multiplication </td></tr>
<tr id="row_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dd6/namespacestring.html" target="_self">string</a></td><td class="desc">String manipulation algorithms </td></tr>
<tr id="row_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_119_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_119_" class="arrow" onclick="dynsection.toggleFolder('119_')">&#9658;</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">String algorithms </td></tr>
<tr id="row_119_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dbc/namespacestrings_1_1boyer__moore.html" target="_self">boyer_moore</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_string-search_algorithm" target="_blank">Boyer Moore</a> algorithm implementation </td></tr>
<tr id="row_120_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
<tr id="row_121_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
<tr id="row_122_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d3a/namespacesubset__sum.html" target="_self">subset_sum</a></td><td class="desc">Functions for [Sub-set sum problem] (<a href="https://en.wikipedia.org/wiki/Subset_sum_problem">https://en.wikipedia.org/wiki/Subset_sum_problem</a>) algorithm </td></tr>
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> </td></tr>
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
<tr id="row_129_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_131_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d84/namespaceutils.html" target="_self">utils</a></td><td class="desc">This namespace contains the definitions of the functions called from the class <a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" title="Class which contains all methods required for calculating nCr mod p.">math::ncr_modulo_p::NCRModuloP</a> </td></tr>
<tr id="row_132_" 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_133_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">vigenère cipher</a> algorithm </td></tr>
<tr id="row_134_" 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/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
<tr id="row_135_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_136_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
<tr id="row_137_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d21/namespacewindowed__median.html" target="_self">windowed_median</a></td><td class="desc">Functions for the Windowed Median algorithm implementation </td></tr>
<tr id="row_138_" 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/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/" target="_blank">Word Break</a> problem </td></tr>
<tr id="row_139_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher" target="_blank">XOR cipher</a> algorithm </td></tr>
<tr id="row_101_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/dc5/namespacereverse__binary__tree.html" target="_self">reverse_binary_tree</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/reverse-tree-path/" target="_blank">Reverse a Binary Tree</a> implementation </td></tr>
<tr id="row_102_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods" target="_blank">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_103_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array" target="_blank">Saddleback Algorithm</a> </td></tr>
<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </td></tr>
<tr id="row_105_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d4a/namespaceselection__sort__recursive.html" target="_self">selection_sort_recursive</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion </td></tr>
<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d88/namespaceset_kth_bit.html" target="_self">setKthBit</a></td><td class="desc">Functions for the [From the right, set the Kth bit in the binary representation of N] (<a href="https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/">https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/</a>) implementation </td></tr>
<tr id="row_107_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/dd3/namespace_s_h_a.html" target="_self">SHA</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/SHA-1" target="_blank">SHA-1</a> algorithm implementation </td></tr>
<tr id="row_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_109_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d6d/namespacesimpson__method.html" target="_self">simpson_method</a></td><td class="desc">Contains the Simpson's method implementation </td></tr>
<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">For working with vectors </td></tr>
<tr id="row_111_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Functions for Implementation of <a href="https://brilliant.org/wiki/sparse-table/" target="_blank">Sparse Table</a> </td></tr>
<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_113_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d1c/namespacestack__using__queue.html" target="_self">stack_using_queue</a></td><td class="desc">Functions for the <a href="https://www.studytonight.com/data-structures/stack-using-queue" target="_blank">Stack Using Queue</a> implementation </td></tr>
<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_115_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_116_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort" target="_blank">Strand Sort</a> algorithm </td></tr>
<tr id="row_117_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d91/namespacestrassens__multiplication.html" target="_self">strassens_multiplication</a></td><td class="desc">Namespace for performing strassen's multiplication </td></tr>
<tr id="row_118_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dd6/namespacestring.html" target="_self">string</a></td><td class="desc">String manipulation algorithms </td></tr>
<tr id="row_119_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_120_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_120_" class="arrow" onclick="dynsection.toggleFolder('120_')">&#9658;</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">String algorithms </td></tr>
<tr id="row_120_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dbc/namespacestrings_1_1boyer__moore.html" target="_self">boyer_moore</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore_string-search_algorithm" target="_blank">Boyer Moore</a> algorithm implementation </td></tr>
<tr id="row_121_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d74/namespacesubarray__sum.html" target="_self">subarray_sum</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset sum</a> implementation </td></tr>
<tr id="row_122_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/def/namespacesublist__search.html" target="_self">sublist_search</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sublist-search-search-a-linked-list-in-another-list" target="_blank">Sublist Search</a> implementation </td></tr>
<tr id="row_123_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dc/d3a/namespacesubset__sum.html" target="_self">subset_sum</a></td><td class="desc">Functions for [Sub-set sum problem] (<a href="https://en.wikipedia.org/wiki/Subset_sum_problem">https://en.wikipedia.org/wiki/Subset_sum_problem</a>) algorithm </td></tr>
<tr id="row_124_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="de/d95/namespace_subsets.html" target="_self">Subsets</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem </td></tr>
<tr id="row_125_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d9f/namespacesudoku__solver.html" target="_self">sudoku_solver</a></td><td class="desc">Functions for the <a href="https://en.wikipedia.org/wiki/Sudoku" target="_blank">Sudoku Solver</a> implementation </td></tr>
<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/df4/namespacetests.html" target="_self">tests</a></td><td class="desc">Testcases to check Union of Two Arrays </td></tr>
<tr id="row_127_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d3f/namespacetravelling_salesman__bitmanipulation.html" target="_self">travellingSalesman_bitmanipulation</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/travelling-salesman-problem-set-1/" target="_blank">Travelling Salesman Bitmask</a> implementation </td></tr>
<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree" target="_blank">2–3–4 tree</a> </td></tr>
<tr id="row_129_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d8e/namespacetrie__operations.html" target="_self">trie_operations</a></td><td class="desc">Functions for <a href="https://iq.opengenus.org/autocomplete-using-trie-data-structure/" target="_blank">Trie datastructure</a> implementation </td></tr>
<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d0a/namespacetrie__using__hashmap.html" target="_self">trie_using_hashmap</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Trie" target="_blank">Trie</a> data structure using hashmap implementation </td></tr>
<tr id="row_131_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/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_132_" 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/d84/namespaceutils.html" target="_self">utils</a></td><td class="desc">This namespace contains the definitions of the functions called from the class <a class="el" href="d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html" title="Class which contains all methods required for calculating nCr mod p.">math::ncr_modulo_p::NCRModuloP</a> </td></tr>
<tr id="row_133_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/d91/namespacevector__cross.html" target="_self">vector_cross</a></td><td class="desc">Functions for Vector Cross Product algorithms </td></tr>
<tr id="row_134_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher" target="_blank">vigenère cipher</a> algorithm </td></tr>
<tr id="row_135_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d21/namespacewave__sort.html" target="_self">wave_sort</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/sort-array-wave-form-2/" target="_blank">Wave sort</a> implementation </td></tr>
<tr id="row_136_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/" target="_blank">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_137_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="db/d03/namespacewildcard__matching.html" target="_self">wildcard_matching</a></td><td class="desc">Functions for the <a href="https://www.geeksforgeeks.org/wildcard-pattern-matching/" target="_blank">Wildcard Matching</a> problem </td></tr>
<tr id="row_138_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d21/namespacewindowed__median.html" target="_self">windowed_median</a></td><td class="desc">Functions for the Windowed Median algorithm implementation </td></tr>
<tr id="row_139_" class="odd"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/" target="_blank">Word Break</a> problem </td></tr>
<tr id="row_140_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher" target="_blank">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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