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@@ -131,7 +131,7 @@ int8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="..
<tr class="memdesc:a9883dfcceede9a42227d2d313ae86f85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Index of tail of the array. <br /></td></tr>
<tr class="separator:a9883dfcceede9a42227d2d313ae86f85"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae69a0bf6c9921b37c516c8a4d2fb904d"><td class="memItemLeft" align="right" valign="top"><a id="ae69a0bf6c9921b37c516c8a4d2fb904d"></a>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int16_t, <a class="el" href="../../d8/df0/queue__using__array_8cpp.html#a2d49e79bd164c298912db252970520d8">max_size</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a></td></tr>
<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int16_t, <a class="el" href="../../d8/df0/queue__using__array_8cpp.html#a2d49e79bd164c298912db252970520d8">max_size</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a> {}</td></tr>
<tr class="memdesc:ae69a0bf6c9921b37c516c8a4d2fb904d"><td class="mdescLeft">&#160;</td><td class="mdescRight">All stored data. <br /></td></tr>
<tr class="separator:ae69a0bf6c9921b37c516c8a4d2fb904d"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
@@ -156,20 +156,20 @@ int8_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="..
<p>Delete element from back of the queue. </p>
<p>Remove element that is located at the first of the queue.</p>
<dl class="section return"><dt>Returns</dt><dd>data that is deleted if queue is not empty </dd></dl>
<div class="fragment"><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; int8_t d{0};</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1) {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</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;\nstack is empty &quot;</span>;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>) {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; d = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> = -1;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; d = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>++);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <span class="keywordflow">return</span> d;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; int8_t d{0};</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1) {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</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;\nstack is empty &quot;</span>;</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>) {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; d = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> = -1;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; d = <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>++);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; }</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; <span class="keywordflow">return</span> d;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;}</div>
</div><!-- fragment --><div class="dynheader">
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<p>Show all saved data. </p>
<p>Utility function to show all elements in the queue. </p>
<div class="fragment"><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1) {</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</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;\nStack is empty&quot;</span>;</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">for</span> (int16_t i{<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>}; i &lt;= <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>; ++i) <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(i) &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; }</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;}</div>
<div class="fragment"><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1) {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</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;\nStack is empty&quot;</span>;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keywordflow">for</span> (int16_t i{<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a>}; i &lt;= <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>; ++i) <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/at.html">at</a>(i) &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; }</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;}</div>
</div><!-- fragment --><div class="dynheader">
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@@ -236,18 +236,18 @@ Here is the call graph for this function:</div>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> == <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>() - 1) {</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</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;\nStack is full&quot;</span>;</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1 &amp;&amp; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> == -1) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> = 0;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> = 0;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>[<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>] = ele;</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> &lt; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()) {</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; ++<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>;</div>
<div class="fragment"><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> == <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>() - 1) {</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</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;\nStack is full&quot;</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> == -1 &amp;&amp; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> == -1) {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a2f676f2f249eb36dfd49711a03e9e67e">front</a> = 0;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> = 0;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>[<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>] = ele;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; }</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;}</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a> &lt; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array/size.html">size</a>()) {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; ++<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#ae69a0bf6c9921b37c516c8a4d2fb904d">arr</a>[<a class="code" href="../../d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html#a9883dfcceede9a42227d2d313ae86f85">rear</a>] = ele;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;}</div>
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</ul>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<div class="title">math::ncr_modulo_p::NCRModuloP Class Reference</div> </div>
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<p>Class which contains all methods required for calculating nCr mod p.
<a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#details">More...</a></p>
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Collaboration diagram for math::ncr_modulo_p::NCRModuloP:</div>
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Public Member Functions</h2></td></tr>
<tr class="memitem:af3d41271912f9fa50b774c96c51874b9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#af3d41271912f9fa50b774c96c51874b9">NCRModuloP</a> (const uint64_t &amp;size, const uint64_t &amp;mod)</td></tr>
<tr class="memdesc:af3d41271912f9fa50b774c96c51874b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">the p from (nCr % p) <a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#af3d41271912f9fa50b774c96c51874b9">More...</a><br /></td></tr>
<tr class="separator:af3d41271912f9fa50b774c96c51874b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afde201f4687740454302c444f507a926"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#afde201f4687740454302c444f507a926">gcdExtended</a> (const uint64_t &amp;a, const uint64_t &amp;b, int64_t *x, int64_t *y)</td></tr>
<tr class="separator:afde201f4687740454302c444f507a926"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0431ec5c876e1154d8e1e5f89e1ab34a"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a0431ec5c876e1154d8e1e5f89e1ab34a">modInverse</a> (const uint64_t &amp;a, const uint64_t &amp;m)</td></tr>
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<tr class="memitem:a6b95277f5f527beacc8d0f3bc91fcd08"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a> (const uint64_t &amp;n, const uint64_t &amp;r, const uint64_t &amp;<a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>)</td></tr>
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Private Attributes</h2></td></tr>
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<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint64_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>fac</b> {}</td></tr>
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uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a> = 0</td></tr>
<tr class="memdesc:a57c168cd6eb85718eab97da658a698ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">stores precomputed factorial(i) % p value <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Class which contains all methods required for calculating nCr mod p. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="af3d41271912f9fa50b774c96c51874b9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af3d41271912f9fa50b774c96c51874b9">&#9670;&nbsp;</a></span>NCRModuloP()</h2>
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<td class="memname">math::ncr_modulo_p::NCRModuloP::NCRModuloP </td>
<td>(</td>
<td class="paramtype">const uint64_t &amp;&#160;</td>
<td class="paramname"><em>size</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const uint64_t &amp;&#160;</td>
<td class="paramname"><em>mod</em>&#160;</td>
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<td>)</td>
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<p>the p from (nCr % p) </p>
<p>Constructor which precomputes the values of n! % mod from n=0 to size and stores them in vector 'fac' @params[in] the numbers 'size', 'mod' </p>
<div class="fragment"><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; <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a> = mod;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; fac = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a>(size);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; fac[0] = 1;</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= size; i++) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; fac[i] = (fac[i - 1] * i) % <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; }</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#afde201f4687740454302c444f507a926">&#9670;&nbsp;</a></span>gcdExtended()</h2>
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<td class="memname">uint64_t math::ncr_modulo_p::NCRModuloP::gcdExtended </td>
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<p>Finds the value of x, y such that a*x + b*y = gcd(a,b)</p>
<p>@params[in] the numbers 'a', 'b' and address of 'x' and 'y' from above equation </p><dl class="section return"><dt>Returns</dt><dd>the gcd of a and b </dd></dl>
<div class="fragment"><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; {</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">if</span> (a == 0) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; *x = 0, *y = 1;</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="keywordflow">return</span> b;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; }</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; int64_t x1 = 0, y1 = 0;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; uint64_t <a class="code" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a> = <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#afde201f4687740454302c444f507a926">gcdExtended</a>(b % a, a, &amp;x1, &amp;y1);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; *x = y1 - (b / a) * x1;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; *y = x1;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keywordflow">return</span> <a class="code" href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a>;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0431ec5c876e1154d8e1e5f89e1ab34a">&#9670;&nbsp;</a></span>modInverse()</h2>
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<td class="memname">int64_t math::ncr_modulo_p::NCRModuloP::modInverse </td>
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<p>Find modular inverse of a with m i.e. a number x such that (a*x)m = 1</p>
<p>@params[in] the numbers 'a' and 'm' from above equation </p><dl class="section return"><dt>Returns</dt><dd>the modular inverse of a </dd></dl>
<div class="fragment"><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; {</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; int64_t x = 0, y = 0;</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; uint64_t g = <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#afde201f4687740454302c444f507a926">gcdExtended</a>(a, m, &amp;x, &amp;y);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">if</span> (g != 1) { <span class="comment">// modular inverse doesn&#39;t exist</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; int64_t res = ((x + m) % m);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; }</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a6b95277f5f527beacc8d0f3bc91fcd08">&#9670;&nbsp;</a></span>ncr()</h2>
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<td class="memname">int64_t math::ncr_modulo_p::NCRModuloP::ncr </td>
<td>(</td>
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<p>Find nCr % p</p>
<p>@params[in] the numbers 'n', 'r' and 'p' </p><dl class="section return"><dt>Returns</dt><dd>the value nCr % p </dd></dl>
<div class="fragment"><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; <span class="comment">// Base cases</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; <span class="keywordflow">if</span> (r &gt; n) {</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <span class="keywordflow">if</span> (r == 1) {</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <span class="keywordflow">return</span> n % <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>;</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordflow">if</span> (r == 0 || r == n) {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; }</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <span class="comment">// fac is a global array with fac[r] = (r! % p)</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; int64_t denominator = <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a0431ec5c876e1154d8e1e5f89e1ab34a">modInverse</a>(fac[r], <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="keywordflow">if</span> (denominator &lt; 0) { <span class="comment">// modular inverse doesn&#39;t exist</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; }</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; denominator = (denominator * <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a0431ec5c876e1154d8e1e5f89e1ab34a">modInverse</a>(fac[n - r], <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>)) % <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>;</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">if</span> (denominator &lt; 0) { <span class="comment">// modular inverse doesn&#39;t exist</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="keywordflow">return</span> -1;</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; }</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">return</span> (fac[n] * denominator) % <a class="code" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a57c168cd6eb85718eab97da658a698ad">p</a>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; }</div>
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<div class="ttc" id="agcd__iterative__euclidean_8cpp_html_ae48807fa2b7000afae599e67f327545e"><div class="ttname"><a href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a></div><div class="ttdeci">int gcd(int num1, int num2)</div><div class="ttdef"><b>Definition:</b> gcd_iterative_euclidean.cpp:15</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; uint64_t &gt;</a></div></div>
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<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_a0431ec5c876e1154d8e1e5f89e1ab34a"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a0431ec5c876e1154d8e1e5f89e1ab34a">math::ncr_modulo_p::NCRModuloP::modInverse</a></div><div class="ttdeci">int64_t modInverse(const uint64_t &amp;a, const uint64_t &amp;m)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:76</div></div>
<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_afde201f4687740454302c444f507a926"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#afde201f4687740454302c444f507a926">math::ncr_modulo_p::NCRModuloP::gcdExtended</a></div><div class="ttdeci">uint64_t gcdExtended(const uint64_t &amp;a, const uint64_t &amp;b, int64_t *x, int64_t *y)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:56</div></div>
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