52 lines
1.6 KiB
C#
52 lines
1.6 KiB
C#
// Copyright 2010-2025 Google LLC
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// Finds a rectangle with maximum available area for given perimeter
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// using AddMultiplicationEquality
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using System;
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using Google.OrTools.Sat;
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public class NonLinearSat
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{
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public static void Main()
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{
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const int perimeter = 20;
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var model = new CpModel();
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var x = model.NewIntVar(0, perimeter, "x");
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var y = model.NewIntVar(0, perimeter, "y");
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model.Add(2 * (x + y) == perimeter);
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var area = model.NewIntVar(0, perimeter * perimeter, "s");
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model.AddMultiplicationEquality(area, x, y);
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model.Maximize(area);
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var solver = new CpSolver();
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var status = solver.Solve(model);
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if (status == CpSolverStatus.Optimal || status == CpSolverStatus.Feasible)
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{
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Console.WriteLine($"x = {solver.Value(x)}");
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Console.WriteLine($"y = {solver.Value(y)}");
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Console.WriteLine($"s = {solver.Value(area)}");
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}
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else
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Console.WriteLine("No solution found");
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}
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} |