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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 subset_sum.cpp:</div>
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<p><a href="../../d2/d5a/subset__sum_8cpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<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="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
@@ -134,7 +153,7 @@ 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:a7cb50d36a59427a33f64a266dac83d99" id="r_a7cb50d36a59427a33f64a266dac83d99"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a> (int32_t sum, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int32_t &gt; &amp;in_arr)</td></tr>
<tr class="memitem:a7cb50d36a59427a33f64a266dac83d99" id="r_a7cb50d36a59427a33f64a266dac83d99"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a> (int32_t sum, const std::vector&lt; int32_t &gt; &amp;in_arr)</td></tr>
<tr class="memdesc:a7cb50d36a59427a33f64a266dac83d99"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements count of subsets. <br /></td></tr>
<tr class="separator:a7cb50d36a59427a33f64a266dac83d99"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
@@ -147,6 +166,8 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem. </p>
<p>We are given an array and a sum value. The algorithm finds all the subsets of that array with sum equal to the given sum and return such subsets count. This approach will have exponential time complexity. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy" target="_blank">Swastika Gupta</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html">subset_sum.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
@@ -165,17 +186,14 @@ Functions</h2></td></tr>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html#l00104">104</a> of file <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html">subset_sum.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 104</span> {</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 107</span>}</div>
<div class="ttc" id="asubset__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> subset_sum.cpp:58</div></div>
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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; int32_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>in_arr</em></span>&#160;)</td>
<td class="paramtype">const std::vector&lt; int32_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>in_arr</em></span>&#160;)</td>
</tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>count of the number of subsets with required sum </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html#l00034">34</a> of file <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html">subset_sum.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.size();</div>
<div class="line"><span class="lineno"> 36</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 39</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
<div class="line"><span class="lineno"> 39</span> int32_t check = 0;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> += (in_arr[j]);</div>
<div class="line"><span class="lineno"> 42</span> check += (in_arr[j]);</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> }</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (check == sum) {</div>
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<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="aword__break_8cpp_html_a272b0f5cdb4e41fd6dee4538b808c06a"><div class="ttname"><a href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">dynamic_programming::word_break::check</a></div><div class="ttdeci">bool check(const std::string &amp;s, const std::unordered_set&lt; std::string &gt; &amp;strSet, int pos, std::vector&lt; int &gt; *dp)</div><div class="ttdoc">Function that checks if the string passed in param can be segmented from position 'pos',...</div><div class="ttdef"><b>Definition</b> word_break.cpp:80</div></div>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html#l00058">58</a> of file <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html">subset_sum.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 60</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 60</span> std::cout &lt;&lt; <span class="stringliteral">&quot;1st test &quot;</span>;</div>
<div class="line"><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"><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><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"><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 65</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;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"> 65</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 68</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 68</span> std::cout &lt;&lt; <span class="stringliteral">&quot;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 69</span> std::vector&lt;int32_t&gt; array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><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"><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 73</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;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"> 73</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 76</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 76</span> std::cout &lt;&lt; <span class="stringliteral">&quot;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 77</span> std::vector&lt;int32_t&gt; array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><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"><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><span class="lineno"> 81</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;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"> 81</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 82</span> </div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 84</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 84</span> std::cout &lt;&lt; <span class="stringliteral">&quot;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> std::vector&lt;int32_t&gt; array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 86</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><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"><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"><span class="lineno"> 89</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;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"> 89</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 92</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 92</span> std::cout &lt;&lt; <span class="stringliteral">&quot;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> std::vector&lt;int32_t&gt; array5 = {};</div>
<div class="line"><span class="lineno"> 94</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><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"><span class="lineno"> 96</span> <span class="comment">// cannot select anything from an empty array</span></div>
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<div class="headertitle"><div class="title">subset_sum.cpp</div></div>
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<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="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="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="}">
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"><a class="line" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99"> 34</a></span>uint64_t <a class="code hl_function" href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">number_of_subsets</a>(int32_t sum, <span class="keyword">const</span> std::vector&lt;int32_t&gt; &amp;in_arr) {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> int32_t nelement = in_arr.size();</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> uint64_t count_of_subset = 0;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> int32_t check = 0;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> check += (in_arr[j]);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> }</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> count_of_subset++;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
<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> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
</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="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="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>
<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">// 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="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>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<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="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>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<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="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>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<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="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="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>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span>}</div>
</div>
<div class="ttc" id="anamespacebacktracking_html"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html">backtracking</a></div><div class="ttdoc">for vector container</div></div>
<div class="ttc" id="anamespacesubset__sum_html"><div class="ttname"><a href="../../dc/d3a/namespacesubset__sum.html">subset_sum</a></div><div class="ttdoc">Functions for [Sub-set sum problem] (https://en.wikipedia.org/wiki/Subset_sum_problem) algorithm.</div></div>
<div class="ttc" id="asubset__sum_8cpp_html_a7cb50d36a59427a33f64a266dac83d99"><div class="ttname"><a href="../../d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a></div><div class="ttdeci">uint64_t number_of_subsets(int32_t sum, const std::vector&lt; int32_t &gt; &amp;in_arr)</div><div class="ttdoc">The main function implements count of subsets.</div><div class="ttdef"><b>Definition</b> <a href="#l00034">subset_sum.cpp:34</a></div></div>
<div class="ttc" id="asubset__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d2/d5a/subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00058">subset_sum.cpp:58</a></div></div>
<div class="ttc" id="asubset__sum_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d2/d5a/subset__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00104">subset_sum.cpp:104</a></div></div>
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