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<div class="headertitle"><div class="title">connected_components_with_dsu.cpp</div></div>
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<a href="../../d8/d99/connected__components__with__dsu_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="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;set&gt;</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../de/db4/namespacedisjoint__union.html">disjoint_union</a> {</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span>uint32_t number_of_nodes = 0; <span class="comment">// denotes number of nodes</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>std::vector&lt;int64_t&gt; parent{}; <span class="comment">// parent of each node</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>std::vector&lt;uint32_t&gt; connected_set_size{}; <span class="comment">// size of each set</span></div>
<div class="foldopen" id="foldopen00043" data-start="{" data-end="}">
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ae91ed94113c56191b75fe45f688d6e62"> 43</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ae91ed94113c56191b75fe45f688d6e62">make_set</a>() {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">for</span> (uint32_t i = 1; i &lt;= number_of_nodes; i++) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> parent[i] = i;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> connected_set_size[i] = 1;</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>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span></div>
<div class="foldopen" id="foldopen00054" data-start="{" data-end="}">
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e"> 54</a></span>int64_t <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e">find_set</a>(int64_t val) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">while</span> (parent[val] != val) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> parent[val] = parent[parent[val]];</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> val = parent[val];</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> val;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span></div>
<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a67cb7472f310a798f555fe45cdf50145"> 67</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a67cb7472f310a798f555fe45cdf50145">union_sets</a>(int64_t node1, int64_t node2) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> node1 = <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e">find_set</a>(node1); <span class="comment">// find the parent of node1</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> node2 = <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e">find_set</a>(node2); <span class="comment">// find the parent of node2</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// If parents of both nodes are not same, combine them</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">if</span> (node1 != node2) {</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">if</span> (connected_set_size[node1] &lt; connected_set_size[node2]) {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::swap(node1, node2); <span class="comment">// swap both components</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> }</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> parent[node2] = node1; <span class="comment">// make node1 as parent of node2.</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> connected_set_size[node1] +=</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> connected_set_size[node2]; <span class="comment">// sum the size of both as they combined</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span>}</div>
</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span></div>
<div class="foldopen" id="foldopen00085" data-start="{" data-end="}">
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ac2d6698b71384a352ec4b81b31b13141"> 85</a></span>uint32_t <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ac2d6698b71384a352ec4b81b31b13141">no_of_connected_components</a>() {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> std::set&lt;int64_t&gt; temp; <span class="comment">// temp set to count number of connected components</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">for</span> (uint32_t i = 1; i &lt;= number_of_nodes; i++) temp.insert(<a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e">find_set</a>(i));</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">return</span> temp.size(); <span class="comment">// return the size of temp set</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>}</div>
</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span>} <span class="comment">// namespace disjoint_union</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span>} <span class="comment">// namespace graph</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span></div>
<div class="foldopen" id="foldopen00097" data-start="{" data-end="}">
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 97</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">namespace </span><a class="code hl_class" href="../../dd/d1f/classdsu.html">dsu</a> = graph::disjoint_union;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> std::cin &gt;&gt; dsu::number_of_nodes;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> dsu::parent.resize(dsu::number_of_nodes + 1);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> dsu::connected_set_size.resize(dsu::number_of_nodes + 1);</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> dsu::make_set();</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> uint32_t edges = 0;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::cin &gt;&gt; edges; <span class="comment">// no of edges in the graph</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">while</span> (edges--) {</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> int64_t node_a = 0, node_b = 0;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> std::cin &gt;&gt; node_a &gt;&gt; node_b;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> dsu::union_sets(node_a, node_b);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> std::cout &lt;&lt; dsu::no_of_connected_components() &lt;&lt; std::endl;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>}</div>
</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span></div>
<div class="foldopen" id="foldopen00117" data-start="{" data-end="}">
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"><a class="line" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 117</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <a class="code hl_function" href="../../d8/d99/connected__components__with__dsu_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Execute the tests</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span>}</div>
</div>
<div class="ttc" id="aclassdsu_html"><div class="ttname"><a href="../../dd/d1f/classdsu.html">dsu</a></div><div class="ttdoc">Disjoint sets union data structure, class based representation.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00034">dsu_path_compression.cpp:34</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_a469384d8a4197a9b24482ce7c321a85e"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_8cpp.html#a469384d8a4197a9b24482ce7c321a85e">graph::disjoint_union::find_set</a></div><div class="ttdeci">int64_t find_set(int64_t val)</div><div class="ttdoc">Find the component where following node belongs to.</div><div class="ttdef"><b>Definition</b> <a href="#l00054">connected_components_with_dsu.cpp:54</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_a67cb7472f310a798f555fe45cdf50145"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_8cpp.html#a67cb7472f310a798f555fe45cdf50145">graph::disjoint_union::union_sets</a></div><div class="ttdeci">void union_sets(int64_t node1, int64_t node2)</div><div class="ttdoc">Merge 2 components to become one.</div><div class="ttdef"><b>Definition</b> <a href="#l00067">connected_components_with_dsu.cpp:67</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_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="#l00097">connected_components_with_dsu.cpp:97</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_ac2d6698b71384a352ec4b81b31b13141"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_8cpp.html#ac2d6698b71384a352ec4b81b31b13141">graph::disjoint_union::no_of_connected_components</a></div><div class="ttdeci">uint32_t no_of_connected_components()</div><div class="ttdoc">Find total no. of connected components.</div><div class="ttdef"><b>Definition</b> <a href="#l00085">connected_components_with_dsu.cpp:85</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_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="#l00117">connected_components_with_dsu.cpp:117</a></div></div>
<div class="ttc" id="aconnected__components__with__dsu_8cpp_html_ae91ed94113c56191b75fe45f688d6e62"><div class="ttname"><a href="../../d8/d99/connected__components__with__dsu_8cpp.html#ae91ed94113c56191b75fe45f688d6e62">graph::disjoint_union::make_set</a></div><div class="ttdeci">void make_set()</div><div class="ttdoc">function the initialize every node as it&#39;s own parent</div><div class="ttdef"><b>Definition</b> <a href="#l00043">connected_components_with_dsu.cpp:43</a></div></div>
<div class="ttc" id="anamespacedisjoint__union_html"><div class="ttname"><a href="../../de/db4/namespacedisjoint__union.html">disjoint_union</a></div><div class="ttdoc">Functions for Disjoint union implementation.</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
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