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2025-05-19 11:38:33 +00:00
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@@ -4,7 +4,7 @@
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@@ -124,16 +124,17 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="headertitle"><div class="title">unbounded_0_1_knapsack.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;cassert&gt;</span> <span class="comment">// For using assert function to validate test cases</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;cstdint&gt;</span> <span class="comment">// For fixed-width integer types like std::uint16_t</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &lt;iostream&gt;</span> <span class="comment">// Standard input-output stream</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include &lt;vector&gt;</span> <span class="comment">// Standard library for using dynamic arrays (vectors)</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a> {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keyword">namespace </span>unbounded_knapsack {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span></div>
<div class="foldopen" id="foldopen00058" data-start="{" data-end="}">
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#afe447a5979582174908695952c8a079c"> 58</a></span>std::uint16_t <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#afe447a5979582174908695952c8a079c">KnapSackFilling</a>(std::uint16_t i, std::uint16_t W,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> std::vector&lt;std::uint16_t&gt;&amp; val,</div>
@@ -161,7 +162,7 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> std::max(take, nottake); <span class="comment">// Store and return the maximum value</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span></div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef"> 93</a></span>std::uint16_t <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">unboundedKnapsack</a>(std::uint16_t N, std::uint16_t W,</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">const</span> std::vector&lt;std::uint16_t&gt;&amp; val,</div>
@@ -177,7 +178,7 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>} <span class="comment">// namespace unbounded_knapsack</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>} <span class="comment">// namespace dynamic_programming</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span></div>
<div class="foldopen" id="foldopen00111" data-start="{" data-end="}">
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 111</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Test Case 1</span></div>
@@ -186,10 +187,10 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00115" name="l00115"></a><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"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> std::uint16_t W1 = 8; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> assert(<a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> N1, W1, val1, wt1) == 48);</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> &lt;&lt; dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> &lt;&lt; <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> N1, W1, val1, wt1)</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
@@ -199,10 +200,10 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00128" name="l00128"></a><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"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> std::uint16_t W2 = 5; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> assert(<a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> N2, W2, val2, wt2) == 0);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> &lt;&lt; dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> &lt;&lt; <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> N2, W2, val2, wt2)</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
@@ -212,10 +213,10 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00141" name="l00141"></a><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"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> std::uint16_t W3 = 27; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// Test the function and assert the expected output</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> assert(<a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> N3, W3, val3, wt3) == 27);</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Maximum Knapsack value &quot;</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> &lt;&lt; dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> &lt;&lt; <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> N3, W3, val3, wt3)</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
@@ -224,17 +225,17 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
<div class="line"><a id="l00153" name="l00153"></a><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"><a id="l00154" name="l00154"></a><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"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> std::uint16_t W4 = 10; <span class="comment">// Maximum capacity of the knapsack</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> assert(dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> assert(<a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> N4, W4, val4, wt4) == 0);</div>
<div class="line"><a id="l00158" name="l00158"></a><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"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> &lt;&lt; dynamic_programming::unbounded_knapsack::unboundedKnapsack(</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> &lt;&lt; <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a1bcff7f76de48fa7f629480f8f18b5ef">dynamic_programming::unbounded_knapsack::unboundedKnapsack</a>(</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> N4, W4, val4, wt4)</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a id="l00163" name="l00163"></a><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"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span>}</div>
</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span></div>
<div class="foldopen" id="foldopen00170" data-start="{" data-end="}">
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"><a class="line" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 170</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <a class="code hl_function" href="../../d9/dec/unbounded__0__1__knapsack_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// Run self test implementation</span></div>
@@ -253,7 +254,7 @@ $(function(){initNavTree('d9/dec/unbounded__0__1__knapsack_8cpp_source.html','..
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