eq20.cs

//
// 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 Eq20
{
  /**
   *
   * Eq 20 in Google CP Solver.
   *
   * Standard benchmark problem.
   *
   * Also see http://hakank.org/or-tools/eq20.py
   *
   */
  private static void Solve()
  {
    Solver solver = new Solver("Eq20");

    int n = 7;

    //
    // Decision variables
    //
    IntVar X0 = solver.MakeIntVar(0, 10, "X0");
    IntVar X1 = solver.MakeIntVar(0, 10, "X1");
    IntVar X2 = solver.MakeIntVar(0, 10, "X2");
    IntVar X3 = solver.MakeIntVar(0, 10, "X3");
    IntVar X4 = solver.MakeIntVar(0, 10, "X4");
    IntVar X5 = solver.MakeIntVar(0, 10, "X5");
    IntVar X6 = solver.MakeIntVar(0, 10, "X6");

    IntVar[] X = {X0,X1,X2,X3,X4,X5,X6};


    //
    // Constraints
    //
    solver.Add(-76706*X0 + 98205*X1 + 23445*X2 + 67921*X3 + 24111*X4 +
               -48614*X5 + -41906*X6 == 821228);
    solver.Add(87059*X0 + -29101*X1 + -5513*X2 + -21219*X3 + 22128*X4 +
               7276*X5 + 57308*X6 == 22167);
    solver.Add(-60113*X0 + 29475*X1 + 34421*X2 + -76870*X3 + 62646*X4 +
               29278*X5 + -15212*X6 == 251591);
    solver.Add(49149*X0 + 52871*X1 + -7132*X2 + 56728*X3 + -33576*X4 +
               -49530*X5 + -62089*X6 == 146074);
    solver.Add(-10343*X0 + 87758*X1 + -11782*X2 + 19346*X3 + 70072*X4 +
               -36991*X5 + 44529*X6 == 740061);
    solver.Add(85176*X0 + -95332*X1 + -1268*X2 + 57898*X3 + 15883*X4 +
               50547*X5 + 83287*X6 == 373854);
    solver.Add(-85698*X0 + 29958*X1 + 57308*X2 + 48789*X3 + -78219*X4 +
               4657*X5 + 34539*X6 == 249912);
    solver.Add(-67456*X0 + 84750*X1 + -51553*X2 + 21239*X3 + 81675*X4 +
               -99395*X5 + -4254*X6 == 277271);
    solver.Add(94016*X0 + -82071*X1 + 35961*X2 + 66597*X3 + -30705*X4 +
               -44404*X5 + -38304*X6 == 25334);
    solver.Add(-60301*X0 + 31227*X1 + 93951*X2 + 73889*X3 + 81526*X4 +
               -72702*X5 + 68026*X6 == 1410723);
    solver.Add(-16835*X0 + 47385*X1 + 97715*X2 + -12640*X3 + 69028*X4 +
               76212*X5 + -81102*X6 == 1244857);
    solver.Add(-43277*X0 + 43525*X1 + 92298*X2 + 58630*X3 + 92590*X4 +
               -9372*X5 + -60227*X6 == 1503588);
    solver.Add(-64919*X0 + 80460*X1 + 90840*X2 + -59624*X3 + -75542*X4 +
               25145*X5 + -47935*X6 == 18465);
    solver.Add(-45086*X0 + 51830*X1 + -4578*X2 + 96120*X3 + 21231*X4 +
               97919*X5 + 65651*X6 == 1198280);
    solver.Add(85268*X0 + 54180*X1 + -18810*X2 + -48219*X3 + 6013*X4 +
               78169*X5 + -79785*X6 == 90614);
    solver.Add(8874*X0 + -58412*X1 + 73947*X2 + 17147*X3 + 62335*X4 +
               16005*X5 + 8632*X6 == 752447);
    solver.Add(71202*X0 + -11119*X1 + 73017*X2 + -38875*X3 + -14413*X4 +
               -29234*X5 + 72370*X6 == 129768);
    solver.Add(1671*X0 + -34121*X1 + 10763*X2 + 80609*X3 + 42532*X4 +
               93520*X5 + -33488*X6 == 915683);
    solver.Add(51637*X0 + 67761*X1 + 95951*X2 + 3834*X3 + -96722*X4 +
               59190*X5 + 15280*X6 == 533909);
    solver.Add(-16105*X0 + 62397*X1 + -6704*X2 + 43340*X3 + 95100*X4 +
               -68610*X5 + 58301*X6 == 876370);


    //
    // Search
    //
    DecisionBuilder db = solver.MakePhase(X,
                                          Solver.INT_VAR_DEFAULT,
                                          Solver.INT_VALUE_DEFAULT);

    solver.NewSearch(db);

    while (solver.NextSolution()) {
      for(int i = 0; i < n; i++) {
        Console.Write(X[i].ToString() + " ");
      }
      Console.WriteLine();
    }

    Console.WriteLine("\nSolutions: " + solver.Solutions());
    Console.WriteLine("WallTime: " + solver.WallTime() + "ms ");
    Console.WriteLine("Failures: " + solver.Failures());
    Console.WriteLine("Branches: " + solver.Branches());

    solver.EndSearch();

  }

  public static void Main(String[] args)
  {
    Solve();
  }
}