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<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/fast_integer_input.cpp" target="_blank">Fast Integer Input</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/happy_number.cpp" target="_blank">Happy Number</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/iterative_tree_traversals.cpp" target="_blank">Iterative Tree Traversals</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/kadanes3.cpp" target="_blank">Kadanes3</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/lru_cache.cpp" target="_blank">Lru Cache</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/matrix_exponentiation.cpp" target="_blank">Matrix Exponentiation</a></li>
<li><a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/others/palindrome_of_number.cpp" target="_blank">Palindrome Of Number</a></li>

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<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">kadanes3.cpp File Reference</div></div>
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<p>Efficient implementation for maximum contiguous subarray sum by <a href="https://www.geeksforgeeks.org/largest-sum-contiguous-subarray/" target="_blank">Kadane's algorithm</a>.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;array&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;climits&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for kadanes3.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a338439a04148ae89f695595acfa5c147"><td class="memTemplParams" colspan="2">template&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> SIZE&gt; </td></tr>
<tr class="memitem:a338439a04148ae89f695595acfa5c147"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../de/dcd/kadanes3_8cpp.html#a338439a04148ae89f695595acfa5c147">max_subarray_sum</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int64_t, SIZE &gt; arr, uint64_t length)</td></tr>
<tr class="memdesc:a338439a04148ae89f695595acfa5c147"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <a href="../../de/dcd/kadanes3_8cpp.html#a338439a04148ae89f695595acfa5c147">More...</a><br /></td></tr>
<tr class="separator:a338439a04148ae89f695595acfa5c147"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dcd/kadanes3_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <a href="../../de/dcd/kadanes3_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dcd/kadanes3_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../de/dcd/kadanes3_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><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 >Efficient implementation for maximum contiguous subarray sum by <a href="https://www.geeksforgeeks.org/largest-sum-contiguous-subarray/" target="_blank">Kadane's algorithm</a>. </p>
<p >Our task is to take length of array and then the whole array as input from the user and then calculate the maximum contiguos subarray sum for the input array, using the kadane's algorithm.</p>
<p >There can be a case that all the elements in the input array are negative. In that case, the least value among all elements is the maximum sum with subarray length = 1. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/thisabhijeet" target="_blank">Abhijeet Tiwari</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="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 id="l00060" name="l00060"></a><span class="lineno"> 60</span> {</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Below is the code for accepting array from the user and then</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// calling the function for the required output.</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// It has been commented for now so that the test() function can run</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// and the test cases can be verified.</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// code for accepting array from user starts</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// std::size_t n; // variable for length of input array</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// std::cout &lt;&lt; &quot;Enter length of the array: &quot;;</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// std::cin &gt;&gt; n;</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// std::array&lt;int64_t, 100&gt; arr = {0};</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// // we need to give a constant in size. Hence we have allocated 100</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// for now.</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// for (int i = 0; i &lt; n; i++)</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// taking input of each element of the array</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// {</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// std::cin &gt;&gt; arr[i];</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// }</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// code for accepting array from user ends</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// int max_sum = max_subarray_sum(arr, n);</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// std::cout &lt;&lt; &quot;Maximum contiguous sum for this array is : &quot; &lt;&lt; max_sum</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// &lt;&lt; std::endl;</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> <a class="code hl_function" href="../../de/dcd/kadanes3_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span>}</div>
<div class="ttc" id="akadanes3_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/dcd/kadanes3_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> kadanes3.cpp:48</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a338439a04148ae89f695595acfa5c147">&#9670;&nbsp;</a></span>max_subarray_sum()</h2>
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template&lt;<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/size_t.html">std::size_t</a> SIZE&gt; </div>
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<td class="memname">int max_subarray_sum </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int64_t, SIZE &gt;&#160;</td>
<td class="paramname"><em>arr</em>, </td>
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<td class="paramtype">uint64_t&#160;</td>
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<p>for IO operations </p>
<p >for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a> for assert for INT_MIN value</p>
<p >Utility function to check the current maximum number </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">arr</td><td>input array </td></tr>
<tr><td class="paramname">length</td><td>length of the input array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>maximum contiguous subarray sum </dd></dl>
<div class="fragment"><div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> int64_t current_max = INT_MIN, current_sum = 0;</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; length; i++) {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> current_sum = current_sum + arr[i];</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">if</span> (current_max &lt; current_sum) {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> current_max = current_sum;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> }</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">if</span> (current_sum &lt; 0) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> current_sum = 0;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> current_max;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
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<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t, 4&gt;</a> arr = {1, 2, 3, 4};</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int64_t, 5&gt;</a> arr1 = {-1, -2, -4, -6, 7};</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> assert(<a class="code hl_function" href="../../de/dcd/kadanes3_8cpp.html#a338439a04148ae89f695595acfa5c147">max_subarray_sum</a>(arr, 4) == 10);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> assert(<a class="code hl_function" href="../../de/dcd/kadanes3_8cpp.html#a338439a04148ae89f695595acfa5c147">max_subarray_sum</a>(arr1, 5) == 7);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</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 test cases have passed!\n&quot;</span>;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>}</div>
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></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="akadanes3_8cpp_html_a338439a04148ae89f695595acfa5c147"><div class="ttname"><a href="../../de/dcd/kadanes3_8cpp.html#a338439a04148ae89f695595acfa5c147">max_subarray_sum</a></div><div class="ttdeci">int max_subarray_sum(std::array&lt; int64_t, SIZE &gt; arr, uint64_t length)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition:</b> kadanes3.cpp:29</div></div>
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