// 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; 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(); } }