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Functions</h2></td></tr>
<tr class="memitem:ae1ca505751f5a6d3977b86372cfe75ea"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a> (uint64_t n)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Algorithm to find sum of binomial coefficients of a given positive integer. </p>
<p>Given a positive integer n, the task is to find the sum of binomial coefficient i.e nC0 + nC1 + nC2 + ... + nCn-1 + nCn By induction, we can prove that the sum is equal to 2^n </p><dl class="section see"><dt>See also</dt><dd>more on <a href="https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients">https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients</a> </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/muskan0719">muskan0719</a> </dd></dl>
<div class="textblock"><p >Algorithm to find sum of binomial coefficients of a given positive integer. </p>
<p >Given a positive integer n, the task is to find the sum of binomial coefficient i.e nC0 + nC1 + nC2 + ... + nCn-1 + nCn By induction, we can prove that the sum is equal to 2^n </p><dl class="section see"><dt>See also</dt><dd>more on <a href="https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients">https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients</a> </dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/muskan0719" target="_blank">muskan0719</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
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<p>Function for testing binomialCoeffSum function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </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="keywordtype">int</span> test_case_1 = <a class="code" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(2);</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; assert(test_case_1 == 4);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</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_case_1 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="l00041"></a><span class="lineno"> 41</span>&#160; </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <span class="keywordtype">int</span> test_case_2 = <a class="code" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(3);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; assert(test_case_2 == 8);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; </div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;}</div>
<p >Function for testing binomialCoeffSum function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
<div class="fragment"><div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</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;Test_case_3 Passed!&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"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordtype">int</span> test_case_4 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(5);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> assert(test_case_4 == 32);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</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;Test_case_4 Passed!&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"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">int</span> test_case_5 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(7);</div>
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