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284 lines
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<div class="title">cp_constraints.cc</div> </div>
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<a href="cp__constraints_8cc.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 2010-2018 Google LLC</span></div>
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<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>
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<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>
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<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>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<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>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<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>
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<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>
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<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>
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<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>
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<div class="line"><a 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 name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="cp__constraints_8h.html">ortools/sat/cp_constraints.h</a>"</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include "absl/container/flat_hash_map.h"</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include "<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>"</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "<a class="code" href="sat__solver_8h.html">ortools/sat/sat_solver.h</a>"</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include "<a class="code" href="sort_8h.html">ortools/util/sort.h</a>"</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  </div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span>sat {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 26</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">BooleanXorPropagator::Propagate</a>() {</div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordtype">bool</span> sum = <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordtype">int</span> unassigned_index = -1;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < literals_.size(); ++i) {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l = literals_[i];</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">if</span> (trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(l)) {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  sum ^= <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(l)) {</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  sum ^= <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// If we have more than one unassigned literal, we can't deduce anything.</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">if</span> (unassigned_index != -1) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  unassigned_index = i;</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  }</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  }</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// Propagates?</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">if</span> (unassigned_index != -1) {</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  literal_reason_.clear();</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < literals_.size(); ++i) {</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">if</span> (i == unassigned_index) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l = literals_[i];</div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  literal_reason_.push_back(</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(l) ? l : l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> u = literals_[unassigned_index];</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">EnqueueLiteral</a>(sum == value_ ? u.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>() : u,</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  literal_reason_, {});</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="comment">// Ok.</span></div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">if</span> (sum == value_) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// Conflict.</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  std::vector<Literal>* conflict = trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">MutableConflict</a>();</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  conflict->clear();</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < literals_.size(); ++i) {</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l = literals_[i];</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  conflict->push_back(trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(l) ? l</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  : l.<a class="code" href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">Negated</a>());</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> }</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
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<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 71</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">BooleanXorPropagator::RegisterWith</a>(<a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a>& l : literals_) {</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(l, <span class="keywordtype">id</span>);</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(l.Negated(), <span class="keywordtype">id</span>);</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  }</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
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<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#af75257fbe9bf6576c25fe2267b836af8"> 79</a></span> <a class="code" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#af75257fbe9bf6576c25fe2267b836af8">GreaterThanAtLeastOneOfPropagator::GreaterThanAtLeastOneOfPropagator</a>(</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  IntegerVariable target_var, <span class="keyword">const</span> absl::Span<const IntegerVariable> vars,</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="keyword">const</span> absl::Span<const IntegerValue> offsets,</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keyword">const</span> absl::Span<const Literal> selectors,</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keyword">const</span> absl::Span<const Literal> enforcements, <a class="code" href="classoperations__research_1_1sat_1_1_model.html">Model</a>* <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  : <a class="code" href="sched__constraints_8cc.html#a527571de51e3f4b1fc9945f3a374faad">target_var_</a>(target_var),</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a>(vars.begin(), vars.end()),</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  offsets_(offsets.begin(), offsets.end()),</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  selectors_(selectors.begin(), selectors.end()),</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  enforcements_(enforcements.begin(), enforcements.end()),</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_trail.html">Trail</a>>()),</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  integer_trail_(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>->GetOrCreate<<a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html">IntegerTrail</a>>()) {}</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
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<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e"> 92</a></span> <span class="keywordtype">bool</span> <a class="code" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">GreaterThanAtLeastOneOfPropagator::Propagate</a>() {</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="comment">// TODO(user): In case of a conflict, we could push one of them to false if</span></div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// it is the only one.</span></div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : enforcements_) {</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">if</span> (!trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(l)) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  }</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// Compute the min of the lower-bound for the still possible variables.</span></div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// TODO(user): This could be optimized by keeping more info from the last</span></div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="comment">// Propagate() calls.</span></div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  IntegerValue target_min = <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>;</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">const</span> IntegerValue current_min = integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(target_var_);</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < vars_.size(); ++i) {</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">if</span> (trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">LiteralIsTrue</a>(selectors_[i])) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> (trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(selectors_[i])) <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  target_min = <a class="code" href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">std::min</a>(target_min,</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">LowerBound</a>(vars_[i]) + offsets_[i]);</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// Abort if we can't get a better bound.</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">if</span> (target_min <= current_min) <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (target_min == <a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">kMaxIntegerValue</a>) {</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// All false, conflit.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  *(trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">MutableConflict</a>()) = selectors_;</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  }</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  </div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  literal_reason_.clear();</div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  integer_reason_.clear();</div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : enforcements_) {</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  literal_reason_.push_back(l.Negated());</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  }</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < vars_.size(); ++i) {</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordflow">if</span> (trail_-><a class="code" href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">Assignment</a>().<a class="code" href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">LiteralIsFalse</a>(selectors_[i])) {</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  literal_reason_.push_back(selectors_[i]);</div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  integer_reason_.push_back(</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(vars_[i], target_min - offsets_[i]));</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  }</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keywordflow">return</span> integer_trail_-><a class="code" href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">Enqueue</a>(</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="structoperations__research_1_1sat_1_1_integer_literal.html#a6c233aafac25ea66d69de93a83c9be63">IntegerLiteral::GreaterOrEqual</a>(target_var_, target_min), literal_reason_,</div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  integer_reason_);</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> }</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  </div>
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<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736"> 137</a></span> <span class="keywordtype">void</span> <a class="code" href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">GreaterThanAtLeastOneOfPropagator::RegisterWith</a>(</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">GenericLiteralWatcher</a>* watcher) {</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <span class="keywordtype">id</span> = watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">Register</a>(<span class="keyword">this</span>);</div>
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : selectors_) watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(l.Negated(), <span class="keywordtype">id</span>);</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1sat_1_1_literal.html">Literal</a> l : enforcements_) watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">WatchLiteral</a>(l, <span class="keywordtype">id</span>);</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> IntegerVariable v : vars_) watcher-><a class="code" href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">WatchLowerBound</a>(v, <span class="keywordtype">id</span>);</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> } <span class="comment">// namespace sat</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> } <span class="comment">// namespace operations_research</span></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a021e695f54a13bd809c34b2f4ca87c37"><div class="ttname"><a href="alldiff__cst_8cc.html#a021e695f54a13bd809c34b2f4ca87c37">min</a></div><div class="ttdeci">int64 min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00138">alldiff_cst.cc:138</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a151248525a9e07eb3e6e60ea1c4995eb"><div class="ttname"><a href="alldiff__cst_8cc.html#a151248525a9e07eb3e6e60ea1c4995eb">vars_</a></div><div class="ttdeci">const std::vector< IntVar * > vars_</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00043">alldiff_cst.cc:43</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_boolean_xor_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::BooleanXorPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="cp__constraints_8cc_source.html#l00071">cp_constraints.cc:71</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_boolean_xor_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_boolean_xor_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::BooleanXorPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="cp__constraints_8cc_source.html#l00026">cp_constraints.cc:26</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html">operations_research::sat::GenericLiteralWatcher</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01108">integer.h:1108</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_a8f6dd74a841475ccb390614d2b212170"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#a8f6dd74a841475ccb390614d2b212170">operations_research::sat::GenericLiteralWatcher::WatchLiteral</a></div><div class="ttdeci">void WatchLiteral(Literal l, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01365">integer.h:1365</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_aaede7c755aad90772efda6db087f3413"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#aaede7c755aad90772efda6db087f3413">operations_research::sat::GenericLiteralWatcher::WatchLowerBound</a></div><div class="ttdeci">void WatchLowerBound(IntegerVariable var, int id, int watch_index=-1)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01373">integer.h:1373</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_generic_literal_watcher_html_adeee4ac52bfe0f1b48ee8958bb88b4e3"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_generic_literal_watcher.html#adeee4ac52bfe0f1b48ee8958bb88b4e3">operations_research::sat::GenericLiteralWatcher::Register</a></div><div class="ttdeci">int Register(PropagatorInterface *propagator)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01939">integer.cc:1939</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator_html_a6ee8ed57254aec3ae99d399bae5b3736"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#a6ee8ed57254aec3ae99d399bae5b3736">operations_research::sat::GreaterThanAtLeastOneOfPropagator::RegisterWith</a></div><div class="ttdeci">void RegisterWith(GenericLiteralWatcher *watcher)</div><div class="ttdef"><b>Definition:</b> <a href="cp__constraints_8cc_source.html#l00137">cp_constraints.cc:137</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator_html_ac1fe9b1f2b978c4283e42f12e586eb1e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#ac1fe9b1f2b978c4283e42f12e586eb1e">operations_research::sat::GreaterThanAtLeastOneOfPropagator::Propagate</a></div><div class="ttdeci">bool Propagate() final</div><div class="ttdef"><b>Definition:</b> <a href="cp__constraints_8cc_source.html#l00092">cp_constraints.cc:92</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator_html_af75257fbe9bf6576c25fe2267b836af8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_greater_than_at_least_one_of_propagator.html#af75257fbe9bf6576c25fe2267b836af8">operations_research::sat::GreaterThanAtLeastOneOfPropagator::GreaterThanAtLeastOneOfPropagator</a></div><div class="ttdeci">GreaterThanAtLeastOneOfPropagator(IntegerVariable target_var, const absl::Span< const IntegerVariable > vars, const absl::Span< const IntegerValue > offsets, const absl::Span< const Literal > selectors, const absl::Span< const Literal > enforcements, Model *model)</div><div class="ttdef"><b>Definition:</b> <a href="cp__constraints_8cc_source.html#l00079">cp_constraints.cc:79</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html">operations_research::sat::IntegerTrail</a></div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l00540">integer.h:540</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a05e837bb93eeabbbd94e8f690dd59d32"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a05e837bb93eeabbbd94e8f690dd59d32">operations_research::sat::IntegerTrail::Enqueue</a></div><div class="ttdeci">ABSL_MUST_USE_RESULT bool Enqueue(IntegerLiteral i_lit, absl::Span< const Literal > literal_reason, absl::Span< const IntegerLiteral > integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l00989">integer.cc:989</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_a79322fd8dff49ab2eab22c0570aba594"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#a79322fd8dff49ab2eab22c0570aba594">operations_research::sat::IntegerTrail::EnqueueLiteral</a></div><div class="ttdeci">void EnqueueLiteral(Literal literal, absl::Span< const Literal > literal_reason, absl::Span< const IntegerLiteral > integer_reason)</div><div class="ttdef"><b>Definition:</b> <a href="integer_8cc_source.html#l01087">integer.cc:1087</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_integer_trail_html_ab857cd2aead68952d9fe92a8ad8d3ac9"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_trail.html#ab857cd2aead68952d9fe92a8ad8d3ac9">operations_research::sat::IntegerTrail::LowerBound</a></div><div class="ttdeci">IntegerValue LowerBound(IntegerVariable i) const</div><div class="ttdef"><b>Definition:</b> <a href="integer_8h_source.html#l01300">integer.h:1300</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html">operations_research::sat::Literal</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00064">sat_base.h:64</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_literal_html_a886e9c024f7209181c0a850b6e90c644"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_literal.html#a886e9c024f7209181c0a850b6e90c644">operations_research::sat::Literal::Negated</a></div><div class="ttdeci">Literal Negated() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00091">sat_base.h:91</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_model.html">operations_research::sat::Model</a></div><div class="ttdoc">Class that owns everything related to a particular optimization model.</div><div class="ttdef"><b>Definition:</b> <a href="sat_2model_8h_source.html#l00038">sat/model.h:38</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html">operations_research::sat::Trail</a></div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00233">sat_base.h:233</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a84f6b2c778ed597c90f98f0329a25713"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a84f6b2c778ed597c90f98f0329a25713">operations_research::sat::Trail::MutableConflict</a></div><div class="ttdeci">std::vector< Literal > * MutableConflict()</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00361">sat_base.h:361</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_trail_html_a9789bf03dba611e9be5679d6e902d0c8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_trail.html#a9789bf03dba611e9be5679d6e902d0c8">operations_research::sat::Trail::Assignment</a></div><div class="ttdeci">const VariablesAssignment & Assignment() const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00380">sat_base.h:380</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html_a5300129913f51dcb0b1c531e3248490e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#a5300129913f51dcb0b1c531e3248490e">operations_research::sat::VariablesAssignment::LiteralIsTrue</a></div><div class="ttdeci">bool LiteralIsTrue(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00150">sat_base.h:150</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_variables_assignment_html_acfd1646011e643f58fd7dc66d9cc90a5"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_variables_assignment.html#acfd1646011e643f58fd7dc66d9cc90a5">operations_research::sat::VariablesAssignment::LiteralIsFalse</a></div><div class="ttdeci">bool LiteralIsFalse(Literal literal) const</div><div class="ttdef"><b>Definition:</b> <a href="sat__base_8h_source.html#l00147">sat_base.h:147</a></div></div>
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<div class="ttc" id="acp__constraints_8h_html"><div class="ttname"><a href="cp__constraints_8h.html">cp_constraints.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits< IntegerValue::ValueType >::max() - 1)</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">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</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="asat__solver_8h_html"><div class="ttname"><a href="sat__solver_8h.html">sat_solver.h</a></div></div>
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