134 lines
3.4 KiB
C#
134 lines
3.4 KiB
C#
//
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// Copyright 2012 Hakan Kjellerstrand
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//
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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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using System;
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using System.Collections;
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using System.IO;
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using System.Linq;
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using System.Text.RegularExpressions;
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using Google.OrTools.ConstraintSolver;
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public class Strimko2
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{
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/**
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*
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* Solves a Strimko problem.
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* See http://www.hakank.org/google_or_tools/strimko2.py
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*
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*/
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private static void Solve()
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{
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Solver solver = new Solver("Strimko2");
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//
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// data
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//
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int[,] streams = {{1,1,2,2,2,2,2},
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{1,1,2,3,3,3,2},
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{1,4,1,3,3,5,5},
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{4,4,3,1,3,5,5},
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{4,6,6,6,7,7,5},
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{6,4,6,4,5,5,7},
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{6,6,4,7,7,7,7}};
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// Note: This is 1-based
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int[,] placed = {{2,1,1},
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{2,3,7},
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{2,5,6},
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{2,7,4},
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{3,2,7},
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{3,6,1},
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{4,1,4},
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{4,7,5},
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{5,2,2},
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{5,6,6}};
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int n = streams.GetLength(0);
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int num_placed = placed.GetLength(0);
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//
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// Decision variables
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//
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IntVar[,] x = solver.MakeIntVarMatrix(n, n, 1, n, "x");
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IntVar[] x_flat = x.Flatten();
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//
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// Constraints
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//
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// all rows and columns must be unique, i.e. a Latin Square
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for(int i = 0; i < n; i++) {
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IntVar[] row = new IntVar[n];
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IntVar[] col = new IntVar[n];
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for(int j = 0; j < n; j++) {
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row[j] = x[i,j];
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col[j] = x[j,i];
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}
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solver.Add(row.AllDifferent());
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solver.Add(col.AllDifferent());
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}
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// streams
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for(int s = 1; s <= n; s++) {
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IntVar[] tmp = (from i in Enumerable.Range(0, n)
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from j in Enumerable.Range(0, n)
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where streams[i,j] == s
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select x[i,j]).ToArray();
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solver.Add(tmp.AllDifferent());
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}
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// placed
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for(int i = 0; i < num_placed; i++) {
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// note: also adjust to 0-based
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solver.Add(x[placed[i,0] - 1,placed[i,1] - 1] == placed[i,2]);
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}
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//
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// Search
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//
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DecisionBuilder db = solver.MakePhase(x_flat,
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Solver.INT_VAR_DEFAULT,
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Solver.INT_VALUE_DEFAULT);
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solver.NewSearch(db);
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while (solver.NextSolution()) {
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for(int i = 0; i < n; i++) {
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for(int j = 0; j < n; j++) {
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Console.Write(x[i,j].Value() + " ");
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}
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Console.WriteLine();
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}
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Console.WriteLine();
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}
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Console.WriteLine("\nSolutions: {0}", solver.Solutions());
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Console.WriteLine("WallTime: {0}ms", solver.WallTime());
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Console.WriteLine("Failures: {0}", solver.Failures());
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Console.WriteLine("Branches: {0} ", solver.Branches());
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solver.EndSearch();
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}
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public static void Main(String[] args)
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{
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Solve();
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}
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}
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