// 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. package com.google.ortools.examples; import com.google.ortools.constraintsolver.DecisionBuilder; import com.google.ortools.constraintsolver.IntVar; import com.google.ortools.constraintsolver.Solver; import java.io.*; import java.text.*; import java.util.*; public class Crossword { static { System.loadLibrary("jniortools"); } /** Solving a simple crossword. See http://www.hakank.org/google_or_tools/crossword2.py */ private static void solve() { Solver solver = new Solver("Crossword"); // // data // String[] alpha = { "_", "a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z" }; int a = 1; int b = 2; int c = 3; int d = 4; int e = 5; int f = 6; int g = 7; int h = 8; int i = 9; int j = 10; int k = 11; int l = 12; int m = 13; int n = 14; int o = 15; int p = 16; int q = 17; int r = 18; int s = 19; int t = 20; int u = 21; int v = 22; int w = 23; int x = 24; int y = 25; int z = 26; int num_words = 15; int word_len = 5; int[][] AA = { {h, o, s, e, s}, // HOSES {l, a, s, e, r}, // LASER {s, a, i, l, s}, // SAILS {s, h, e, e, t}, // SHEET {s, t, e, e, r}, // STEER {h, e, e, l, 0}, // HEEL {h, i, k, e, 0}, // HIKE {k, e, e, l, 0}, // KEEL {k, n, o, t, 0}, // KNOT {l, i, n, e, 0}, // LINE {a, f, t, 0, 0}, // AFT {a, l, e, 0, 0}, // ALE {e, e, l, 0, 0}, // EEL {l, e, e, 0, 0}, // LEE {t, i, e, 0, 0} }; // TIE int num_overlapping = 12; int[][] overlapping = { {0, 2, 1, 0}, // s {0, 4, 2, 0}, // s {3, 1, 1, 2}, // i {3, 2, 4, 0}, // k {3, 3, 2, 2}, // e {6, 0, 1, 3}, // l {6, 1, 4, 1}, // e {6, 2, 2, 3}, // e {7, 0, 5, 1}, // l {7, 2, 1, 4}, // s {7, 3, 4, 2}, // e {7, 4, 2, 4} }; // r int N = 8; // // variables // IntVar[][] A = new IntVar[num_words][word_len]; IntVar[] A_flat = new IntVar[num_words * word_len]; // for labeling on A and E IntVar[] all = new IntVar[(num_words * word_len) + N]; for (int I = 0; I < num_words; I++) { for (int J = 0; J < word_len; J++) { A[I][J] = solver.makeIntVar(0, 26, "A[" + I + "," + J + "]"); A_flat[I * word_len + J] = A[I][J]; all[I * word_len + J] = A[I][J]; } } IntVar[] E = solver.makeIntVarArray(N, 0, num_words, "E"); for (int I = 0; I < N; I++) { all[num_words * word_len + I] = E[I]; } // // constraints // solver.addConstraint(solver.makeAllDifferent(E)); for (int I = 0; I < num_words; I++) { for (int J = 0; J < word_len; J++) { solver.addConstraint(solver.makeEquality(A[I][J], AA[I][J])); } } for (int I = 0; I < num_overlapping; I++) { solver.addConstraint( solver.makeEquality( solver .makeElement( A_flat, solver .makeSum( solver.makeProd(E[overlapping[I][0]], word_len).var(), overlapping[I][1]) .var()) .var(), solver .makeElement( A_flat, solver .makeSum( solver.makeProd(E[overlapping[I][2]], word_len).var(), overlapping[I][3]) .var()) .var())); } // // search // DecisionBuilder db = solver.makePhase(all, solver.INT_VAR_DEFAULT, solver.INT_VALUE_DEFAULT); solver.newSearch(db); // // output // while (solver.nextSolution()) { System.out.println("E:"); for (int ee = 0; ee < N; ee++) { int e_val = (int) E[ee].value(); System.out.print(ee + ": (" + e_val + ") "); for (int ii = 0; ii < word_len; ii++) { System.out.print(alpha[(int) A[ee][ii].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"); } public static void main(String[] args) throws Exception { Crossword.solve(); } }