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Namespaces</h2></td></tr>
<tr class="memitem:"><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="memitem:dynamic_5Fprogramming" id="r_dynamic_5Fprogramming"><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>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/daf/namespace_knapsack.html">Knapsack</a></td></tr>
<tr class="memitem:Knapsack" id="r_Knapsack"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/daf/namespace_knapsack.html">Knapsack</a></td></tr>
<tr class="memdesc:d7/daf/namespace_knapsack"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implementation of 0-1 <a class="el" href="../../d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> problem. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a15edf30f336885e5b851f6b7199c6cd1"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a15edf30f336885e5b851f6b7199c6cd1">dynamic_programming::knapsack::maxKnapsackValue</a> (const int capacity, const std::array&lt; int, n &gt; &amp;weight, const std::array&lt; int, n &gt; &amp;value)</td></tr>
<tr class="memitem:a15edf30f336885e5b851f6b7199c6cd1 template"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a15edf30f336885e5b851f6b7199c6cd1">dynamic_programming::knapsack::maxKnapsackValue</a> (const int capacity, const std::array&lt; int, n &gt; &amp;weight, const std::array&lt; int, n &gt; &amp;value)</td></tr>
<tr class="memdesc:a15edf30f336885e5b851f6b7199c6cd1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Picking up all those items whose combined weight is below the given capacity and calculating the value of those picked items. Trying all possible combinations will yield the maximum knapsack value. <br /></td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><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>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of [0-1 <a class="el" href="../../d7/daf/namespace_knapsack.html" title="Implementation of 0-1 Knapsack problem.">Knapsack</a> Problem] (<a href="https://en.wikipedia.org/wiki/Knapsack_problem">https://en.wikipedia.org/wiki/Knapsack_problem</a>) </p>
<p>Given weights and values of n items, put these items in a knapsack of capacity <code>W</code> to get the maximum total value in the knapsack. In other words, given two integer arrays <code>val[0..n-1]</code> and <code>wt[0..n-1]</code> which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of <code>val[]</code> such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)</p>
<h3><a class="anchor" id="autotoc_md69"></a>
<p>Given weights and values of n items, put these items in a knapsack of capacity <span class="tt">W</span> to get the maximum total value in the knapsack. In other words, given two integer arrays <span class="tt">val[0..n-1]</span> and <span class="tt">wt[0..n-1]</span> which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of <span class="tt">val[]</span> such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)</p>
<h3 class="doxsection"><a class="anchor" id="autotoc_md69"></a>
Algorithm</h3>
<p>The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than <code>W</code>. From all such subsets, pick the maximum value subset.</p>
<p>The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than <span class="tt">W</span>. From all such subsets, pick the maximum value subset.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Anmol3299" target="_blank">Anmol</a> </dd>
<dd>
<a href="https://github.com/Pardeep009" target="_blank">Pardeep</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../db/d16/0__1__knapsack_8cpp_source.html">0_1_knapsack.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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