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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<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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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../db/da8/subset__sum_8cpp__incl.svg" width="336" height="126"><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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<p><a href="../../d2/d5a/subset__sum_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
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@@ -134,7 +153,7 @@ Namespaces</h2></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:a7cb50d36a59427a33f64a266dac83d99" id="r_a7cb50d36a59427a33f64a266dac83d99"><td class="memItemLeft" align="right" valign="top">uint64_t </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>< int32_t > &in_arr)</td></tr>
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<tr class="memitem:a7cb50d36a59427a33f64a266dac83d99" id="r_a7cb50d36a59427a33f64a266dac83d99"><td class="memItemLeft" align="right" valign="top">uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a> (int32_t sum, const std::vector< int32_t > &in_arr)</td></tr>
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<tr class="memdesc:a7cb50d36a59427a33f64a266dac83d99"><td class="mdescLeft"> </td><td class="mdescRight">The main function implements count of subsets. <br /></td></tr>
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<tr class="separator:a7cb50d36a59427a33f64a266dac83d99"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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@@ -147,6 +166,8 @@ Functions</h2></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem. </p>
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<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>
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<p class="definition">Definition in file <a class="el" href="../../d2/d5a/subset__sum_8cpp_source.html">subset_sum.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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@@ -165,17 +186,14 @@ Functions</h2></td></tr>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 104</span> {</div>
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<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>
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<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 107</span>}</div>
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<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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Here is the call graph for this function:</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="271" 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="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> <a href="../../d2/d5a/subset__sum_8cpp_source.html#l00058">subset_sum.cpp:58</a></div></div>
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<tr>
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<td class="paramkey"></td>
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<td></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>< int32_t > &</td> <td class="paramname"><span class="paramname"><em>in_arr</em></span> )</td>
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<td class="paramtype">const std::vector< int32_t > &</td> <td class="paramname"><span class="paramname"><em>in_arr</em></span> )</td>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>count of the number of subsets with required sum </dd></dl>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
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<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>
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<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.size();</div>
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<div class="line"><span class="lineno"> 36</span> uint64_t count_of_subset = 0;</div>
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<div class="line"><span class="lineno"> 37</span> </div>
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<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i < (1 << (nelement)); i++) {</div>
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<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>
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<div class="line"><span class="lineno"> 39</span> int32_t check = 0;</div>
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<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j < nelement; j++) {</div>
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<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i & (1 << j)) {</div>
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<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>
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<div class="line"><span class="lineno"> 42</span> check += (in_arr[j]);</div>
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<div class="line"><span class="lineno"> 43</span> }</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<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>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> count_of_subset;</div>
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<div class="line"><span class="lineno"> 50</span>}</div>
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<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>
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||||
<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 &s, const std::unordered_set< std::string > &strSet, int pos, std::vector< int > *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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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.svg" width="350" height="76"><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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<p>Test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<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>
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<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
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<div class="line"><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
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<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> << <span class="stringliteral">"1st test "</span>;</div>
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<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<int32_t></a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
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<div class="line"><span class="lineno"> 60</span> std::cout << <span class="stringliteral">"1st test "</span>;</div>
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<div class="line"><span class="lineno"> 61</span> std::vector<int32_t> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
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<div class="line"><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
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<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>
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<div class="line"><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
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<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> << <span class="stringliteral">"passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 65</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 66</span> </div>
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<div class="line"><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
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<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> << <span class="stringliteral">"2nd test "</span>;</div>
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<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<int32_t></a> array2 = {1, 2, 3, 3};</div>
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<div class="line"><span class="lineno"> 68</span> std::cout << <span class="stringliteral">"2nd test "</span>;</div>
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<div class="line"><span class="lineno"> 69</span> std::vector<int32_t> array2 = {1, 2, 3, 3};</div>
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<div class="line"><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
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<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>
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<div class="line"><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
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<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> << <span class="stringliteral">"passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 73</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 74</span> </div>
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<div class="line"><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
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<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> << <span class="stringliteral">"3rd test "</span>;</div>
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<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<int32_t></a> array3 = {1, 1, 1, 1};</div>
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<div class="line"><span class="lineno"> 76</span> std::cout << <span class="stringliteral">"3rd test "</span>;</div>
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<div class="line"><span class="lineno"> 77</span> std::vector<int32_t> array3 = {1, 1, 1, 1};</div>
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<div class="line"><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
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<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>
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<div class="line"><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
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<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> << <span class="stringliteral">"passed"</span> << <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 << <span class="stringliteral">"passed"</span> << 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> << <span class="stringliteral">"4th test "</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<int32_t></a> array4 = {3, 3, 3, 3};</div>
|
||||
<div class="line"><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"4th test "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 85</span> std::vector<int32_t> 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> << <span class="stringliteral">"passed"</span> << <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 << <span class="stringliteral">"passed"</span> << 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> << <span class="stringliteral">"5th test "</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<int32_t></a> array5 = {};</div>
|
||||
<div class="line"><span class="lineno"> 92</span> std::cout << <span class="stringliteral">"5th test "</span>;</div>
|
||||
<div class="line"><span class="lineno"> 93</span> std::vector<int32_t> 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>
|
||||
<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"passed"</span> << <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"> 97</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 98</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="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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|
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|
||||
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Reference in New Issue
Block a user