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305 lines
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<div class="headertitle"><div class="title">diffn_util.h</div></div>
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<a href="diffn__util_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" 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>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include "absl/container/flat_hash_set.h"</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "absl/strings/str_format.h"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "<a class="code" href="connected__components_8h.html">ortools/graph/connected_components.h</a>"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html"> 29</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a> {</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c"> 30</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>;</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e"> 31</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>;</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095"> 32</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>;</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f"> 33</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6"> 35</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6">TakeUnionWith</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a>& other) {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>);</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>);</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>);</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd"> 42</a></span> IntegerValue <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd">Area</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a> - <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>) * (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a> - <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>); }</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#af35016193fab7576c18a7fbd0e3b9a20">IsDisjoint</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a>& other) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355"> 46</a></span> std::string <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> absl::StrFormat(<span class="stringliteral">"rectangle(x(%i..%i), y(%i..%i))"</span>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>.value(),</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>.value(), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>.value(), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>.value());</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>};</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// Creates a graph when two nodes are connected iif their rectangles overlap.</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// Then partition into connected components.</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="comment">//</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="comment">// This method removes all singleton components. It will modify the</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="comment">// active_rectangle span in place.</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>std::vector<absl::Span<int>> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3e2516c0d3fc4991896c6a9bbead80e7">GetOverlappingRectangleComponents</a>(</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> absl::Span<int> active_rectangles);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">// Visible for testing. The algo is in O(n^4) so shouldn't be used directly.</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">// Returns true if there exist a bounding box with too much energy.</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acb732f4a9114d03a4b3e53109923e60f">BoxesAreInEnergyConflict</a>(<span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">const</span> std::vector<IntegerValue>& energies,</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> Rectangle* conflict = <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">// Checks that there is indeed a conflict for the given bounding_box and</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment">// report it. This returns false for convenience as we usually want to return</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment">// false on a conflict.</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment">//</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment">// TODO(user): relax the bounding box dimension to have a relaxed explanation.</span></div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment">// We can also minimize the number of required intervals.</span></div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac15dce45cd213b58af7a1fd6fc8a6ebc">ReportEnergyConflict</a>(Rectangle bounding_box, absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> SchedulingConstraintHelper* x,</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> SchedulingConstraintHelper* y);</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment">// A O(n^2) algorithm to analyze all the relevant X intervals and infer a</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="comment">// threshold of the y size of a bounding box after which there is no point</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment">// checking for energy overload.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="comment">//</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span><span class="comment">// Returns false on conflict, and fill the bounding box that caused the</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span><span class="comment">// conflict.</span></div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span><span class="comment">//</span></div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="comment">// If transpose is true, we analyze the relevant Y intervals instead.</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a98d09c7e8c4f5a15b569f5f14fa9937a">AnalyzeIntervals</a>(<span class="keywordtype">bool</span> transpose, absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">const</span> std::vector<IntegerValue>& rectangle_energies,</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> IntegerValue* x_threshold, IntegerValue* y_threshold,</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> Rectangle* conflict = <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment">// Removes boxes with a size above the thresholds. Also randomize the order.</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="comment">// Because we rely on various heuristic, this allow to change the order from</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span><span class="comment">// one call to the next.</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>absl::Span<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e6ac3124f7b4484cb98c11d412f9f34">FilterBoxesAndRandomize</a>(</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> std::vector<Rectangle>& cached_rectangles, absl::Span<int> boxes,</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> IntegerValue threshold_x, IntegerValue threshold_y, absl::BitGenRef random);</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment">// Given the total energy of all rectangles (sum of energies[box]) we know that</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment">// any box with an area greater than that cannot participate in any "bounding</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="comment">// box" conflict. As we remove this box, the total energy decrease, so we might</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="comment">// remove more. This works in O(n log n).</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>absl::Span<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae5c5a34c633c8746d9caca8d79cf2727">FilterBoxesThatAreTooLarge</a>(</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">const</span> std::vector<Rectangle>& cached_rectangles,</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keyword">const</span> std::vector<IntegerValue>& energies, absl::Span<int> boxes);</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html"> 107</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a> {</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0"> 108</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71"> 109</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>;</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727"> 110</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>;</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5"> 112</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& rhs)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">return</span> std::tie(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) ==</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> std::tie(rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>, rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>, rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> }</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// NOTE(user): We would like to use TUPLE_DEFINE_STRUCT, but sadly it doesn't</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// support //buildenv/target:non_prod.</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html"> 119</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html">ComparatorByStartThenEndThenIndex</a> {</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae"> 120</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae">operator()</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">return</span> std::tie(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.start, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.end, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.index) <</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::tie(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.start, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.end, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.index);</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> };</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html"> 125</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html">ComparatorByStart</a> {</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae"> 126</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae">operator()</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.start < <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.start;</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> };</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>};</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span>std::ostream& <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator<<</a>(std::ostream& out, <span class="keyword">const</span> IndexedInterval& <a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>);</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="comment">// Given n fixed intervals, returns the subsets of intervals that overlap during</span></div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="comment">// at least one time unit. Note that we only return "maximal" subset and filter</span></div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="comment">// subset strictly included in another.</span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment">//</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span><span class="comment">// All Intervals must have a positive size.</span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span><span class="comment">//</span></div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span><span class="comment">// The algo is in O(n log n) + O(result_size) which is usually O(n^2).</span></div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac3cb41a5bdd2bb25d3218fe11454a45a">ConstructOverlappingSets</a>(<span class="keywordtype">bool</span> already_sorted,</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> std::vector<IndexedInterval>* intervals,</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> std::vector<std::vector<int>>* result);</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment">// Given n intervals, returns the set of connected components (using the overlap</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment">// relation between 2 intervals). Components are sorted by their start, and</span></div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">// inside a component, the intervals are also sorted by start.</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="comment">// `intervals` is only sorted (by start), and not modified otherwise.</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a25663ee674a71cf424a0c60c9bf5506f">GetOverlappingIntervalComponents</a>(</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> std::vector<IndexedInterval>* intervals,</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> std::vector<std::vector<int>>* components);</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> </div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment">// Similar to GetOverlappingIntervalComponents(), but returns the indices of</span></div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="comment">// all intervals whose removal would create one more connected component in the</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">// interval graph. Those are sorted by start. See:</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="comment">// https://en.wikipedia.org/wiki/Glossary_of_graph_theory#articulation_point.</span></div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span>std::vector<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a29fc5608780f1d24b490a8bc3650774e">GetIntervalArticulationPoints</a>(</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::vector<IndexedInterval>* intervals);</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> </div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> </div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="aconnected__components_8h_html"><div class="ttname"><a href="connected__components_8h.html">connected_components.h</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a15ca399ada8a279dc92f693ede7e4004"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operations_research::sat::operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &os, const BoolVar &var)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00086">cp_model.cc:86</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a25663ee674a71cf424a0c60c9bf5506f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a25663ee674a71cf424a0c60c9bf5506f">operations_research::sat::GetOverlappingIntervalComponents</a></div><div class="ttdeci">void GetOverlappingIntervalComponents(std::vector< IndexedInterval > *intervals, std::vector< std::vector< int > > *components)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00395">diffn_util.cc:395</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a29fc5608780f1d24b490a8bc3650774e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a29fc5608780f1d24b490a8bc3650774e">operations_research::sat::GetIntervalArticulationPoints</a></div><div class="ttdeci">std::vector< int > GetIntervalArticulationPoints(std::vector< IndexedInterval > *intervals)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00428">diffn_util.cc:428</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3e2516c0d3fc4991896c6a9bbead80e7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3e2516c0d3fc4991896c6a9bbead80e7">operations_research::sat::GetOverlappingRectangleComponents</a></div><div class="ttdeci">std::vector< absl::Span< int > > GetOverlappingRectangleComponents(const std::vector< Rectangle > &rectangles, absl::Span< int > active_rectangles)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00026">diffn_util.cc:26</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4e6ac3124f7b4484cb98c11d412f9f34"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4e6ac3124f7b4484cb98c11d412f9f34">operations_research::sat::FilterBoxesAndRandomize</a></div><div class="ttdeci">absl::Span< int > FilterBoxesAndRandomize(const std::vector< Rectangle > &cached_rectangles, absl::Span< int > boxes, IntegerValue threshold_x, IntegerValue threshold_y, absl::BitGenRef random)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00303">diffn_util.cc:303</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a98d09c7e8c4f5a15b569f5f14fa9937a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a98d09c7e8c4f5a15b569f5f14fa9937a">operations_research::sat::AnalyzeIntervals</a></div><div class="ttdeci">bool AnalyzeIntervals(bool transpose, absl::Span< const int > local_boxes, const std::vector< Rectangle > &rectangles, const std::vector< IntegerValue > &rectangle_energies, IntegerValue *x_threshold, IntegerValue *y_threshold, Rectangle *conflict)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00151">diffn_util.cc:151</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac15dce45cd213b58af7a1fd6fc8a6ebc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac15dce45cd213b58af7a1fd6fc8a6ebc">operations_research::sat::ReportEnergyConflict</a></div><div class="ttdeci">bool ReportEnergyConflict(Rectangle bounding_box, absl::Span< const int > boxes, SchedulingConstraintHelper *x, SchedulingConstraintHelper *y)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00052">diffn_util.cc:52</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac3cb41a5bdd2bb25d3218fe11454a45a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac3cb41a5bdd2bb25d3218fe11454a45a">operations_research::sat::ConstructOverlappingSets</a></div><div class="ttdeci">void ConstructOverlappingSets(bool already_sorted, std::vector< IndexedInterval > *intervals, std::vector< std::vector< int > > *result)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00346">diffn_util.cc:346</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acb732f4a9114d03a4b3e53109923e60f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acb732f4a9114d03a4b3e53109923e60f">operations_research::sat::BoxesAreInEnergyConflict</a></div><div class="ttdeci">bool BoxesAreInEnergyConflict(const std::vector< Rectangle > &rectangles, const std::vector< IntegerValue > &energies, absl::Span< const int > boxes, Rectangle *conflict)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00084">diffn_util.cc:84</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae5c5a34c633c8746d9caca8d79cf2727"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae5c5a34c633c8746d9caca8d79cf2727">operations_research::sat::FilterBoxesThatAreTooLarge</a></div><div class="ttdeci">absl::Span< int > FilterBoxesThatAreTooLarge(const std::vector< Rectangle > &cached_rectangles, const std::vector< IntegerValue > &energies, absl::Span< int > boxes)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00319">diffn_util.cc:319</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="aresource_8cc_html_af92a8383a05fdf586a52263d358f5ada"><div class="ttname"><a href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a></div><div class="ttdeci">IntervalVar * interval</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00100">resource.cc:100</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html">operations_research::sat::IndexedInterval::ComparatorByStart</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00125">diffn_util.h:125</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_html_a66706c1327980f67b30494ab3651d8ae"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae">operations_research::sat::IndexedInterval::ComparatorByStart::operator()</a></div><div class="ttdeci">bool operator()(const IndexedInterval &a, const IndexedInterval &b) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00126">diffn_util.h:126</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html">operations_research::sat::IndexedInterval::ComparatorByStartThenEndThenIndex</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00119">diffn_util.h:119</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index_html_a66706c1327980f67b30494ab3651d8ae"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae">operations_research::sat::IndexedInterval::ComparatorByStartThenEndThenIndex::operator()</a></div><div class="ttdeci">bool operator()(const IndexedInterval &a, const IndexedInterval &b) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00120">diffn_util.h:120</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html">operations_research::sat::IndexedInterval</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00107">diffn_util.h:107</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a3ef64c28e09f7e10c2cca5459e31e727"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">operations_research::sat::IndexedInterval::end</a></div><div class="ttdeci">IntegerValue end</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00110">diffn_util.h:110</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a400e140755dad2869fffc4fe00e5aa71"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">operations_research::sat::IndexedInterval::start</a></div><div class="ttdeci">IntegerValue start</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00109">diffn_util.h:109</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a46103419d73599371fe5864c039d14b5"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5">operations_research::sat::IndexedInterval::operator==</a></div><div class="ttdeci">bool operator==(const IndexedInterval &rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00112">diffn_util.h:112</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">operations_research::sat::IndexedInterval::index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00108">diffn_util.h:108</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html">operations_research::sat::Rectangle</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00029">diffn_util.h:29</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a0cc9a3a200ee27bae9b9907d97b5718e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">operations_research::sat::Rectangle::x_max</a></div><div class="ttdeci">IntegerValue x_max</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00031">diffn_util.h:31</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a1f62ae069f3793df9ae18399ba6d052c"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">operations_research::sat::Rectangle::x_min</a></div><div class="ttdeci">IntegerValue x_min</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00030">diffn_util.h:30</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a379a897decc0711464cb15e8d02fd095"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">operations_research::sat::Rectangle::y_min</a></div><div class="ttdeci">IntegerValue y_min</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00032">diffn_util.h:32</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a72c77da14562bc93e057989744b551fd"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd">operations_research::sat::Rectangle::Area</a></div><div class="ttdeci">IntegerValue Area() const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00042">diffn_util.h:42</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::Rectangle::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00046">diffn_util.h:46</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_ae0f155c5fab2db4cf40e75f0ad6039f6"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6">operations_research::sat::Rectangle::TakeUnionWith</a></div><div class="ttdeci">void TakeUnionWith(const Rectangle &other)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00035">diffn_util.h:35</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_ae39303b5b3149e1914834c36ad51fe8f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">operations_research::sat::Rectangle::y_max</a></div><div class="ttdeci">IntegerValue y_max</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00033">diffn_util.h:33</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_af35016193fab7576c18a7fbd0e3b9a20"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#af35016193fab7576c18a7fbd0e3b9a20">operations_research::sat::Rectangle::IsDisjoint</a></div><div class="ttdeci">bool IsDisjoint(const Rectangle &other) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00021">diffn_util.cc:21</a></div></div>
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