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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the 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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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/def/prime__factorization_8cpp__incl.svg" width="346" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></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>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:affe577b9bce8f604f5e2f861c63c7099" id="r_affe577b9bce8f604f5e2f861c63c7099"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a> (int N)</td></tr>
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@@ -136,13 +155,15 @@ Functions</h2></td></tr>
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Variables</h2></td></tr>
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<tr class="memitem:a7fe38b570a51e448430d6a0f072c2f23" id="r_a7fe38b570a51e448430d6a0f072c2f23"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a> [1000006]</td></tr>
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<tr class="separator:a7fe38b570a51e448430d6a0f072c2f23"><td class="memSeparator" colspan="2"> </td></tr>
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<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>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></td></tr>
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<tr class="memitem:af097796783684712b8326e5b82bfd4fe" id="r_af097796783684712b8326e5b82bfd4fe"><td class="memItemLeft" align="right" valign="top">std::vector< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></td></tr>
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<tr class="separator:af097796783684712b8326e5b82bfd4fe"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acfb0df439a4beae5a34ef131ce737c1b" id="r_acfb0df439a4beae5a34ef131ce737c1b"><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>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< int, int > > </td><td class="memItemRight" valign="bottom"><a class="el" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></td></tr>
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<tr class="memitem:acfb0df439a4beae5a34ef131ce737c1b" id="r_acfb0df439a4beae5a34ef131ce737c1b"><td class="memItemLeft" align="right" valign="top">std::vector< std::pair< int, int > > </td><td class="memItemRight" valign="bottom"><a class="el" href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></td></tr>
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<tr class="separator:acfb0df439a4beae5a34ef131ce737c1b"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Prime factorization of positive integers. </p>
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<p class="definition">Definition in file <a class="el" href="../../db/d0d/prime__factorization_8cpp_source.html">prime_factorization.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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@@ -159,11 +180,13 @@ Variables</h2></td></tr>
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</table>
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</div><div class="memdoc">
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<p>Main program </p>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
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<div class="line"><span class="lineno"> 63</span> <span class="keywordtype">int</span> num;</div>
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<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> << <span class="stringliteral">"\t\tComputes the prime factorization\n\n"</span>;</div>
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<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> << <span class="stringliteral">"Type in a number: "</span>;</div>
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<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> >> num;</div>
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<div class="line"><span class="lineno"> 64</span> std::cout << <span class="stringliteral">"\t\tComputes the prime factorization\n\n"</span>;</div>
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<div class="line"><span class="lineno"> 65</span> std::cout << <span class="stringliteral">"Type in a number: "</span>;</div>
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<div class="line"><span class="lineno"> 66</span> std::cin >> num;</div>
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<div class="line"><span class="lineno"> 67</span> </div>
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<div class="line"><span class="lineno"> 68</span> <a class="code hl_function" href="#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a>(num);</div>
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<div class="line"><span class="lineno"> 69</span> </div>
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<div class="line"><span class="lineno"> 71</span> </div>
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<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>
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<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>
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<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> << it.first << <span class="stringliteral">" "</span> << it.second << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 74</span> std::cout << it.first << <span class="stringliteral">" "</span> << it.second << std::endl;</div>
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<div class="line"><span class="lineno"> 75</span> }</div>
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<div class="line"><span class="lineno"> 76</span> </div>
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<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 78</span>}</div>
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<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>
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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="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="ttc" id="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>
|
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<div class="ttc" id="aprime__factorization_8cpp_html_acfb0df439a4beae5a34ef131ce737c1b"><div class="ttname"><a href="#acfb0df439a4beae5a34ef131ce737c1b">factors</a></div><div class="ttdeci">std::vector< std::pair< int, int > > 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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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../db/d0d/prime__factorization_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="456" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</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< std::pair< int, int > > 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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</div><!-- fragment -->
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<a id="a0ece0145fb29a5cf48378c23dde2da46" name="a0ece0145fb29a5cf48378c23dde2da46"></a>
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@@ -205,6 +220,8 @@ Here is the call graph for this function:</div>
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||||
<p>Prime factorization of a number </p>
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||||
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||||
<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>
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<div class="line"><span class="lineno"> 41</span> <span class="keywordtype">int</span> number = num;</div>
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<div class="line"><span class="lineno"> 42</span> </div>
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<div class="line"><span class="lineno"> 54</span> }</div>
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<div class="line"><span class="lineno"> 55</span> </div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (count)</div>
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<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>
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<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>
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<div class="line"><span class="lineno"> 58</span> }</div>
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<div class="line"><span class="lineno"> 59</span>}</div>
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<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>
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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< int > prime_numbers</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:16</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../db/d0d/prime__factorization_8cpp_a0ece0145fb29a5cf48378c23dde2da46_cgraph.svg" width="298" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</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< int > 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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<a id="affe577b9bce8f604f5e2f861c63c7099" name="affe577b9bce8f604f5e2f861c63c7099"></a>
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@@ -250,9 +261,11 @@ Here is the call graph for this function:</div>
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</table>
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</div><div class="memdoc">
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<p>Calculating prime number upto a given range </p>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 23</span> {</div>
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<div class="line"><span class="lineno"> 24</span> <span class="comment">// initializes the array isprime</span></div>
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<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>
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<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>
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<div class="line"><span class="lineno"> 26</span> </div>
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<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<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>
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<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 2; i <= <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><span class="lineno"> 34</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"> 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>
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<div class="line"><span class="lineno"> 35</span> <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>.push_back(i);</div>
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<div class="line"><span class="lineno"> 36</span> }</div>
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<div class="line"><span class="lineno"> 37</span>}</div>
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<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>
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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> prime_factorization.cpp:13</div></div>
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<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>
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<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="center"><iframe scrolling="no" frameborder="0" src="../../db/d0d/prime__factorization_8cpp_affe577b9bce8f604f5e2f861c63c7099_cgraph.svg" width="359" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</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>
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<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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@@ -285,12 +291,14 @@ Here is the call graph for this function:</div>
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<div class="memproto">
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||||
<table class="memname">
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||||
<tr>
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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><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a><int, int> > factors</td>
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||||
<td class="memname">std::vector<std::pair<int, int> > factors</td>
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</tr>
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||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>list of prime factor-pairs </p>
|
||||
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||||
<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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<a id="a7fe38b570a51e448430d6a0f072c2f23" name="a7fe38b570a51e448430d6a0f072c2f23"></a>
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@@ -306,6 +314,8 @@ Here is the call graph for this function:</div>
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<p>Declaring variables for maintaing prime numbers and to check whether a number is prime or not </p>
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<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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<a id="af097796783684712b8326e5b82bfd4fe" name="af097796783684712b8326e5b82bfd4fe"></a>
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@@ -315,12 +325,14 @@ Here is the call graph for this function:</div>
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<div class="memproto">
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<tr>
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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><int> prime_numbers</td>
|
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<td class="memname">std::vector<int> prime_numbers</td>
|
||||
</tr>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>list of prime numbers </p>
|
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||||
<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>
|
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|
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