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<div class="headertitle"><div class="title">maximum_circular_subarray.cpp File Reference</div></div>
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<p>C++ program for maximum contiguous circular sum problem using <a href="https://en.wikipedia.org/wiki/Maximum_subarray_problem" target="_blank">Kadane's Algorithm</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for maximum_circular_subarray.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:dd/d24/namespacedynamic__programming" id="r_dd/d24/namespacedynamic__programming"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a></td></tr>
<tr class="memdesc:dd/d24/namespacedynamic__programming"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dynamic Programming algorithms. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a5239174fa0d987f2c67edc1f2af82beb" id="r_a5239174fa0d987f2c67edc1f2af82beb"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d24/namespacedynamic__programming.html#a5239174fa0d987f2c67edc1f2af82beb">dynamic_programming::maxCircularSum</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;arr)</td></tr>
<tr class="memdesc:a5239174fa0d987f2c67edc1f2af82beb"><td class="mdescLeft">&#160;</td><td class="mdescRight">returns the maximum contiguous circular sum of an array <br /></td></tr>
<tr class="separator:a5239174fa0d987f2c67edc1f2af82beb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementation. <br /></td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97" id="r_a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
<tr class="memdesc:a0ddf1224851353fc92bfbff6f499fa97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>C++ program for maximum contiguous circular sum problem using <a href="https://en.wikipedia.org/wiki/Maximum_subarray_problem" target="_blank">Kadane's Algorithm</a> </p>
<p>The idea is to modify Kadane’s algorithm to find a minimum contiguous subarray sum and the maximum contiguous subarray sum, then check for the maximum value between the max_value and the value left after subtracting min_value from the total sum. For more information, check <a href="https://www.geeksforgeeks.org/maximum-contiguous-circular-sum/" target="_blank">Geeks For Geeks</a> explanation page. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0ddf1224851353fc92bfbff6f499fa97" name="a0ddf1224851353fc92bfbff6f499fa97"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>argc</em>, </span></td>
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<td class="paramkey"></td>
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<td class="paramtype">char *</td> <td class="paramname"><span class="paramname"><em>argv</em>[]</span>&#160;)</td>
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<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count (ignored) </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments (ignored) </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 87</span> {</div>
<div class="line"><span class="lineno"> 88</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 90</span>}</div>
<div class="ttc" id="amaximum__circular__subarray_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> maximum_circular_subarray.cpp:64</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<td class="paramname"><span class="paramname"></span></td><td>)</td>
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<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 64</span> {</div>
<div class="line"><span class="lineno"> 65</span> <span class="comment">// Description of the test</span></div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// Input: arr[] = {8, -8, 9, -9, 10, -11, 12}</span></div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// Output: 22 </span></div>
<div class="line"><span class="lineno"> 68</span> <span class="comment">// Explanation: Subarray 12, 8, -8, 9, -9, 10 gives the maximum sum, that is 22.</span></div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordtype">int</span> n = 7; <span class="comment">// size of the array</span></div>
<div class="line"><span class="lineno"> 71</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> arr = {8, -8, 9, -9, 10, -11, 12}; </div>
<div class="line"><span class="lineno"> 72</span> assert(<a class="code hl_function" href="../../dd/d24/namespacedynamic__programming.html#a5239174fa0d987f2c67edc1f2af82beb">dynamic_programming::maxCircularSum</a>(arr) == 22); <span class="comment">// this ensures that the algorithm works as expected</span></div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> arr = {8, -8, 10, -9, 10, -11, 12};</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="../../dd/d24/namespacedynamic__programming.html#a5239174fa0d987f2c67edc1f2af82beb">dynamic_programming::maxCircularSum</a>(arr) == 23);</div>
<div class="line"><span class="lineno"> 76</span> </div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 78</span>}</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="anamespacedynamic__programming_html_a5239174fa0d987f2c67edc1f2af82beb"><div class="ttname"><a href="../../dd/d24/namespacedynamic__programming.html#a5239174fa0d987f2c67edc1f2af82beb">dynamic_programming::maxCircularSum</a></div><div class="ttdeci">int maxCircularSum(std::vector&lt; int &gt; &amp;arr)</div><div class="ttdoc">returns the maximum contiguous circular sum of an array</div><div class="ttdef"><b>Definition</b> maximum_circular_subarray.cpp:26</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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