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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<div class="headertitle"><div class="title">sol1.c File Reference</div></div>
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<p><a href="https://projecteuler.net/problem=23" target="_blank">Problem 23</a> solution
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;stdio.h&gt;</code><br />
<code>#include &lt;stdlib.h&gt;</code><br />
<code>#include &lt;time.h&gt;</code><br />
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Include dependency graph for sol1.c:</div>
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Functions</h2></td></tr>
<tr class="memitem:a1aca7f530f82b27100262adba9e7556b"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a> (unsigned long N)</td></tr>
<tr class="memdesc:a1aca7f530f82b27100262adba9e7556b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns: -1 if N is deficient 1 if N is abundant 0 if N is perfect. <a href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">More...</a><br /></td></tr>
<tr class="separator:a1aca7f530f82b27100262adba9e7556b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4f128410e6582fe26488e2316cc96e17"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a> (unsigned long N)</td></tr>
<tr class="memdesc:a4f128410e6582fe26488e2316cc96e17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Is the given number an abundant number (1) or not (0) <a href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">More...</a><br /></td></tr>
<tr class="separator:a4f128410e6582fe26488e2316cc96e17"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a> (unsigned long N)</td></tr>
<tr class="memdesc:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find the next abundant number after N and not including N. <a href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">More...</a><br /></td></tr>
<tr class="separator:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a> (unsigned long N)</td></tr>
<tr class="memdesc:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="mdescLeft">&#160;</td><td class="mdescRight">check if a given number can be represented as a sum of two abundant numbers. <a href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">More...</a><br /></td></tr>
<tr class="separator:a3ab61b5a1c4f2288625d160aa0ea8478"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/ddb/problem__23_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
<tr class="memdesc:a3c04138a5bfe5d72780bb7e82a18e627"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d7/ddb/problem__23_2sol1_8c.html#a3c04138a5bfe5d72780bb7e82a18e627">More...</a><br /></td></tr>
<tr class="separator:a3c04138a5bfe5d72780bb7e82a18e627"><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 ><a href="https://projecteuler.net/problem=23" target="_blank">Problem 23</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ac5d600bf3077f4188afc4c5cd2c40eaf" name="ac5d600bf3077f4188afc4c5cd2c40eaf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac5d600bf3077f4188afc4c5cd2c40eaf">&#9670;&#160;</a></span>get_next_abundant()</h2>
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<td class="memname">unsigned long get_next_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>Find the next abundant number after N and not including N. </p>
<div class="fragment"><div class="line"><span class="lineno"> 56</span>{</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i;</div>
<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">for</span> (i = N + 1; !<a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a>(i); i++)</div>
<div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> ;</div>
<div class="line"><span class="lineno"> 61</span> }</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">return</span> i;</div>
<div class="line"><span class="lineno"> 63</span>}</div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a4f128410e6582fe26488e2316cc96e17"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a></div><div class="ttdeci">unsigned long is_abundant(unsigned long N)</div><div class="ttdoc">Is the given number an abundant number (1) or not (0)</div><div class="ttdef"><b>Definition:</b> sol1.c:47</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1aca7f530f82b27100262adba9e7556b">&#9670;&#160;</a></span>get_perfect_number()</h2>
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<td class="memname">char get_perfect_number </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
<td></td>
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<p>Returns: -1 if N is deficient 1 if N is abundant 0 if N is perfect. </p>
<div class="fragment"><div class="line"><span class="lineno"> 20</span>{</div>
<div class="line"><span class="lineno"> 21</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 1;</div>
<div class="line"><span class="lineno"> 22</span> <span class="keywordtype">char</span> ret = 0;</div>
<div class="line"><span class="lineno"> 23</span> </div>
<div class="line"><span class="lineno"> 24</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = 2; i * i &lt;= N; i++)</div>
<div class="line"><span class="lineno"> 25</span> {</div>
<div class="line"><span class="lineno"> 26</span> <span class="keywordflow">if</span> (N % i == 0)</div>
<div class="line"><span class="lineno"> 27</span> {</div>
<div class="line"><span class="lineno"> 28</span> sum += i;</div>
<div class="line"><span class="lineno"> 29</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> tmp = N / i;</div>
<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">if</span> (tmp != i)</div>
<div class="line"><span class="lineno"> 31</span> {</div>
<div class="line"><span class="lineno"> 32</span> sum += tmp;</div>
<div class="line"><span class="lineno"> 33</span> }</div>
<div class="line"><span class="lineno"> 34</span> }</div>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> ret = sum == N ? 0 : (sum &gt; N ? 1 : -1);</div>
<div class="line"><span class="lineno"> 38</span> <span class="comment">// #ifdef DEBUG</span></div>
<div class="line"><span class="lineno"> 39</span> <span class="comment">// printf(&quot;%5lu: %5lu : %d\n&quot;, N, sum, ret);</span></div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// #endif</span></div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span> ret;</div>
<div class="line"><span class="lineno"> 42</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4f128410e6582fe26488e2316cc96e17">&#9670;&#160;</a></span>is_abundant()</h2>
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<td class="memname">unsigned long is_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
<td></td>
</tr>
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<p>Is the given number an abundant number (1) or not (0) </p>
<div class="fragment"><div class="line"><span class="lineno"> 48</span>{</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a>(N) == 1 ? 1 : 0;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a1aca7f530f82b27100262adba9e7556b"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a1aca7f530f82b27100262adba9e7556b">get_perfect_number</a></div><div class="ttdeci">char get_perfect_number(unsigned long N)</div><div class="ttdoc">Returns: -1 if N is deficient 1 if N is abundant 0 if N is perfect.</div><div class="ttdef"><b>Definition:</b> sol1.c:19</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3ab61b5a1c4f2288625d160aa0ea8478">&#9670;&#160;</a></span>is_sum_of_abundant()</h2>
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<td class="memname">char is_sum_of_abundant </td>
<td>(</td>
<td class="paramtype">unsigned long&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
<td></td>
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<p>check if a given number can be represented as a sum of two abundant numbers. </p>
<dl class="section return"><dt>Returns</dt><dd>1 - if yes </dd>
<dd>
0 - if not </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 72</span>{</div>
<div class="line"><span class="lineno"> 73</span> <span class="comment">/* optimized logic:</span></div>
<div class="line"><span class="lineno"> 74</span><span class="comment"> * i + j = N where both i and j should be abundant</span></div>
<div class="line"><span class="lineno"> 75</span><span class="comment"> * hence we can simply check for j = N - i as we loop through i</span></div>
<div class="line"><span class="lineno"> 76</span><span class="comment"> */</span></div>
<div class="line"><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = <a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(1); i &lt;= (N &gt;&gt; 1);</div>
<div class="line"><span class="lineno"> 78</span> i = <a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(i))</div>
<div class="line"><span class="lineno"> 79</span> {</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a>(N - i))</div>
<div class="line"><span class="lineno"> 81</span> {</div>
<div class="line"><span class="lineno"> 82</span><span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><span class="lineno"> 83</span> printf(<span class="stringliteral">&quot;\t%4lu + %4lu = %4lu\n&quot;</span>, i, N - i, N);</div>
<div class="line"><span class="lineno"> 84</span><span class="preprocessor">#endif</span></div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><span class="lineno"> 86</span> }</div>
<div class="line"><span class="lineno"> 87</span> }</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 89</span>}</div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_ac5d600bf3077f4188afc4c5cd2c40eaf"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a></div><div class="ttdeci">unsigned long get_next_abundant(unsigned long N)</div><div class="ttdoc">Find the next abundant number after N and not including N.</div><div class="ttdef"><b>Definition:</b> sol1.c:55</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>argc</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
</tr>
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<td></td>
<td>)</td>
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<p>Main function. </p>
<div class="fragment"><div class="line"><span class="lineno"> 93</span>{</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> MAX_N = 28123; <span class="comment">/* upper limit of numbers to check */</span></div>
<div class="line"><span class="lineno"> 95</span> </div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 0;</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">if</span> (argc == 2)</div>
<div class="line"><span class="lineno"> 98</span> {</div>
<div class="line"><span class="lineno"> 99</span> MAX_N = strtoul(argv[1], NULL, 10);</div>
<div class="line"><span class="lineno"> 100</span> }</div>
<div class="line"><span class="lineno"> 101</span> </div>
<div class="line"><span class="lineno"> 102</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><span class="lineno"> 103</span> printf(<span class="stringliteral">&quot;Using OpenMP parallleization with %d threads\n&quot;</span>,</div>
<div class="line"><span class="lineno"> 104</span> omp_get_max_threads());</div>
<div class="line"><span class="lineno"> 105</span><span class="preprocessor">#else</span></div>
<div class="line"><span class="lineno"> 106</span> printf(<span class="stringliteral">&quot;Not using parallleization!\n&quot;</span>);</div>
<div class="line"><span class="lineno"> 107</span><span class="preprocessor">#endif</span></div>
<div class="line"><span class="lineno"> 108</span> </div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordtype">double</span> total_duration = 0.f;</div>
<div class="line"><span class="lineno"> 110</span> <span class="keywordtype">long</span> i;</div>
<div class="line"><span class="lineno"> 111</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><span class="lineno"> 112</span><span class="preprocessor">#pragma omp parallel for reduction(+ : sum) schedule(runtime)</span></div>
<div class="line"><span class="lineno"> 113</span><span class="preprocessor">#endif</span></div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">for</span> (i = 1; i &lt;= MAX_N; i++)</div>
<div class="line"><span class="lineno"> 115</span> {</div>
<div class="line"><span class="lineno"> 116</span> clock_t start_time = clock();</div>
<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a>(i))</div>
<div class="line"><span class="lineno"> 118</span> {</div>
<div class="line"><span class="lineno"> 119</span> sum += i;</div>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span> clock_t end_time = clock();</div>
<div class="line"><span class="lineno"> 122</span> total_duration += (double)(end_time - start_time) / CLOCKS_PER_SEC;</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> printf(<span class="stringliteral">&quot;... %5lu: %8lu\r&quot;</span>, i, sum);</div>
<div class="line"><span class="lineno"> 125</span> <span class="keywordflow">if</span> (i % 100 == 0)</div>
<div class="line"><span class="lineno"> 126</span> {</div>
<div class="line"><span class="lineno"> 127</span> fflush(stdout);</div>
<div class="line"><span class="lineno"> 128</span> }</div>
<div class="line"><span class="lineno"> 129</span> }</div>
<div class="line"><span class="lineno"> 130</span> </div>
<div class="line"><span class="lineno"> 131</span> printf(<span class="stringliteral">&quot;Time taken: %.4g s\n&quot;</span>, total_duration);</div>
<div class="line"><span class="lineno"> 132</span> printf(</div>
<div class="line"><span class="lineno"> 133</span> <span class="stringliteral">&quot;Sum of numbers that cannot be represented as sum of two abundant &quot;</span></div>
<div class="line"><span class="lineno"> 134</span> <span class="stringliteral">&quot;numbers : %lu\n&quot;</span>,</div>
<div class="line"><span class="lineno"> 135</span> sum);</div>
<div class="line"><span class="lineno"> 136</span> </div>
<div class="line"><span class="lineno"> 137</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 138</span>}</div>
<div class="ttc" id="aproblem__23_2sol1_8c_html_a3ab61b5a1c4f2288625d160aa0ea8478"><div class="ttname"><a href="../../d7/ddb/problem__23_2sol1_8c.html#a3ab61b5a1c4f2288625d160aa0ea8478">is_sum_of_abundant</a></div><div class="ttdeci">char is_sum_of_abundant(unsigned long N)</div><div class="ttdoc">check if a given number can be represented as a sum of two abundant numbers.</div><div class="ttdef"><b>Definition:</b> sol1.c:71</div></div>
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