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@@ -3,7 +3,7 @@
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<title>Algorithms_in_C++: dsu Class Reference</title>
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@@ -30,8 +30,8 @@ MathJax.Hub.Config({
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<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
@@ -41,7 +41,7 @@ MathJax.Hub.Config({
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var searchBox = new SearchBox("searchBox", "../../search",'Search','.html');
@@ -100,6 +100,12 @@ $(document).ready(function(){initNavTree('dd/d1f/classdsu.html','../../'); initR
<p>Disjoint sets union data structure, class based representation.
<a href="../../dd/d1f/classdsu.html#details">More...</a></p>
<div class="dynheader">
Collaboration diagram for dsu:</div>
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<center><span class="legend">[<a target="top" href="../../graph_legend.html">legend</a>]</span></center></div>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
@@ -209,33 +215,40 @@ Private Attributes</h2></td></tr>
<p >initially, all of them are their own parents</p>
<p >initially all have depth are equals to zero</p>
<p >initially set size will be equals to one</p>
<div class="fragment"><div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>.assign(n, 0);<span class="comment"></span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"> /// initially, all of them are their own parents</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = i;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }<span class="comment"></span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment"> /// initially all have depth are equals to zero</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>.assign(n, 0);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>.assign(n, 0);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>.assign(n, 0);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[i] = 0;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[i] = i;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[i] = i;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>.assign(n, 0);<span class="comment"></span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment"> /// initially set size will be equals to one</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[i] = 1;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);<span class="comment"></span></div>
<div class="line"><span class="lineno"> 47</span><span class="comment"> /// initially, all of them are their own parents</span></div>
<div class="line"><span class="lineno"> 48</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = i;</div>
<div class="line"><span class="lineno"> 50</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 51</span><span class="comment"> /// initially all have depth are equals to zero</span></div>
<div class="line"><span class="lineno"> 52</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);</div>
<div class="line"><span class="lineno"> 54</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 56</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[i] = 0;</div>
<div class="line"><span class="lineno"> 57</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[i] = i;</div>
<div class="line"><span class="lineno"> 58</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[i] = i;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);<span class="comment"></span></div>
<div class="line"><span class="lineno"> 61</span><span class="comment"> /// initially set size will be equals to one</span></div>
<div class="line"><span class="lineno"> 62</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 63</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[i] = 1;</div>
<div class="line"><span class="lineno"> 64</span> }</div>
<div class="line"><span class="lineno"> 65</span> }</div>
<div class="ttc" id="aassign_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/assign.html">std::vector::assign</a></div><div class="ttdeci">T assign(T... args)</div></div>
<div class="ttc" id="aclassdsu_html_a1d77aad7fc39fe7140d834cd347e5c63"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">dsu::minElement</a></div><div class="ttdeci">vector&lt; uint64_t &gt; minElement</div><div class="ttdoc">minimum of each set to which i belongs to</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:39</div></div>
<div class="ttc" id="aclassdsu_html_a1ef0b0462a0dda63514f641cbb7dd8cb"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">dsu::p</a></div><div class="ttdeci">vector&lt; uint64_t &gt; p</div><div class="ttdoc">keeps track of the parent of ith element</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:35</div></div>
<div class="ttc" id="aclassdsu_html_a4ade6f16c418fc98b54452f7b0252a53"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">dsu::maxElement</a></div><div class="ttdeci">vector&lt; uint64_t &gt; maxElement</div><div class="ttdoc">maximum of each set to which i belongs to</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:38</div></div>
<div class="ttc" id="aclassdsu_html_a4bf54d33fba178998dbbe4c57f2e9429"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">dsu::depth</a></div><div class="ttdeci">vector&lt; uint64_t &gt; depth</div><div class="ttdoc">tracks the depth(rank) of i in the tree</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:36</div></div>
<div class="ttc" id="aclassdsu_html_ac0dc3e17e49fe19b159b4ea4096d7b55"><div class="ttname"><a href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">dsu::setSize</a></div><div class="ttdeci">vector&lt; uint64_t &gt; setSize</div><div class="ttdoc">size of each chunk(set)</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:37</div></div>
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Here is the call graph for this function:</div>
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<a id="a126e3002a464e53cd54b07ba56482a72" name="a126e3002a464e53cd54b07ba56482a72"></a>
@@ -270,18 +283,24 @@ Private Attributes</h2></td></tr>
</dd>
</dl>
<p >initially all of them are their own parents</p>
<div class="fragment"><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> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>.assign(n, 0);<span class="comment"></span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment"> /// initially all of them are their own parents</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>.assign(n, 0);</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>.assign(n, 0);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = i;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[i] = 0;</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[i] = 1;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
</div><!-- fragment -->
<div class="fragment"><div class="line"><span class="lineno"> 44</span> {</div>
<div class="line"><span class="lineno"> 45</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);<span class="comment"></span></div>
<div class="line"><span class="lineno"> 46</span><span class="comment"> /// initially all of them are their own parents</span></div>
<div class="line"><span class="lineno"> 47</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);</div>
<div class="line"><span class="lineno"> 48</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/assign.html">assign</a>(n, 0);</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 50</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = i;</div>
<div class="line"><span class="lineno"> 51</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[i] = 0;</div>
<div class="line"><span class="lineno"> 52</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[i] = 1;</div>
<div class="line"><span class="lineno"> 53</span> }</div>
<div class="line"><span class="lineno"> 54</span> }</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
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<h2 class="groupheader">Member Function Documentation</h2>
@@ -318,13 +337,13 @@ Private Attributes</h2></td></tr>
</dl>
<dl class="section return"><dt>Returns</dt><dd>representative of the set to which i belongs to. </dd></dl>
<p >using path compression</p>
<div class="fragment"><div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> {<span class="comment"></span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment"> /// using path compression</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] == i) {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span> i;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i]));</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 73</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 74</span><span class="comment"> /// using path compression</span></div>
<div class="line"><span class="lineno"> 75</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] == i) {</div>
<div class="line"><span class="lineno"> 76</span> <span class="keywordflow">return</span> i;</div>
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i]));</div>
<div class="line"><span class="lineno"> 79</span> }</div>
<div class="ttc" id="aclassdsu_html_a16851f78fe390fc1430905c83d6a2f1c"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">dsu::findSet</a></div><div class="ttdeci">uint64_t findSet(uint64_t i)</div><div class="ttdoc">Method to find the representative of the set to which i belongs to, T(n) = O(1)</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:73</div></div>
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@@ -368,13 +387,13 @@ Here is the call graph for this function:</div>
</dl>
<dl class="section return"><dt>Returns</dt><dd>representative of the set to which i belongs to </dd></dl>
<p >using union-rank</p>
<div class="fragment"><div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> {<span class="comment"></span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment"> /// using union-rank</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment"></span> <span class="keywordflow">while</span> (i != <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i]) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> i = <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i];</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> i;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 61</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 62</span><span class="comment"> /// using union-rank</span></div>
<div class="line"><span class="lineno"> 63</span><span class="comment"></span> <span class="keywordflow">while</span> (i != <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i]) {</div>
<div class="line"><span class="lineno"> 64</span> i = <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i];</div>
<div class="line"><span class="lineno"> 65</span> }</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> i;</div>
<div class="line"><span class="lineno"> 67</span> }</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector&lt;uint64_t&gt;</a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#ac713a5b496d0405c82e2808a85e58415">get_min</a>(i));</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#a696141b8b092466767f4bfe1c5e46cde">get_max</a>(i));</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#a1c24228b0f2f49220133fb8c3566a55c">size</a>(i));</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 135</span> {</div>
<div class="line"><span class="lineno"> 136</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector&lt;uint64_t&gt;</a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#ac713a5b496d0405c82e2808a85e58415">get_min</a>(i));</div>
<div class="line"><span class="lineno"> 138</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#a696141b8b092466767f4bfe1c5e46cde">get_max</a>(i));</div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(<a class="code hl_function" href="../../dd/d1f/classdsu.html#a1c24228b0f2f49220133fb8c3566a55c">size</a>(i));</div>
<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><span class="lineno"> 141</span> }</div>
<div class="ttc" id="aclassdsu_html_a1c24228b0f2f49220133fb8c3566a55c"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a1c24228b0f2f49220133fb8c3566a55c">dsu::size</a></div><div class="ttdeci">uint64_t size(uint64_t i)</div><div class="ttdoc">A utility function that returns the size of the set to which i belongs to.</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:148</div></div>
<div class="ttc" id="aclassdsu_html_a696141b8b092466767f4bfe1c5e46cde"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a696141b8b092466767f4bfe1c5e46cde">dsu::get_max</a></div><div class="ttdeci">uint64_t get_max(uint64_t i)</div><div class="ttdoc">A utility function that returns the max element of the set to which i belongs to.</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:155</div></div>
<div class="ttc" id="aclassdsu_html_ac713a5b496d0405c82e2808a85e58415"><div class="ttname"><a href="../../dd/d1f/classdsu.html#ac713a5b496d0405c82e2808a85e58415">dsu::get_min</a></div><div class="ttdeci">uint64_t get_min(uint64_t i)</div><div class="ttdoc">A utility function that returns the min element of the set to which i belongs to.</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:162</div></div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>maximum of the set to which i belongs to </dd></dl>
<div class="fragment"><div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 155</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>minimum of the set to which i belongs to </dd></dl>
<div class="fragment"><div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 162</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector&lt;uint64_t&gt;</a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">while</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] != i) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(i);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> i = <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i];</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(i);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 119</span> {</div>
<div class="line"><span class="lineno"> 120</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">vector&lt;uint64_t&gt;</a> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">while</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i] != i) {</div>
<div class="line"><span class="lineno"> 122</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(i);</div>
<div class="line"><span class="lineno"> 123</span> i = <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[i];</div>
<div class="line"><span class="lineno"> 124</span> }</div>
<div class="line"><span class="lineno"> 125</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>.push_back(i);</div>
<div class="line"><span class="lineno"> 126</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><span class="lineno"> 127</span> }</div>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if element <code>i</code> and <code>j</code> ARE in the same set </dd>
<dd>
<code>false</code> if element <code>i</code> and <code>j</code> are NOT in same set </dd></dl>
<div class="fragment"><div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i) == <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j)) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 123</span> {</div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i) == <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j)) {</div>
<div class="line"><span class="lineno"> 125</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 126</span> }</div>
<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 128</span> }</div>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if element i and j are in same set </dd>
<dd>
<code>false</code> if element i and j are not in same set </dd></dl>
<div class="fragment"><div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> {</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i) == <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j)) {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 107</span> {</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i) == <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j)) {</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 110</span> }</div>
<div class="line"><span class="lineno"> 111</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 112</span> }</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>size of the set to which i belongs to </dd></dl>
<div class="fragment"><div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 148</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[<a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i)]; }</div>
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<p >if same depth, then increase one's depth</p>
<p >total size of the resultant set</p>
<p >changing the maximum elements</p>
<div class="fragment"><div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> {<span class="comment"></span></div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span><span class="comment"> /// check if both belongs to the same set or not</span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a64d25c5986742f7c234ed449b2ff7303">isSame</a>(i, j)) {</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// we find the representative of the i and j</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> uint64_t x = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i);</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> uint64_t y = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j);</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="comment"></span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="comment"> /// always keeping the min as x</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span><span class="comment"> /// shallow tree</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] &gt; <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(x, y);</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }<span class="comment"></span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="comment"> /// making the shallower root&#39;s parent the deeper root</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[x] = y;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span><span class="comment"></span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span><span class="comment"> /// if same depth, then increase one&#39;s depth</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] == <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]++;</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }<span class="comment"></span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="comment"> /// total size of the resultant set</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[y] += <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[x];<span class="comment"></span></div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span><span class="comment"> /// changing the maximum elements</span></div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[y] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[x], <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[y]);</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[y] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[x], <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[y]);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 87</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 88</span><span class="comment"> /// check if both belongs to the same set or not</span></div>
<div class="line"><span class="lineno"> 89</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a64d25c5986742f7c234ed449b2ff7303">isSame</a>(i, j)) {</div>
<div class="line"><span class="lineno"> 90</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 91</span> }</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> <span class="comment">// we find the representative of the i and j</span></div>
<div class="line"><span class="lineno"> 94</span> uint64_t x = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i);</div>
<div class="line"><span class="lineno"> 95</span> uint64_t y = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j);</div>
<div class="line"><span class="lineno"> 96</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 97</span><span class="comment"> /// always keeping the min as x</span></div>
<div class="line"><span class="lineno"> 98</span><span class="comment"> /// shallow tree</span></div>
<div class="line"><span class="lineno"> 99</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] &gt; <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(x, y);</div>
<div class="line"><span class="lineno"> 101</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 102</span><span class="comment"> /// making the shallower root&#39;s parent the deeper root</span></div>
<div class="line"><span class="lineno"> 103</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[x] = y;</div>
<div class="line"><span class="lineno"> 104</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 105</span><span class="comment"> /// if same depth, then increase one&#39;s depth</span></div>
<div class="line"><span class="lineno"> 106</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] == <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]++;</div>
<div class="line"><span class="lineno"> 108</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 109</span><span class="comment"> /// total size of the resultant set</span></div>
<div class="line"><span class="lineno"> 110</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[y] += <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[x];<span class="comment"></span></div>
<div class="line"><span class="lineno"> 111</span><span class="comment"> /// changing the maximum elements</span></div>
<div class="line"><span class="lineno"> 112</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[y] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[x], <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4ade6f16c418fc98b54452f7b0252a53">maxElement</a>[y]);</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[y] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[x], <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1d77aad7fc39fe7140d834cd347e5c63">minElement</a>[y]);</div>
<div class="line"><span class="lineno"> 114</span> }</div>
<div class="ttc" id="aclassdsu_html_a64d25c5986742f7c234ed449b2ff7303"><div class="ttname"><a href="../../dd/d1f/classdsu.html#a64d25c5986742f7c234ed449b2ff7303">dsu::isSame</a></div><div class="ttdeci">bool isSame(uint64_t i, uint64_t j)</div><div class="ttdoc">A utility function which check whether i and j belongs to same set or not.</div><div class="ttdef"><b>Definition:</b> dsu_path_compression.cpp:123</div></div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
@@ -866,30 +885,30 @@ Here is the call graph for this function:</div>
<p >making the shallower tree, root parent of the deeper root</p>
<p >if same depth, then increase one's depth</p>
<p >total size of the resultant set</p>
<div class="fragment"><div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> {<span class="comment"></span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment"> /// checks if both belongs to same set or not</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a64d25c5986742f7c234ed449b2ff7303">isSame</a>(i, j)) {</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> }<span class="comment"></span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment"> /// we find representative of the i and j</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="comment"></span> uint64_t x = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> uint64_t y = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment"></span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="comment"> /// always keeping the min as x</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="comment"> /// in order to create a shallow tree</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] &gt; <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(x, y);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }<span class="comment"></span></div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment"> /// making the shallower tree, root parent of the deeper root</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[x] = y;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment"></span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment"> /// if same depth, then increase one&#39;s depth</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] == <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]++;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }<span class="comment"></span></div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="comment"> /// total size of the resultant set</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[y] += <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[x];</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 75</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 76</span><span class="comment"> /// checks if both belongs to same set or not</span></div>
<div class="line"><span class="lineno"> 77</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../dd/d1f/classdsu.html#a64d25c5986742f7c234ed449b2ff7303">isSame</a>(i, j)) {</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 79</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 80</span><span class="comment"> /// we find representative of the i and j</span></div>
<div class="line"><span class="lineno"> 81</span><span class="comment"></span> uint64_t x = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(i);</div>
<div class="line"><span class="lineno"> 82</span> uint64_t y = <a class="code hl_function" href="../../dd/d1f/classdsu.html#a16851f78fe390fc1430905c83d6a2f1c">findSet</a>(j);</div>
<div class="line"><span class="lineno"> 83</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 84</span><span class="comment"> /// always keeping the min as x</span></div>
<div class="line"><span class="lineno"> 85</span><span class="comment"> /// in order to create a shallow tree</span></div>
<div class="line"><span class="lineno"> 86</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] &gt; <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(x, y);</div>
<div class="line"><span class="lineno"> 88</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 89</span><span class="comment"> /// making the shallower tree, root parent of the deeper root</span></div>
<div class="line"><span class="lineno"> 90</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a1ef0b0462a0dda63514f641cbb7dd8cb">p</a>[x] = y;</div>
<div class="line"><span class="lineno"> 91</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 92</span><span class="comment"> /// if same depth, then increase one&#39;s depth</span></div>
<div class="line"><span class="lineno"> 93</span><span class="comment"></span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[x] == <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]) {</div>
<div class="line"><span class="lineno"> 94</span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#a4bf54d33fba178998dbbe4c57f2e9429">depth</a>[y]++;</div>
<div class="line"><span class="lineno"> 95</span> }<span class="comment"></span></div>
<div class="line"><span class="lineno"> 96</span><span class="comment"> /// total size of the resultant set</span></div>
<div class="line"><span class="lineno"> 97</span><span class="comment"></span> <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[y] += <a class="code hl_variable" href="../../dd/d1f/classdsu.html#ac0dc3e17e49fe19b159b4ea4096d7b55">setSize</a>[x];</div>
<div class="line"><span class="lineno"> 98</span> }</div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -909,7 +928,7 @@ Here is the call graph for this function:</div>
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