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<title>Algorithms_in_C++: math/ncr_modulo_p.cpp File Reference</title>
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@@ -30,8 +30,8 @@ MathJax.Hub.Config({
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -156,20 +156,20 @@ Functions</h2></td></tr>
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<p>Main function. </p>
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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 id="l00137" name="l00137"></a><span class="lineno"> 137</span> {</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="comment">// populate the fac array</span></div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">const</span> uint64_t size = 1e6 + 1;</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">const</span> uint64_t p = 1e9 + 7;</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <a class="code hl_class" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a> ncrObj =</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <a class="code hl_class" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a>(size, p);</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// test 6Ci for i=0 to 7</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i <= 7; i++) {</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << 6 << <span class="stringliteral">"C"</span> << i << <span class="stringliteral">" = "</span> << ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(6, i, p) << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_function" href="../../de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">tests</a>(ncrObj); <span class="comment">// execute the tests</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Assertions passed\n"</span>;</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 137</span> {</div>
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<div class="line"><span class="lineno"> 138</span> <span class="comment">// populate the fac array</span></div>
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<div class="line"><span class="lineno"> 139</span> <span class="keyword">const</span> uint64_t size = 1e6 + 1;</div>
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<div class="line"><span class="lineno"> 140</span> <span class="keyword">const</span> uint64_t p = 1e9 + 7;</div>
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<div class="line"><span class="lineno"> 141</span> <a class="code hl_class" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a> ncrObj =</div>
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<div class="line"><span class="lineno"> 142</span> <a class="code hl_class" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a>(size, p);</div>
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<div class="line"><span class="lineno"> 143</span> <span class="comment">// test 6Ci for i=0 to 7</span></div>
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<div class="line"><span class="lineno"> 144</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i <= 7; i++) {</div>
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<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << 6 << <span class="stringliteral">"C"</span> << i << <span class="stringliteral">" = "</span> << ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(6, i, p) << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 146</span> }</div>
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<div class="line"><span class="lineno"> 147</span> <a class="code hl_function" href="../../de/dab/ncr__modulo__p_8cpp.html#af0a3e6827f41c151e47451f5ff98b1f1">tests</a>(ncrObj); <span class="comment">// execute the tests</span></div>
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<div class="line"><span class="lineno"> 148</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Assertions passed\n"</span>;</div>
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<div class="line"><span class="lineno"> 149</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 150</span>}</div>
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<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="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html">math::ncr_modulo_p::NCRModuloP</a></div><div class="ttdoc">Class which contains all methods required for calculating nCr mod p.</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:31</div></div>
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<div class="ttc" id="aclassmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p_html_a6b95277f5f527beacc8d0f3bc91fcd08"><div class="ttname"><a href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">math::ncr_modulo_p::NCRModuloP::ncr</a></div><div class="ttdeci">int64_t ncr(const uint64_t &n, const uint64_t &r, const uint64_t &p)</div><div class="ttdef"><b>Definition:</b> ncr_modulo_p.cpp:92</div></div>
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@@ -209,14 +209,14 @@ Functions</h2></td></tr>
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</dd>
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</dl>
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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 id="l00124" name="l00124"></a><span class="lineno"> 124</span> {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// (52323 C 26161) % (1e9 + 7) = 224944353</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(52323, 26161, 1000000007) == 224944353);</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="comment">// 6 C 2 = 30, 30%5 = 0</span></div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(6, 2, 5) == 0);</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// 7C3 = 35, 35 % 29 = 8</span></div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(7, 3, 29) == 6);</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 124</span> {</div>
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<div class="line"><span class="lineno"> 125</span> <span class="comment">// (52323 C 26161) % (1e9 + 7) = 224944353</span></div>
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<div class="line"><span class="lineno"> 126</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(52323, 26161, 1000000007) == 224944353);</div>
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<div class="line"><span class="lineno"> 127</span> <span class="comment">// 6 C 2 = 30, 30%5 = 0</span></div>
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<div class="line"><span class="lineno"> 128</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(6, 2, 5) == 0);</div>
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<div class="line"><span class="lineno"> 129</span> <span class="comment">// 7C3 = 35, 35 % 29 = 8</span></div>
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<div class="line"><span class="lineno"> 130</span> assert(ncrObj.<a class="code hl_function" href="../../d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html#a6b95277f5f527beacc8d0f3bc91fcd08">ncr</a>(7, 3, 29) == 6);</div>
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<div class="line"><span class="lineno"> 131</span>}</div>
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</div><!-- fragment --><div class="dynheader">
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@@ -232,7 +232,7 @@ Here is the call graph for this function:</div>
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