203 lines
5.2 KiB
Python
203 lines
5.2 KiB
Python
# Copyright 2010 Hakan Kjellerstrand hakank@gmail.com
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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"""
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Crosswords in Google CP Solver.
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This is a standard example for constraint logic programming. See e.g.
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http://www.cis.temple.edu/~ingargio/cis587/readings/constraints.html
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'''
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We are to complete the puzzle
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1 2 3 4 5
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+---+---+---+---+---+ Given the list of words:
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1 | 1 | | 2 | | 3 | AFT LASER
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+---+---+---+---+---+ ALE LEE
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2 | # | # | | # | | EEL LINE
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+---+---+---+---+---+ HEEL SAILS
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3 | # | 4 | | 5 | | HIKE SHEET
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+---+---+---+---+---+ HOSES STEER
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4 | 6 | # | 7 | | | KEEL TIE
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+---+---+---+---+---+ KNOT
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5 | 8 | | | | |
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+---+---+---+---+---+
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6 | | # | # | | # | The numbers 1,2,3,4,5,6,7,8 in the crossword
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+---+---+---+---+---+ puzzle correspond to the words
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that will start at those locations.
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'''
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The model was inspired by Sebastian Brand's Array Constraint cross word
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example
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http://www.cs.mu.oz.au/~sbrand/project/ac/
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http://www.cs.mu.oz.au/~sbrand/project/ac/examples.pl
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Also, see the following models:
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* MiniZinc: http://www.hakank.org/minizinc/crossword.mzn
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* Comet: http://www.hakank.org/comet/crossword.co
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* ECLiPSe: http://hakank.org/eclipse/crossword2.ecl
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* Gecode: http://hakank.org/gecode/crossword2.cpp
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* SICStus: http://hakank.org/sicstus/crossword2.pl
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* Zinc: http://hakank.org/minizinc/crossword2.zinc
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This model was created by Hakan Kjellerstrand (hakank@gmail.com)
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Also see my other Google CP Solver models:
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http://www.hakank.org/google_or_tools/
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"""
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from __future__ import print_function
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from ortools.constraint_solver import pywrapcp
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def main():
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# Create the solver.
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solver = pywrapcp.Solver("Problem")
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#
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# data
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#
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alpha = "_abcdefghijklmnopqrstuvwxyz"
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a = 1
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b = 2
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c = 3
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d = 4
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e = 5
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f = 6
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g = 7
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h = 8
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i = 9
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j = 10
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k = 11
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l = 12
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m = 13
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n = 14
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o = 15
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p = 16
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q = 17
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r = 18
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s = 19
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t = 20
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u = 21
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v = 22
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w = 23
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x = 24
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y = 25
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z = 26
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num_words = 15
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word_len = 5
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AA = [
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[h, o, s, e, s], # HOSES
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[l, a, s, e, r], # LASER
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[s, a, i, l, s], # SAILS
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[s, h, e, e, t], # SHEET
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[s, t, e, e, r], # STEER
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[h, e, e, l, 0], # HEEL
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[h, i, k, e, 0], # HIKE
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[k, e, e, l, 0], # KEEL
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[k, n, o, t, 0], # KNOT
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[l, i, n, e, 0], # LINE
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[a, f, t, 0, 0], # AFT
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[a, l, e, 0, 0], # ALE
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[e, e, l, 0, 0], # EEL
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[l, e, e, 0, 0], # LEE
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[t, i, e, 0, 0] # TIE
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]
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num_overlapping = 12
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overlapping = [
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[0, 2, 1, 0], # s
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[0, 4, 2, 0], # s
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[3, 1, 1, 2], # i
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[3, 2, 4, 0], # k
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[3, 3, 2, 2], # e
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[6, 0, 1, 3], # l
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[6, 1, 4, 1], # e
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[6, 2, 2, 3], # e
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[7, 0, 5, 1], # l
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[7, 2, 1, 4], # s
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[7, 3, 4, 2], # e
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[7, 4, 2, 4] # r
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]
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n = 8
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# declare variables
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A = {}
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for I in range(num_words):
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for J in range(word_len):
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A[(I, J)] = solver.IntVar(0, 26, "A(%i,%i)" % (I, J))
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A_flat = [A[(I, J)] for I in range(num_words) for J in range(word_len)]
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E = [solver.IntVar(0, num_words, "E%i" % I) for I in range(n)]
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#
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# constraints
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#
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solver.Add(solver.AllDifferent(E))
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for I in range(num_words):
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for J in range(word_len):
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solver.Add(A[(I, J)] == AA[I][J])
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for I in range(num_overlapping):
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# This is what I would do:
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# solver.Add(A[(E[overlapping[I][0]], overlapping[I][1])] == A[(E[overlapping[I][2]], overlapping[I][3])])
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# But we must use Element explicitly
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solver.Add(
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solver.Element(
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A_flat, E[overlapping[I][0]] * word_len + overlapping[I][1]) ==
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solver.Element(
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A_flat, E[overlapping[I][2]] * word_len + overlapping[I][3]))
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#
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# solution and search
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#
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solution = solver.Assignment()
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solution.Add(E)
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# db: DecisionBuilder
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db = solver.Phase(E + A_flat,
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solver.INT_VAR_SIMPLE,
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solver.ASSIGN_MIN_VALUE)
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solver.NewSearch(db)
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num_solutions = 0
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while solver.NextSolution():
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print(E)
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print_solution(A, E, alpha, n, word_len)
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num_solutions += 1
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solver.EndSearch()
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print()
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print("num_solutions:", num_solutions)
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print("failures:", solver.Failures())
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print("branches:", solver.Branches())
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print("WallTime:", solver.WallTime())
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def print_solution(A, E, alpha, n, word_len):
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for ee in range(n):
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print("%i: (%2i)" % (ee, E[ee].Value()), end=' ')
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print("".join(["%s" % (alpha[A[ee, ii].Value()]) for ii in range(word_len)]))
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if __name__ == "__main__":
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main()
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