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<div id="projectbrief">Set of algorithms implemented in C++.</div>
<div id="projectbrief">All the algorithms implemented in C++</div>
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@@ -122,7 +139,9 @@ Include dependency graph for unbounded_0_1_knapsack.cpp:</div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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>
@@ -134,10 +153,10 @@ Namespaces</h2></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:afe447a5979582174908695952c8a079c" id="r_afe447a5979582174908695952c8a079c"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#afe447a5979582174908695952c8a079c">dynamic_programming::unbounded_knapsack::KnapSackFilling</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> i, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;val, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;wt, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; &amp;dp)</td></tr>
<tr class="memitem:afe447a5979582174908695952c8a079c" id="r_afe447a5979582174908695952c8a079c"><td class="memItemLeft" align="right" valign="top">std::uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#afe447a5979582174908695952c8a079c">dynamic_programming::unbounded_knapsack::KnapSackFilling</a> (std::uint16_t i, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt, std::vector&lt; std::vector&lt; int &gt; &gt; &amp;dp)</td></tr>
<tr class="memdesc:afe447a5979582174908695952c8a079c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursive function to calculate the maximum value obtainable using an unbounded knapsack approach. <br /></td></tr>
<tr class="separator:afe447a5979582174908695952c8a079c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1bcff7f76de48fa7f629480f8f18b5ef" id="r_a1bcff7f76de48fa7f629480f8f18b5ef"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> N, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;val, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;wt)</td></tr>
<tr class="memitem:a1bcff7f76de48fa7f629480f8f18b5ef" id="r_a1bcff7f76de48fa7f629480f8f18b5ef"><td class="memItemLeft" align="right" valign="top">std::uint16_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a> (std::uint16_t N, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt)</td></tr>
<tr class="memdesc:a1bcff7f76de48fa7f629480f8f18b5ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Wrapper function to initiate the unbounded knapsack calculation. <br /></td></tr>
<tr class="separator:a1bcff7f76de48fa7f629480f8f18b5ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
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@@ -157,6 +176,8 @@ Algorithm</h3>
<p>The approach uses dynamic programming to build a solution iteratively. A 2D array is used for memoization to store intermediate results, allowing the function to avoid redundant calculations.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/yeolesanskruti" target="_blank">Sanskruti Yeole</a> </dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../db/d16/0__1__knapsack_8cpp.html" title="Implementation of [0-1 Knapsack Problem] (https://en.wikipedia.org/wiki/Knapsack_problem)">dynamic_programming/0_1_knapsack.cpp</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html">unbounded_0_1_knapsack.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="afe447a5979582174908695952c8a079c" name="afe447a5979582174908695952c8a079c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#afe447a5979582174908695952c8a079c">&#9670;&#160;</a></span>KnapSackFilling()</h2>
@@ -165,29 +186,29 @@ Algorithm</h3>
<div class="memproto">
<table class="memname">
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> dynamic_programming::unbounded_knapsack::KnapSackFilling </td>
<td class="memname">std::uint16_t dynamic_programming::unbounded_knapsack::KnapSackFilling </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></td> <td class="paramname"><span class="paramname"><em>i</em></span>, </td>
<td class="paramtype">std::uint16_t</td> <td class="paramname"><span class="paramname"><em>i</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></td> <td class="paramname"><span class="paramname"><em>W</em></span>, </td>
<td class="paramtype">std::uint16_t</td> <td class="paramname"><span class="paramname"><em>W</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>val</em></span>, </td>
<td class="paramtype">const std::vector&lt; std::uint16_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>val</em></span>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>wt</em></span>, </td>
<td class="paramtype">const std::vector&lt; std::uint16_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>wt</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>dp</em></span>&#160;)</td>
<td class="paramtype">std::vector&lt; std::vector&lt; int &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>dp</em></span>&#160;)</td>
</tr>
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</div><div class="memdoc">
@@ -216,6 +237,8 @@ Algorithm</h3>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The maximum value that can be obtained for the given index and capacity. </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html">unbounded_0_1_knapsack.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 61</span> {</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">if</span> (i == 0) {</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">if</span> (wt[0] &lt;= W) {</div>
@@ -236,17 +259,11 @@ Algorithm</h3>
<div class="line"><span class="lineno"> 78</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>); <span class="comment">// Value taking item i</span></div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][W] =</div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(take, nottake); <span class="comment">// Store and return the maximum value</span></div>
<div class="line"><span class="lineno"> 81</span> std::max(take, nottake); <span class="comment">// Store and return the maximum value</span></div>
<div class="line"><span class="lineno"> 82</span>}</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> partition_problem.cpp:39</div></div>
<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_afe447a5979582174908695952c8a079c"><div class="ttname"><a href="#afe447a5979582174908695952c8a079c">dynamic_programming::unbounded_knapsack::KnapSackFilling</a></div><div class="ttdeci">std::uint16_t KnapSackFilling(std::uint16_t i, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt, std::vector&lt; std::vector&lt; int &gt; &gt; &amp;dp)</div><div class="ttdoc">Recursive function to calculate the maximum value obtainable using an unbounded knapsack approach.</div><div class="ttdef"><b>Definition</b> unbounded_0_1_knapsack.cpp:58</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/dec/unbounded__0__1__knapsack_8cpp_afe447a5979582174908695952c8a079c_cgraph.svg" width="287" height="91"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../de/d8c/partition__problem_8cpp_source.html#l00039">partition_problem.cpp:39</a></div></div>
<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_afe447a5979582174908695952c8a079c"><div class="ttname"><a href="#afe447a5979582174908695952c8a079c">dynamic_programming::unbounded_knapsack::KnapSackFilling</a></div><div class="ttdeci">std::uint16_t KnapSackFilling(std::uint16_t i, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt, std::vector&lt; std::vector&lt; int &gt; &gt; &amp;dp)</div><div class="ttdoc">Recursive function to calculate the maximum value obtainable using an unbounded knapsack approach.</div><div class="ttdef"><b>Definition</b> <a href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00058">unbounded_0_1_knapsack.cpp:58</a></div></div>
</div><!-- fragment -->
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@@ -266,17 +283,14 @@ Here is the call graph for this function:</div>
<p>main function </p>
<dl class="section return"><dt>Returns</dt><dd>0 on successful exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00170">170</a> of file <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html">unbounded_0_1_knapsack.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 170</span> {</div>
<div class="line"><span class="lineno"> 171</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// Run self test implementation</span></div>
<div class="line"><span class="lineno"> 172</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 173</span>}</div>
<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">self test implementation</div><div class="ttdef"><b>Definition</b> unbounded_0_1_knapsack.cpp:111</div></div>
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<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/dec/unbounded__0__1__knapsack_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="278" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">self test implementation</div><div class="ttdef"><b>Definition</b> <a href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00111">unbounded_0_1_knapsack.cpp:111</a></div></div>
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<p>self test implementation </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00111">111</a> of file <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html">unbounded_0_1_knapsack.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 111</span> {</div>
<div class="line"><span class="lineno"> 112</span> <span class="comment">// Test Case 1</span></div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> N1 = 4; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> wt1 = {1, 3, 4, 5}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 115</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> val1 = {6, 1, 7, 7}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W1 = 8; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 113</span> std::uint16_t N1 = 4; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 114</span> std::vector&lt;std::uint16_t&gt; wt1 = {1, 3, 4, 5}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 115</span> std::vector&lt;std::uint16_t&gt; val1 = {6, 1, 7, 7}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 116</span> std::uint16_t W1 = 8; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 117</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><span class="lineno"> 118</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><span class="lineno"> 119</span> N1, W1, val1, wt1) == 48);</div>
<div class="line"><span class="lineno"> 120</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;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 120</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 121</span> &lt;&lt; <a class="code hl_function" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><span class="lineno"> 122</span> N1, W1, val1, wt1)</div>
<div class="line"><span class="lineno"> 123</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 123</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 124</span> </div>
<div class="line"><span class="lineno"> 125</span> <span class="comment">// Test Case 2</span></div>
<div class="line"><span class="lineno"> 126</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> N2 = 3; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> wt2 = {10, 20, 30}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 128</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> val2 = {60, 100, 120}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 129</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W2 = 5; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 126</span> std::uint16_t N2 = 3; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 127</span> std::vector&lt;std::uint16_t&gt; wt2 = {10, 20, 30}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 128</span> std::vector&lt;std::uint16_t&gt; val2 = {60, 100, 120}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 129</span> std::uint16_t W2 = 5; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 130</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><span class="lineno"> 131</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><span class="lineno"> 132</span> N2, W2, val2, wt2) == 0);</div>
<div class="line"><span class="lineno"> 133</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;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 133</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 134</span> &lt;&lt; <a class="code hl_function" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><span class="lineno"> 135</span> N2, W2, val2, wt2)</div>
<div class="line"><span class="lineno"> 136</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 136</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 137</span> </div>
<div class="line"><span class="lineno"> 138</span> <span class="comment">// Test Case 3</span></div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> N3 = 3; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 140</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> wt3 = {2, 4, 6}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 141</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> val3 = {5, 11, 13}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 142</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W3 = 27; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 139</span> std::uint16_t N3 = 3; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 140</span> std::vector&lt;std::uint16_t&gt; wt3 = {2, 4, 6}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 141</span> std::vector&lt;std::uint16_t&gt; val3 = {5, 11, 13}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 142</span> std::uint16_t W3 = 27; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 143</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><span class="lineno"> 144</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><span class="lineno"> 145</span> N3, W3, val3, wt3) == 27);</div>
<div class="line"><span class="lineno"> 146</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;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 146</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><span class="lineno"> 147</span> &lt;&lt; <a class="code hl_function" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><span class="lineno"> 148</span> N3, W3, val3, wt3)</div>
<div class="line"><span class="lineno"> 149</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 149</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 150</span> </div>
<div class="line"><span class="lineno"> 151</span> <span class="comment">// Test Case 4</span></div>
<div class="line"><span class="lineno"> 152</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> N4 = 0; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 153</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> wt4 = {}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 154</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::uint16_t&gt;</a> val4 = {}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 155</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> W4 = 10; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 152</span> std::uint16_t N4 = 0; <span class="comment">// Number of items</span></div>
<div class="line"><span class="lineno"> 153</span> std::vector&lt;std::uint16_t&gt; wt4 = {}; <span class="comment">// Weights of the items</span></div>
<div class="line"><span class="lineno"> 154</span> std::vector&lt;std::uint16_t&gt; val4 = {}; <span class="comment">// Values of the items</span></div>
<div class="line"><span class="lineno"> 155</span> std::uint16_t W4 = 10; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><span class="lineno"> 156</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><span class="lineno"> 157</span> N4, W4, val4, wt4) == 0);</div>
<div class="line"><span class="lineno"> 158</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;Maximum Knapsack value for empty arrays: &quot;</span></div>
<div class="line"><span class="lineno"> 158</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value for empty arrays: &quot;</span></div>
<div class="line"><span class="lineno"> 159</span> &lt;&lt; <a class="code hl_function" href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><span class="lineno"> 160</span> N4, W4, val4, wt4)</div>
<div class="line"><span class="lineno"> 161</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 161</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 162</span> </div>
<div class="line"><span class="lineno"> 163</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 passed!&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 163</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All test cases passed!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 164</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="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="ainteger_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></div></div>
<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_a1bcff7f76de48fa7f629480f8f18b5ef"><div class="ttname"><a href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a></div><div class="ttdeci">std::uint16_t unboundedKnapsack(std::uint16_t N, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt)</div><div class="ttdoc">Wrapper function to initiate the unbounded knapsack calculation.</div><div class="ttdef"><b>Definition</b> unbounded_0_1_knapsack.cpp:93</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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<div class="ttc" id="aunbounded__0__1__knapsack_8cpp_html_a1bcff7f76de48fa7f629480f8f18b5ef"><div class="ttname"><a href="#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a></div><div class="ttdeci">std::uint16_t unboundedKnapsack(std::uint16_t N, std::uint16_t W, const std::vector&lt; std::uint16_t &gt; &amp;val, const std::vector&lt; std::uint16_t &gt; &amp;wt)</div><div class="ttdoc">Wrapper function to initiate the unbounded knapsack calculation.</div><div class="ttdef"><b>Definition</b> <a href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00093">unbounded_0_1_knapsack.cpp:93</a></div></div>
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@@ -378,24 +385,24 @@ Here is the call graph for this function:</div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> dynamic_programming::unbounded_knapsack::unboundedKnapsack </td>
<td class="memname">std::uint16_t dynamic_programming::unbounded_knapsack::unboundedKnapsack </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></td> <td class="paramname"><span class="paramname"><em>N</em></span>, </td>
<td class="paramtype">std::uint16_t</td> <td class="paramname"><span class="paramname"><em>N</em></span>, </td>
</tr>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a></td> <td class="paramname"><span class="paramname"><em>W</em></span>, </td>
<td class="paramtype">std::uint16_t</td> <td class="paramname"><span class="paramname"><em>W</em></span>, </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>val</em></span>, </td>
<td class="paramtype">const std::vector&lt; std::uint16_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>val</em></span>, </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint16_t</a> &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>wt</em></span>&#160;)</td>
<td class="paramtype">const std::vector&lt; std::uint16_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>wt</em></span>&#160;)</td>
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<dl class="section return"><dt>Returns</dt><dd>The maximum value that can be obtained for the given capacity. </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html#l00093">93</a> of file <a class="el" href="../../d9/dec/unbounded__0__1__knapsack_8cpp_source.html">unbounded_0_1_knapsack.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 95</span> {</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">if</span> (N == 0)</div>
<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> 0; <span class="comment">// Expect 0 since no items</span></div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(</div>
<div class="line"><span class="lineno"> 99</span> N, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(W + 1, -1)); <span class="comment">// Initialize memoization table</span></div>
<div class="line"><span class="lineno"> 98</span> std::vector&lt;std::vector&lt;int&gt;&gt; <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(</div>
<div class="line"><span class="lineno"> 99</span> N, std::vector&lt;int&gt;(W + 1, -1)); <span class="comment">// Initialize memoization table</span></div>
<div class="line"><span class="lineno"> 100</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#afe447a5979582174908695952c8a079c">KnapSackFilling</a>(N - 1, W, val, wt, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>); <span class="comment">// Start the calculation</span></div>
<div class="line"><span class="lineno"> 101</span>}</div>
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