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Documentation for 5b238724b8
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@@ -108,12 +108,12 @@ $(document).ready(function(){initNavTree('d6/d80/dynamic__programming_2subset__s
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <iostream></code><br />
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<code>#include <vector></code><br />
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<code>#include <unordered_map></code><br />
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<code>#include <vector></code><br />
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</div><div class="textblock"><div class="dynheader">
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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="../../dc/d53/dynamic__programming_2subset__sum_8cpp__incl.svg" width="391" height="124"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dc/d53/dynamic__programming_2subset__sum_8cpp__incl.svg" width="392" height="124"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div>
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</div><table class="memberdecls">
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@@ -161,10 +161,10 @@ 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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<div class="fragment"><div class="line"><span class="lineno"> 122</span> {</div>
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<div class="line"><span class="lineno"> 123</span> <a class="code hl_function" href="../../d0/dfe/backtracking_2subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the test</span></div>
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<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 125</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 120</span> {</div>
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<div class="line"><span class="lineno"> 121</span> <a class="code hl_function" href="../../d0/dfe/backtracking_2subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the test</span></div>
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<div class="line"><span class="lineno"> 122</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 123</span>}</div>
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<div class="ttc" id="abacktracking_2subset__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d0/dfe/backtracking_2subset__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> subset_sum.cpp:57</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -208,11 +208,11 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true/false based on if the target sum subset exists or not. </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
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<div class="line"><span class="lineno"> 73</span> <span class="keywordtype">size_t</span> n = 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"> 74</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::unordered_map<int, bool></a>> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(n);</div>
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<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum, &<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>);</div>
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<div class="line"><span class="lineno"> 76</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 70</span> {</div>
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<div class="line"><span class="lineno"> 71</span> <span class="keywordtype">size_t</span> n = 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"> 72</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::unordered_map<int, bool></a>> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(n);</div>
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<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum, &<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>);</div>
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<div class="line"><span class="lineno"> 74</span>}</div>
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<div class="ttc" id="adynamic__programming_2subset__sum_8cpp_html_a280fcfb2f6fe49a31c4da572e7032607"><div class="ttname"><a href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">dynamic_programming::subset_sum::subset_sum_recursion</a></div><div class="ttdeci">bool subset_sum_recursion(const std::vector< int > &arr, int targetSum, std::vector< std::unordered_map< int, bool > > *dp, int index=0)</div><div class="ttdef"><b>Definition:</b> subset_sum.cpp:43</div></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> partition_problem.cpp:39</div></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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@@ -272,24 +272,24 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true/false based on if the target sum subset exists or not. </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 47</span> {</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">if</span>(targetSum == 0) { <span class="comment">// Found a valid subset with required sum.</span></div>
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<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
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<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">if</span> (targetSum == 0) { <span class="comment">// Found a valid subset with required sum.</span></div>
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<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</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">if</span> (index == arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) { <span class="comment">// End of array</span></div>
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<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 51</span> }</div>
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<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">if</span>(index == arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()) { <span class="comment">// End of array</span></div>
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<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 54</span> }</div>
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<div class="line"><span class="lineno"> 55</span> </div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> ((*<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>)[index].count(targetSum)) { <span class="comment">// Answer already present in map</span></div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> (*<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>)[index][targetSum];</div>
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<div class="line"><span class="lineno"> 58</span> }</div>
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<div class="line"><span class="lineno"> 59</span> </div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordtype">bool</span> ans = <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum - arr[index], <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>, index + 1) </div>
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<div class="line"><span class="lineno"> 61</span> || <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>, index + 1);</div>
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<div class="line"><span class="lineno"> 62</span> (*dp)[index][targetSum] = ans; <span class="comment">// Save ans in dp map.</span></div>
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<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">return</span> ans;</div>
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<div class="line"><span class="lineno"> 64</span>}</div>
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<div class="line"><span class="lineno"> 52</span> </div>
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<div class="line"><span class="lineno"> 53</span> <span class="keywordflow">if</span> ((*<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>)[index].count(targetSum)) { <span class="comment">// Answer already present in map</span></div>
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<div class="line"><span class="lineno"> 54</span> <span class="keywordflow">return</span> (*<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>)[index][targetSum];</div>
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<div class="line"><span class="lineno"> 55</span> }</div>
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<div class="line"><span class="lineno"> 56</span> </div>
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<div class="line"><span class="lineno"> 57</span> <span class="keywordtype">bool</span> ans =</div>
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<div class="line"><span class="lineno"> 58</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum - arr[index], <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>, index + 1) ||</div>
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<div class="line"><span class="lineno"> 59</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#a280fcfb2f6fe49a31c4da572e7032607">subset_sum_recursion</a>(arr, targetSum, <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>, index + 1);</div>
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<div class="line"><span class="lineno"> 60</span> (*dp)[index][targetSum] = ans; <span class="comment">// Save ans in dp map.</span></div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">return</span> ans;</div>
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<div class="line"><span class="lineno"> 62</span>}</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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@@ -324,41 +324,41 @@ Here is the call graph for this function:</div>
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<p>Test Function. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
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<div class="line"><span class="lineno"> 85</span> <span class="comment">// custom input vector</span></div>
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<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> custom_input_arr(3);</div>
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<div class="line"><span class="lineno"> 87</span> custom_input_arr[0] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> {1, -10, 2, 31, -6};</div>
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<div class="line"><span class="lineno"> 88</span> custom_input_arr[1] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> {2, 3, 4};</div>
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<div class="line"><span class="lineno"> 89</span> custom_input_arr[2] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> {0, 1, 0, 1, 0};</div>
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<div class="line"><span class="lineno"> 90</span> </div>
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<div class="line"><span class="lineno"> 91</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> custom_input_target_sum(3);</div>
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<div class="line"><span class="lineno"> 92</span> custom_input_target_sum[0] = -14;</div>
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<div class="line"><span class="lineno"> 93</span> custom_input_target_sum[1] = 10;</div>
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<div class="line"><span class="lineno"> 94</span> custom_input_target_sum[2] = 2;</div>
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<div class="line"><span class="lineno"> 95</span> </div>
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<div class="line"><span class="lineno"> 96</span> <span class="comment">// calculated output vector by pal_part Function</span></div>
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<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> calculated_output(3);</div>
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<div class="line"><span class="lineno"> 98</span> </div>
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<div class="line"><span class="lineno"> 99</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 3; i++) {</div>
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<div class="line"><span class="lineno"> 100</span> calculated_output[i] =</div>
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<div class="line"><span class="lineno"> 101</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#ac94e6c0dee11278ac0a5491f1b9a4a50">dynamic_programming::subset_sum::subset_sum_problem</a>(</div>
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<div class="line"><span class="lineno"> 102</span> custom_input_arr[i], custom_input_target_sum[i]);</div>
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<div class="line"><span class="lineno"> 103</span> }</div>
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<div class="line"><span class="lineno"> 104</span> </div>
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<div class="line"><span class="lineno"> 105</span> <span class="comment">// expected output vector</span></div>
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<div class="line"><span class="lineno"> 106</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a> expected_output{<span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">true</span>};</div>
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<div class="line"><span class="lineno"> 107</span> </div>
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<div class="line"><span class="lineno"> 108</span> <span class="comment">// Testing implementation via assert function</span></div>
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<div class="line"><span class="lineno"> 109</span> <span class="comment">// It will throw error if any of the expected test fails</span></div>
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<div class="line"><span class="lineno"> 110</span> <span class="comment">// Else it will give nothing</span></div>
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<div class="line"><span class="lineno"> 111</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 3; i++) {</div>
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<div class="line"><span class="lineno"> 112</span> assert(expected_output[i] == calculated_output[i]);</div>
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<div class="line"><span class="lineno"> 113</span> }</div>
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<div class="line"><span class="lineno"> 114</span> </div>
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<div class="line"><span class="lineno"> 115</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">"All tests passed successfully!\n"</span>;</div>
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<div class="line"><span class="lineno"> 116</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
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<div class="line"><span class="lineno"> 83</span> <span class="comment">// custom input vector</span></div>
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<div class="line"><span class="lineno"> 84</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> custom_input_arr(3);</div>
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<div class="line"><span class="lineno"> 85</span> custom_input_arr[0] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a>{1, -10, 2, 31, -6};</div>
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<div class="line"><span class="lineno"> 86</span> custom_input_arr[1] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a>{2, 3, 4};</div>
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<div class="line"><span class="lineno"> 87</span> custom_input_arr[2] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a>{0, 1, 0, 1, 0};</div>
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<div class="line"><span class="lineno"> 88</span> </div>
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<div class="line"><span class="lineno"> 89</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> custom_input_target_sum(3);</div>
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<div class="line"><span class="lineno"> 90</span> custom_input_target_sum[0] = -14;</div>
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<div class="line"><span class="lineno"> 91</span> custom_input_target_sum[1] = 10;</div>
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<div class="line"><span class="lineno"> 92</span> custom_input_target_sum[2] = 2;</div>
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<div class="line"><span class="lineno"> 93</span> </div>
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<div class="line"><span class="lineno"> 94</span> <span class="comment">// calculated output vector by pal_part Function</span></div>
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<div class="line"><span class="lineno"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> calculated_output(3);</div>
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<div class="line"><span class="lineno"> 96</span> </div>
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<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 3; i++) {</div>
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<div class="line"><span class="lineno"> 98</span> calculated_output[i] =</div>
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<div class="line"><span class="lineno"> 99</span> <a class="code hl_function" href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#ac94e6c0dee11278ac0a5491f1b9a4a50">dynamic_programming::subset_sum::subset_sum_problem</a>(</div>
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<div class="line"><span class="lineno"> 100</span> custom_input_arr[i], custom_input_target_sum[i]);</div>
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<div class="line"><span class="lineno"> 101</span> }</div>
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<div class="line"><span class="lineno"> 102</span> </div>
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<div class="line"><span class="lineno"> 103</span> <span class="comment">// expected output vector</span></div>
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<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<bool></a> expected_output{<span class="keyword">true</span>, <span class="keyword">false</span>, <span class="keyword">true</span>};</div>
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<div class="line"><span class="lineno"> 105</span> </div>
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<div class="line"><span class="lineno"> 106</span> <span class="comment">// Testing implementation via assert function</span></div>
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<div class="line"><span class="lineno"> 107</span> <span class="comment">// It will throw error if any of the expected test fails</span></div>
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<div class="line"><span class="lineno"> 108</span> <span class="comment">// Else it will give nothing</span></div>
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<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 3; i++) {</div>
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<div class="line"><span class="lineno"> 110</span> assert(expected_output[i] == calculated_output[i]);</div>
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<div class="line"><span class="lineno"> 111</span> }</div>
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<div class="line"><span class="lineno"> 112</span> </div>
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<div class="line"><span class="lineno"> 113</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">"All tests passed successfully!\n"</span>;</div>
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<div class="line"><span class="lineno"> 114</span>}</div>
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<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>
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<div class="ttc" id="adynamic__programming_2subset__sum_8cpp_html_ac94e6c0dee11278ac0a5491f1b9a4a50"><div class="ttname"><a href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#ac94e6c0dee11278ac0a5491f1b9a4a50">dynamic_programming::subset_sum::subset_sum_problem</a></div><div class="ttdeci">bool subset_sum_problem(const std::vector< int > &arr, const int targetSum)</div><div class="ttdef"><b>Definition:</b> subset_sum.cpp:72</div></div>
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<div class="ttc" id="adynamic__programming_2subset__sum_8cpp_html_ac94e6c0dee11278ac0a5491f1b9a4a50"><div class="ttname"><a href="../../d6/d80/dynamic__programming_2subset__sum_8cpp.html#ac94e6c0dee11278ac0a5491f1b9a4a50">dynamic_programming::subset_sum::subset_sum_problem</a></div><div class="ttdeci">bool subset_sum_problem(const std::vector< int > &arr, const int targetSum)</div><div class="ttdef"><b>Definition:</b> subset_sum.cpp:70</div></div>
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</div><!-- fragment -->
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</div>
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</div>
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