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<title>TheAlgorithms/C++: backtracking/subset_sum.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,12 +124,13 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
<div class="headertitle"><div class="title">subset_sum.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d2/d5a/subset__sum_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="../../d2/d5a/subset__sum_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="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dc/d3a/namespacesubset__sum.html">subset_sum</a> {</div>
<div class="foldopen" id="foldopen00034" data-start="{" data-end="}">
@@ -153,13 +154,13 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>} <span class="comment">// namespace subset_sum</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</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="../../d2/d5a/subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 58</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> std::cout &lt;&lt; <span class="stringliteral">&quot;1st test &quot;</span>;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> std::vector&lt;int32_t&gt; array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a>(0, array1) ==</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
@@ -167,7 +168,7 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::cout &lt;&lt; <span class="stringliteral">&quot;2nd test &quot;</span>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> std::vector&lt;int32_t&gt; array2 = {1, 2, 3, 3};</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> assert(<a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a>(6, array2) ==</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
@@ -175,7 +176,7 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> std::cout &lt;&lt; <span class="stringliteral">&quot;3rd test &quot;</span>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> std::vector&lt;int32_t&gt; array3 = {1, 1, 1, 1};</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> assert(<a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a>(1, array3) ==</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
@@ -183,7 +184,7 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// 4th test</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout &lt;&lt; <span class="stringliteral">&quot;4th test &quot;</span>;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::vector&lt;int32_t&gt; array4 = {3, 3, 3, 3};</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> assert(<a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a>(6, array4) ==</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
@@ -191,13 +192,13 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// Test 5</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::cout &lt;&lt; <span class="stringliteral">&quot;5th test &quot;</span>;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> std::vector&lt;int32_t&gt; array5 = {};</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(<a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a>(6, array5) ==</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span>}</div>
</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span></div>
<div class="foldopen" id="foldopen00104" data-start="{" data-end="}">
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="../../d2/d5a/subset__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 104</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
@@ -215,7 +216,7 @@ $(function(){initNavTree('d2/d5a/subset__sum_8cpp_source.html','../../'); initRe
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