// // 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.Collections.Generic; using System.Linq; using System.IO; using System.Text.RegularExpressions; using Google.OrTools.ConstraintSolver; public class WordSquare { /** * * Word square. * * From http://en.wikipedia.org/wiki/Word_square * """ * A word square is a special case of acrostic. It consists of a set of words, * all having the same number of letters as the total number of words (the * 'order' of the square); when the words are written out in a square grid * horizontally, the same set of words can be read vertically. * """ * * See http://www.hakank.org/or-tools/word_square.py * */ private static void Solve(String[] words, int word_len, int num_answers) { Solver solver = new Solver("WordSquare"); int num_words = words.Length; Console.WriteLine("num_words: " + num_words); int n = word_len; IEnumerable WORDLEN = Enumerable.Range(0, word_len); // // convert a character to integer // String alpha = "abcdefghijklmnopqrstuvwxyz"; Hashtable d = new Hashtable(); Hashtable rev = new Hashtable(); int count = 1; for(int a = 0; a < alpha.Length; a++) { d[alpha[a]] = count; rev[count] = a; count++; } int num_letters = alpha.Length; // // Decision variables // IntVar[,] A = solver.MakeIntVarMatrix(num_words, word_len, 0, num_letters, "A"); IntVar[] A_flat = A.Flatten(); IntVar[] E = solver.MakeIntVarArray(n, 0, num_words, "E"); // // Constraints // solver.Add(E.AllDifferent()); // copy the words to a matrix for(int i = 0; i < num_words; i++) { char[] s = words[i].ToArray(); foreach(int j in WORDLEN) { int t = (int)d[s[j]]; solver.Add(A[i,j] == t); } } foreach(int i in WORDLEN) { foreach(int j in WORDLEN) { solver.Add(A_flat.Element(E[i]*word_len+j) == A_flat.Element(E[j]*word_len+i)); } } // // Search // DecisionBuilder db = solver.MakePhase(E.Concat(A_flat).ToArray(), Solver.CHOOSE_FIRST_UNBOUND, Solver.ASSIGN_MIN_VALUE); solver.NewSearch(db); int num_sols = 0; while (solver.NextSolution()) { num_sols++; for(int i = 0; i < n; i++) { Console.WriteLine(words[E[i].Value()] + " "); } Console.WriteLine(); if (num_answers > 0 && num_sols >= num_answers) { break; } } 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(); } /* * * Read the words from a word list with a specific word length. * */ public static String[] ReadWords(String word_list, int word_len) { Console.WriteLine("ReadWords {0} {1}", word_list, word_len); List all_words = new List(); TextReader inr = new StreamReader(word_list); String str; int count = 0; Hashtable d = new Hashtable(); while ((str = inr.ReadLine()) != null) { str = str.Trim().ToLower(); // skip weird words if(Regex.Match(str, @"[^a-z]").Success || d.Contains(str) || str.Length == 0 || str.Length != word_len ) { continue; } d[str] = 1; all_words.Add(str); count++; } // end while inr.Close(); return all_words.ToArray(); } public static void Main(String[] args) { String word_list = "/usr/share/dict/words"; int word_len = 4; int num_answers = 20; if (args.Length > 0) { word_list = args[0]; } if (args.Length > 1) { word_len = Convert.ToInt32(args[1]); } if (args.Length > 2) { num_answers = Convert.ToInt32(args[2]); } String[] words = ReadWords(word_list, word_len); Solve(words, word_len, num_answers); } }