// Copyright 2011 Hakan Kjellerstrand hakank@gmail.com // 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. import java.io.*; import java.util.*; import java.text.*; import com.google.ortools.constraintsolver.DecisionBuilder; import com.google.ortools.constraintsolver.IntVar; import com.google.ortools.constraintsolver.Solver; import com.google.ortools.constraintsolver.*; public class Minesweeper { static { System.loadLibrary("jniortools"); } static int X = -1; // // Default problem. // It has 4 solutions. // static int default_r = 8; static int default_c = 8; static int[][] default_game = {{2, 3, X, 2, 2, X, 2, 1}, {X, X, 4, X, X, 4, X, 2}, {X, X, X, X, X, X, 4, X}, {X, 5, X, 6, X, X, X, 2}, {2, X, X, X, 5, 5, X, 2}, {1, 3, 4, X, X, X, 4, X}, {0, 1, X, 4, X, X, X, 3}, {0, 1, 2, X, 2, 3, X, 2}}; // for the actual problem static int r; static int c; static int[][] game; /** * * Solves the Minesweeper problems. * See http://www.hakank.org/google_or_tools/minesweeper.py * */ private static void solve() { Solver solver = new Solver("Minesweeper"); int[] S = {-1, 0, 1}; // // data // System.out.println("Problem:"); for(int i = 0; i < r; i++) { for(int j = 0; j < c; j++) { if (game[i][j] > X) { System.out.print(game[i][j] + " "); } else { System.out.print("X "); } } System.out.println(); } System.out.println(); // // Variables // IntVar[][] mines = new IntVar[r][c]; IntVar[] mines_flat = new IntVar[r * c]; // for branching for(int i = 0; i < r; i++) { for(int j = 0; j < c; j++) { mines[i][j] = solver.makeIntVar(0, 1, "mines[" + i + ", " + j + "]"); mines_flat[i * c + j] = mines[i][j]; } } // // Constraints // for(int i = 0; i < r; i++) { for(int j = 0; j < c; j++) { if (game[i][j] >= 0) { solver.addConstraint( solver.makeEquality(mines[i][j], 0)); // this cell is the sum of all its neighbours ArrayList neighbours = new ArrayList(); for(int a: S) { for(int b: S) { if (i + a >= 0 && j + b >= 0 && i + a < r && j + b < c) { neighbours.add(mines[i + a][j + b]); } } } solver.addConstraint( solver.makeSumEquality( neighbours.toArray(new IntVar[1]), game[i][j])); } if (game[i][j] > X) { // This cell cannot be a mine since it // has some value assigned to it solver.addConstraint( solver.makeEquality(mines[i][j], 0)); } } } // // Search // DecisionBuilder db = solver.makePhase(mines_flat, solver.INT_VAR_SIMPLE, solver.ASSIGN_MIN_VALUE); solver.newSearch(db); int sol = 0; while (solver.nextSolution()) { sol++; System.out.println("Solution #" + sol + ":"); for(int i = 0; i < r; i++) { for(int j = 0; j < c; j++) { System.out.print(mines[i][j].value() + " "); } System.out.println(); } System.out.println(); } solver.endSearch(); // Statistics System.out.println(); System.out.println("Solutions: " + solver.solutions()); System.out.println("Failures: " + solver.failures()); System.out.println("Branches: " + solver.branches()); System.out.println("Wall time: " + solver.wallTime() + "ms"); } /** * * Reads a minesweeper file. * File format: * # a comment which is ignored * % a comment which also is ignored * number of rows * number of columns * < * row number of neighbours lines... * > * * 0..8 means number of neighbours, "." mean unknown (may be a mine) * * Example (from minesweeper0.txt) * # Problem from Gecode/examples/minesweeper.cc problem 0 * 6 * 6 * ..2.3. * 2..... * ..24.3 * 1.34.. * .....3 * .3.3.. * */ private static void readFile(String file) { System.out.println("readFile(" + file + ")"); int lineCount = 0; try { BufferedReader inr = new BufferedReader(new FileReader(file)); String str; while ((str = inr.readLine()) != null && str.length() > 0) { str = str.trim(); // ignore comments if(str.startsWith("#") || str.startsWith("%")) { continue; } System.out.println(str); if (lineCount == 0) { r = Integer.parseInt(str); // number of rows } else if (lineCount == 1) { c = Integer.parseInt(str); // number of columns game = new int[r][c]; } else { // the problem matrix String row[] = str.split(""); for(int j = 1; j <= c; j++) { String s = row[j]; if (s.equals(".")) { game[lineCount-2][j-1] = -1; } else { game[lineCount-2][j-1] = Integer.parseInt(s); } } } lineCount++; } // end while inr.close(); } catch (IOException e) { System.out.println(e); } } // end readFile public static void main(String[] args) throws Exception { String file = ""; if (args.length > 0) { file = args[0]; Minesweeper.readFile(file); } else { game = default_game; r = default_r; c = default_c; } Minesweeper.solve(); } }