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<title>TheAlgorithms/C++: graph::LowestCommonAncestor Class Reference</title>
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@@ -180,7 +180,7 @@ Protected Member Functions</h2></td></tr>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span> </td>
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@@ -224,7 +224,7 @@ Protected Member Functions</h2></td></tr>
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@@ -242,18 +242,18 @@ Protected Member Functions</h2></td></tr>
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<p class="definition">Definition at line <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00164">164</a> of file <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html">lowest_common_ancestor.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 164</span> {</div>
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<div class="line"><span class="lineno"> 165</span> <span class="comment">// Ensure u is the deeper (higher level) of the two vertices</span></div>
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<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">if</span> (tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v] > tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u]) {</div>
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<div class="line"><span class="lineno"> 166</span> <span class="keywordflow">if</span> (tree.level[v] > tree.level[u]) {</div>
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<div class="line"><span class="lineno"> 167</span> std::swap(u, v);</div>
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<div class="line"><span class="lineno"> 168</span> }</div>
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<div class="line"><span class="lineno"> 169</span> </div>
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<div class="line"><span class="lineno"> 170</span> <span class="comment">// "Lift" u to the same level as v.</span></div>
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<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">int</span> level_diff = tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u] - tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v];</div>
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<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">int</span> level_diff = tree.level[u] - tree.level[v];</div>
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<div class="line"><span class="lineno"> 172</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; (1 << i) <= level_diff; ++i) {</div>
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<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">if</span> (level_diff & (1 << i)) {</div>
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<div class="line"><span class="lineno"> 174</span> u = <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[u][i];</div>
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<div class="line"><span class="lineno"> 175</span> }</div>
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<div class="line"><span class="lineno"> 176</span> }</div>
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<div class="line"><span class="lineno"> 177</span> assert(tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[u] == tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">level</a>[v]);</div>
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<div class="line"><span class="lineno"> 177</span> assert(tree.level[u] == tree.level[v]);</div>
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<div class="line"><span class="lineno"> 178</span> </div>
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<div class="line"><span class="lineno"> 179</span> <span class="keywordflow">if</span> (u == v) {</div>
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<div class="line"><span class="lineno"> 180</span> <span class="keywordflow">return</span> u;</div>
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@@ -274,7 +274,6 @@ Protected Member Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 195</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[u][0];</div>
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<div class="line"><span class="lineno"> 196</span> }</div>
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<div class="ttc" id="aclassgraph_1_1_lowest_common_ancestor_html_a46d10f669791e3da9a4809bd8ff8d3ad"><div class="ttname"><a href="#a46d10f669791e3da9a4809bd8ff8d3ad">graph::LowestCommonAncestor::up</a></div><div class="ttdeci">std::vector< std::vector< int > > up</div><div class="ttdoc">for every vertex stores a list of its ancestors by powers of two For each vertex, the first element o...</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00206">lowest_common_ancestor.cpp:206</a></div></div>
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<div class="ttc" id="aclassgraph_1_1_rooted_tree_html_a2ee3ad1161ac2532da30c3e22c265ad3"><div class="ttname"><a href="../../d0/d58/classgraph_1_1_rooted_tree.html#a2ee3ad1161ac2532da30c3e22c265ad3">graph::RootedTree::level</a></div><div class="ttdeci">std::vector< int > level</div><div class="ttdoc">Stores the distance from the root.</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00106">lowest_common_ancestor.cpp:106</a></div></div>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">protected</span></span> </td>
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@@ -304,12 +303,12 @@ Protected Member Functions</h2></td></tr>
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<p class="definition">Definition at line <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00212">212</a> of file <a class="el" href="../../de/dde/lowest__common__ancestor_8cpp_source.html">lowest_common_ancestor.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 212</span> {</div>
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<div class="line"><span class="lineno"> 213</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>.resize(tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>());</div>
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<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex < tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++vertex) {</div>
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<div class="line"><span class="lineno"> 215</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[vertex].push_back(tree.<a class="code hl_variable" href="../../d0/d58/classgraph_1_1_rooted_tree.html#a3831583a91914988897a4cc8748fda43">parent</a>[vertex]);</div>
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<div class="line"><span class="lineno"> 213</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>.resize(tree.number_of_vertices());</div>
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<div class="line"><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {</div>
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<div class="line"><span class="lineno"> 215</span> <a class="code hl_variable" href="#a46d10f669791e3da9a4809bd8ff8d3ad">up</a>[vertex].push_back(tree.parent[vertex]);</div>
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<div class="line"><span class="lineno"> 216</span> }</div>
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<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> level = 0; (1 << level) < tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++level) {</div>
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<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex < tree.<a class="code hl_function" href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">number_of_vertices</a>(); ++vertex) {</div>
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<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> level = 0; (1 << level) < tree.number_of_vertices(); ++level) {</div>
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<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {</div>
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<div class="line"><span class="lineno"> 219</span> <span class="comment">// up[vertex][level + 1] = 2^(level + 1) th ancestor of vertex =</span></div>
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<div class="line"><span class="lineno"> 220</span> <span class="comment">// = 2^level th ancestor of 2^level th ancestor of vertex =</span></div>
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<div class="line"><span class="lineno"> 221</span> <span class="comment">// = 2^level th ancestor of up[vertex][level]</span></div>
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@@ -317,8 +316,6 @@ Protected Member Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 223</span> }</div>
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<div class="line"><span class="lineno"> 224</span> }</div>
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<div class="line"><span class="lineno"> 225</span> }</div>
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<div class="ttc" id="aclassgraph_1_1_graph_html_a8930d1470d132b19e430d1c71f94c904"><div class="ttname"><a href="../../dc/d61/classgraph_1_1_graph.html#a8930d1470d132b19e430d1c71f94c904">graph::Graph::number_of_vertices</a></div><div class="ttdeci">int number_of_vertices() const</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00074">lowest_common_ancestor.cpp:74</a></div></div>
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<div class="ttc" id="aclassgraph_1_1_rooted_tree_html_a3831583a91914988897a4cc8748fda43"><div class="ttname"><a href="../../d0/d58/classgraph_1_1_rooted_tree.html#a3831583a91914988897a4cc8748fda43">graph::RootedTree::parent</a></div><div class="ttdeci">std::vector< int > parent</div><div class="ttdoc">Stores parent of every vertex and for root its own index. The root is technically not its own parent,...</div><div class="ttdef"><b>Definition</b> <a href="../../de/dde/lowest__common__ancestor_8cpp_source.html#l00104">lowest_common_ancestor.cpp:104</a></div></div>
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