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ortools-clone/examples/notebook/contrib/crossword2.ipynb
Mizux Seiha eded2608ac Update notebooks
2020-11-18 11:44:51 +01:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Copyright 2020 Google LLC."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"you may not use this file except in compliance with the License.\n",
"You may obtain a copy of the License at\n",
"\n",
" http://www.apache.org/licenses/LICENSE-2.0\n",
"\n",
"Unless required by applicable law or agreed to in writing, software\n",
"distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"See the License for the specific language governing permissions and\n",
"limitations under the License.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# crossword2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<table align=\"left\">\n",
"<td>\n",
"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/master/examples/notebook/contrib/crossword2.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
"</td>\n",
"<td>\n",
"<a href=\"https://github.com/google/or-tools/blob/master/examples/contrib/crossword2.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/github_32px.png\"/>View source on GitHub</a>\n",
"</td>\n",
"</table>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install ortools"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Copyright 2010 Hakan Kjellerstrand hakank@gmail.com\n",
"#\n",
"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
"#\n",
"# http://www.apache.org/licenses/LICENSE-2.0\n",
"#\n",
"# Unless required by applicable law or agreed to in writing, software\n",
"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"# See the License for the specific language governing permissions and\n",
"# limitations under the License.\n",
"\"\"\"\n",
"\n",
" Crosswords in Google CP Solver.\n",
"\n",
" This is a standard example for constraint logic programming. See e.g.\n",
"\n",
" http://www.cis.temple.edu/~ingargio/cis587/readings/constraints.html\n",
" '''\n",
" We are to complete the puzzle\n",
"\n",
" 1 2 3 4 5\n",
" +---+---+---+---+---+ Given the list of words:\n",
" 1 | 1 | | 2 | | 3 | AFT LASER\n",
" +---+---+---+---+---+ ALE LEE\n",
" 2 | # | # | | # | | EEL LINE\n",
" +---+---+---+---+---+ HEEL SAILS\n",
" 3 | # | 4 | | 5 | | HIKE SHEET\n",
" +---+---+---+---+---+ HOSES STEER\n",
" 4 | 6 | # | 7 | | | KEEL TIE\n",
" +---+---+---+---+---+ KNOT\n",
" 5 | 8 | | | | |\n",
" +---+---+---+---+---+\n",
" 6 | | # | # | | # | The numbers 1,2,3,4,5,6,7,8 in the crossword\n",
" +---+---+---+---+---+ puzzle correspond to the words\n",
" that will start at those locations.\n",
" '''\n",
"\n",
" The model was inspired by Sebastian Brand's Array Constraint cross word\n",
" example\n",
" http://www.cs.mu.oz.au/~sbrand/project/ac/\n",
" http://www.cs.mu.oz.au/~sbrand/project/ac/examples.pl\n",
"\n",
"\n",
" Also, see the following models:\n",
" * MiniZinc: http://www.hakank.org/minizinc/crossword.mzn\n",
" * Comet: http://www.hakank.org/comet/crossword.co\n",
" * ECLiPSe: http://hakank.org/eclipse/crossword2.ecl\n",
" * Gecode: http://hakank.org/gecode/crossword2.cpp\n",
" * SICStus: http://hakank.org/sicstus/crossword2.pl\n",
" * Zinc: http://hakank.org/minizinc/crossword2.zinc\n",
"\n",
" This model was created by Hakan Kjellerstrand (hakank@gmail.com)\n",
" Also see my other Google CP Solver models:\n",
" http://www.hakank.org/google_or_tools/\n",
"\"\"\"\n",
"from __future__ import print_function\n",
"from ortools.constraint_solver import pywrapcp\n",
"\n",
"\n",
"# Create the solver.\n",
"solver = pywrapcp.Solver(\"Problem\")\n",
"\n",
"#\n",
"# data\n",
"#\n",
"alpha = \"_abcdefghijklmnopqrstuvwxyz\"\n",
"a = 1\n",
"b = 2\n",
"c = 3\n",
"d = 4\n",
"e = 5\n",
"f = 6\n",
"g = 7\n",
"h = 8\n",
"i = 9\n",
"j = 10\n",
"k = 11\n",
"l = 12\n",
"m = 13\n",
"n = 14\n",
"o = 15\n",
"p = 16\n",
"q = 17\n",
"r = 18\n",
"s = 19\n",
"t = 20\n",
"u = 21\n",
"v = 22\n",
"w = 23\n",
"x = 24\n",
"y = 25\n",
"z = 26\n",
"\n",
"num_words = 15\n",
"word_len = 5\n",
"AA = [\n",
" [h, o, s, e, s], # HOSES\n",
" [l, a, s, e, r], # LASER\n",
" [s, a, i, l, s], # SAILS\n",
" [s, h, e, e, t], # SHEET\n",
" [s, t, e, e, r], # STEER\n",
" [h, e, e, l, 0], # HEEL\n",
" [h, i, k, e, 0], # HIKE\n",
" [k, e, e, l, 0], # KEEL\n",
" [k, n, o, t, 0], # KNOT\n",
" [l, i, n, e, 0], # LINE\n",
" [a, f, t, 0, 0], # AFT\n",
" [a, l, e, 0, 0], # ALE\n",
" [e, e, l, 0, 0], # EEL\n",
" [l, e, e, 0, 0], # LEE\n",
" [t, i, e, 0, 0] # TIE\n",
"]\n",
"\n",
"num_overlapping = 12\n",
"overlapping = [\n",
" [0, 2, 1, 0], # s\n",
" [0, 4, 2, 0], # s\n",
" [3, 1, 1, 2], # i\n",
" [3, 2, 4, 0], # k\n",
" [3, 3, 2, 2], # e\n",
" [6, 0, 1, 3], # l\n",
" [6, 1, 4, 1], # e\n",
" [6, 2, 2, 3], # e\n",
" [7, 0, 5, 1], # l\n",
" [7, 2, 1, 4], # s\n",
" [7, 3, 4, 2], # e\n",
" [7, 4, 2, 4] # r\n",
"]\n",
"\n",
"n = 8\n",
"\n",
"# declare variables\n",
"A = {}\n",
"for I in range(num_words):\n",
" for J in range(word_len):\n",
" A[(I, J)] = solver.IntVar(0, 26, \"A(%i,%i)\" % (I, J))\n",
"\n",
"A_flat = [A[(I, J)] for I in range(num_words) for J in range(word_len)]\n",
"E = [solver.IntVar(0, num_words, \"E%i\" % I) for I in range(n)]\n",
"\n",
"#\n",
"# constraints\n",
"#\n",
"solver.Add(solver.AllDifferent(E))\n",
"\n",
"for I in range(num_words):\n",
" for J in range(word_len):\n",
" solver.Add(A[(I, J)] == AA[I][J])\n",
"\n",
"for I in range(num_overlapping):\n",
" # This is what I would do:\n",
" # solver.Add(A[(E[overlapping[I][0]], overlapping[I][1])] == A[(E[overlapping[I][2]], overlapping[I][3])])\n",
"\n",
" # But we must use Element explicitly\n",
" solver.Add(\n",
" solver.Element(A_flat, E[overlapping[I][0]] * word_len +\n",
" overlapping[I][1]) == solver\n",
" .Element(A_flat, E[overlapping[I][2]] * word_len + overlapping[I][3]))\n",
"\n",
"#\n",
"# solution and search\n",
"#\n",
"solution = solver.Assignment()\n",
"solution.Add(E)\n",
"\n",
"# db: DecisionBuilder\n",
"db = solver.Phase(E + A_flat, solver.INT_VAR_SIMPLE, solver.ASSIGN_MIN_VALUE)\n",
"\n",
"solver.NewSearch(db)\n",
"num_solutions = 0\n",
"while solver.NextSolution():\n",
" print(E)\n",
" print_solution(A, E, alpha, n, word_len)\n",
" num_solutions += 1\n",
"solver.EndSearch()\n",
"\n",
"print()\n",
"print(\"num_solutions:\", num_solutions)\n",
"print(\"failures:\", solver.Failures())\n",
"print(\"branches:\", solver.Branches())\n",
"print(\"WallTime:\", solver.WallTime())\n",
"\n",
"def print_solution(A, E, alpha, n, word_len):\n",
" for ee in range(n):\n",
" print(\"%i: (%2i)\" % (ee, E[ee].Value()), end=\" \")\n",
" print(\"\".join(\n",
" [\"%s\" % (alpha[A[ee, ii].Value()]) for ii in range(word_len)]))\n",
"\n",
"\n"
]
}
],
"metadata": {},
"nbformat": 4,
"nbformat_minor": 4
}
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