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<a href="connected__components_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">//</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">//</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">//</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">// Finds the connected components in an undirected graph:</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// https://en.wikipedia.org/wiki/Connected_component_(graph_theory)</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">//</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// If you have a fixed graph where the node are dense integers, use</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// GetConnectedComponents(): it's very fast and uses little memory.</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment">//</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// If you have a more dynamic scenario where you want to incrementally</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// add nodes or edges and query the connectivity between them, use the</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// [Dense]ConnectedComponentsFinder class, which uses the union-find algorithm</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// aka disjoint sets: https://en.wikipedia.org/wiki/Disjoint-set_data_structure.</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#ifndef UTIL_GRAPH_CONNECTED_COMPONENTS_H_</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor">#define UTIL_GRAPH_CONNECTED_COMPONENTS_H_</span></div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#include <functional></span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">#include <map></span></div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">#include <memory></span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">#include <set></span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor">#include <type_traits></span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor">#include <vector></span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor">#include "absl/container/flat_hash_map.h"</span></div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor">#include "absl/container/flat_hash_set.h"</span></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor">#include "absl/hash/hash.h"</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor">#include "absl/meta/type_traits.h"</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor">#include "<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>"</span></div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor">#include "<a class="code" href="ptr__util_8h.html">ortools/base/ptr_util.h</a>"</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">namespace </span><a class="code" href="namespaceutil.html">util</a> {</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Finds the connected components of the graph, using BFS internally.</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// Works on any *undirected* graph class whose nodes are dense integers and that</span></div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment">// supports the [] operator for adjacency lists: graph[x] must be an integer</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// container listing the nodes that are adjacent to node #x.</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Example: std::vector<std::vector<int>>.</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">//</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// "Undirected" means that for all y in graph[x], x is in graph[y].</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">//</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// Returns the mapping from node to component index. The component indices are</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// deterministic: Component #0 will be the one that has node #0, component #1</span></div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// the one that has the lowest-index node that isn't in component #0, and so on.</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment">//</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// Example on the following 6-node graph: 5--3--0--1 2--4</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// vector<vector<int>> graph = {{1, 3}, {0}, {4}, {0, 5}, {2}, {3}};</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// GetConnectedComponents(graph); // returns [0, 0, 1, 0, 1, 0].</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">template</span> <<span class="keyword">class</span> UndirectedGraph></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span> std::vector<int> <a class="code" href="namespaceutil.html#a366d433bd2afb387ea527c581447dffc">GetConnectedComponents</a>(<span class="keywordtype">int</span> num_nodes,</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> UndirectedGraph& graph);</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span> } <span class="comment">// namespace util</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> </div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment">// NOTE(user): The rest of the functions below should also be in namespace</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// util, but for historical reasons it hasn't been done yet.</span></div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// A connected components finder that only works on dense ints.</span></div><div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="class_dense_connected_components_finder.html"> 81</a></span> <span class="keyword">class </span><a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a> {</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="class_dense_connected_components_finder.html#a4ef11c9c005bbad4089a8f844038d0ab"> 83</a></span>  <a class="code" href="class_dense_connected_components_finder.html#a4ef11c9c005bbad4089a8f844038d0ab">DenseConnectedComponentsFinder</a>() {}</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="comment">// We support copy and move construction.</span></div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="class_dense_connected_components_finder.html#a4ef11c9c005bbad4089a8f844038d0ab">DenseConnectedComponentsFinder</a>(<span class="keyword">const</span> <a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>&) =</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">default</span>;</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>& <a class="code" href="class_dense_connected_components_finder.html#a69798a8b25f99eaf0d2880bf502ca58a">operator=</a>(</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">const</span> <a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>&) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="class_dense_connected_components_finder.html#a4ef11c9c005bbad4089a8f844038d0ab">DenseConnectedComponentsFinder</a>(<a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>&&) = <span class="keywordflow">default</span>;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>& <a class="code" href="class_dense_connected_components_finder.html#a69798a8b25f99eaf0d2880bf502ca58a">operator=</a>(<a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a>&&) =</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">default</span>;</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// The main API is the same as ConnectedComponentsFinder (below): see the</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// homonymous functions there.</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordtype">bool</span> <a class="code" href="class_dense_connected_components_finder.html#a428ab6b7c944afe33bd86a6a1ae7e668">AddEdge</a>(<span class="keywordtype">int</span> node1, <span class="keywordtype">int</span> node2);</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordtype">bool</span> <a class="code" href="class_dense_connected_components_finder.html#a962b54327591b21cc0a9273f78906a8b">Connected</a>(<span class="keywordtype">int</span> node1, <span class="keywordtype">int</span> node2);</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordtype">int</span> <a class="code" href="class_dense_connected_components_finder.html#af783278e17675394e30c3de598b11169">GetSize</a>(<span class="keywordtype">int</span> node);</div><div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31"> 99</a></span>  <span class="keywordtype">int</span> <a class="code" href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">GetNumberOfComponents</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> num_components_; }</div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="class_dense_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f"> 100</a></span>  <span class="keywordtype">int</span> <a class="code" href="class_dense_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f">GetNumberOfNodes</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> parent_.size(); }</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// Gets the current set of root nodes in sorted order. Runs in amortized</span></div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// O(#components) time.</span></div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">const</span> std::vector<int>& <a class="code" href="class_dense_connected_components_finder.html#ae6201f6f09303eabd7f77e238b4f3a44">GetComponentRoots</a>();</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span> </div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// Sets the number of nodes in the graph. The graph can only grow: this</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="comment">// dies if "num_nodes" is lower or equal to any of the values ever given</span></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// to AddEdge(), or lower than a previous value given to SetNumberOfNodes().</span></div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// You need this if there are nodes that don't have any edges.</span></div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordtype">void</span> <a class="code" href="class_dense_connected_components_finder.html#ad8e718920ab9683d39af650d714cffe1">SetNumberOfNodes</a>(<span class="keywordtype">int</span> num_nodes);</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> </div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="comment">// Returns the root of the set for the given node. node must be in</span></div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">// [0;GetNumberOfNodes()-1].</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// Non-const because it does path compression internally.</span></div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordtype">int</span> <a class="code" href="class_dense_connected_components_finder.html#a5484947d25c2901c60d02ea14d0e1a06">FindRoot</a>(<span class="keywordtype">int</span> node);</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// Returns the same as GetConnectedComponents().</span></div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  std::vector<int> <a class="code" href="class_dense_connected_components_finder.html#a74aadb96adc6f37110393d5fbd2279c5">GetComponentIds</a>();</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">private</span>:</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// parent[i] is the id of an ancestor for node i. A node is a root iff</span></div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="comment">// parent[i] == i.</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  std::vector<int> parent_;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// If i is a root, component_size_[i] is the number of elements in the</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// component. If i is not a root, component_size_[i] is meaningless.</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  std::vector<int> component_size_;</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="comment">// rank[i] is the depth of the tree.</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  std::vector<int> rank_;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// Number of connected components.</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keywordtype">int</span> num_components_ = 0;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// The current roots. This is maintained lazily by GetComponentRoots().</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  std::vector<int> roots_;</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="comment">// The number of nodes that existed the last time GetComponentRoots() was</span></div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// called.</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordtype">int</span> num_nodes_at_last_get_roots_call_ = 0;</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span> };</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span> </div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">namespace </span><a class="code" href="namespaceinternal.html">internal</a> {</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment">// A helper to deduce the type of map to use depending on whether CompareOrHashT</span></div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// is a comparator or a hasher (prefer the latter).</span></div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T, <span class="keyword">typename</span> CompareOrHashT, <span class="keyword">typename</span> Eq></div><div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper.html"> 142</a></span> <span class="keyword">struct </span><a class="code" href="structinternal_1_1_connected_components_type_helper.html">ConnectedComponentsTypeHelper</a> {</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">// SFINAE trait to detect hash functors and select unordered containers if so,</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// and ordered containers otherwise (= by default).</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U, <span class="keyword">typename</span> V, <span class="keyword">typename</span> E = <span class="keywordtype">void</span>></div><div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html"> 146</a></span>  <span class="keyword">struct </span><a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html">SelectContainer</a> {</div><div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#a2be509aa1e8296d054ffd75388e741f4"> 147</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#a2be509aa1e8296d054ffd75388e741f4">Set</a> = std::set<T, CompareOrHashT>;</div><div class="line"><a name="l00148"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#aca7db2d92e8c59ff71e6bfe290de15f6"> 148</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#aca7db2d92e8c59ff71e6bfe290de15f6">Map</a> = std::map<T, int, CompareOrHashT>;</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  };</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="comment">// Specialization for when U is a hash functor and Eq is void (no custom</span></div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="comment">// equality).</span></div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// The expression inside decltype is basically saying that "H(x)" is</span></div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="comment">// well-formed, where H is an instance of U and x is an instance of T, and is</span></div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">// a value of integral type. That is, we are "duck-typing" on whether U looks</span></div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="comment">// like a hash functor.</span></div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U, <span class="keyword">typename</span> V></div><div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html"> 158</a></span>  <span class="keyword">struct </span><a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html">SelectContainer</a><</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  U, V,</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="namespaceabsl.html">absl</a>::enable_if_t<std::is_integral<decltype(std::declval<const U&>()(</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  std::declval<const T&>()))>::value &&</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  std::is_same_v<V, void>>> {</div><div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#ad2ffa2bd07fdca63ea3e9b18d1ec58ab"> 163</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#ad2ffa2bd07fdca63ea3e9b18d1ec58ab">Set</a> = absl::flat_hash_set<T, CompareOrHashT>;</div><div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#a8f1c62e9492e61eb89e496a52e6a08b0"> 164</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#a8f1c62e9492e61eb89e496a52e6a08b0">Map</a> = absl::flat_hash_map<T, int, CompareOrHashT>;</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  };</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="comment">// Specialization for when U is a hash functor and Eq is provided (not void).</span></div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> U, <span class="keyword">typename</span> V></div><div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html"> 169</a></span>  <span class="keyword">struct </span><a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html">SelectContainer</a><</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  U, V,</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="code" href="namespaceabsl.html">absl</a>::enable_if_t<std::is_integral<decltype(std::declval<const U&>()(</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  std::declval<const T&>()))>::value &&</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  !std::is_same_v<V, void>>> {</div><div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#a49bcc21835215674db46965e4de0681e"> 174</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#a49bcc21835215674db46965e4de0681e">Set</a> = absl::flat_hash_set<T, CompareOrHashT, Eq>;</div><div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#aceb4318d20c41f27a4ef6c3272f23197"> 175</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#aceb4318d20c41f27a4ef6c3272f23197">Map</a> = absl::flat_hash_map<T, int, CompareOrHashT, Eq>;</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  };</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> </div><div class="line"><a name="l00178"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper.html#aea05f2d3c7de6bbbbb0adffd470fbce5"> 178</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper.html#aea05f2d3c7de6bbbbb0adffd470fbce5">Set</a> = <span class="keyword">typename</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#a2be509aa1e8296d054ffd75388e741f4">SelectContainer<CompareOrHashT, Eq>::Set</a>;</div><div class="line"><a name="l00179"></a><span class="lineno"><a class="line" href="structinternal_1_1_connected_components_type_helper.html#a5e243307133bf4b9d213eac078d0b7b7"> 179</a></span>  <span class="keyword">using</span> <a class="code" href="structinternal_1_1_connected_components_type_helper.html#a5e243307133bf4b9d213eac078d0b7b7">Map</a> = <span class="keyword">typename</span> <a class="code" href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#aca7db2d92e8c59ff71e6bfe290de15f6">SelectContainer<CompareOrHashT, Eq>::Map</a>;</div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> };</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span> </div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span> } <span class="comment">// namespace internal</span></div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// Usage:</span></div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment">// ConnectedComponentsFinder<MyNodeType> cc;</span></div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment">// cc.AddNode(node1);</span></div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment">// cc.AddNode(node2);</span></div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// cc.AddEdge(node1, node2);</span></div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// ... repeating, adding nodes and edges as needed. Adding an edge</span></div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// will automatically also add the two nodes at its ends, if they</span></div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// haven't already been added.</span></div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// vector<set<MyNodeType> > components;</span></div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// cc.FindConnectedComponents(&components);</span></div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// Each entry in components now contains all the nodes in a single</span></div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// connected component.</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment">//</span></div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// Protocol buffers can be used as the node type. Equality and hash functions</span></div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// for protocol buffers can be found in ortools/base/message_hasher.h.</span></div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">//</span></div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// Usage with flat_hash_set:</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// using ConnectedComponentType = flat_hash_set<MyNodeType>;</span></div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// ConnectedComponentsFinder<ConnectedComponentType::key_type,</span></div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// ConnectedComponentType::hasher,</span></div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// ConnectedComponentType::key_equal></span></div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment">// cc;</span></div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// ...</span></div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// vector<ConnectedComponentType> components;</span></div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment">// cc.FindConnectedComponents(&components);</span></div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment">//</span></div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// If you want to, you can continue adding nodes and edges after calling</span></div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment">// FindConnectedComponents, then call it again later.</span></div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment">//</span></div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// If your node type isn't STL-friendly, then you can use pointers to</span></div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// it instead:</span></div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment">// ConnectedComponentsFinder<MySTLUnfriendlyNodeType*> cc;</span></div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// cc.AddNode(&node1);</span></div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// ... and so on...</span></div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment">// Of course, in this usage, the connected components finder retains</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// these pointers through its lifetime (though it doesn't dereference them).</span></div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">template</span> <<span class="keyword">typename</span> T, <span class="keyword">typename</span> CompareOrHashT = std::less<T>,</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">typename</span> Eq = <span class="keywordtype">void</span>></div><div class="line"><a name="l00222"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html"> 222</a></span> <span class="keyword">class </span><a class="code" href="class_connected_components_finder.html">ConnectedComponentsFinder</a> {</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">using</span> <a class="code" href="class_connected_components_finder.html#aef2ff963b33a729831f48e9102785e99">Set</a> =</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">typename</span> <a class="code" href="structinternal_1_1_connected_components_type_helper.html">internal::ConnectedComponentsTypeHelper</a><T, CompareOrHashT,</div><div class="line"><a name="l00226"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#aef2ff963b33a729831f48e9102785e99"> 226</a></span>  Eq><a class="code" href="class_connected_components_finder.html#aef2ff963b33a729831f48e9102785e99">::Set</a>;</div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> </div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="comment">// Constructs a connected components finder.</span></div><div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#a9d3b69f74c9aa5e8ddbf4e4056320a66"> 229</a></span>  <a class="code" href="class_connected_components_finder.html#a9d3b69f74c9aa5e8ddbf4e4056320a66">ConnectedComponentsFinder</a>() {}</div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span> </div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <a class="code" href="class_connected_components_finder.html#a9d3b69f74c9aa5e8ddbf4e4056320a66">ConnectedComponentsFinder</a>(<span class="keyword">const</span> <a class="code" href="class_connected_components_finder.html">ConnectedComponentsFinder</a>&) = <span class="keyword">delete</span>;</div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="class_connected_components_finder.html">ConnectedComponentsFinder</a>& <a class="code" href="class_connected_components_finder.html#afab44a2f4671e0d0b0f30268ee17b70a">operator=</a>(<span class="keyword">const</span> <a class="code" href="class_connected_components_finder.html">ConnectedComponentsFinder</a>&) =</div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">delete</span>;</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span> </div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="comment">// Adds a node in the graph. It is OK to add the same node more than</span></div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="comment">// once; additions after the first have no effect.</span></div><div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#a5ad4abab1ba8325ac397efcba89563d4"> 237</a></span>  <span class="keywordtype">void</span> <a class="code" href="class_connected_components_finder.html#a5ad4abab1ba8325ac397efcba89563d4">AddNode</a>(T node) { LookupOrInsertNode<true>(node); }</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> </div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="comment">// Adds an edge in the graph. Also adds both endpoint nodes as necessary.</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="comment">// It is not an error to add the same edge twice. Self-edges are OK too.</span></div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="comment">// Returns true if the two nodes are newly connected, and false if they were</span></div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="comment">// already connected.</span></div><div class="line"><a name="l00243"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#a52a1af0d0ad4b70e83987131b8585cab"> 243</a></span>  <span class="keywordtype">bool</span> <a class="code" href="class_connected_components_finder.html#a52a1af0d0ad4b70e83987131b8585cab">AddEdge</a>(T node1, T node2) {</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">return</span> delegate_.<a class="code" href="class_dense_connected_components_finder.html#a428ab6b7c944afe33bd86a6a1ae7e668">AddEdge</a>(LookupOrInsertNode<false>(node1),</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  LookupOrInsertNode<false>(node2));</div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  }</div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span> </div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// Returns true iff both nodes are in the same connected component.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">// Returns false if either node has not been already added with AddNode.</span></div><div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#ac7782f36c09257f370347166e02480f1"> 250</a></span>  <span class="keywordtype">bool</span> <a class="code" href="class_connected_components_finder.html#ac7782f36c09257f370347166e02480f1">Connected</a>(T node1, T node2) {</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">return</span> delegate_.<a class="code" href="class_dense_connected_components_finder.html#a962b54327591b21cc0a9273f78906a8b">Connected</a>(<a class="code" href="namespacegtl.html#abc18f60961e36340e64e428827c0e38e">gtl::FindWithDefault</a>(index_, node1, -1),</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <a class="code" href="namespacegtl.html#abc18f60961e36340e64e428827c0e38e">gtl::FindWithDefault</a>(index_, node2, -1));</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  }</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="comment">// Finds the connected component containing a node, and returns the</span></div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="comment">// total number of nodes in that component. Returns zero iff the</span></div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="comment">// node has not been already added with AddNode.</span></div><div class="line"><a name="l00258"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#a8c22d56c6bcad754b70f626de84070a0"> 258</a></span>  <span class="keywordtype">int</span> <a class="code" href="class_connected_components_finder.html#a8c22d56c6bcad754b70f626de84070a0">GetSize</a>(T node) {</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keywordflow">return</span> delegate_.<a class="code" href="class_dense_connected_components_finder.html#af783278e17675394e30c3de598b11169">GetSize</a>(<a class="code" href="namespacegtl.html#abc18f60961e36340e64e428827c0e38e">gtl::FindWithDefault</a>(index_, node, -1));</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  }</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span> </div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="comment">// Finds all the connected components and assigns them to components.</span></div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="comment">// Components are ordered in the same way nodes were added, i.e. if node 'b'</span></div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="comment">// was added before node 'c', then either:</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="comment">// - 'c' belongs to the same component as a node 'a' added before 'b', or</span></div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="comment">// - the component for 'c' comes after the one for 'b'.</span></div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="comment">// There are two versions:</span></div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// - The first one returns the result, and stores each component in a vector.</span></div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">// This is the preferred version.</span></div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="comment">// - The second one populates the result, and stores each component in a set.</span></div><div class="line"><a name="l00271"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#aa1ba612c449ee127c1e747851c56a5fd"> 271</a></span>  std::vector<std::vector<T>> <a class="code" href="class_connected_components_finder.html#aa1ba612c449ee127c1e747851c56a5fd">FindConnectedComponents</a>() {</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keyword">const</span> <span class="keyword">auto</span> component_ids = delegate_.<a class="code" href="class_dense_connected_components_finder.html#a74aadb96adc6f37110393d5fbd2279c5">GetComponentIds</a>();</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  std::vector<std::vector<T>> components(delegate_.<a class="code" href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">GetNumberOfComponents</a>());</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& elem_id : index_) {</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  components[component_ids[elem_id.second]].push_back(elem_id.first);</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  }</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="keywordflow">return</span> components;</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  }</div><div class="line"><a name="l00279"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#afda6ee20c3c31153322022a67a31ee00"> 279</a></span>  <span class="keywordtype">void</span> <a class="code" href="class_connected_components_finder.html#afda6ee20c3c31153322022a67a31ee00">FindConnectedComponents</a>(std::vector<Set>* components) {</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keyword">const</span> <span class="keyword">auto</span> component_ids = delegate_.<a class="code" href="class_dense_connected_components_finder.html#a74aadb96adc6f37110393d5fbd2279c5">GetComponentIds</a>();</div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  components->clear();</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  components->resize(delegate_.<a class="code" href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">GetNumberOfComponents</a>());</div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& elem_id : index_) {</div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  components->at(component_ids[elem_id.second]).insert(elem_id.first);</div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  }</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span> </div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="comment">// Returns the current number of connected components.</span></div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// This number can change as the new nodes or edges are added.</span></div><div class="line"><a name="l00290"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31"> 290</a></span>  <span class="keywordtype">int</span> <a class="code" href="class_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">GetNumberOfComponents</a>()<span class="keyword"> const </span>{</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">return</span> delegate_.<a class="code" href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">GetNumberOfComponents</a>();</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  }</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span> </div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="comment">// Returns the current number of added distinct nodes.</span></div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="comment">// This includes nodes added explicitly via the calls to AddNode() method</span></div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="comment">// and implicitly via the calls to AddEdge() method.</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="comment">// Nodes that were added several times only count once.</span></div><div class="line"><a name="l00298"></a><span class="lineno"><a class="line" href="class_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f"> 298</a></span>  <span class="keywordtype">int</span> <a class="code" href="class_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f">GetNumberOfNodes</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> delegate_.<a class="code" href="class_dense_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f">GetNumberOfNodes</a>(); }</div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span> </div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keyword">private</span>:</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="comment">// Returns the index for the given node. If the node does not exist and</span></div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="comment">// update_delegate is true, explicitly add the node to the delegate.</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keyword">template</span> <<span class="keywordtype">bool</span> update_delegate></div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordtype">int</span> LookupOrInsertNode(T node) {</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keyword">const</span> <span class="keyword">auto</span> result = index_.emplace(node, index_.size());</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> node_id = result.first->second;</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="keywordflow">if</span> (update_delegate && result.second) {</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="comment">// A new index was created.</span></div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  delegate_.<a class="code" href="class_dense_connected_components_finder.html#ad8e718920ab9683d39af650d714cffe1">SetNumberOfNodes</a>(node_id + 1);</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  }</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">return</span> node_id;</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  }</div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <a class="code" href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a> delegate_;</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">typename</span> <a class="code" href="structinternal_1_1_connected_components_type_helper.html#a5e243307133bf4b9d213eac078d0b7b7">internal::ConnectedComponentsTypeHelper<T, CompareOrHashT, Eq>::Map</a></div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  index_;</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span> };</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span> </div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// Implementations of the method templates</span></div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// =============================================================================</span></div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">namespace </span><a class="code" href="namespaceutil.html">util</a> {</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="keyword">template</span> <<span class="keyword">class</span> UndirectedGraph></div><div class="line"><a name="l00324"></a><span class="lineno"><a class="line" href="namespaceutil.html#a366d433bd2afb387ea527c581447dffc"> 324</a></span> std::vector<int> <a class="code" href="namespaceutil.html#a366d433bd2afb387ea527c581447dffc">GetConnectedComponents</a>(<span class="keywordtype">int</span> num_nodes,</div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keyword">const</span> UndirectedGraph& graph) {</div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  std::vector<int> component_of_node(num_nodes, -1);</div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  std::vector<int> bfs_queue;</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  <span class="keywordtype">int</span> num_components = 0;</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> src = 0; src < num_nodes; ++src) {</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">if</span> (component_of_node[src] >= 0) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  bfs_queue.push_back(src);</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  component_of_node[src] = num_components;</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> num_visited = 0; num_visited < bfs_queue.size(); ++num_visited) {</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> node = bfs_queue[num_visited];</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> neighbor : graph[node]) {</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">if</span> (component_of_node[neighbor] >= 0) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  component_of_node[neighbor] = num_components;</div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  bfs_queue.push_back(neighbor);</div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  }</div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  }</div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  ++num_components;</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  bfs_queue.clear();</div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  }</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordflow">return</span> component_of_node;</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span> }</div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span> } <span class="comment">// namespace util</span></div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="preprocessor">#endif // UTIL_GRAPH_CONNECTED_COMPONENTS_H_</span></div><div class="ttc" id="class_dense_connected_components_finder_html"><div class="ttname"><a href="class_dense_connected_components_finder.html">DenseConnectedComponentsFinder</a></div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00081">connected_components.h:81</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_aef2ff963b33a729831f48e9102785e99"><div class="ttname"><a href="class_connected_components_finder.html#aef2ff963b33a729831f48e9102785e99">ConnectedComponentsFinder::Set</a></div><div class="ttdeci">typename internal::ConnectedComponentsTypeHelper< T, CompareOrHashT, Eq >::Set Set</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00226">connected_components.h:226</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22_html_ad2ffa2bd07fdca63ea3e9b18d1ec58ab"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#ad2ffa2bd07fdca63ea3e9b18d1ec58ab">internal::ConnectedComponentsTypeHelper::SelectContainer< U, V, absl::enable_if_t< std::is_integral< decltype(std::declval< const U & >()(std::declval< const T & >()))>::value &&std::is_same_v< V, void > > >::Set</a></div><div class="ttdeci">absl::flat_hash_set< T, CompareOrHashT > Set</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00163">connected_components.h:163</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a69798a8b25f99eaf0d2880bf502ca58a"><div class="ttname"><a href="class_dense_connected_components_finder.html#a69798a8b25f99eaf0d2880bf502ca58a">DenseConnectedComponentsFinder::operator=</a></div><div class="ttdeci">DenseConnectedComponentsFinder & operator=(const DenseConnectedComponentsFinder &)=default</div></div>
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<div class="ttc" id="namespaceutil_html"><div class="ttname"><a href="namespaceutil.html">util</a></div><div class="ttdef"><b>Definition:</b> <a href="status__builder_8h_source.html#l00022">status_builder.h:22</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_a5ad4abab1ba8325ac397efcba89563d4"><div class="ttname"><a href="class_connected_components_finder.html#a5ad4abab1ba8325ac397efcba89563d4">ConnectedComponentsFinder::AddNode</a></div><div class="ttdeci">void AddNode(T node)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00237">connected_components.h:237</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_aa1ba612c449ee127c1e747851c56a5fd"><div class="ttname"><a href="class_connected_components_finder.html#aa1ba612c449ee127c1e747851c56a5fd">ConnectedComponentsFinder::FindConnectedComponents</a></div><div class="ttdeci">std::vector< std::vector< T > > FindConnectedComponents()</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00271">connected_components.h:271</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_afab44a2f4671e0d0b0f30268ee17b70a"><div class="ttname"><a href="class_connected_components_finder.html#afab44a2f4671e0d0b0f30268ee17b70a">ConnectedComponentsFinder::operator=</a></div><div class="ttdeci">ConnectedComponentsFinder & operator=(const ConnectedComponentsFinder &)=delete</div></div>
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<div class="ttc" id="class_connected_components_finder_html"><div class="ttname"><a href="class_connected_components_finder.html">ConnectedComponentsFinder</a></div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00222">connected_components.h:222</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_a52a1af0d0ad4b70e83987131b8585cab"><div class="ttname"><a href="class_connected_components_finder.html#a52a1af0d0ad4b70e83987131b8585cab">ConnectedComponentsFinder::AddEdge</a></div><div class="ttdeci">bool AddEdge(T node1, T node2)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00243">connected_components.h:243</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_html_aea05f2d3c7de6bbbbb0adffd470fbce5"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper.html#aea05f2d3c7de6bbbbb0adffd470fbce5">internal::ConnectedComponentsTypeHelper::Set</a></div><div class="ttdeci">typename SelectContainer< CompareOrHashT, Eq >::Set Set</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00178">connected_components.h:178</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a962b54327591b21cc0a9273f78906a8b"><div class="ttname"><a href="class_dense_connected_components_finder.html#a962b54327591b21cc0a9273f78906a8b">DenseConnectedComponentsFinder::Connected</a></div><div class="ttdeci">bool Connected(int node1, int node2)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00134">connected_components.cc:134</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_aeeb8b88902830cab41c69ef944b5694f"><div class="ttname"><a href="class_dense_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f">DenseConnectedComponentsFinder::GetNumberOfNodes</a></div><div class="ttdeci">int GetNumberOfNodes() const</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00100">connected_components.h:100</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a4ef11c9c005bbad4089a8f844038d0ab"><div class="ttname"><a href="class_dense_connected_components_finder.html#a4ef11c9c005bbad4089a8f844038d0ab">DenseConnectedComponentsFinder::DenseConnectedComponentsFinder</a></div><div class="ttdeci">DenseConnectedComponentsFinder()</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00083">connected_components.h:83</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_html"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html">internal::ConnectedComponentsTypeHelper::SelectContainer</a></div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00146">connected_components.h:146</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_a9d3b69f74c9aa5e8ddbf4e4056320a66"><div class="ttname"><a href="class_connected_components_finder.html#a9d3b69f74c9aa5e8ddbf4e4056320a66">ConnectedComponentsFinder::ConnectedComponentsFinder</a></div><div class="ttdeci">ConnectedComponentsFinder()</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00229">connected_components.h:229</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a74aadb96adc6f37110393d5fbd2279c5"><div class="ttname"><a href="class_dense_connected_components_finder.html#a74aadb96adc6f37110393d5fbd2279c5">DenseConnectedComponentsFinder::GetComponentIds</a></div><div class="ttdeci">std::vector< int > GetComponentIds()</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00149">connected_components.cc:149</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_aeeb8b88902830cab41c69ef944b5694f"><div class="ttname"><a href="class_connected_components_finder.html#aeeb8b88902830cab41c69ef944b5694f">ConnectedComponentsFinder::GetNumberOfNodes</a></div><div class="ttdeci">int GetNumberOfNodes() const</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00298">connected_components.h:298</a></div></div>
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<div class="ttc" id="namespaceutil_html_a366d433bd2afb387ea527c581447dffc"><div class="ttname"><a href="namespaceutil.html#a366d433bd2afb387ea527c581447dffc">util::GetConnectedComponents</a></div><div class="ttdeci">std::vector< int > GetConnectedComponents(int num_nodes, const UndirectedGraph &graph)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00324">connected_components.h:324</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_a8c22d56c6bcad754b70f626de84070a0"><div class="ttname"><a href="class_connected_components_finder.html#a8c22d56c6bcad754b70f626de84070a0">ConnectedComponentsFinder::GetSize</a></div><div class="ttdeci">int GetSize(T node)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00258">connected_components.h:258</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed_html_a49bcc21835215674db46965e4de0681e"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#a49bcc21835215674db46965e4de0681e">internal::ConnectedComponentsTypeHelper::SelectContainer< U, V, absl::enable_if_t< std::is_integral< decltype(std::declval< const U & >()(std::declval< const T & >()))>::value &&!std::is_same_v< V, void > > >::Set</a></div><div class="ttdeci">absl::flat_hash_set< T, CompareOrHashT, Eq > Set</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00174">connected_components.h:174</a></div></div>
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<div class="ttc" id="ptr__util_8h_html"><div class="ttname"><a href="ptr__util_8h.html">ptr_util.h</a></div></div>
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<div class="ttc" id="namespaceabsl_html"><div class="ttname"><a href="namespaceabsl.html">absl</a></div><div class="ttdef"><b>Definition:</b> <a href="cleanup_8h_source.html#l00022">cleanup.h:22</a></div></div>
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<div class="ttc" id="map__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22_html_a8f1c62e9492e61eb89e496a52e6a08b0"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01abs1534987f9e8409be3313e3a3227b2e22.html#a8f1c62e9492e61eb89e496a52e6a08b0">internal::ConnectedComponentsTypeHelper::SelectContainer< U, V, absl::enable_if_t< std::is_integral< decltype(std::declval< const U & >()(std::declval< const T & >()))>::value &&std::is_same_v< V, void > > >::Map</a></div><div class="ttdeci">absl::flat_hash_map< T, int, CompareOrHashT > Map</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00164">connected_components.h:164</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_ae6201f6f09303eabd7f77e238b4f3a44"><div class="ttname"><a href="class_dense_connected_components_finder.html#ae6201f6f09303eabd7f77e238b4f3a44">DenseConnectedComponentsFinder::GetComponentRoots</a></div><div class="ttdeci">const std::vector< int > & GetComponentRoots()</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00073">connected_components.cc:73</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_html_a5e243307133bf4b9d213eac078d0b7b7"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper.html#a5e243307133bf4b9d213eac078d0b7b7">internal::ConnectedComponentsTypeHelper::Map</a></div><div class="ttdeci">typename SelectContainer< CompareOrHashT, Eq >::Map Map</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00179">connected_components.h:179</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed_html_aceb4318d20c41f27a4ef6c3272f23197"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container_3_01_u_00_01_v_00_01absd9e38fb7eadb6bad4dd775831f3ebbed.html#aceb4318d20c41f27a4ef6c3272f23197">internal::ConnectedComponentsTypeHelper::SelectContainer< U, V, absl::enable_if_t< std::is_integral< decltype(std::declval< const U & >()(std::declval< const T & >()))>::value &&!std::is_same_v< V, void > > >::Map</a></div><div class="ttdeci">absl::flat_hash_map< T, int, CompareOrHashT, Eq > Map</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00175">connected_components.h:175</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_ad8e718920ab9683d39af650d714cffe1"><div class="ttname"><a href="class_dense_connected_components_finder.html#ad8e718920ab9683d39af650d714cffe1">DenseConnectedComponentsFinder::SetNumberOfNodes</a></div><div class="ttdeci">void SetNumberOfNodes(int num_nodes)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00036">connected_components.cc:36</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a5484947d25c2901c60d02ea14d0e1a06"><div class="ttname"><a href="class_dense_connected_components_finder.html#a5484947d25c2901c60d02ea14d0e1a06">DenseConnectedComponentsFinder::FindRoot</a></div><div class="ttdeci">int FindRoot(int node)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00054">connected_components.cc:54</a></div></div>
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<div class="ttc" id="base_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_af1a300e659dbc3041b1485f12855bd31"><div class="ttname"><a href="class_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">ConnectedComponentsFinder::GetNumberOfComponents</a></div><div class="ttdeci">int GetNumberOfComponents() const</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00290">connected_components.h:290</a></div></div>
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<div class="ttc" id="namespacegtl_html_abc18f60961e36340e64e428827c0e38e"><div class="ttname"><a href="namespacegtl.html#abc18f60961e36340e64e428827c0e38e">gtl::FindWithDefault</a></div><div class="ttdeci">const Collection::value_type::second_type & FindWithDefault(const Collection &collection, const typename Collection::value_type::first_type &key, const typename Collection::value_type::second_type &value)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00029">map_util.h:29</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_af1a300e659dbc3041b1485f12855bd31"><div class="ttname"><a href="class_dense_connected_components_finder.html#af1a300e659dbc3041b1485f12855bd31">DenseConnectedComponentsFinder::GetNumberOfComponents</a></div><div class="ttdeci">int GetNumberOfComponents() const</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00099">connected_components.h:99</a></div></div>
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<div class="ttc" id="namespaceinternal_html"><div class="ttname"><a href="namespaceinternal.html">internal</a></div><div class="ttdef"><b>Definition:</b> <a href="bop__parameters_8pb_8h_source.html#l00039">bop_parameters.pb.h:39</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_html_a2be509aa1e8296d054ffd75388e741f4"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#a2be509aa1e8296d054ffd75388e741f4">internal::ConnectedComponentsTypeHelper::SelectContainer::Set</a></div><div class="ttdeci">std::set< T, CompareOrHashT > Set</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00147">connected_components.h:147</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_af783278e17675394e30c3de598b11169"><div class="ttname"><a href="class_dense_connected_components_finder.html#af783278e17675394e30c3de598b11169">DenseConnectedComponentsFinder::GetSize</a></div><div class="ttdeci">int GetSize(int node)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00142">connected_components.cc:142</a></div></div>
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<div class="ttc" id="class_dense_connected_components_finder_html_a428ab6b7c944afe33bd86a6a1ae7e668"><div class="ttname"><a href="class_dense_connected_components_finder.html#a428ab6b7c944afe33bd86a6a1ae7e668">DenseConnectedComponentsFinder::AddEdge</a></div><div class="ttdeci">bool AddEdge(int node1, int node2)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8cc_source.html#l00096">connected_components.cc:96</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_ac7782f36c09257f370347166e02480f1"><div class="ttname"><a href="class_connected_components_finder.html#ac7782f36c09257f370347166e02480f1">ConnectedComponentsFinder::Connected</a></div><div class="ttdeci">bool Connected(T node1, T node2)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00250">connected_components.h:250</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_html"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper.html">internal::ConnectedComponentsTypeHelper</a></div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00142">connected_components.h:142</a></div></div>
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<div class="ttc" id="structinternal_1_1_connected_components_type_helper_1_1_select_container_html_aca7db2d92e8c59ff71e6bfe290de15f6"><div class="ttname"><a href="structinternal_1_1_connected_components_type_helper_1_1_select_container.html#aca7db2d92e8c59ff71e6bfe290de15f6">internal::ConnectedComponentsTypeHelper::SelectContainer::Map</a></div><div class="ttdeci">std::map< T, int, CompareOrHashT > Map</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00148">connected_components.h:148</a></div></div>
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<div class="ttc" id="class_connected_components_finder_html_afda6ee20c3c31153322022a67a31ee00"><div class="ttname"><a href="class_connected_components_finder.html#afda6ee20c3c31153322022a67a31ee00">ConnectedComponentsFinder::FindConnectedComponents</a></div><div class="ttdeci">void FindConnectedComponents(std::vector< Set > *components)</div><div class="ttdef"><b>Definition:</b> <a href="connected__components_8h_source.html#l00279">connected_components.h:279</a></div></div>
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