// // Copyright 2012 Hakan Kjellerstrand // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. using System; using Google.OrTools.ConstraintSolver; public class Map { /** * * Solves a simple map coloring problem. * * See http://www.hakank.org/google_or_tools/map.py * */ private static void Solve() { Solver solver = new Solver("Map"); // // data // int Belgium = 0; int Denmark = 1; int France = 2; int Germany = 3; int Netherlands = 4; int Luxembourg = 5; int n = 6; int max_num_colors = 4; // // Decision variables // IntVar[] color = solver.MakeIntVarArray(n, 1, max_num_colors, "color"); // // Constraints // solver.Add(color[France] != color[Belgium]); solver.Add(color[France] != color[Luxembourg]); solver.Add(color[France] != color[Germany]); solver.Add(color[Luxembourg] != color[Germany]); solver.Add(color[Luxembourg] != color[Belgium]); solver.Add(color[Belgium] != color[Netherlands]); solver.Add(color[Belgium] != color[Germany]); solver.Add(color[Germany] != color[Netherlands]); solver.Add(color[Germany] != color[Denmark]); // Symmetry breaking solver.Add(color[Belgium] == 1); // // Search // DecisionBuilder db = solver.MakePhase(color, Solver.CHOOSE_MIN_SIZE_LOWEST_MAX, Solver.ASSIGN_CENTER_VALUE); solver.NewSearch(db); while (solver.NextSolution()) { Console.Write("colors: "); for(int i = 0; i < n; i++) { Console.Write("{0} ", color[i].Value()); } Console.WriteLine(); } Console.WriteLine("\nSolutions: {0}", solver.Solutions()); Console.WriteLine("WallTime: {0} ms", solver.WallTime()); Console.WriteLine("Failures: {0}", solver.Failures()); Console.WriteLine("Branches: {0} ", solver.Branches()); solver.EndSearch(); } public static void Main(String[] args) { Solve(); } }