//
// 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 Eq10
{
  /**
   *
   * Eq 10 in Google CP Solver.
   *
   * Standard benchmark problem.
   *
   * Also see http://hakank.org/or-tools/eq10.py
   *
   */
  private static void Solve()
  {
    Solver solver = new Solver("Eq10");

    int n = 7;

    //
    // Decision variables
    //
    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 X7 = solver.MakeIntVar(0, 10, "X7");

    IntVar[] X = {X1,X2,X3,X4,X5,X6,X7};


    //
    // Constraints
    //
    solver.Add(0+98527*X1+34588*X2+5872*X3+59422*X5+65159*X7
               == 1547604+30704*X4+29649*X6);

    solver.Add(0+98957*X2+83634*X3+69966*X4+62038*X5+37164*X6+85413*X7
               == 1823553+93989*X1);

    solver.Add(900032+10949*X1+77761*X2+67052*X5
               == 0+80197*X3+61944*X4+92964*X6+44550*X7);

    solver.Add(0+73947*X1+84391*X3+81310*X5
               == 1164380+96253*X2+44247*X4+70582*X6+33054*X7);

    solver.Add(0+13057*X3+42253*X4+77527*X5+96552*X7
               == 1185471+60152*X1+21103*X2+97932*X6);

    solver.Add(1394152+66920*X1+55679*X4
               == 0+64234*X2+65337*X3+45581*X5+67707*X6+98038*X7);

    solver.Add(0+68550*X1+27886*X2+31716*X3+73597*X4+38835*X7
               == 279091+88963*X5+76391*X6);

    solver.Add(0+76132*X2+71860*X3+22770*X4+68211*X5+78587*X6
               == 480923+48224*X1+82817*X7);

    solver.Add(519878+94198*X2+87234*X3+37498*X4
               == 0+71583*X1+25728*X5+25495*X6+70023*X7);

    solver.Add(361921+78693*X1+38592*X5+38478*X6
               == 0+94129*X2+43188*X3+82528*X4+69025*X7);

    //
    // 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();
  }
}