//
// 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();
}
}