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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -122,7 +139,9 @@ Include dependency graph for prime_factorization.cpp:</div>
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<p><a href="../../db/d0d/prime__factorization_8cpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:affe577b9bce8f604f5e2f861c63c7099" id="r_affe577b9bce8f604f5e2f861c63c7099"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a> (int N)</td></tr>
@@ -136,13 +155,15 @@ Functions</h2></td></tr>
Variables</h2></td></tr>
<tr class="memitem:a7fe38b570a51e448430d6a0f072c2f23" id="r_a7fe38b570a51e448430d6a0f072c2f23"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a> [1000006]</td></tr>
<tr class="separator:a7fe38b570a51e448430d6a0f072c2f23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af097796783684712b8326e5b82bfd4fe" id="r_af097796783684712b8326e5b82bfd4fe"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></td></tr>
<tr class="memitem:af097796783684712b8326e5b82bfd4fe" id="r_af097796783684712b8326e5b82bfd4fe"><td class="memItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></td></tr>
<tr class="separator:af097796783684712b8326e5b82bfd4fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="memitem:acfb0df439a4beae5a34ef131ce737c1b" id="r_acfb0df439a4beae5a34ef131ce737c1b"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::pair&lt; int, int &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></td></tr>
<tr class="separator:acfb0df439a4beae5a34ef131ce737c1b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Prime factorization of positive integers. </p>
<p class="definition">Definition in file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
@@ -159,11 +180,13 @@ Variables</h2></td></tr>
</table>
</div><div class="memdoc">
<p>Main program </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00062">62</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordtype">int</span> num;</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;\t\tComputes the prime factorization\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 65</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;Type in a number: &quot;</span>;</div>
<div class="line"><span class="lineno"> 66</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; num;</div>
<div class="line"><span class="lineno"> 64</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\t\tComputes the prime factorization\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 65</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Type in a number: &quot;</span>;</div>
<div class="line"><span class="lineno"> 66</span> std::cin &gt;&gt; num;</div>
<div class="line"><span class="lineno"> 67</span> </div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_function" href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a>(num);</div>
<div class="line"><span class="lineno"> 69</span> </div>
@@ -171,23 +194,15 @@ Variables</h2></td></tr>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// Prime factors with their powers in the given number in new line</span></div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> it : <a class="code hl_variable" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a>) {</div>
<div class="line"><span class="lineno"> 74</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; it.first &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; it.second &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"> 74</span> std::cout &lt;&lt; it.first &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; it.second &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 75</span> }</div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 78</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></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>
<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>
<div class="ttc" id="aprime__factorization_8cpp_html_a0ece0145fb29a5cf48378c23dde2da46"><div class="ttname"><a href="#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a></div><div class="ttdeci">void prime_factorization(int num)</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:40</div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_acfb0df439a4beae5a34ef131ce737c1b"><div class="ttname"><a href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></div><div class="ttdeci">std::vector&lt; std::pair&lt; int, int &gt; &gt; factors</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:19</div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_affe577b9bce8f604f5e2f861c63c7099"><div class="ttname"><a href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a></div><div class="ttdeci">void SieveOfEratosthenes(int N)</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:23</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_a0ece0145fb29a5cf48378c23dde2da46"><div class="ttname"><a href="#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a></div><div class="ttdeci">void prime_factorization(int num)</div><div class="ttdef"><b>Definition</b> <a href="../../db/d0d/prime__factorization_8cpp_source.html#l00040">prime_factorization.cpp:40</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_acfb0df439a4beae5a34ef131ce737c1b"><div class="ttname"><a href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></div><div class="ttdeci">std::vector&lt; std::pair&lt; int, int &gt; &gt; factors</div><div class="ttdef"><b>Definition</b> <a href="../../db/d0d/prime__factorization_8cpp_source.html#l00019">prime_factorization.cpp:19</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_affe577b9bce8f604f5e2f861c63c7099"><div class="ttname"><a href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a></div><div class="ttdeci">void SieveOfEratosthenes(int N)</div><div class="ttdef"><b>Definition</b> <a href="../../db/d0d/prime__factorization_8cpp_source.html#l00023">prime_factorization.cpp:23</a></div></div>
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<p>Prime factorization of a number </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00040">40</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 40</span> {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordtype">int</span> number = num;</div>
<div class="line"><span class="lineno"> 42</span> </div>
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<div class="line"><span class="lineno"> 54</span> }</div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (count)</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_variable" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.push_back(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(<a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i], count));</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_variable" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.push_back(std::make_pair(<a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i], count));</div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span>}</div>
<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_af097796783684712b8326e5b82bfd4fe"><div class="ttname"><a href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></div><div class="ttdeci">std::vector&lt; int &gt; prime_numbers</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:16</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_af097796783684712b8326e5b82bfd4fe"><div class="ttname"><a href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></div><div class="ttdeci">std::vector&lt; int &gt; prime_numbers</div><div class="ttdef"><b>Definition</b> <a href="../../db/d0d/prime__factorization_8cpp_source.html#l00016">prime_factorization.cpp:16</a></div></div>
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<p>Calculating prime number upto a given range </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00023">23</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 23</span> {</div>
<div class="line"><span class="lineno"> 24</span> <span class="comment">// initializes the array isprime</span></div>
<div class="line"><span class="lineno"> 25</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/memset.html">memset</a>(<a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>, <span class="keyword">true</span>, <span class="keyword">sizeof</span> <a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>);</div>
<div class="line"><span class="lineno"> 25</span> memset(<a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>, <span class="keyword">true</span>, <span class="keyword">sizeof</span> <a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>);</div>
<div class="line"><span class="lineno"> 26</span> </div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt;= <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i]) {</div>
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<div class="line"><span class="lineno"> 32</span> </div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt;= <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i])</div>
<div class="line"><span class="lineno"> 35</span> <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(i);</div>
<div class="line"><span class="lineno"> 35</span> <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>.push_back(i);</div>
<div class="line"><span class="lineno"> 36</span> }</div>
<div class="line"><span class="lineno"> 37</span>}</div>
<div class="ttc" id="amemset_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/memset.html">std::memset</a></div><div class="ttdeci">T memset(T... args)</div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_a7fe38b570a51e448430d6a0f072c2f23"><div class="ttname"><a href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a></div><div class="ttdeci">bool isprime[1000006]</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:13</div></div>
<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:48</div></div>
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<div class="ttc" id="aprime__factorization_8cpp_html_a7fe38b570a51e448430d6a0f072c2f23"><div class="ttname"><a href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a></div><div class="ttdeci">bool isprime[1000006]</div><div class="ttdef"><b>Definition</b> <a href="../../db/d0d/prime__factorization_8cpp_source.html#l00013">prime_factorization.cpp:13</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dab/sparse__table_8cpp_source.html#l00048">sparse_table.cpp:48</a></div></div>
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<h2 class="groupheader">Variable Documentation</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>&lt;int, int&gt; &gt; factors</td>
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<p>list of prime factor-pairs </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00019">19</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
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<p>Declaring variables for maintaing prime numbers and to check whether a number is prime or not </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00013">13</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
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<p>list of prime numbers </p>
<p class="definition">Definition at line <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html#l00016">16</a> of file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
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<div class="headertitle"><div class="title">prime_factorization.cpp</div></div>
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<a href="../../db/d0d/prime__factorization_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23"> 13</a></span><span class="keywordtype">bool</span> <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[1000006];</div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe"> 16</a></span>std::vector&lt;int&gt; <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>;</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b"> 19</a></span>std::vector&lt;std::pair&lt;int, int&gt;&gt; <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>;</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="foldopen" id="foldopen00023" data-start="{" data-end="}">
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099"> 23</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a>(<span class="keywordtype">int</span> N) {</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// initializes the array isprime</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> memset(<a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>, <span class="keyword">true</span>, <span class="keyword">sizeof</span> <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>);</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt;= N; i++) {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i]) {</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 2 * i; j &lt;= N; j += i) <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[j] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> }</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> }</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i &lt;= N; i++) {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i])</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>.push_back(i);</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>}</div>
</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46"> 40</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a>(<span class="keywordtype">int</span> num) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">int</span> number = num;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i] &lt;= num; i++) {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">int</span> count = 0;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// termination condition</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">if</span> (number == 1) {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">break</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> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">while</span> (number % <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i] == 0) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> count++;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> number = number / <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i];</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (count)</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.push_back(std::make_pair(<a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i], count));</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span>}</div>
</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 62</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordtype">int</span> num;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\t\tComputes the prime factorization\n\n&quot;</span>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Type in a number: &quot;</span>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> std::cin &gt;&gt; num;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a>(num);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a>(num);</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">// Prime factors with their powers in the given number in new line</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> it : <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>) {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::cout &lt;&lt; it.first &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; it.second &lt;&lt; std::endl;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span>}</div>
</div>
<div class="ttc" id="aprime__factorization_8cpp_html_a0ece0145fb29a5cf48378c23dde2da46"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a></div><div class="ttdeci">void prime_factorization(int num)</div><div class="ttdef"><b>Definition</b> <a href="#l00040">prime_factorization.cpp:40</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_a7fe38b570a51e448430d6a0f072c2f23"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a></div><div class="ttdeci">bool isprime[1000006]</div><div class="ttdef"><b>Definition</b> <a href="#l00013">prime_factorization.cpp:13</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_acfb0df439a4beae5a34ef131ce737c1b"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a></div><div class="ttdeci">std::vector&lt; std::pair&lt; int, int &gt; &gt; factors</div><div class="ttdef"><b>Definition</b> <a href="#l00019">prime_factorization.cpp:19</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00062">prime_factorization.cpp:62</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_af097796783684712b8326e5b82bfd4fe"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></div><div class="ttdeci">std::vector&lt; int &gt; prime_numbers</div><div class="ttdef"><b>Definition</b> <a href="#l00016">prime_factorization.cpp:16</a></div></div>
<div class="ttc" id="aprime__factorization_8cpp_html_affe577b9bce8f604f5e2f861c63c7099"><div class="ttname"><a href="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a></div><div class="ttdeci">void SieveOfEratosthenes(int N)</div><div class="ttdef"><b>Definition</b> <a href="#l00023">prime_factorization.cpp:23</a></div></div>
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