//
// 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();
    }
}