Map2.java

// Copyright 2011 Hakan Kjellerstrand hakank@gmail.com
// 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.
package com.google.ortools.contrib;

import com.google.ortools.Loader;
import com.google.ortools.constraintsolver.*;
import com.google.ortools.constraintsolver.DecisionBuilder;
import com.google.ortools.constraintsolver.IntVar;
import com.google.ortools.constraintsolver.Solver;
import java.io.*;
import java.text.*;
import java.util.*;

public class Map2 {
  /**
   * Solves a simple map coloring problem, take II. See http://www.hakank.org/google_or_tools/map.py
   */
  private static void solve() {
    Solver solver = new Solver("Map2");

    //
    // 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;

    int[][] neighbours = {{France, Belgium}, {France, Luxembourg}, {France, Germany},
        {Luxembourg, Germany}, {Luxembourg, Belgium}, {Belgium, Netherlands}, {Belgium, Germany},
        {Germany, Netherlands}, {Germany, Denmark}};

    //
    // Variables
    //
    IntVar[] color = solver.makeIntVarArray(n, 1, max_num_colors, "x");

    //
    // Constraints
    //
    for (int i = 0; i < neighbours.length; i++) {
      solver.addConstraint(
          solver.makeNonEquality(color[neighbours[i][0]], color[neighbours[i][1]]));
    }

    // Symmetry breaking
    solver.addConstraint(solver.makeEquality(color[Belgium], 1));

    //
    // Search
    //
    DecisionBuilder db =
        solver.makePhase(color, solver.CHOOSE_FIRST_UNBOUND, solver.ASSIGN_MIN_VALUE);
    solver.newSearch(db);

    while (solver.nextSolution()) {
      System.out.print("Colors: ");
      for (int i = 0; i < n; i++) {
        System.out.print(color[i].value() + " ");
      }
      System.out.println();
    }
    solver.endSearch();

    // Statistics
    System.out.println();
    System.out.println("Solutions: " + solver.solutions());
    System.out.println("Failures: " + solver.failures());
    System.out.println("Branches: " + solver.branches());
    System.out.println("Wall time: " + solver.wallTime() + "ms");
  }

  public static void main(String[] args) throws Exception {
    Loader.loadNativeLibraries();
    Map2.solve();
  }
}