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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Cycle_detection">Floyd's Cycle Detection</a> algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><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 floyd_cycle_detection_algo.cpp:</div>
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<tr class="memdesc:d9/dca/namespacesearch"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:da/d82/namespacecycle__detection"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d82/namespacecycle__detection.html">cycle_detection</a></td></tr>
<tr class="memdesc:da/d82/namespacecycle__detection"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Cycle_detection">Floyd's Cycle Detection</a> algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a81ffc7a2c6bf530c8a496864e7a3ad88"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:a81ffc7a2c6bf530c8a496864e7a3ad88"><td class="memTemplItemLeft" align="right" valign="top">int32_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/dc4/floyd__cycle__detection__algo_8cpp.html#a81ffc7a2c6bf530c8a496864e7a3ad88">search::cycle_detection::duplicateNumber</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, const uint32_t &amp;n)</td></tr>
<tr class="memdesc:a81ffc7a2c6bf530c8a496864e7a3ad88"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements search algorithm. <a href="../../db/dc4/floyd__cycle__detection__algo_8cpp.html#a81ffc7a2c6bf530c8a496864e7a3ad88">More...</a><br /></td></tr>
<tr class="separator:a81ffc7a2c6bf530c8a496864e7a3ad88"><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="../../db/dc4/floyd__cycle__detection__algo_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <a href="../../db/dc4/floyd__cycle__detection__algo_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="../../db/dc4/floyd__cycle__detection__algo_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../db/dc4/floyd__cycle__detection__algo_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>Implementation of <a href="https://en.wikipedia.org/wiki/Cycle_detection">Floyd's Cycle Detection</a> algorithm. </p>
<p>Given an array of integers containing 'n + 1' integers, where each integer is in the range [1, n] inclusive. If there is only one duplicate number in the input array, this algorithm returns the duplicate number in O(1) space and the time complexity is less than O(n^2) without modifying the original array, otherwise, it returns -1. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy">Swastika Gupta</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a81ffc7a2c6bf530c8a496864e7a3ad88"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a81ffc7a2c6bf530c8a496864e7a3ad88">&#9670;&nbsp;</a></span>duplicateNumber()</h2>
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template&lt;typename T &gt; </div>
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<td class="memname">int32_t search::cycle_detection::duplicateNumber </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>
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<td class="paramkey"></td>
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<td class="paramtype">const uint32_t &amp;&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
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<td>)</td>
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<p>The main function implements search algorithm. </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>the input array </td></tr>
<tr><td class="paramname">n</td><td>size of array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the duplicate number </dd></dl>
<div class="fragment"><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; {</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keywordflow">if</span> (n == 0 || n == 1) { <span class="comment">// to find duplicate in an array its size should be atleast 2</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; }</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; uint32_t tortoise = in_arr[0]; <span class="comment">// variable tortoise is used for the longer</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="comment">// jumps in the array</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; uint32_t hare = in_arr[0]; <span class="comment">// variable hare is used for shorter jumps in the array</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">do</span> {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; tortoise = in_arr[tortoise];</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; hare = in_arr[in_arr[hare]];</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; } <span class="keywordflow">while</span> (tortoise != hare);</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; tortoise = in_arr[0];</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; <span class="keywordflow">while</span> (tortoise != hare) {</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; tortoise = in_arr[tortoise];</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; hare = in_arr[hare];</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; }</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; <span class="keywordflow">return</span> tortoise;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</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>
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<td class="paramname"></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="l00093"></a><span class="lineno"> 93</span>&#160; {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <a class="code" href="../../db/dc4/floyd__cycle__detection__algo_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;}</div>
<div class="ttc" id="afloyd__cycle__detection__algo_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../db/dc4/floyd__cycle__detection__algo_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> floyd_cycle_detection_algo.cpp:62</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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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"><a name="l00062"></a><span class="lineno"> 62</span>&#160; {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// 1st test</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="comment">// [3, 4, 8, 5, 9, 1, 2, 6, 7, 4] return 4</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array1 = {3, 4, 8, 5, 9, 1, 2, 6, 7, 4};</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</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;Test 1... &quot;</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; assert(search::cycle_detection::duplicateNumber(array1, array1.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; 4); <span class="comment">// here the duplicate number is 4</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</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;passed&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="comment">// 2nd test</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="comment">// [1, 2, 3, 4, 2] return 2</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array2 = {1, 2, 3, 4, 2};</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</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;Test 2... &quot;</span>;</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; assert(search::cycle_detection::duplicateNumber(array2, array2.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; 2); <span class="comment">// here the duplicate number is 2</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</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;passed&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="comment">// 3rd test</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// [] return -1</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint32_t&gt;</a> array3 = {};</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</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;Test 3... &quot;</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; assert(search::cycle_detection::duplicateNumber(array3, array3.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) ==</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; -1); <span class="comment">// since the input array is empty no duplicate number exists in</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="comment">// this case</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</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;passed&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;}</div>
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