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<p>Implementation of the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion.
<a href="#details">More...</a></p>
<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;vector&gt;</code><br />
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Include dependency graph for selection_sort_recursive.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:d5/d91/namespacesorting"><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>
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<tr class="memitem:df/d4a/namespaceselection__sort__recursive"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d4a/namespaceselection__sort__recursive.html">selection_sort_recursive</a></td></tr>
<tr class="memdesc:df/d4a/namespaceselection__sort__recursive"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Selection_sort" target="_blank">Selection sort</a> implementation using recursion. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a5454eeb691725ccac0f59df1e133f834"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a5454eeb691725ccac0f59df1e133f834"><td class="memTemplItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d4/d9f/selection__sort__recursive_8cpp.html#a5454eeb691725ccac0f59df1e133f834">sorting::selection_sort_recursive::findMinIndex</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;in_arr, uint64_t current_position=0)</td></tr>
<tr class="memdesc:a5454eeb691725ccac0f59df1e133f834"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function finds the index of the minimum element. <br /></td></tr>
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<tr class="memitem:ab6f7b33a070e376e1f4374e534435e89"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:ab6f7b33a070e376e1f4374e534435e89"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;in_arr, uint64_t current_position=0)</td></tr>
<tr class="memdesc:ab6f7b33a070e376e1f4374e534435e89"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements Selection sort. <br /></td></tr>
<tr class="separator:ab6f7b33a070e376e1f4374e534435e89"><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="../../d4/d9f/selection__sort__recursive_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<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>
<h3><a class="anchor" id="autotoc_md113"></a>
Implementation</h3>
<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>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a5454eeb691725ccac0f59df1e133f834" name="a5454eeb691725ccac0f59df1e133f834"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5454eeb691725ccac0f59df1e133f834">&#9670;&#160;</a></span>findMinIndex()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">uint64_t sorting::selection_sort_recursive::findMinIndex </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;&#160;</td>
<td class="paramname"><em>in_arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>current_position</em> = <code>0</code>&#160;</td>
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<p>The main function finds the index of the minimum element. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>type of array </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">in_arr</td><td>array whose minimum element is to be returned </td></tr>
<tr><td class="paramname">current_position</td><td>position/index from where the in_arr starts </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>index of the minimum element </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (current_position + 1 == in_arr.<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"> 58</span> <span class="keywordflow">return</span> current_position;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> uint64_t answer = <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#a5454eeb691725ccac0f59df1e133f834">findMinIndex</a>(in_arr, current_position + 1);</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (in_arr[current_position] &lt; in_arr[answer]) {</div>
<div class="line"><span class="lineno"> 62</span> answer = current_position;</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> answer;</div>
<div class="line"><span class="lineno"> 65</span>}</div>
<div class="ttc" id="aselection__sort__recursive_8cpp_html_a5454eeb691725ccac0f59df1e133f834"><div class="ttname"><a href="../../d4/d9f/selection__sort__recursive_8cpp.html#a5454eeb691725ccac0f59df1e133f834">sorting::selection_sort_recursive::findMinIndex</a></div><div class="ttdeci">uint64_t findMinIndex(const std::vector&lt; T &gt; &amp;in_arr, uint64_t current_position=0)</div><div class="ttdoc">The main function finds the index of the minimum element.</div><div class="ttdef"><b>Definition:</b> selection_sort_recursive.cpp:55</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 129</span> {</div>
<div class="line"><span class="lineno"> 130</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 131</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 132</span>}</div>
<div class="ttc" id="aselection__sort__recursive_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d4/d9f/selection__sort__recursive_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> selection_sort_recursive.cpp:94</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab6f7b33a070e376e1f4374e534435e89">&#9670;&#160;</a></span>selectionSortRecursive()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">void sorting::selection_sort_recursive::selectionSortRecursive </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;&#160;</td>
<td class="paramname"><em>in_arr</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint64_t&#160;</td>
<td class="paramname"><em>current_position</em> = <code>0</code>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>The main function implements Selection sort. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">T</td><td>type of array </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">in_arr</td><td>array to be sorted, </td></tr>
<tr><td class="paramname">current_position</td><td>position/index from where the in_arr starts </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 76</span> {</div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">if</span> (current_position == in_arr.<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"> 78</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="line"><span class="lineno"> 80</span> uint64_t min_element_idx =</div>
<div class="line"><span class="lineno"> 81</span> selection_sort_recursive::findMinIndex(in_arr, current_position);</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span> (min_element_idx != current_position) {</div>
<div class="line"><span class="lineno"> 83</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(in_arr[min_element_idx], in_arr[current_position]);</div>
<div class="line"><span class="lineno"> 84</span> }</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">selectionSortRecursive</a>(in_arr, current_position + 1);</div>
<div class="line"><span class="lineno"> 86</span>}</div>
<div class="ttc" id="aselection__sort__recursive_8cpp_html_ab6f7b33a070e376e1f4374e534435e89"><div class="ttname"><a href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a></div><div class="ttdeci">void selectionSortRecursive(std::vector&lt; T &gt; &amp;in_arr, uint64_t current_position=0)</div><div class="ttdoc">The main function implements Selection sort.</div><div class="ttdef"><b>Definition:</b> selection_sort_recursive.cpp:75</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>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 94</span> {</div>
<div class="line"><span class="lineno"> 95</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// [1, 0, 2, 1] return [0, 1, 1, 2]</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;uint64_t&gt;</a> array1 = {0, 1, 1, 2};</div>
<div class="line"><span class="lineno"> 98</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;1st test... &quot;</span>;</div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a>(array1);</div>
<div class="line"><span class="lineno"> 100</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(array1), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(array1)));</div>
<div class="line"><span class="lineno"> 101</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 102</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 103</span> <span class="comment">// [1, 0, 0, 1, 1, 0, 2, 1] return [0, 0, 0, 1, 1, 1, 1, 2]</span></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;uint64_t&gt;</a> array2 = {1, 0, 0, 1, 1, 0, 2, 1};</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;2nd test... &quot;</span>;</div>
<div class="line"><span class="lineno"> 106</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a>(array2);</div>
<div class="line"><span class="lineno"> 107</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(array2), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(array2)));</div>
<div class="line"><span class="lineno"> 108</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 109</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 110</span> <span class="comment">// [1, 1, 0, 0, 1, 2, 2, 0, 2, 1] return [0, 0, 0, 1, 1, 1, 1, 2, 2, 2]</span></div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> array3 = {1, 1, 0, 0, 1, 2, 2, 0, 2, 1};</div>
<div class="line"><span class="lineno"> 112</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;3rd test... &quot;</span>;</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a>(array3);</div>
<div class="line"><span class="lineno"> 114</span> assert(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(array3), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(array3)));</div>
<div class="line"><span class="lineno"> 115</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 116</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 117</span> <span class="comment">// [2, 2, 2, 0, 0, 1, 1] return [0, 0, 1, 1, 2, 2, 2]</span></div>
<div class="line"><span class="lineno"> 118</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> array4 = {2, 2, 2, 0, 0, 1, 1};</div>
<div class="line"><span class="lineno"> 119</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;4th test... &quot;</span>;</div>
<div class="line"><span class="lineno"> 120</span> <a class="code hl_function" href="../../d4/d9f/selection__sort__recursive_8cpp.html#ab6f7b33a070e376e1f4374e534435e89">sorting::selection_sort_recursive::selectionSortRecursive</a>(array4);</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>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(array4), <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(array4)));</div>
<div class="line"><span class="lineno"> 122</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 123</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
<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="ais_sorted_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a></div><div class="ttdeci">T is_sorted(T... args)</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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