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<p><a href="https://en.wikipedia.org/wiki/Comb_sort">Comb Sort Algorithm (Comb Sort)</a>
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <algorithm></code><br />
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<code>#include <cassert></code><br />
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<code>#include <iostream></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for comb_sort.cpp:</div>
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<div class="dyncontent">
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aede08143e63105faba10e9ee8e745fd5"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dfd/comb__sort_8cpp.html#aede08143e63105faba10e9ee8e745fd5">FindNextGap</a> (int gap)</td></tr>
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<tr class="separator:aede08143e63105faba10e9ee8e745fd5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0f4e7569090083fb53d5cdeaf0e2974f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dfd/comb__sort_8cpp.html#a0f4e7569090083fb53d5cdeaf0e2974f">CombSort</a> (int *arr, int l, int r)</td></tr>
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<tr class="separator:a0f4e7569090083fb53d5cdeaf0e2974f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
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<tr class="separator:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/dfd/comb__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Comb_sort">Comb Sort Algorithm (Comb Sort)</a> </p>
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<dl class="section author"><dt>Author</dt><dd></dd></dl>
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<ul>
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<li>A better version of bubble sort algorithm</li>
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<li>Bubble sort compares adjacent values whereas comb sort uses gap larger than 1</li>
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<li>Best case Time complexity O(n) Worst case Time complexity O(n^2) </li>
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</ul>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a0f4e7569090083fb53d5cdeaf0e2974f"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a0f4e7569090083fb53d5cdeaf0e2974f">◆ </a></span>CombSort()</h2>
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<td class="memname">void CombSort </td>
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<td>(</td>
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<td class="paramtype">int * </td>
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<td class="paramname"><em>arr</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>l</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>r</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Function to sort array</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">arr</td><td>array to be sorted </td></tr>
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<tr><td class="paramname">l</td><td>start index of array </td></tr>
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<tr><td class="paramname">r</td><td>end index of array </td></tr>
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</table>
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</dd>
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</dl>
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<p>initial gap will be maximum and the maximum possible value is the size of the array that is n and which is equal to r in this case so to avoid passing an extra parameter n that is the size of the array we are using r to initialize the initial gap.</p>
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<p>Initialize swapped as true to make sure that loop runs</p>
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<p>Keep running until gap = 1 or none elements were swapped</p>
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<p>Find next gap</p>
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<p>Compare all elements with current gap</p>
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<div class="fragment"><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  {<span class="comment"></span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> * initial gap will be maximum and the maximum possible value is</span></div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> * the size of the array that is n and which is equal to r in this</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> * case so to avoid passing an extra parameter n that is the size of</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> * the array we are using r to initialize the initial gap.</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> *</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordtype">int</span> gap = r;</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> /// Initialize swapped as true to make sure that loop runs</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"></span> <span class="keywordtype">bool</span> swapped = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> /// Keep running until gap = 1 or none elements were swapped</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"></span> <span class="keywordflow">while</span> (gap != 1 || swapped) {<span class="comment"></span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"> /// Find next gap</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"></span> gap = <a class="code" href="../../d9/dfd/comb__sort_8cpp.html#aede08143e63105faba10e9ee8e745fd5">FindNextGap</a>(gap);</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  swapped = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> /// Compare all elements with current gap</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"></span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = l; i <= r - gap; ++i) {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (arr[i] > arr[i + gap]) {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(arr[i], arr[i + gap]);</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  swapped = <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/dfd/comb__sort_8cpp_a0f4e7569090083fb53d5cdeaf0e2974f_cgraph.svg" width="360" height="88"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="aede08143e63105faba10e9ee8e745fd5"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aede08143e63105faba10e9ee8e745fd5">◆ </a></span>FindNextGap()</h2>
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<td class="memname">int FindNextGap </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>gap</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Find the next gap by shrinking the current gap by shrink factor of 1.3 </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">gap</td><td>current gap </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>new gap </dd></dl>
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<div class="fragment"><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  gap = (gap * 10) / 13;</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  </div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(1, gap);</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> }</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/dfd/comb__sort_8cpp_aede08143e63105faba10e9ee8e745fd5_cgraph.svg" width="231" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Main function </p>
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<p>Running predefined tests</p>
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<p>For user interaction</p>
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<div class="fragment"><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  {<span class="comment"></span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> /// Running predefined tests</span></div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"></span> <a class="code" href="../../d9/dfd/comb__sort_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"> /// For user interaction</span></div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"></span> <span class="keywordtype">int</span> n;</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> n;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordtype">int</span> *arr = <span class="keyword">new</span> <span class="keywordtype">int</span>[n];</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; ++i) std::cin >> arr[i];</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <a class="code" href="../../d9/dfd/comb__sort_8cpp.html#a0f4e7569090083fb53d5cdeaf0e2974f">CombSort</a>(arr, 0, n);</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; ++i) <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << arr[i] << <span class="charliteral">' '</span>;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">delete</span>[] arr;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">◆ </a></span>tests()</h2>
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<td class="memname">void tests </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<p>Test 1</p>
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<p>Test 2</p>
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<div class="fragment"><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  {<span class="comment"></span></div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"> /// Test 1</span></div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment"></span> <span class="keywordtype">int</span> arr1[10] = {34, 56, 6, 23, 76, 34, 76, 343, 4, 76};</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <a class="code" href="../../d9/dfd/comb__sort_8cpp.html#a0f4e7569090083fb53d5cdeaf0e2974f">CombSort</a>(arr1, 0, 10);</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr1, arr1 + 10));</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1 passed\n"</span>;</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> /// Test 2</span></div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"></span> <span class="keywordtype">int</span> arr2[8] = {-6, 56, -45, 56, 0, -1, 8, 8};</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="../../d9/dfd/comb__sort_8cpp.html#a0f4e7569090083fb53d5cdeaf0e2974f">CombSort</a>(arr2, 0, 8);</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a>(arr2, arr2 + 8));</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2 Passed\n"</span>;</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> }</div>
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<div class="ttc" id="acomb__sort_8cpp_html_aede08143e63105faba10e9ee8e745fd5"><div class="ttname"><a href="../../d9/dfd/comb__sort_8cpp.html#aede08143e63105faba10e9ee8e745fd5">FindNextGap</a></div><div class="ttdeci">int FindNextGap(int gap)</div><div class="ttdef"><b>Definition:</b> comb_sort.cpp:29</div></div>
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