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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<p><a href="https://projecteuler.net/problem=21" target="_blank">Problem 21</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:aacf4b7e708651d2164e86958f2c29c93"><td class="memItemLeft" align="right" valign="top">unsigned long&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d1a/problem__21_2sol1_8c.html#aacf4b7e708651d2164e86958f2c29c93">sum_of_divisors</a> (unsigned int N)</td></tr>
<tr class="memdesc:aacf4b7e708651d2164e86958f2c29c93"><td class="mdescLeft">&#160;</td><td class="mdescRight">function to return the sum of proper divisors of N <a href="../../df/d1a/problem__21_2sol1_8c.html#aacf4b7e708651d2164e86958f2c29c93">More...</a><br /></td></tr>
<tr class="separator:aacf4b7e708651d2164e86958f2c29c93"><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="../../df/d1a/problem__21_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="../../df/d1a/problem__21_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=21" target="_blank">Problem 21</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="a3c04138a5bfe5d72780bb7e82a18e627" name="a3c04138a5bfe5d72780bb7e82a18e627"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">&#9670;&nbsp;</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>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">char **&#160;</td>
<td class="paramname"><em>argv</em>&#160;</td>
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<td>)</td>
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<p>Main function. </p>
<div class="fragment"><div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>{</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 0;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> MAX_N = 500;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">if</span> (argc == 2)</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> MAX_N = atoi(argv[1]);</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="comment">/*</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment"> * We use an array of flags to check if a number at the index was:</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment"> * not-processed = 0</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment"> * is amicable = 1</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"> * not amicable = -1</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment"> */</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordtype">char</span> *flags = (<span class="keywordtype">char</span> *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#afdddaa949a93c1ef559a638e98f9c21b">calloc</a>(MAX_N, <span class="keyword">sizeof</span>(<span class="keywordtype">char</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> clock_t start_time = clock();</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordtype">int</span> i;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">/* there are no such numbers till 10. Lets search from there on */</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (i = 10; i &lt; MAX_N; i++)</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> (flags[i] != 0)</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">/* already processed, skip */</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> b = <a class="code hl_function" href="../../df/d1a/problem__21_2sol1_8c.html#aacf4b7e708651d2164e86958f2c29c93">sum_of_divisors</a>(i);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">if</span> (b &gt;= MAX_N)</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> flags[i] = -1;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (flags[b] == -1)</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> c = <a class="code hl_function" href="../../df/d1a/problem__21_2sol1_8c.html#aacf4b7e708651d2164e86958f2c29c93">sum_of_divisors</a>(b);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">if</span> (c == i &amp;&amp; b != i)</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">/* found amicable */</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> flags[b] = 1;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> flags[i] = 1;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> sum += b + i;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> printf(<span class="stringliteral">&quot;Amicable: %4d : %4d\n&quot;</span>, i, b);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="preprocessor">#endif</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">else</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> {</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> flags[i] = -1;</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">if</span> (b &lt; MAX_N)</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> flags[b] = -1;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> }</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> }</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> clock_t end_time = clock();</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> printf(<span class="stringliteral">&quot;\nTime taken: %.4g millisecond\n&quot;</span>,</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> 1e3 * (end_time - start_time) / CLOCKS_PER_SEC);</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> printf(<span class="stringliteral">&quot;Sum of all numbers = %lu\n&quot;</span>, sum);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(flags);</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>}</div>
<div class="ttc" id="amalloc__dbg_8h_html_a9cc854374299a1dd933bf62029761768"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a></div><div class="ttdeci">#define free(ptr)</div><div class="ttdoc">This macro replace the standard free function with free_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:26</div></div>
<div class="ttc" id="amalloc__dbg_8h_html_afdddaa949a93c1ef559a638e98f9c21b"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#afdddaa949a93c1ef559a638e98f9c21b">calloc</a></div><div class="ttdeci">#define calloc(elemCount, elemSize)</div><div class="ttdoc">This macro replace the standard calloc function with calloc_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:22</div></div>
<div class="ttc" id="aproblem__21_2sol1_8c_html_aacf4b7e708651d2164e86958f2c29c93"><div class="ttname"><a href="../../df/d1a/problem__21_2sol1_8c.html#aacf4b7e708651d2164e86958f2c29c93">sum_of_divisors</a></div><div class="ttdeci">unsigned long sum_of_divisors(unsigned int N)</div><div class="ttdoc">function to return the sum of proper divisors of N</div><div class="ttdef"><b>Definition:</b> sol1.c:13</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aacf4b7e708651d2164e86958f2c29c93">&#9670;&nbsp;</a></span>sum_of_divisors()</h2>
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<td class="memname">unsigned long sum_of_divisors </td>
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<td class="paramtype">unsigned int&#160;</td>
<td class="paramname"><em>N</em></td><td>)</td>
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<p>function to return the sum of proper divisors of N </p>
<div class="fragment"><div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span>{</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> sum = 1 + N; <span class="comment">/* 1 and itself are always a divisor */</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="comment">/* divisors are symmertically distributed about the square-root */</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 2; i * i &lt; N; i++)</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> {</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> <span class="keywordflow">if</span> ((N % i) != 0)</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="comment">/* i is not a divisor of N */</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// #ifdef DEBUG</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// printf(&quot;%4d, %4d,&quot;, i, N / i);</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// #endif</span></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> sum += i + (N / i);</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> }</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// #ifdef DEBUG</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// printf(&quot;\nSum of divisors of %4d: %4d\n&quot;, N, sum);</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// #endif</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>}</div>
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