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<p>Given a linked list L[0,....,n] of n numbers, find the middle node.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for median_search2.cpp:</div>
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<p><a href="../../d8/dfa/median__search2_8cpp_source.html">Go to the source code of this file.</a></p>
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Classes</h2></td></tr>
<tr class="memitem:ListNode" id="r_ListNode"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <a href="../../d7/da4/struct_list_node.html#details">More...</a><br /></td></tr>
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Namespaces</h2></td></tr>
<tr class="memitem:search" id="r_search"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dca/namespacesearch.html">search</a></td></tr>
<tr class="memdesc:d9/dca/namespacesearch"><td class="mdescLeft">&#160;</td><td class="mdescRight">for std::assert <br /></td></tr>
<tr class="memitem:median_5Fsearch" id="r_median_5Fsearch"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/dd4/namespacemedian__search.html">median_search</a></td></tr>
<tr class="memdesc:da/dd4/namespacemedian__search"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Median_search" target="_blank">Median search</a> algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a5fefe132a0c3ee780ebc703f37ebce6a" id="r_a5fefe132a0c3ee780ebc703f37ebce6a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a5fefe132a0c3ee780ebc703f37ebce6a">search::median_search2::middleNode</a> (<a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> *head)</td></tr>
<tr class="memitem:a565d9d4b66467f966b4e4f8ea2a2ef09" id="r_a565d9d4b66467f966b4e4f8ea2a2ef09"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a565d9d4b66467f966b4e4f8ea2a2ef09">search::median_search2::deleteAll</a> (const <a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> *const head)</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
</table>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Given a linked list L[0,....,n] of n numbers, find the middle node. </p>
<p>The technique utilized in this implementation is the ["Floyd's
tortoise and
hare"](<a href="https://en.wikipedia.org/wiki/Cycle_detection#Floyd's_tortoise_and_hare">https://en.wikipedia.org/wiki/Cycle_detection#Floyd's_tortoise_and_hare</a>) approach. This technique uses two pointers that iterate through the list at different 'speeds' in order to solve problems. In this implementation, for every iteration the slow pointer advances one node while the fast pointer advances two nodes. The result of this is that since the fast pointer moves twice as fast as the slow pointer, when the fast pointer reaches the end of the list the slow pointer will be pointing to the middle node of the list.</p>
<p>Here are some example lists you can use to see how the algorithm works A = [1,2,3,4,5] B = [1,2,3,4,5,6] print median(A) #should be 39 print median(B) #should be 4</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/weiss-ben" target="_blank">Benjamin Weiss</a> </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d9/d69/median__search_8cpp.html" title="Implementation of Median search algorithm. @cases from here">median_search.cpp</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html">median_search2.cpp</a>.</p>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="a565d9d4b66467f966b4e4f8ea2a2ef09" name="a565d9d4b66467f966b4e4f8ea2a2ef09"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a565d9d4b66467f966b4e4f8ea2a2ef09">&#9670;&#160;</a></span>deleteAll()</h2>
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<td class="memname">void search::median_search2::deleteAll </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> *const</td> <td class="paramname"><span class="paramname"><em>head</em></span></td><td>)</td>
<td></td>
</tr>
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</div><div class="memdoc">
<p class="definition">Definition at line <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html#l00077">77</a> of file <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html">median_search2.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 77</span> {</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">if</span> (head) {</div>
<div class="line"><span class="lineno"> 79</span> deleteAll(head-&gt;next);</div>
<div class="line"><span class="lineno"> 80</span> <span class="keyword">delete</span> head;</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span>}</div>
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</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
<div class="memitem">
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
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</table>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html#l00139">139</a> of file <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html">median_search2.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 139</span> {</div>
<div class="line"><span class="lineno"> 140</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 141</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 142</span>}</div>
<div class="ttc" id="amedian__search2_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dfa/median__search2_8cpp_source.html#l00090">median_search2.cpp:90</a></div></div>
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<a id="a5fefe132a0c3ee780ebc703f37ebce6a" name="a5fefe132a0c3ee780ebc703f37ebce6a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5fefe132a0c3ee780ebc703f37ebce6a">&#9670;&#160;</a></span>middleNode()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> * search::median_search2::middleNode </td>
<td>(</td>
<td class="paramtype"><a class="el" href="../../d7/da4/struct_list_node.html">ListNode</a> *</td> <td class="paramname"><span class="paramname"><em>head</em></span></td><td>)</td>
<td></td>
</tr>
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<p>This function searches for the median of a linked list. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">head</td><td>The head of the linked list. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Median node of the linked list. </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html#l00059">59</a> of file <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html">median_search2.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (!head) {</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> </div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// Fast and slow pointers</span></div>
<div class="line"><span class="lineno"> 65</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* fastptr = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* slowptr = fastptr = head;</div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> <span class="comment">// fast jumps 2 while slow jumps 1</span></div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">while</span> (fastptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> &amp;&amp; fastptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>) {</div>
<div class="line"><span class="lineno"> 70</span> slowptr = slowptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>;</div>
<div class="line"><span class="lineno"> 71</span> fastptr = fastptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>;</div>
<div class="line"><span class="lineno"> 72</span> }</div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">return</span> (fastptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a>) ? slowptr-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> : slowptr;</div>
<div class="line"><span class="lineno"> 75</span>}</div>
<div class="ttc" id="astruct_list_node_html"><div class="ttname"><a href="../../d7/da4/struct_list_node.html">ListNode</a></div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dfa/median__search2_8cpp_source.html#l00031">median_search2.cpp:31</a></div></div>
<div class="ttc" id="astruct_list_node_html_ad78b392c2ddc25c3243d0c2f30692fb1"><div class="ttname"><a href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">ListNode::next</a></div><div class="ttdeci">ListNode * next</div><div class="ttdoc">pointer to the next node</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dfa/median__search2_8cpp_source.html#l00033">median_search2.cpp:33</a></div></div>
</div><!-- fragment -->
</div>
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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">void test </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html#l00090">90</a> of file <a class="el" href="../../d8/dfa/median__search2_8cpp_source.html">median_search2.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 90</span> {</div>
<div class="line"><span class="lineno"> 91</span> <span class="keyword">auto</span>* head1 = <span class="keyword">new</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>;</div>
<div class="line"><span class="lineno"> 92</span> head1-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a> = 1;</div>
<div class="line"><span class="lineno"> 93</span> </div>
<div class="line"><span class="lineno"> 94</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* temp = head1;</div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt; 6; ++i) {</div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// Allocate next</span></div>
<div class="line"><span class="lineno"> 97</span> <span class="keyword">auto</span>* temp1 = <span class="keyword">new</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>;</div>
<div class="line"><span class="lineno"> 98</span> temp1-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a> = i;</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <span class="comment">// Advance</span></div>
<div class="line"><span class="lineno"> 101</span> temp-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> = temp1;</div>
<div class="line"><span class="lineno"> 102</span> temp = temp1;</div>
<div class="line"><span class="lineno"> 103</span> }</div>
<div class="line"><span class="lineno"> 104</span> temp-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 105</span> </div>
<div class="line"><span class="lineno"> 106</span> <span class="keyword">const</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* <span class="keyword">const</span> median = <a class="code hl_function" href="#a5fefe132a0c3ee780ebc703f37ebce6a">search::median_search2::middleNode</a>(head1);</div>
<div class="line"><span class="lineno"> 107</span> assert(3 == median-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a>); <span class="comment">// 3 is the value of the median node.</span></div>
<div class="line"><span class="lineno"> 108</span> search::median_search2::deleteAll(head1);</div>
<div class="line"><span class="lineno"> 109</span> std::cout &lt;&lt; <span class="stringliteral">&quot;test case:1 passed\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 110</span> </div>
<div class="line"><span class="lineno"> 111</span> <span class="comment">// Test case # 2</span></div>
<div class="line"><span class="lineno"> 112</span> <span class="keyword">auto</span>* head2 = <span class="keyword">new</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>;</div>
<div class="line"><span class="lineno"> 113</span> head2-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a> = 1;</div>
<div class="line"><span class="lineno"> 114</span> </div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* temp2 = head2;</div>
<div class="line"><span class="lineno"> 116</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt; 7; ++i) {</div>
<div class="line"><span class="lineno"> 117</span> <span class="comment">// Allocate next</span></div>
<div class="line"><span class="lineno"> 118</span> <span class="keyword">auto</span>* temp3 = <span class="keyword">new</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>;</div>
<div class="line"><span class="lineno"> 119</span> temp3-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a> = i;</div>
<div class="line"><span class="lineno"> 120</span> </div>
<div class="line"><span class="lineno"> 121</span> <span class="comment">// Advance</span></div>
<div class="line"><span class="lineno"> 122</span> temp2-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> = temp3;</div>
<div class="line"><span class="lineno"> 123</span> temp2 = temp3;</div>
<div class="line"><span class="lineno"> 124</span> }</div>
<div class="line"><span class="lineno"> 125</span> temp2-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#ad78b392c2ddc25c3243d0c2f30692fb1">next</a> = <span class="keyword">nullptr</span>;</div>
<div class="line"><span class="lineno"> 126</span> </div>
<div class="line"><span class="lineno"> 127</span> <span class="keyword">const</span> <a class="code hl_struct" href="../../d7/da4/struct_list_node.html">ListNode</a>* <span class="keyword">const</span> median1 = <a class="code hl_function" href="#a5fefe132a0c3ee780ebc703f37ebce6a">search::median_search2::middleNode</a>(head2);</div>
<div class="line"><span class="lineno"> 128</span> assert(4 == median1-&gt;<a class="code hl_variable" href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">val</a>); <span class="comment">// 4 is the value of the median node.</span></div>
<div class="line"><span class="lineno"> 129</span> search::median_search2::deleteAll(head2);</div>
<div class="line"><span class="lineno"> 130</span> std::cout &lt;&lt; <span class="stringliteral">&quot;test case:2 passed\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 131</span> </div>
<div class="line"><span class="lineno"> 132</span> std::cout &lt;&lt; <span class="stringliteral">&quot;--All tests passed--\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 133</span>}</div>
<div class="ttc" id="amedian__search2_8cpp_html_a5fefe132a0c3ee780ebc703f37ebce6a"><div class="ttname"><a href="#a5fefe132a0c3ee780ebc703f37ebce6a">search::median_search2::middleNode</a></div><div class="ttdeci">ListNode * middleNode(ListNode *head)</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dfa/median__search2_8cpp_source.html#l00059">median_search2.cpp:59</a></div></div>
<div class="ttc" id="astruct_list_node_html_a58389d1d1fc5430c2f4ce7c5d5dc48b3"><div class="ttname"><a href="../../d7/da4/struct_list_node.html#a58389d1d1fc5430c2f4ce7c5d5dc48b3">ListNode::val</a></div><div class="ttdeci">int val</div><div class="ttdoc">the value stored in the node</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dfa/median__search2_8cpp_source.html#l00032">median_search2.cpp:32</a></div></div>
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