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<title>Algorithms_in_C++: math/prime_factorization.cpp File Reference</title>
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@@ -118,20 +120,20 @@ Include dependency graph for prime_factorization.cpp:</div>
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</div><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="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a> (int N)</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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<tr class="separator:affe577b9bce8f604f5e2f861c63c7099"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0ece0145fb29a5cf48378c23dde2da46" id="r_a0ece0145fb29a5cf48378c23dde2da46"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a> (int num)</td></tr>
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<tr class="memitem:a0ece0145fb29a5cf48378c23dde2da46" id="r_a0ece0145fb29a5cf48378c23dde2da46"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a> (int num)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d0d/prime__factorization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="var-members" name="var-members"></a>
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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="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a> [1000006]</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="../../db/d0d/prime__factorization_8cpp.html#af097796783684712b8326e5b82bfd4fe">prime_numbers</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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@@ -146,8 +148,7 @@ Variables</h2></td></tr>
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<tr>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"></span></td><td>)</td>
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@@ -159,12 +160,12 @@ Variables</h2></td></tr>
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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"> 67</span> </div>
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<div class="line"><span class="lineno"> 68</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">SieveOfEratosthenes</a>(num);</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"> 70</span> <a class="code hl_function" href="../../db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a>(num);</div>
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<div class="line"><span class="lineno"> 70</span> <a class="code hl_function" href="#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization</a>(num);</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="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>) {</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"> 75</span> }</div>
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<div class="line"><span class="lineno"> 76</span> </div>
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@@ -173,9 +174,9 @@ Variables</h2></td></tr>
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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="../../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> prime_factorization.cpp:40</div></div>
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<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< std::pair< int, int > > factors</div><div class="ttdef"><b>Definition</b> prime_factorization.cpp:19</div></div>
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<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> 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> 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>
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||||
<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><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -193,8 +194,7 @@ Here is the call graph for this function:</div>
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<tr>
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<td class="memname">void prime_factorization </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>num</em></td><td>)</td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>num</em></span></td><td>)</td>
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@@ -203,7 +203,7 @@ Here is the call graph for this function:</div>
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<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"> 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] <= num; i++) {</div>
|
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<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i] <= num; i++) {</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordtype">int</span> count = 0;</div>
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<div class="line"><span class="lineno"> 45</span> </div>
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<div class="line"><span class="lineno"> 46</span> <span class="comment">// termination condition</span></div>
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<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><span class="lineno"> 49</span> }</div>
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<div class="line"><span class="lineno"> 50</span> </div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 51</span> <span class="keywordflow">while</span> (number % <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i] == 0) {</div>
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<div class="line"><span class="lineno"> 52</span> count++;</div>
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<div class="line"><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>
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||||
<div class="line"><span class="lineno"> 53</span> number = number / <a class="code hl_variable" href="#af097796783684712b8326e5b82bfd4fe">prime_numbers</a>[i];</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="../../db/d0d/prime__factorization_8cpp.html#acfb0df439a4beae5a34ef131ce737c1b">factors</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<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="../../db/d0d/prime__factorization_8cpp.html#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>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(<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"> 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="../../db/d0d/prime__factorization_8cpp.html#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 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 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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Here is the call graph for this function:</div>
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@@ -240,8 +240,7 @@ Here is the call graph for this function:</div>
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<tr>
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<td class="memname">void SieveOfEratosthenes </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>N</em></td><td>)</td>
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<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>N</em></span></td><td>)</td>
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<td></td>
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</tr>
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</table>
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@@ -249,22 +248,22 @@ Here is the call graph for this function:</div>
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<p>Calculating prime number upto a given range </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="../../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>
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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"> 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="../../d6/d42/data__structures_2sparse__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="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i]) {</div>
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<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 2 * i; j <= <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; j += i) <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[j] = <span class="keyword">false</span>;</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"> 29</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 2 * i; j <= <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; j += i) <a class="code hl_variable" href="#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[j] = <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 30</span> }</div>
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<div class="line"><span class="lineno"> 31</span> }</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="../../d6/d42/data__structures_2sparse__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="../../db/d0d/prime__factorization_8cpp.html#a7fe38b570a51e448430d6a0f072c2f23">isprime</a>[i])</div>
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||||
<div class="line"><span class="lineno"> 35</span> <a class="code hl_variable" href="../../db/d0d/prime__factorization_8cpp.html#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"> 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"> 36</span> }</div>
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<div class="line"><span class="lineno"> 37</span>}</div>
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||||
<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__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:47</div></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="../../db/d0d/prime__factorization_8cpp.html#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="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><!-- 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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@@ -325,7 +324,7 @@ Here is the call graph for this function:</div>
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