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@@ -164,7 +164,7 @@ Functions</h2></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Sum of the proper divisor of the number. </dd></dl>
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<div class="fragment"><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  {</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="comment">// Variable to store the sum of all proper divisors.</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordtype">int</span> sum = 0;</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keywordtype">int</span> <a class="code" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a> = 0;</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="comment">// Below loop condition helps to reduce Time complexity by a factor of</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="comment">// square root of the number.</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> div = 2; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> <= num; ++<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>) {</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">if</span> (num % div == 0) {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// If both divisor are same, add once to 'sum'</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">if</span> (div == (num / div)) {</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  sum += <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>;</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a> += <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>;</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// If both divisor are not the same, add both to 'sum'.</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  sum += (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> + (num / <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>));</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a> += (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a> + (num / <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/div.html">div</a>));</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  }</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  }</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">return</span> sum + 1;</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">return</span> <a class="code" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a> + 1;</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> }</div>
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<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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<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>
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<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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<div class="ttc" id="anamespacemachine__learning_html_a5305cc18d11943d3dc0d66e70d7e9c44"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T >> &A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:228</div></div>
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