// // 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 System.Collections; using System.IO; using System.Linq; using System.Text.RegularExpressions; using Google.OrTools.ConstraintSolver; public class ARoundOfGolf { /** * * A Round of Golf puzzle (Dell Logic Puzzles) in Google CP Solver. * * From http://brownbuffalo.sourceforge.net/RoundOfGolfClues.html * """ * Title: A Round of Golf * Author: Ellen K. Rodehorst * Publication: Dell Favorite Logic Problems * Issue: Summer, 2000 * Puzzle #: 9 * Stars: 1 * * When the Sunny Hills Country Club golf course isn't in use by club members, * of course, it's open to the club's employees. Recently, Jack and three other * workers at the golf course got together on their day off to play a round of * eighteen holes of golf. * Afterward, all four, including Mr. Green, went to the clubhouse to total * their scorecards. Each man works at a different job (one is a short-order * cook), and each shot a different score in the game. No one scored below * 70 or above 85 strokes. From the clues below, can you discover each man's * full name, job and golf score? * * 1. Bill, who is not the maintenance man, plays golf often and had the lowest * score of the foursome. * 2. Mr. Clubb, who isn't Paul, hit several balls into the woods and scored ten * strokes more than the pro-shop clerk. * 3. In some order, Frank and the caddy scored four and seven more strokes than * Mr. Sands. * 4. Mr. Carter thought his score of 78 was one of his better games, even * though Frank's score was lower. * 5. None of the four scored exactly 81 strokes. * * Determine: First Name - Last Name - Job - Score * """ * * See http://www.hakank.org/google_or_tools/a_round_of_golf.py * */ private static void Solve() { Solver solver = new Solver("ARoundOfGolf"); // number of speakers int n = 4; int Jack = 0; int Bill = 1; int Paul = 2; int Frank = 3; // // Decision variables // IntVar[] last_name = solver.MakeIntVarArray(n, 0, n-1, "last_name"); // IntVar Green = last_name[0]; // not used IntVar Clubb = last_name[1]; IntVar Sands = last_name[2]; IntVar Carter = last_name[3]; IntVar[] job = solver.MakeIntVarArray(n, 0, n-1, "job"); // IntVar cook = job[0]; // not used IntVar maintenance_man = job[1]; IntVar clerk = job[2]; IntVar caddy = job[3]; IntVar[] score = solver.MakeIntVarArray(n, 70, 85, "score"); // for search IntVar[] all = new IntVar[n*3]; for(int i = 0; i < n; i++) { all[i] = last_name[i]; all[i+n] = job[i]; all[i+2*n] = score[i]; } // // Constraints // solver.Add(last_name.AllDifferent()); solver.Add(job.AllDifferent()); solver.Add(score.AllDifferent()); // 1. Bill, who is not the maintenance man, plays golf often and had // the lowest score of the foursome. solver.Add(maintenance_man != Bill); solver.Add(score[Bill] < score[Jack]); solver.Add(score[Bill] < score[Paul]); solver.Add(score[Bill] < score[Frank]); // 2. Mr. Clubb, who isn't Paul, hit several balls into the woods and // scored ten strokes more than the pro-shop clerk. solver.Add(Clubb != Paul); solver.Add(score.Element(Clubb) == score.Element(clerk) + 10); // 3. In some order, Frank and the caddy scored four and seven more // strokes than Mr. Sands. solver.Add(caddy != Frank); solver.Add(Sands != Frank); solver.Add(caddy != Sands); IntVar b3_a_1 = score.Element(Sands) + 4 == score[Frank]; IntVar b3_a_2 = score.Element(caddy) == score.Element(Sands) + 7; IntVar b3_b_1 = score.Element(Sands) + 7 == score[Frank]; IntVar b3_b_2 = score.Element(caddy) == score.Element(Sands) + 4; solver.Add( (b3_a_1*b3_a_2) + (b3_b_1*b3_b_2) == 1); // 4. Mr. Carter thought his score of 78 was one of his better games, // even though Frank's score was lower. solver.Add(Carter != Frank); solver.Add(score.Element(Carter) == 78); solver.Add(score[Frank] < score.Element(Carter)); // 5. None of the four scored exactly 81 strokes. for(int i = 0; i < n; i++) { solver.Add(score[i] != 81); } // // Search // DecisionBuilder db = solver.MakePhase(all, Solver.INT_VAR_DEFAULT, Solver.INT_VALUE_DEFAULT); solver.NewSearch(db); while (solver.NextSolution()) { Console.WriteLine( "Last name: " + String.Join(", ", (from i in last_name select i.Value().ToString()).ToArray())); Console.WriteLine( "Job : " + String.Join(", ", (from i in job select i.Value().ToString()).ToArray())); Console.WriteLine( "Score : " + String.Join(", ", (from i in score select i.Value().ToString()).ToArray())); } Console.WriteLine("\nSolutions: {0}", solver.Solutions()); Console.WriteLine("WallTime: {0}ms", solver.WallTime()); Console.WriteLine("Failures: {0}", solver.Failures()); Console.WriteLine("Branches: {0} ", solver.Branches()); solver.EndSearch(); } public static void Main(String[] args) { Solve(); } }