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&#160;<span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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Documentation for 5d9bf078514f3b5dd913100f10fe56f050f005d7
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Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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<p><a href="https://projecteuler.net/problem=23">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>
Documentation for 8914128e137073825c3730774c678aca379e7a49
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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>
Documentation for 8914128e137073825c3730774c678aca379e7a49
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<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. <br /></td></tr>
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Documentation for 8914128e137073825c3730774c678aca379e7a49
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Documentation for 5d9bf078514f3b5dd913100f10fe56f050f005d7
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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>
Documentation for 8914128e137073825c3730774c678aca379e7a49
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<tr class="memdesc:a4f128410e6582fe26488e2316cc96e17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Is the given number an abundant number (1) or not (0) <br /></td></tr>
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Documentation for 8914128e137073825c3730774c678aca379e7a49
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Documentation for 5d9bf078514f3b5dd913100f10fe56f050f005d7
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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>
Documentation for 8914128e137073825c3730774c678aca379e7a49
2020-06-29 04:40:24 +08:00
<tr class="memdesc:ac5d600bf3077f4188afc4c5cd2c40eaf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Find the next abundant number after N and not including N. <br /></td></tr>
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Documentation for 5d9bf078514f3b5dd913100f10fe56f050f005d7
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<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>
Documentation for 8914128e137073825c3730774c678aca379e7a49
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<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>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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Documentation for 8914128e137073825c3730774c678aca379e7a49
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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. <br /></td></tr>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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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">Problem 23</a> solution </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a3ab61b5a1c4f2288625d160aa0ea8478"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3ab61b5a1c4f2288625d160aa0ea8478">&#9670;&nbsp;</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>
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Documentation for 8914128e137073825c3730774c678aca379e7a49
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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>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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<dd>
0 - if not </dd></dl>
Documentation for 5d9bf078514f3b5dd913100f10fe56f050f005d7
2020-07-17 04:36:47 +08:00
<div class="fragment"><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;{</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; <span class="comment">/* optimized logic:</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="comment"> * i + j = N where both i and j should be abundant</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="comment"> * hence we can simply check for j = N - i as we loop through i</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> i = <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(1); i &lt;= (N &gt;&gt; 1);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; i = <a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#ac5d600bf3077f4188afc4c5cd2c40eaf">get_next_abundant</a>(i))</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="keywordflow">if</span> (<a class="code" href="../../d7/ddb/problem__23_2sol1_8c.html#a4f128410e6582fe26488e2316cc96e17">is_abundant</a>(N - i))</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; {</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="preprocessor">#ifdef DEBUG</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; printf(<span class="stringliteral">&quot;\t%4lu + %4lu = %4lu\n&quot;</span>, i, N - i, N);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; }</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; }</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;}</div>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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Documentation for 8914128e137073825c3730774c678aca379e7a49
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<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>
<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>
Documentation for d5d68d5842827cbbc1d35d7ec67247b97acb8dde
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