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<p>A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers" target="_blank">amicable pair</a> or not.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for check_amicable_pair.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:ac656a51b4c3bd7d63b7dcc75dc3e5576"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a> (int num)</td></tr>
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<tr class="memitem:afeb67e204ec7de02ad152c11df4d1e01"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a> (int x, int y)</td></tr>
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<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers" target="_blank">amicable pair</a> or not. </p>
<p >Amicable Pair are two positive integers such that sum of the proper divisor of each number is equal to the other number. </p><dl class="section author"><dt>Author</dt><dd>iamnambiar </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#afeb67e204ec7de02ad152c11df4d1e01">&#9670;&#160;</a></span>are_amicable()</h2>
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<td class="memname">bool are_amicable </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>y</em>&#160;</td>
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<p >Function to check whether the pair is amicable or not. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>First number. </td></tr>
<tr><td class="paramname">y</td><td>Second number. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the pair is amicable </dd>
<dd>
<code>false</code> if the pair is not amicable </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 48</span> {</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> (<a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a>(x) == y) &amp;&amp; (<a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a>(y) == x);</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="acheck__amicable__pair_8cpp_html_ac656a51b4c3bd7d63b7dcc75dc3e5576"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a></div><div class="ttdeci">int sum_of_divisor(int num)</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:21</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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<p >Main Function </p>
<div class="fragment"><div class="line"><span class="lineno"> 68</span> {</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>();</div>
<div class="line"><span class="lineno"> 70</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;Assertion Success.&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"> 71</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 72</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="acheck__amicable__pair_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:56</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>
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<h2 class="memtitle"><span class="permalink"><a href="#ac656a51b4c3bd7d63b7dcc75dc3e5576">&#9670;&#160;</a></span>sum_of_divisor()</h2>
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<td class="paramname"><em>num</em></td><td>)</td>
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<p >Function to calculate the sum of all the proper divisor of an integer. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">num</td><td>First number. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Sum of the proper divisor of the number. </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 21</span> {</div>
<div class="line"><span class="lineno"> 22</span> <span class="comment">// Variable to store the sum of all proper divisors.</span></div>
<div class="line"><span class="lineno"> 23</span> <span class="keywordtype">int</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> = 0;</div>
<div class="line"><span class="lineno"> 24</span> <span class="comment">// Below loop condition helps to reduce Time complexity by a factor of</span></div>
<div class="line"><span class="lineno"> 25</span> <span class="comment">// square root of the number.</span></div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> div = 2; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> &lt;= num; ++<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>) {</div>
<div class="line"><span class="lineno"> 27</span> <span class="comment">// Check &#39;div&#39; is divisor of &#39;num&#39;.</span></div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">if</span> (num % div == 0) {</div>
<div class="line"><span class="lineno"> 29</span> <span class="comment">// If both divisor are same, add once to &#39;sum&#39;</span></div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (div == (num / div)) {</div>
<div class="line"><span class="lineno"> 31</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> += <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>;</div>
<div class="line"><span class="lineno"> 32</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 33</span> <span class="comment">// If both divisor are not the same, add both to &#39;sum&#39;.</span></div>
<div class="line"><span class="lineno"> 34</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> += (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> + (num / <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>));</div>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> }</div>
<div class="line"><span class="lineno"> 37</span> }</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">sum</a> + 1;</div>
<div class="line"><span class="lineno"> 39</span>}</div>
<div class="ttc" id="adiv_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/div.html">std::div</a></div><div class="ttdeci">T div(T... args)</div></div>
<div class="ttc" id="anamespacemachine__learning_html_a6f1c98c016ad34ff3d9f39372161bd35"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a6f1c98c016ad34ff3d9f39372161bd35">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector&lt; std::valarray&lt; T &gt; &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:232</div></div>
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<p >Function for testing the is_amicable() with all the test cases. </p>
<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// are_amicable(220, 284) returns true.</span></div>
<div class="line"><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a>(220, 284) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// are_amicable(6232, 6368) returns true.</span></div>
<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a>(6368, 6232) == <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 61</span> <span class="comment">// are_amicable(458, 232) returns false.</span></div>
<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a>(458, 232) == <span class="keyword">false</span>);</div>
<div class="line"><span class="lineno"> 63</span>}</div>
<div class="ttc" id="acheck__amicable__pair_8cpp_html_afeb67e204ec7de02ad152c11df4d1e01"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a></div><div class="ttdeci">bool are_amicable(int x, int y)</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:48</div></div>
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