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< a href = "BinPackingProblemSat_8cs.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 >
< div class = "line" > < a name = "l00002" > < / a > < span class = "lineno" > 2< / span >   < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
< div class = "line" > < a name = "l00003" > < / a > < span class = "lineno" > 3< / span >   < span class = "comment" > // you may not use this file except in compliance with the License.< / span > < / div >
< div class = "line" > < a name = "l00004" > < / a > < span class = "lineno" > 4< / span >   < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a name = "l00005" > < / a > < span class = "lineno" > 5< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00006" > < / a > < span class = "lineno" > 6< / span >   < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a name = "l00007" > < / a > < span class = "lineno" > 7< / span >   < span class = "comment" > //< / span > < / div >
< div class = "line" > < a name = "l00008" > < / a > < span class = "lineno" > 8< / span >   < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
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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 >
< div class = "line" > < a name = "l00011" > < / a > < span class = "lineno" > 11< / span >   < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a name = "l00012" > < / a > < span class = "lineno" > 12< / span >   < span class = "comment" > // limitations under the License.< / span > < / div >
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< div class = "line" > < a name = "l00014" > < / a > < span class = "lineno" > 14< / span >   < span class = "keyword" > using< / span > System;< / div >
< div class = "line" > < a name = "l00015" > < / a > < span class = "lineno" > 15< / span >   < span class = "keyword" > using< / span > < a class = "code" href = "namespaceGoogle.html" > Google< / a > .< a class = "code" href = "namespaceGoogle_1_1OrTools.html" > OrTools< / a > .< a class = "code" href = "namespaceGoogle_1_1OrTools_1_1Sat.html" > Sat< / a > ;< / div >
< div class = "line" > < a name = "l00016" > < / a > < span class = "lineno" > 16< / span >   < / div >
< div class = "line" > < a name = "l00017" > < / a > < span class = "lineno" > < a class = "line" href = "classBinPackingProblemSat.html" > 17< / a > < / span >   < span class = "keyword" > public< / span > < span class = "keyword" > class < / span > < a class = "code" href = "classBinPackingProblemSat.html" > BinPackingProblemSat< / a > < / div >
< div class = "line" > < a name = "l00018" > < / a > < span class = "lineno" > 18< / span >   {< / div >
< div class = "line" > < a name = "l00019" > < / a > < span class = "lineno" > 19< / span >   < span class = "keyword" > static< / span > < span class = "keywordtype" > void< / span > Main()< / div >
< div class = "line" > < a name = "l00020" > < / a > < span class = "lineno" > 20< / span >   {< / div >
< div class = "line" > < a name = "l00021" > < / a > < span class = "lineno" > 21< / span >   < span class = "comment" > // Data.< / span > < / div >
< div class = "line" > < a name = "l00022" > < / a > < span class = "lineno" > 22< / span >   < span class = "keywordtype" > int< / span > bin_capacity = 100;< / div >
< div class = "line" > < a name = "l00023" > < / a > < span class = "lineno" > 23< / span >   < span class = "keywordtype" > int< / span > slack_capacity = 20;< / div >
< div class = "line" > < a name = "l00024" > < / a > < span class = "lineno" > 24< / span >   < span class = "keywordtype" > int< / span > num_bins = 5;< / div >
< div class = "line" > < a name = "l00025" > < / a > < span class = "lineno" > 25< / span >   < / div >
< div class = "line" > < a name = "l00026" > < / a > < span class = "lineno" > 26< / span >   < span class = "keywordtype" > int< / span > [,] items = < span class = "keyword" > new< / span > < span class = "keywordtype" > int< / span > [,] { { 20, 6 }, { 15, 6 }, { 30, 4 }, { 45, 3 } };< / div >
< div class = "line" > < a name = "l00027" > < / a > < span class = "lineno" > 27< / span >   < span class = "keywordtype" > int< / span > num_items = items.GetLength(0);< / div >
< div class = "line" > < a name = "l00028" > < / a > < span class = "lineno" > 28< / span >   < / div >
< div class = "line" > < a name = "l00029" > < / a > < span class = "lineno" > 29< / span >   < span class = "comment" > // Model.< / span > < / div >
< div class = "line" > < a name = "l00030" > < / a > < span class = "lineno" > 30< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html" > CpModel< / a > model = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html" > CpModel< / a > ();< / div >
< div class = "line" > < a name = "l00031" > < / a > < span class = "lineno" > 31< / span >   < / div >
< div class = "line" > < a name = "l00032" > < / a > < span class = "lineno" > 32< / span >   < span class = "comment" > // Main variables.< / span > < / div >
< div class = "line" > < a name = "l00033" > < / a > < span class = "lineno" > 33< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [,] x = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [num_items, num_bins];< / div >
< div class = "line" > < a name = "l00034" > < / a > < span class = "lineno" > 34< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_items; ++i)< / div >
< div class = "line" > < a name = "l00035" > < / a > < span class = "lineno" > 35< / span >   {< / div >
< div class = "line" > < a name = "l00036" > < / a > < span class = "lineno" > 36< / span >   < span class = "keywordtype" > int< / span > num_copies = items[i, 1];< / div >
< div class = "line" > < a name = "l00037" > < / a > < span class = "lineno" > 37< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00038" > < / a > < span class = "lineno" > 38< / span >   {< / div >
< div class = "line" > < a name = "l00039" > < / a > < span class = "lineno" > 39< / span >   x[i, b] = model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7" > NewIntVar< / a > (0, num_copies, String.Format(< span class = "stringliteral" > " x_{0}_{1}" < / span > , i, b));< / div >
< div class = "line" > < a name = "l00040" > < / a > < span class = "lineno" > 40< / span >   }< / div >
< div class = "line" > < a name = "l00041" > < / a > < span class = "lineno" > 41< / span >   }< / div >
< div class = "line" > < a name = "l00042" > < / a > < span class = "lineno" > 42< / span >   < / div >
< div class = "line" > < a name = "l00043" > < / a > < span class = "lineno" > 43< / span >   < span class = "comment" > // Load variables.< / span > < / div >
< div class = "line" > < a name = "l00044" > < / a > < span class = "lineno" > 44< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [] load = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [num_bins];< / div >
< div class = "line" > < a name = "l00045" > < / a > < span class = "lineno" > 45< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00046" > < / a > < span class = "lineno" > 46< / span >   {< / div >
< div class = "line" > < a name = "l00047" > < / a > < span class = "lineno" > 47< / span >   load[b] = model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7" > NewIntVar< / a > (0, bin_capacity, String.Format(< span class = "stringliteral" > " load_{0}" < / span > , b));< / div >
< div class = "line" > < a name = "l00048" > < / a > < span class = "lineno" > 48< / span >   }< / div >
< div class = "line" > < a name = "l00049" > < / a > < span class = "lineno" > 49< / span >   < / div >
< div class = "line" > < a name = "l00050" > < / a > < span class = "lineno" > 50< / span >   < span class = "comment" > // Slack variables.< / span > < / div >
< div class = "line" > < a name = "l00051" > < / a > < span class = "lineno" > 51< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [] slacks = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [num_bins];< / div >
< div class = "line" > < a name = "l00052" > < / a > < span class = "lineno" > 52< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00053" > < / a > < span class = "lineno" > 53< / span >   {< / div >
< div class = "line" > < a name = "l00054" > < / a > < span class = "lineno" > 54< / span >   slacks[b] = model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a1f984ad05d2bb0a8df1354e8330f7ad1" > NewBoolVar< / a > (String.Format(< span class = "stringliteral" > " slack_{0}" < / span > , b));< / div >
< div class = "line" > < a name = "l00055" > < / a > < span class = "lineno" > 55< / span >   }< / div >
< div class = "line" > < a name = "l00056" > < / a > < span class = "lineno" > 56< / span >   < / div >
< div class = "line" > < a name = "l00057" > < / a > < span class = "lineno" > 57< / span >   < span class = "comment" > // Links load and x.< / span > < / div >
< div class = "line" > < a name = "l00058" > < / a > < span class = "lineno" > 58< / span >   < span class = "keywordtype" > int< / span > [] sizes = < span class = "keyword" > new< / span > < span class = "keywordtype" > int< / span > [num_items];< / div >
< div class = "line" > < a name = "l00059" > < / a > < span class = "lineno" > 59< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_items; ++i)< / div >
< div class = "line" > < a name = "l00060" > < / a > < span class = "lineno" > 60< / span >   {< / div >
< div class = "line" > < a name = "l00061" > < / a > < span class = "lineno" > 61< / span >   sizes[i] = items[i, 0];< / div >
< div class = "line" > < a name = "l00062" > < / a > < span class = "lineno" > 62< / span >   }< / div >
< div class = "line" > < a name = "l00063" > < / a > < span class = "lineno" > 63< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00064" > < / a > < span class = "lineno" > 64< / span >   {< / div >
< div class = "line" > < a name = "l00065" > < / a > < span class = "lineno" > 65< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [] tmp = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [num_items];< / div >
< div class = "line" > < a name = "l00066" > < / a > < span class = "lineno" > 66< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_items; ++i)< / div >
< div class = "line" > < a name = "l00067" > < / a > < span class = "lineno" > 67< / span >   {< / div >
< div class = "line" > < a name = "l00068" > < / a > < span class = "lineno" > 68< / span >   tmp[i] = x[i, b];< / div >
< div class = "line" > < a name = "l00069" > < / a > < span class = "lineno" > 69< / span >   }< / div >
< div class = "line" > < a name = "l00070" > < / a > < span class = "lineno" > 70< / span >   model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6" > Add< / a > (load[b] == < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html" > LinearExpr< / a > .< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#a831ac70e854e95eabab580d067dde974" > ScalProd< / a > (tmp, sizes));< / div >
< div class = "line" > < a name = "l00071" > < / a > < span class = "lineno" > 71< / span >   }< / div >
< div class = "line" > < a name = "l00072" > < / a > < span class = "lineno" > 72< / span >   < / div >
< div class = "line" > < a name = "l00073" > < / a > < span class = "lineno" > 73< / span >   < span class = "comment" > // Place all items.< / span > < / div >
< div class = "line" > < a name = "l00074" > < / a > < span class = "lineno" > 74< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_items; ++i)< / div >
< div class = "line" > < a name = "l00075" > < / a > < span class = "lineno" > 75< / span >   {< / div >
< div class = "line" > < a name = "l00076" > < / a > < span class = "lineno" > 76< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [] tmp = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > IntVar< / a > [num_bins];< / div >
< div class = "line" > < a name = "l00077" > < / a > < span class = "lineno" > 77< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00078" > < / a > < span class = "lineno" > 78< / span >   {< / div >
< div class = "line" > < a name = "l00079" > < / a > < span class = "lineno" > 79< / span >   tmp[b] = x[i, b];< / div >
< div class = "line" > < a name = "l00080" > < / a > < span class = "lineno" > 80< / span >   }< / div >
< div class = "line" > < a name = "l00081" > < / a > < span class = "lineno" > 81< / span >   model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6" > Add< / a > (< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html" > LinearExpr< / a > .< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db" > Sum< / a > (tmp) == items[i, 1]);< / div >
< div class = "line" > < a name = "l00082" > < / a > < span class = "lineno" > 82< / span >   }< / div >
< div class = "line" > < a name = "l00083" > < / a > < span class = "lineno" > 83< / span >   < / div >
< div class = "line" > < a name = "l00084" > < / a > < span class = "lineno" > 84< / span >   < span class = "comment" > // Links load and slack.< / span > < / div >
< div class = "line" > < a name = "l00085" > < / a > < span class = "lineno" > 85< / span >   < span class = "keywordtype" > int< / span > safe_capacity = bin_capacity - slack_capacity;< / div >
< div class = "line" > < a name = "l00086" > < / a > < span class = "lineno" > 86< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00087" > < / a > < span class = "lineno" > 87< / span >   {< / div >
< div class = "line" > < a name = "l00088" > < / a > < span class = "lineno" > 88< / span >   < span class = "comment" > // slack[b] => load[b] < = safe_capacity.< / span > < / div >
< div class = "line" > < a name = "l00089" > < / a > < span class = "lineno" > 89< / span >   model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6" > Add< / a > (load[b] < = safe_capacity).< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c" > OnlyEnforceIf< / a > (slacks[b]);< / div >
< div class = "line" > < a name = "l00090" > < / a > < span class = "lineno" > 90< / span >   < span class = "comment" > // not(slack[b]) => load[b] > safe_capacity.< / span > < / div >
< div class = "line" > < a name = "l00091" > < / a > < span class = "lineno" > 91< / span >   model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6" > Add< / a > (load[b] > safe_capacity).< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c" > OnlyEnforceIf< / a > (slacks[b].Not());< / div >
< div class = "line" > < a name = "l00092" > < / a > < span class = "lineno" > 92< / span >   }< / div >
< div class = "line" > < a name = "l00093" > < / a > < span class = "lineno" > 93< / span >   < / div >
< div class = "line" > < a name = "l00094" > < / a > < span class = "lineno" > 94< / span >   < span class = "comment" > // Maximize sum of slacks.< / span > < / div >
< div class = "line" > < a name = "l00095" > < / a > < span class = "lineno" > 95< / span >   model.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a805f92227144d43b30b5cd235e01591d" > Maximize< / a > (< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html" > LinearExpr< / a > .< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db" > Sum< / a > (slacks));< / div >
< div class = "line" > < a name = "l00096" > < / a > < span class = "lineno" > 96< / span >   < / div >
< div class = "line" > < a name = "l00097" > < / a > < span class = "lineno" > 97< / span >   < span class = "comment" > // Solves and prints out the solution.< / span > < / div >
< div class = "line" > < a name = "l00098" > < / a > < span class = "lineno" > 98< / span >   < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html" > CpSolver< / a > solver = < span class = "keyword" > new< / span > < a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html" > CpSolver< / a > ();< / div >
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< div class = "line" > < a name = "l00099" > < / a > < span class = "lineno" > 99< / span >   < a class = "code" href = "namespaceGoogle_1_1OrTools_1_1Sat.html#abd593c9e6d551c806d04abc386a505e8" > CpSolverStatus< / a > status = solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#abe80e94b5386fe6134ecf071aec60d2e" > Solve< / a > (model);< / div >
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< div class = "line" > < a name = "l00100" > < / a > < span class = "lineno" > 100< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " Solve status: {0}" < / span > , status));< / div >
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< div class = "line" > < a name = "l00101" > < / a > < span class = "lineno" > 101< / span >   < span class = "keywordflow" > if< / span > (status == < a class = "code" href = "namespaceGoogle_1_1OrTools_1_1Sat.html#abd593c9e6d551c806d04abc386a505e8" > CpSolverStatus< / a > .Optimal) {< / div >
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< div class = "line" > < a name = "l00102" > < / a > < span class = "lineno" > 102< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " Optimal objective value: {0}" < / span > ,< / div >
< div class = "line" > < a name = "l00103" > < / a > < span class = "lineno" > 103< / span >   solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ac19032d74d32aeb97d7517e36b518e8a" > ObjectiveValue< / a > ));< / div >
< div class = "line" > < a name = "l00104" > < / a > < span class = "lineno" > 104< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > b = 0; b < num_bins; ++b)< / div >
< div class = "line" > < a name = "l00105" > < / a > < span class = "lineno" > 105< / span >   {< / div >
< div class = "line" > < a name = "l00106" > < / a > < span class = "lineno" > 106< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " load_{0} = {1}" < / span > ,< / div >
< div class = "line" > < a name = "l00107" > < / a > < span class = "lineno" > 107< / span >   b, solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396" > Value< / a > (load[b])));< / div >
< div class = "line" > < a name = "l00108" > < / a > < span class = "lineno" > 108< / span >   < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_items; ++i)< / div >
< div class = "line" > < a name = "l00109" > < / a > < span class = "lineno" > 109< / span >   {< / div >
< div class = "line" > < a name = "l00110" > < / a > < span class = "lineno" > 110< / span >   Console.WriteLine(< span class = "keywordtype" > string< / span > .Format(< span class = "stringliteral" > " item_{0}_{1} = {2}" < / span > ,< / div >
< div class = "line" > < a name = "l00111" > < / a > < span class = "lineno" > 111< / span >   i, b, solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396" > Value< / a > (x[i, b])));< / div >
< div class = "line" > < a name = "l00112" > < / a > < span class = "lineno" > 112< / span >   }< / div >
< div class = "line" > < a name = "l00113" > < / a > < span class = "lineno" > 113< / span >   }< / div >
< div class = "line" > < a name = "l00114" > < / a > < span class = "lineno" > 114< / span >   }< / div >
< div class = "line" > < a name = "l00115" > < / a > < span class = "lineno" > 115< / span >   Console.WriteLine(< span class = "stringliteral" > " Statistics" < / span > );< / div >
< div class = "line" > < a name = "l00116" > < / a > < span class = "lineno" > 116< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " - conflicts : {0}" < / span > ,< / div >
< div class = "line" > < a name = "l00117" > < / a > < span class = "lineno" > 117< / span >   solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a6254824bb6c7d3e3ff01e1b77fb35fb0" > NumConflicts< / a > ()));< / div >
< div class = "line" > < a name = "l00118" > < / a > < span class = "lineno" > 118< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " - branches : {0}" < / span > ,< / div >
< div class = "line" > < a name = "l00119" > < / a > < span class = "lineno" > 119< / span >   solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#acc9edec6c1a967bba319c37f252d7bb9" > NumBranches< / a > ()));< / div >
< div class = "line" > < a name = "l00120" > < / a > < span class = "lineno" > 120< / span >   Console.WriteLine(String.Format(< span class = "stringliteral" > " - wall time : {0} s" < / span > ,< / div >
< div class = "line" > < a name = "l00121" > < / a > < span class = "lineno" > 121< / span >   solver.< a class = "code" href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a054f9e55bbf4743a577284bc7caa1904" > WallTime< / a > ()));< / div >
< div class = "line" > < a name = "l00122" > < / a > < span class = "lineno" > 122< / span >   }< / div >
< div class = "line" > < a name = "l00123" > < / a > < span class = "lineno" > 123< / span >   }< / div >
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< / div > <!-- fragment --> < / div > <!-- contents -->
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< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html" > Google.OrTools.Sat.CpModel< / a > < / div > < div class = "ttdoc" > Wrapper class around the cp_model proto.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8cs_source.html#l00023" > CpModel.cs:23< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1Constraint_html_a522f9914657da8db5752d617a695e57c" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c" > Google.OrTools.Sat.Constraint.OnlyEnforceIf< / a > < / div > < div class = "ttdeci" > void OnlyEnforceIf(ILiteral lit)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "Constraints_8cs_source.html#l00028" > Constraints.cs:28< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1IntVar_html" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html" > Google.OrTools.Sat.IntVar< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "IntegerExpressions_8cs_source.html#l00497" > IntegerExpressions.cs:497< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1LinearExpr_html_ad6377305c1e2b1c9e5c237173fa954db" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db" > Google.OrTools.Sat.LinearExpr.Sum< / a > < / div > < div class = "ttdeci" > static LinearExpr Sum(IEnumerable< IntVar > vars)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "IntegerExpressions_8cs_source.html#l00052" > IntegerExpressions.cs:52< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceGoogle_1_1OrTools_1_1Sat_html_abd593c9e6d551c806d04abc386a505e8" > < div class = "ttname" > < a href = "namespaceGoogle_1_1OrTools_1_1Sat.html#abd593c9e6d551c806d04abc386a505e8" > Google.OrTools.Sat.CpSolverStatus< / a > < / div > < div class = "ttdeci" > CpSolverStatus< / div > < div class = "ttdoc" > The status returned by a solver trying to solve a CpModelProto.< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8pb_8cs_source.html#l00184" > CpModel.pb.cs:184< / a > < / div > < / div >
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< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1LinearExpr_html_a831ac70e854e95eabab580d067dde974" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#a831ac70e854e95eabab580d067dde974" > Google.OrTools.Sat.LinearExpr.ScalProd< / a > < / div > < div class = "ttdeci" > static LinearExpr ScalProd(IEnumerable< IntVar > vars, IEnumerable< int > coeffs)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "IntegerExpressions_8cs_source.html#l00062" > IntegerExpressions.cs:62< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceGoogle_html" > < div class = "ttname" > < a href = "namespaceGoogle.html" > Google< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "KInt64Vector_8cs_source.html#l00011" > KInt64Vector.cs:11< / a > < / div > < / div >
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< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_a054f9e55bbf4743a577284bc7caa1904" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a054f9e55bbf4743a577284bc7caa1904" > Google.OrTools.Sat.CpSolver.WallTime< / a > < / div > < div class = "ttdeci" > double WallTime()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00183" > CpSolver.cs:183< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1LinearExpr_html" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html" > Google.OrTools.Sat.LinearExpr< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "IntegerExpressions_8cs_source.html#l00049" > IntegerExpressions.cs:49< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a8b4b0deaf8d98967ba3dd1e6cfd415f7" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7" > Google.OrTools.Sat.CpModel.NewIntVar< / a > < / div > < div class = "ttdeci" > IntVar NewIntVar(long lb, long ub, string name)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8cs_source.html#l00045" > CpModel.cs:45< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_aeae42d5e9a6a0fc4a0b12ed903c071a6" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6" > Google.OrTools.Sat.CpModel.Add< / a > < / div > < div class = "ttdeci" > Constraint Add(BoundedLinearExpression lin)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8cs_source.html#l00104" > CpModel.cs:104< / a > < / div > < / div >
< div class = "ttc" id = "aclassBinPackingProblemSat_html" > < div class = "ttname" > < a href = "classBinPackingProblemSat.html" > BinPackingProblemSat< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "BinPackingProblemSat_8cs_source.html#l00017" > BinPackingProblemSat.cs:17< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_acc9edec6c1a967bba319c37f252d7bb9" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#acc9edec6c1a967bba319c37f252d7bb9" > Google.OrTools.Sat.CpSolver.NumBranches< / a > < / div > < div class = "ttdeci" > long NumBranches()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00173" > CpSolver.cs:173< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_ac19032d74d32aeb97d7517e36b518e8a" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ac19032d74d32aeb97d7517e36b518e8a" > Google.OrTools.Sat.CpSolver.ObjectiveValue< / a > < / div > < div class = "ttdeci" > double ObjectiveValue< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00076" > CpSolver.cs:76< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_a6254824bb6c7d3e3ff01e1b77fb35fb0" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a6254824bb6c7d3e3ff01e1b77fb35fb0" > Google.OrTools.Sat.CpSolver.NumConflicts< / a > < / div > < div class = "ttdeci" > long NumConflicts()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00178" > CpSolver.cs:178< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_abe80e94b5386fe6134ecf071aec60d2e" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#abe80e94b5386fe6134ecf071aec60d2e" > Google.OrTools.Sat.CpSolver.Solve< / a > < / div > < div class = "ttdeci" > CpSolverStatus Solve(CpModel model)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00022" > CpSolver.cs:22< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceGoogle_1_1OrTools_html" > < div class = "ttname" > < a href = "namespaceGoogle_1_1OrTools.html" > Google.OrTools< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "KInt64Vector_8cs_source.html#l00011" > KInt64Vector.cs:11< / a > < / div > < / div >
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< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html" > Google.OrTools.Sat.CpSolver< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00019" > CpSolver.cs:19< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_a58c7ab0674a3f3f5a2b357e0d1b01396" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396" > Google.OrTools.Sat.CpSolver.Value< / a > < / div > < div class = "ttdeci" > long Value(LinearExpr e)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpSolver_8cs_source.html#l00096" > CpSolver.cs:96< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a805f92227144d43b30b5cd235e01591d" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a805f92227144d43b30b5cd235e01591d" > Google.OrTools.Sat.CpModel.Maximize< / a > < / div > < div class = "ttdeci" > void Maximize(LinearExpr obj)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8cs_source.html#l00593" > CpModel.cs:593< / a > < / div > < / div >
< div class = "ttc" id = "aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a1f984ad05d2bb0a8df1354e8330f7ad1" > < div class = "ttname" > < a href = "classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a1f984ad05d2bb0a8df1354e8330f7ad1" > Google.OrTools.Sat.CpModel.NewBoolVar< / a > < / div > < div class = "ttdeci" > IntVar NewBoolVar(string name)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8cs_source.html#l00067" > CpModel.cs:67< / a > < / div > < / div >
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< div class = "ttc" id = "anamespaceGoogle_1_1OrTools_1_1Sat_html" > < div class = "ttname" > < a href = "namespaceGoogle_1_1OrTools_1_1Sat.html" > Google.OrTools.Sat< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "CpModel_8pb_8cs_source.html#l00012" > CpModel.pb.cs:12< / a > < / div > < / div >
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