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<p>A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> <br /></td></tr>
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<tr class="memitem:a8d8e81a7cd59644b311ef9adb268f5f0"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a> (const uint64_t &amp;n)</td></tr>
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<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test function. <a href="../../d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d44/magic__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d9/d44/magic__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number. </p>
<p>This is a shortcut method to verify Magic Number. On dividing the input by 9, if the remainder is 1 then the number is a magic number else not. The divisibility rule of 9 says that a number is divisible by 9 if the sum of its digits are also divisible by 9. Therefore, if a number is divisible by 9, then, recursively, all the digit sums are also divisible by 9. The final digit sum is always 9. An increase of 1 in the original number will increase the ultimate value by 1, making it 10 and the ultimate sum will be 1, thus verifying that it is a magic number. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/neha-hasija17">Neha Hasija</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; {</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; <a class="code" href="../../d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// execute the tests</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;}</div>
<div class="ttc" id="amagic__number_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d9/d44/magic__number_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test function.</div><div class="ttdef"><b>Definition:</b> magic_number.cpp:51</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&nbsp;</a></span>tests()</h2>
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<td class="memname">static void tests </td>
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<p>Test function. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 1:\t n=60\n&quot;</span>;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; assert(<a class="code" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a>(60) == <span class="keyword">false</span>);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 2:\t n=730\n&quot;</span>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; assert(<a class="code" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a>(730) == <span class="keyword">true</span>);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 3:\t n=0\n&quot;</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; assert(<a class="code" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a>(0) == <span class="keyword">false</span>);</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 4:\t n=479001600\n&quot;</span>;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; assert(<a class="code" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a>(479001600) == <span class="keyword">false</span>);</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test 5:\t n=-35\n&quot;</span>;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; assert(<a class="code" href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a>(-35) == <span class="keyword">false</span>);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;}</div>
<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>
<div class="ttc" id="anamespacemath_html_a8d8e81a7cd59644b311ef9adb268f5f0"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a8d8e81a7cd59644b311ef9adb268f5f0">math::magic_number</a></div><div class="ttdeci">bool magic_number(const uint64_t &amp;n)</div><div class="ttdef"><b>Definition:</b> magic_number.cpp:32</div></div>
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