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@@ -3,7 +3,7 @@
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<title>Algorithms_in_C++: bit_manipulation/count_of_trailing_ciphers_in_factorial_n.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">&#160;1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -152,10 +152,10 @@ Functions</h2></td></tr>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 95</span> {</div>
<div class="line"><span class="lineno"> 96</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 98</span>}</div>
<div class="ttc" id="acount__of__trailing__ciphers__in__factorial__n_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> count_of_trailing_ciphers_in_factorial_n.cpp:59</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
@@ -190,18 +190,18 @@ Here is the call graph for this function:</div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>count, Number of ciphers in <code>n!</code>. </dd></dl>
<div class="fragment"><div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// count is to store the number of 5&#39;s in factorial(n)</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> uint64_t count = 0;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Keep dividing n by powers of</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// 5 and update count</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">for</span> (uint64_t i = 5; n / i &gt;= 1; i *= 5) {</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> count += <span class="keyword">static_cast&lt;</span>uint64_t<span class="keyword">&gt;</span>(n) / i;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</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="keywordflow">return</span> count;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 40</span> {</div>
<div class="line"><span class="lineno"> 41</span> <span class="comment">// count is to store the number of 5&#39;s in factorial(n)</span></div>
<div class="line"><span class="lineno"> 42</span> uint64_t count = 0;</div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> <span class="comment">// Keep dividing n by powers of</span></div>
<div class="line"><span class="lineno"> 45</span> <span class="comment">// 5 and update count</span></div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">for</span> (uint64_t i = 5; n / i &gt;= 1; i *= 5) {</div>
<div class="line"><span class="lineno"> 47</span> count += <span class="keyword">static_cast&lt;</span>uint64_t<span class="keyword">&gt;</span>(n) / i;</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> </div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 51</span>}</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -236,37 +236,37 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// 1st test</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</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;1st test &quot;</span>;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(395) == 97);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</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;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="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// 2nd test</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</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;2nd test &quot;</span>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(977) == 242);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</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;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="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// 3rd test</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</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;3rd test &quot;</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(871) == 215);</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</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;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="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// 4th test</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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;4th test &quot;</span>;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(239) == 57);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</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;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="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// 5th test</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</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;5th test &quot;</span>;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(0) == 0);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</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;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="l00089" name="l00089"></a><span class="lineno"> 89</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 61</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 62</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(395) == 97);</div>
<div class="line"><span class="lineno"> 64</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;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"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 67</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 68</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(977) == 242);</div>
<div class="line"><span class="lineno"> 70</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;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"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 73</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 74</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><span class="lineno"> 75</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(871) == 215);</div>
<div class="line"><span class="lineno"> 76</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;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"><span class="lineno"> 77</span> </div>
<div class="line"><span class="lineno"> 78</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 79</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 80</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(239) == 57);</div>
<div class="line"><span class="lineno"> 82</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;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"><span class="lineno"> 83</span> </div>
<div class="line"><span class="lineno"> 84</span> <span class="comment">// 5th test</span></div>
<div class="line"><span class="lineno"> 85</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 86</span> assert(bit_manipulation::count_of_trailing_ciphers_in_factorial_n::</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_function" href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">numberOfCiphersInFactorialN</a>(0) == 0);</div>
<div class="line"><span class="lineno"> 88</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;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"><span class="lineno"> 89</span>}</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>
<div class="ttc" id="acount__of__trailing__ciphers__in__factorial__n_8cpp_html_a0d5e1d651d0d30bd682f176d8f2b83d0"><div class="ttname"><a href="../../da/d50/count__of__trailing__ciphers__in__factorial__n_8cpp.html#a0d5e1d651d0d30bd682f176d8f2b83d0">bit_manipulation::count_of_trailing_ciphers_in_factorial_n::numberOfCiphersInFactorialN</a></div><div class="ttdeci">uint64_t numberOfCiphersInFactorialN(uint64_t n)</div><div class="ttdoc">Function to count the number of the trailing ciphers.</div><div class="ttdef"><b>Definition:</b> count_of_trailing_ciphers_in_factorial_n.cpp:40</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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