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<p>Counting Inversions using <a href="https://en.wikipedia.org/wiki/Merge_sort">Merge Sort</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Include dependency graph for count_inversions.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:d5/d91/namespacesorting"><td class="memItemLeft" align="right" valign="top"> &#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">Sorting algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d9/d13/namespaceinversion"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d13/namespaceinversion.html">inversion</a></td></tr>
<tr class="memdesc:d9/d13/namespaceinversion"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for counting inversions using Merge Sort algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aad643c14734394e784a75169cb58132f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:aad643c14734394e784a75169cb58132f"><td class="memTemplItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f">sorting::inversion::merge</a> (T *arr, T *temp, uint32_t left, uint32_t mid, uint32_t right)</td></tr>
<tr class="memdesc:aad643c14734394e784a75169cb58132f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to merge two sub-arrays. <a href="../../d2/d26/count__inversions_8cpp.html#aad643c14734394e784a75169cb58132f">More...</a><br /></td></tr>
<tr class="separator:aad643c14734394e784a75169cb58132f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae97a486e14101c4822ea8dc47f0d1661"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ae97a486e14101c4822ea8dc47f0d1661"><td class="memTemplItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">sorting::inversion::mergeSort</a> (T *arr, T *temp, uint32_t left, uint32_t right)</td></tr>
<tr class="memdesc:ae97a486e14101c4822ea8dc47f0d1661"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implement merge Sort and count inverions while merging. <a href="../../d2/d26/count__inversions_8cpp.html#ae97a486e14101c4822ea8dc47f0d1661">More...</a><br /></td></tr>
<tr class="separator:ae97a486e14101c4822ea8dc47f0d1661"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3332498eabf6579ef059c0d0e9f4ec80"><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr class="memitem:a3332498eabf6579ef059c0d0e9f4ec80"><td class="memTemplItemLeft" align="right" valign="top">uint32_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a> (T *arr, const uint32_t size)</td></tr>
<tr class="memdesc:a3332498eabf6579ef059c0d0e9f4ec80"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function <a class="el" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80" title="Function countInversion() returns the number of inversion present in the input array....">countInversion()</a> returns the number of inversion present in the input array. Inversions are an estimate of how close or far off the array is to being sorted. <a href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">More...</a><br /></td></tr>
<tr class="separator:a3332498eabf6579ef059c0d0e9f4ec80"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a851ca6a0391d14fb49a97d55e4377497"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a851ca6a0391d14fb49a97d55e4377497"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497">sorting::inversion::show</a> (T *arr, const uint32_t array_size)</td></tr>
<tr class="memdesc:a851ca6a0391d14fb49a97d55e4377497"><td class="mdescLeft">&#160;</td><td class="mdescRight">UTILITY function to print array. <a href="../../d2/d26/count__inversions_8cpp.html#a851ca6a0391d14fb49a97d55e4377497">More...</a><br /></td></tr>
<tr class="separator:a851ca6a0391d14fb49a97d55e4377497"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test implementations. <a href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Counting Inversions using <a href="https://en.wikipedia.org/wiki/Merge_sort">Merge Sort</a> </p>
<p>Program to count the number of inversions in an array using merge-sort.</p>
<p>The count of inversions help to determine how close the array is to be sorted in ASCENDING order.</p>
<p>two elements a[i] and a[j] form an inversion if <code>a[i]</code> &gt; <code>a[j]</code> and i &lt; j</p>
<p>Time Complexity --&gt; <code>O(n.log n)</code></p>
<p>Space Complexity --&gt; <code>O(n)</code> ; additional array <code>temp[1..n]</code> </p>
<h3><a class="anchor" id="autotoc_md69"></a>
Algorithm</h3>
<ol type="1">
<li>The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.</li>
<li>Create a function merge that counts the number of inversions when two halves of the array are merged, create two indices i and j, i is the index for first half and j is an index of the second half. if <code>a[i]</code> is greater than <code>a[j]</code>, then there are (mid i) inversions, Because left and right subarrays are sorted, so all the remaining elements in left-subarray (a[i+1], a[i+2] … a[mid]) will be greater than a[j].</li>
<li>Create a recursive function to divide the array into halves and find the answer by summing the number of inversions is the first half, number of inversion in the second half and the number of inversions by merging the two.</li>
<li>The base case of recursion is when there is only one element in the given half.</li>
<li>Print the answer</li>
</ol>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/rakshitraj">Rakshit Raj</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a3332498eabf6579ef059c0d0e9f4ec80"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3332498eabf6579ef059c0d0e9f4ec80">&#9670;&nbsp;</a></span>countInversion()</h2>
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template&lt;class T &gt; </div>
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<td class="memname">uint32_t sorting::inversion::countInversion </td>
<td>(</td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const uint32_t&#160;</td>
<td class="paramname"><em>size</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>Function <a class="el" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80" title="Function countInversion() returns the number of inversion present in the input array....">countInversion()</a> returns the number of inversion present in the input array. Inversions are an estimate of how close or far off the array is to being sorted. </p>
<p>Number of inversions in a sorted array is 0. Number of inversion in an array[1...n] sorted in non-ascending order is n(n-1)/2, since each pair of elements contitute an inversion.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>- array, data member of std::vector&lt;int&gt;, input for counting inversions </td></tr>
<tr><td class="paramname">array_size</td><td>- number of elementa in the array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>number of inversions in input array, sorts the array </dd></dl>
<div class="fragment"><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; {</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> temp;</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; temp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/reserve.html">reserve</a>(size);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; temp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(size, 0);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, temp.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>(), 0, size - 1);</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160; {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160; <a class="code" href="../../d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Run test implementations</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160; <span class="comment">// body(); // test your own array</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aad643c14734394e784a75169cb58132f">&#9670;&nbsp;</a></span>merge()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">uint32_t sorting::inversion::merge </td>
<td>(</td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>temp</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>left</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>mid</em>, </td>
</tr>
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<td class="paramtype">uint32_t&#160;</td>
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<p>Function to merge two sub-arrays. </p>
<p><a class="el" href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge()</a> function is called from <a class="el" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort()</a> to merge the array after it split for sorting by the <a class="el" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort()</a> funtion.</p>
<p>In this case the merge fuction will also count and return inversions detected when merging the sub arrays.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>input array, data-menber of vector </td></tr>
<tr><td class="paramname">temp</td><td>stores the resultant merged array </td></tr>
<tr><td class="paramname">left</td><td>lower bound of <code>arr[]</code> and left-sub-array </td></tr>
<tr><td class="paramname">mid</td><td>midpoint, upper bound of left sub-array, <code>(mid+1)</code> gives the lower bound of right-sub-array </td></tr>
<tr><td class="paramname">right</td><td>upper bound of <code>arr[]</code> and right-sub-array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>number of inversions found in merge step </dd></dl>
<div class="fragment"><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; {</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; uint32_t i = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a>; <span class="comment">/* i --&gt; index of left sub-array */</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; uint32_t j = mid + 1; <span class="comment">/* j --&gt; index for right sub-array */</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; uint32_t k = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a>; <span class="comment">/* k --&gt; index for resultant array temp */</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160; uint32_t inv_count = 0; <span class="comment">// inversion count</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">while</span> ((i &lt;= mid) &amp;&amp; (j &lt;= right)) {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="keywordflow">if</span> (arr[i] &lt;= arr[j]) {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; temp[k++] = arr[i++];</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; temp[k++] = arr[j++];</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; inv_count +=</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; (mid - i +</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; 1); <span class="comment">// tricky; may vary depending on selection of sub-array</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; }</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="comment">// Add remaining elements from the larger subarray to the end of temp</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <span class="keywordflow">while</span> (i &lt;= mid) {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; temp[k++] = arr[i++];</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordflow">while</span> (j &lt;= right) {</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; temp[k++] = arr[j++];</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <span class="comment">// Copy temp[] to arr[]</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">for</span> (k = left; k &lt;= <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a>; k++) {</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; arr[k] = temp[k];</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">return</span> inv_count;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae97a486e14101c4822ea8dc47f0d1661">&#9670;&nbsp;</a></span>mergeSort()</h2>
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template&lt;typename T &gt; </div>
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<tr>
<td class="memname">uint32_t sorting::inversion::mergeSort </td>
<td>(</td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>temp</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>left</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>right</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Implement merge Sort and count inverions while merging. </p>
<p>The <a class="el" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort()</a> function implements Merge Sort, a Divide and conquer algorithm, it divides the input array into two halves and calls itself for each sub-array and then calls the <a class="el" href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge()</a> function to merge the two halves.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>- array to be sorted </td></tr>
<tr><td class="paramname">temp</td><td>- merged resultant array </td></tr>
<tr><td class="paramname">left</td><td>- lower bound of array </td></tr>
<tr><td class="paramname">right</td><td>- upper bound of array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>number of inversions in array </dd></dl>
<div class="fragment"><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; uint32_t mid = 0, inv_count = 0;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="keywordflow">if</span> (right &gt; left) {</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <span class="comment">// midpoint to split the array</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; mid = (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> + <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">left</a>) / 2;</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// Add inversions in left and right sub-arrays</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; inv_count += <a class="code" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, temp, left, mid); <span class="comment">// left sub-array</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; inv_count += <a class="code" href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a>(arr, temp, mid + 1, right);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <span class="comment">// inversions in the merge step</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; inv_count += <a class="code" href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge</a>(arr, temp, left, mid, right);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="keywordflow">return</span> inv_count;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;}</div>
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template&lt;typename T &gt; </div>
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<td class="memname">void sorting::inversion::show </td>
<td>(</td>
<td class="paramtype">T *&#160;</td>
<td class="paramname"><em>arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const uint32_t&#160;</td>
<td class="paramname"><em>array_size</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</div><div class="memdoc">
<p>UTILITY function to print array. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr[]</td><td>array to print </td></tr>
<tr><td class="paramname">array_size</td><td>size of input array arr[] </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160; {</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Printing array: \n&quot;</span>;</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160; <span class="keywordflow">for</span> (uint32_t i = 0; i &lt; array_size; i++) {</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; arr[i];</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160; }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160; {</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160; <span class="comment">// Test 1</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> arr1 = {</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160; 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84,</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160; 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67,</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160; 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160; 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33,</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160; 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160; 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160; uint32_t size1 = arr1.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160; uint32_t inv_count1 = 4950;</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160; uint32_t result1 = <a class="code" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr1.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>(), size1);</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160; assert(inv_count1 == result1);</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160; <span class="comment">// Test 2</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr2 = {22, 66, 75, 23, 11, 87, 2, 44, 98, 43};</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160; uint32_t size2 = arr2.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160; uint32_t inv_count2 = 20;</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160; uint32_t result2 = <a class="code" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr2.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>(), size2);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160; assert(inv_count2 == result2);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160; <span class="comment">// Test 3</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;double&gt;</a> arr3 = {33.1, 45.2, 65.4, 76.5, 1.0,</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160; 2.9, 5.4, 7.7, 88.9, 12.4};</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160; uint32_t size3 = arr3.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160; uint32_t inv_count3 = 21;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160; uint32_t result3 = <a class="code" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr3.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>(), size3);</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160; assert(inv_count3 == result3);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160; <span class="comment">// Test 4</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;char&gt;</a> arr4 = {<span class="charliteral">&#39;a&#39;</span>, <span class="charliteral">&#39;b&#39;</span>, <span class="charliteral">&#39;c&#39;</span>, <span class="charliteral">&#39;d&#39;</span>, <span class="charliteral">&#39;e&#39;</span>};</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160; uint32_t size4 = arr4.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160; uint32_t inv_count4 = 0;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160; uint32_t result4 = <a class="code" href="../../d2/d26/count__inversions_8cpp.html#a3332498eabf6579ef059c0d0e9f4ec80">sorting::inversion::countInversion</a>(arr4.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/data.html">data</a>(), size4);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160; assert(inv_count4 == result4);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;}</div>
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var count__inversions_8cpp =
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<div class="ttc" id="avector__important__functions_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d61/vector__important__functions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> vector_important_functions.cpp:11</div></div>
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<div class="ttc" id="anamespaceqr__algorithm_html_a763896dbb4a7e95c4a1e614ac0819d66"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#a763896dbb4a7e95c4a1e614ac0819d66">qr_algorithm::eigen_values</a></div><div class="ttdeci">std::valarray&lt; double &gt; eigen_values(std::valarray&lt; std::valarray&lt; double &gt;&gt; *A, bool print_intermediates=false)</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:98</div></div>
<div class="ttc" id="anamespaceinversion_html"><div class="ttname"><a href="../../d9/d13/namespaceinversion.html">inversion</a></div><div class="ttdoc">Functions for counting inversions using Merge Sort algorithm.</div></div>
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<div class="ttc" id="anamespacestring__search_html_aed769d565b705a9b3e0eb1ec74088893"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#aed769d565b705a9b3e0eb1ec74088893">string_search::recalculate_hash</a></div><div class="ttdeci">int64_t recalculate_hash(const std::string &amp;s, int old_index, int new_index, int64_t old_hash, int patLength)</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:42</div></div>
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<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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@@ -550,7 +555,7 @@ Functions</h2></td></tr>
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<div class="ttc" id="anamespacestring__search_html_a21c673d56cbf67b1d2ee4d869185b7d9"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#a21c673d56cbf67b1d2ee4d869185b7d9">string_search::rabin_karp</a></div><div class="ttdeci">int rabin_karp(const std::string &amp;str, const std::string &amp;pat)</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:83</div></div>

View File

@@ -389,6 +389,7 @@ Sorting</h1>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/bucket_sort.cpp">Bucket Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/cocktail_selection_sort.cpp">Cocktail Selection Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/comb_sort.cpp">Comb Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/count_inversions.cpp">Count Inversions</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/counting_sort.cpp">Counting Sort</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/counting_sort_string.cpp">Counting Sort String</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/sorting/cycle_sort.cpp">Cycle Sort</a></li>

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@@ -165,6 +165,8 @@ Functions</h2></td></tr>
<p>for io operations</p>
<p>Sorting Algorithms.</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html" title="STL class.">std::vector</a></p>
<p>for assert for typedef datatype uint64_t for IO operations</p>
<p>Sorting algorithms</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a> for assert for io operations</p>
<p>Sorting algorithms</p>
<p>Sorting algorithms</p>

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<p>Functions for counting inversions using Merge Sort algorithm.
<a href="../../d9/d13/namespaceinversion.html#details">More...</a></p>
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<div class="textblock"><p>Functions for counting inversions using Merge Sort algorithm. </p>
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@@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
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</li>

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, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d5/d90/palindrome__partitioning_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">palindrome_partitioning.cpp</a>
, <a class="el" href="d9/d89/fibonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">fibonacci.cpp</a>
@@ -155,7 +156,8 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.cpp</a>
</li>
<li>test2()
: <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
: <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
@@ -168,20 +170,19 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
</li>
<li>test3()
: <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
: <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
</li>
<li>test_1()
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">heavy_light_decomposition.cpp</a>
, <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">pigeonhole_sort.cpp</a>
: <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">pigeonhole_sort.cpp</a>
, <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">heavy_light_decomposition.cpp</a>
</li>
<li>test_2()
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">heavy_light_decomposition.cpp</a>
@@ -222,31 +223,31 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: <a class="el" href="d7/d75/postfix__evaluation_8cpp.html#a5b97d12e8b61484f756a8721992bfae1">postfix_evaluation.cpp</a>
</li>
<li>test_int()
: <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
</li>
<li>test_lamniscate()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
</li>
<li>tests()
: <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>
, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a>
, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

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@@ -126,14 +126,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
<li>is_square()
: <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4921874435266592b222e3f2eda0e01f">ordinary_least_squares_regressor.cpp</a>
</li>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
</li>
<li>isPrime()
: <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a09660096b134753128952246f4f4e4bd">modular_inverse_fermat_little_theorem.cpp</a>
</li>
<li>isprime
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">prime_factorization.cpp</a>
<li>IsPrime()
: <a class="el" href="da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">primality_test.cpp</a>
</li>
<li>it_ternary_search()
: <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">ternary_search.cpp</a>

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@@ -137,6 +137,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">heap_sort.cpp</a>
, <a class="el" href="d2/d21/gnome__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gnome_sort.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">cycle_sort.cpp</a>
, <a class="el" href="d2/d26/count__inversions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">count_inversions.cpp</a>
, <a class="el" href="dc/db5/text__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">text_search.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">connected_components.cpp</a>
, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>

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@@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
<li>show_pascal()
: <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>Sieve()
: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
</li>
<li>sieve()
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a60fa6579eab0db3c1c0ab1bf6d651be3">sieve_of_eratosthenes.cpp</a>
</li>
<li>SieveOfEratosthenes()
: <a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a>
</li>

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@@ -105,20 +105,21 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d3/d22/saddleback__search_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">saddleback_search.cpp</a>
, <a class="el" href="d5/d33/gram__schmidt_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">gram_schmidt.cpp</a>
, <a class="el" href="d5/ddb/bogo__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">bogo_sort.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d2/d26/count__inversions_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">count_inversions.cpp</a>
, <a class="el" href="d9/d31/coin__change__topdown_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">coin_change_topdown.cpp</a>
, <a class="el" href="d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">neural_network.cpp</a>
, <a class="el" href="de/d07/cycle__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cycle_sort.cpp</a>
, <a class="el" href="d2/d21/gnome__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">gnome_sort.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">armstrong_number.cpp</a>
, <a class="el" href="d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">heap_sort.cpp</a>
, <a class="el" href="de/d7b/merge__insertion__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">merge_insertion_sort.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="dd/d12/vigenere__cipher_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">vigenere_cipher.cpp</a>
, <a class="el" href="d6/d10/cut__rod_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">cut_rod.cpp</a>
, <a class="el" href="d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">check_amicable_pair.cpp</a>
, <a class="el" href="d3/d92/pancake__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">pancake_sort.cpp</a>
, <a class="el" href="dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">strand_sort.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#abbbcebf3a2d0c67f4c3cfb5511a97981">double_factorial.cpp</a>
, <a class="el" href="d5/d4c/group__sorting.html#gaa8dca7b867074164d5f45b0f3851269d">wiggle_sort.cpp</a>
, <a class="el" href="d3/dfe/horspool_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">horspool.cpp</a>
, <a class="el" href="d5/d90/palindrome__partitioning_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">palindrome_partitioning.cpp</a>
, <a class="el" href="d9/d89/fibonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">fibonacci.cpp</a>
@@ -155,8 +156,9 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">qr_eigen_values.cpp</a>
</li>
<li>test2()
: <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
: <a class="el" href="d4/d83/sum__of__digits_8cpp.html#a0283886819c7c140a023582b7269e2d0">sum_of_digits.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">brent_method_extrema.cpp</a>
, <a class="el" href="da/df2/durand__kerner__roots_8cpp.html#a0283886819c7c140a023582b7269e2d0">durand_kerner_roots.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a0283886819c7c140a023582b7269e2d0">golden_search_extrema.cpp</a>
, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a0283886819c7c140a023582b7269e2d0">lu_decompose.cpp</a>
@@ -168,24 +170,23 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a0283886819c7c140a023582b7269e2d0">kohonen_som_trace.cpp</a>
, <a class="el" href="d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">large_factorial.cpp</a>
</li>
<li>test3()
: <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
: <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_topology.cpp</a>
, <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">kohonen_som_trace.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
, <a class="el" href="d6/d7a/golden__search__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">golden_search_extrema.cpp</a>
, <a class="el" href="d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">adaline_learning.cpp</a>
, <a class="el" href="d0/d01/smallest__circle_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">smallest_circle.cpp</a>
, <a class="el" href="db/d01/brent__method__extrema_8cpp.html#a6d0455dd5c30adda100e95f0423c786e">brent_method_extrema.cpp</a>
, <a class="el" href="dd/d0c/hamiltons__cycle_8cpp.html#a0cc94918b6831f308d4fe4fa27f08299">hamiltons_cycle.cpp</a>
</li>
<li>test_1()
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">heavy_light_decomposition.cpp</a>
, <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">pigeonhole_sort.cpp</a>
</li>
<li>test_2()
: <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#a458410412185a5f09199deaff7157a8d">pigeonhole_sort.cpp</a>
, <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">heavy_light_decomposition.cpp</a>
: <a class="el" href="d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">heavy_light_decomposition.cpp</a>
, <a class="el" href="dd/da8/pigeonhole__sort_8cpp.html#a458410412185a5f09199deaff7157a8d">pigeonhole_sort.cpp</a>
</li>
<li>test_2d_classes()
: <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a6b5e744876fd980a3451cbb385d4e755">kohonen_som_topology.cpp</a>
@@ -222,8 +223,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: <a class="el" href="d7/d75/postfix__evaluation_8cpp.html#a5b97d12e8b61484f756a8721992bfae1">postfix_evaluation.cpp</a>
</li>
<li>test_int()
: <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
, <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
: <a class="el" href="d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">shell_sort2.cpp</a>
, <a class="el" href="d3/d4c/quick__sort__3_8cpp.html#a07e5c62de28aeddea986890ce7ac1bda">quick_sort_3.cpp</a>
</li>
<li>test_lamniscate()
: <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a412b7afa156306b1f8788643c91a1c60">kohonen_som_trace.cpp</a>
@@ -232,24 +233,24 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: <a class="el" href="d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">brute_force_string_searching.cpp</a>
</li>
<li>tests()
: <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
: <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="df/d82/breadth__first__search_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">breadth_first_search.cpp</a>
, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>
, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>
, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a>
, <a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>
, <a class="el" href="d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">comb_sort.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
, <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">number_of_positive_divisors.cpp</a>
, <a class="el" href="de/dde/lowest__common__ancestor_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">lowest_common_ancestor.cpp</a>
, <a class="el" href="d8/d61/radix__sort2_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">radix_sort2.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">magic_number.cpp</a>
, <a class="el" href="d7/d1e/graph_2dijkstra_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">dijkstra.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d8/dd5/check__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">check_factorial.cpp</a>
, <a class="el" href="dd/d0d/insertion__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">insertion_sort.cpp</a>
, <a class="el" href="df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">connected_components.cpp</a>
, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">sieve_of_eratosthenes.cpp</a>
, <a class="el" href="d7/d07/bidirectional__dijkstra_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">bidirectional_dijkstra.cpp</a>
, <a class="el" href="d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">complex_numbers.cpp</a>
, <a class="el" href="de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">ncr_modulo_p.cpp</a>
, <a class="el" href="d1/d9a/hopcroft__karp_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">hopcroft_karp.cpp</a>
, <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
, <a class="el" href="d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">double_factorial.cpp</a>
</li>
<li>TH()
: <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>

View File

@@ -347,12 +347,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
<li>quadraticProbe()
: <a class="el" href="d4/dd2/namespacequadratic__probing.html#ab431981b54c0bae1b2956f716aee1dcf">quadratic_probing</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
</ul>

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@@ -338,12 +338,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
<li>quadraticProbe()
: <a class="el" href="d4/dd2/namespacequadratic__probing.html#ab431981b54c0bae1b2956f716aee1dcf">quadratic_probing</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
<li>quickSort()
: <a class="el" href="d5/d91/namespacesorting.html#a50b66a1c652291b9a346ec7342967178">sorting</a>
</li>
<li>quicksort()
: <a class="el" href="d5/d91/namespacesorting.html#a9f59fe72dacc1f1218ef3c303d843168">sorting</a>
</li>
</ul>

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@@ -113,55 +113,56 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_15_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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="d5/d02/namespacehorspool.html" target="_self">horspool</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm">Horspool's</a> algorithm </td></tr>
<tr id="row_17_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_18_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/da7/namespacejarvis.html" target="_self">jarvis</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Gift_wrapping_algorithm">Jarviss</a> algorithm </td></tr>
<tr id="row_19_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d74/namespacekadane.html" target="_self">kadane</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Kadane%27s_algorithm">Kadane</a> algorithm </td></tr>
<tr id="row_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="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_21_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d2c/namespacelayers.html" target="_self">layers</a></td><td class="desc">This namespace contains layers used in MLP </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="d3/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </td></tr>
<tr id="row_23_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_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="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_25_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d77/namespacemachine__learning.html" target="_self">machine_learning</a></td><td class="desc">Machine learning algorithms </td></tr>
<tr id="row_26_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="dd/d47/namespacemath.html" target="_self">math</a></td><td class="desc">For <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html" title="STL class.">std::vector</a> </td></tr>
<tr id="row_27_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd4/namespacemedian__search.html" target="_self">median_search</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Median_search">Median search</a> algorithm </td></tr>
<tr id="row_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="de/d0a/namespacemerge__insertion.html" target="_self">merge_insertion</a></td><td class="desc">Combined Intersion-Merge sorting algorithm </td></tr>
<tr id="row_29_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/db8/namespacemincoins__topdown.html" target="_self">mincoins_topdown</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/coin-change/">minimum coin exchange</a> problem </td></tr>
<tr id="row_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="d6/d8d/namespacemorse.html" target="_self">morse</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Morse_code">Morse Code</a> </td></tr>
<tr id="row_31_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/da1/namespacen__queens.html" target="_self">n_queens</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle </td></tr>
<tr id="row_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="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_33_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle optimized </td></tr>
<tr id="row_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="d4/db9/namespacencr__modulo__p.html" target="_self">ncr_modulo_p</a></td><td class="desc">Functions for <a href="https://cp-algorithms.com/combinatorics/binomial-coefficients.html">nCr modulo p</a> implementation </td></tr>
<tr id="row_35_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d2e/namespaceneural__network.html" target="_self">neural_network</a></td><td class="desc">Neural Network or Multilayer Perceptron </td></tr>
<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For io operations </td></tr>
<tr id="row_37_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">Other 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="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_39_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting">Pancake sort</a> algorithm </td></tr>
<tr id="row_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="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_41_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_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/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_43_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
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<tr id="row_23_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/d78/namespacelinear__algebra.html" target="_self">linear_algebra</a></td><td class="desc">For io operations </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="d8/d89/namespacelinear__probing.html" target="_self">linear_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Linear_probing">linear probing</a> algorithm </td></tr>
<tr id="row_25_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d3/db0/namespacelinked__list.html" target="_self">linked_list</a></td><td class="desc">Functions for singly linked list algorithm </td></tr>
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<tr id="row_33_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/d44/namespacen__queens__all__solutions.html" target="_self">n_queens_all_solutions</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions </td></tr>
<tr id="row_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="d8/d14/namespacen__queens__optimized.html" target="_self">n_queens_optimized</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle optimized </td></tr>
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<tr id="row_37_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d1/de0/namespacenumerical__methods.html" target="_self">numerical_methods</a></td><td class="desc">For io operations </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="d0/d6f/namespaceothers.html" target="_self">others</a></td><td class="desc">Other algorithms </td></tr>
<tr id="row_39_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d89/namespacepalindrome__partitioning.html" target="_self">palindrome_partitioning</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/">Palindrome Partitioning</a> algorithm </td></tr>
<tr id="row_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="df/d10/namespacepancake__sort.html" target="_self">pancake_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Pancake_sorting">Pancake sort</a> algorithm </td></tr>
<tr id="row_41_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/de6/namespacepostfix__expression.html" target="_self">postfix_expression</a></td><td class="desc">Functions for Postfix Expression algorithm </td></tr>
<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/d3b/namespaceqr__algorithm.html" target="_self">qr_algorithm</a></td><td class="desc">Functions to compute <a href="https://en.wikipedia.org/wiki/QR_decomposition">QR decomposition</a> of any rectangular matrix </td></tr>
<tr id="row_43_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d4/dd2/namespacequadratic__probing.html" target="_self">quadratic_probing</a></td><td class="desc">An implementation of hash table using <a href="https://en.wikipedia.org/wiki/Quadratic_probing">quadratic probing</a> algorithm </td></tr>
<tr id="row_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="d9/d70/namespacequeue__using__array.html" target="_self">queue_using_array</a></td><td class="desc">Functions for <a href="https://www.geeksforgeeks.org/array-implementation-of-queue-simple/">Queue using Array</a> implementation </td></tr>
<tr id="row_45_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dda/namespaceradix__sort.html" target="_self">radix_sort</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Radix_sort">Radix sort</a> algorithm </td></tr>
<tr id="row_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="dd/d69/namespacerange__queries.html" target="_self">range_queries</a></td><td class="desc">Algorithms and Data Structures that support range queries and updates </td></tr>
<tr id="row_47_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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/">Rat in a Maze</a> algorithm </td></tr>
<tr id="row_47_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
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<tr id="row_49_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </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="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_51_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d5/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </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="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Range queries using sparse-tables </td></tr>
<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </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="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </td></tr>
<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">234 tree</a> </td></tr>
<tr id="row_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="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_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_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="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d6/d53/namespaceword__break.html" target="_self">word_break</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/word-break/">Word Break</a> problem </td></tr>
<tr id="row_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="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/de7/namespacerunge__kutta.html" target="_self">runge_kutta</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">Runge Kutta fourth order</a> method </td></tr>
<tr id="row_49_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/dda/namespacesaddleback.html" target="_self">saddleback</a></td><td class="desc">Function for implementing <a href="https://www.geeksforgeeks.org/saddleback-search-algorithm-in-a-2d-array">Saddleback Algorithm</a> </td></tr>
<tr id="row_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/dca/namespacesearch.html" target="_self">search</a></td><td class="desc">Search algorithms </td></tr>
<tr id="row_51_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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/d91/namespacesorting.html" target="_self">sorting</a></td><td class="desc">Sorting algorithms </td></tr>
<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d9/d55/namespacesparse__table.html" target="_self">sparse_table</a></td><td class="desc">Range queries using sparse-tables </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="da/dd3/namespacespirograph.html" target="_self">spirograph</a></td><td class="desc"></td></tr>
<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d2/dcf/namespacestatistics.html" target="_self">statistics</a></td><td class="desc">Statistical algorithms </td></tr>
<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/dcc/namespacestd.html" target="_self">std</a></td><td class="desc">STL namespace </td></tr>
<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d8/d1d/namespacestrand.html" target="_self">strand</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Strand_sort">Strand Sort</a> algorithm </td></tr>
<tr id="row_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="d9/d03/namespacestring__search.html" target="_self">string_search</a></td><td class="desc">String search algorithms </td></tr>
<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="df/dcb/namespacestrings.html" target="_self">strings</a></td><td class="desc">Algorithms with strings </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="d6/dab/namespacetree__234.html" target="_self">tree_234</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/2%E2%80%933%E2%80%934_tree">234 tree</a> </td></tr>
<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="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_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="d6/da2/namespacevigenere.html" target="_self">vigenere</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/Vigen%C3%A8re_cipher">vigenère cipher</a> algorithm </td></tr>
<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d0/d52/namespacewiggle__sort.html" target="_self">wiggle_sort</a></td><td class="desc">Functions for <a href="https://leetcode.com/problems/wiggle-sort-ii/">Wiggle Sort</a> algorithm </td></tr>
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<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="d7/d47/namespace_x_o_r.html" target="_self">XOR</a></td><td class="desc">Functions for <a href="https://en.wikipedia.org/wiki/XOR_cipher">XOR cipher</a> algorithm </td></tr>
</table>
</div><!-- directory -->
</div><!-- contents -->

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