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<p><a href="https://en.wikipedia.org/wiki/Combination">Combinations</a> n choose r function implementation
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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<code>#include <cassert></code><br />
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Include dependency graph for n_choose_r.cpp:</div>
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Functions</h2></td></tr>
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<tr class="memitem:a6e2dff75c5de70455b90c799d6ad6967"><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a> (T n, T r)</td></tr>
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<tr class="memdesc:a6e2dff75c5de70455b90c799d6ad6967"><td class="mdescLeft"> </td><td class="mdescRight">This is the function implementation of \( \binom{n}{r} \). <a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">More...</a><br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Test implementations. <a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
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<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">More...</a><br /></td></tr>
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<tr class="separator:a0ddf1224851353fc92bfbff6f499fa97"><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/Combination">Combinations</a> n choose r function implementation </p>
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||||
<p>A very basic and efficient method of calculating choosing r from n different choices. \( \binom{n}{r} = \frac{n!}{r! (n-r)!} \)</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/tjgurwara99">Tajmeet Singh</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a0ddf1224851353fc92bfbff6f499fa97"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">◆ </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">int </td>
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<td class="paramname"><em>argc</em>, </td>
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<p>Main function. </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">argc</td><td>commandline argument count (ignored) </td></tr>
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<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  {</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// executing tests</span></div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<a id="aa8dca7b867074164d5f45b0f3851269d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
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<td class="memname">static void test </td>
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<td>(</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
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<p>Test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  {</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="comment">// First test on 5 choose 2</span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  uint8_t t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 2);</div>
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||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but function says otherwise.\n"</span>,</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  t == 10));</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"First test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// Second test on 5 choose 3</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(5, 3);</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"10 is the answer but the function says otherwise.\n"</span>,</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  t == 10));</div>
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||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Second test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Third test on 3 choose 2</span></div>
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||||
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(3, 2);</div>
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||||
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"3 is the answer but the function says otherwise.\n"</span>,</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  t == 3));</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Third test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// Fourth test on 10 choose 4</span></div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  t = <a class="code" href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a>(10, 4);</div>
|
||||
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  assert(((<span class="keywordtype">void</span>)<span class="stringliteral">"210 is the answer but the function says otherwise.\n"</span>,</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  t == 210));</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Fourth test passes."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="320" 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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</div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="an__choose__r_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:49</div></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>
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<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:33</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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<div class="ttc" id="alu__decomposition_8h_html_a75b8a228c6419ecda6077255d6d60509"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#a75b8a228c6419ecda6077255d6d60509">lu_decomposition</a></div><div class="ttdeci">int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)</div><div class="ttdef"><b>Definition:</b> lu_decomposition.h:29</div></div>
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<div class="ttc" id="anamespacemath_html_a6e2dff75c5de70455b90c799d6ad6967"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a6e2dff75c5de70455b90c799d6ad6967">math::n_choose_r</a></div><div class="ttdeci">T n_choose_r(T n, T r)</div><div class="ttdoc">This is the function implementation of .</div><div class="ttdef"><b>Definition:</b> n_choose_r.cpp:33</div></div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:505</div></div>
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<div class="ttc" id="amodular__inverse__fermat__little__theorem_8cpp_html_a4c6eefd1254eab3e8d34bf02c205e0f4"><div class="ttname"><a href="../../d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#a4c6eefd1254eab3e8d34bf02c205e0f4">binExpo</a></div><div class="ttdeci">int64_t binExpo(int64_t a, int64_t b, int64_t m)</div><div class="ttdef"><b>Definition:</b> modular_inverse_fermat_little_theorem.cpp:52</div></div>
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<div class="ttc" id="anamespacemath_html_ae1ca505751f5a6d3977b86372cfe75ea"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a></div><div class="ttdeci">uint64_t binomialCoeffSum(uint64_t n)</div><div class="ttdef"><b>Definition:</b> sum_of_binomial_coefficient.cpp:24</div></div>
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