examples/notebook/contrib/minesweeper.ipynb
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.
First, you must install ortools package in this colab.
%pip install ortools
Minesweeper in Google CP Solver.
From gecode/examples/minesweeper.cc: ''' A specification is a square matrix of characters. Alphanumeric characters represent the number of mines adjacent to that field. Dots represent fields with an unknown number of mines adjacent to it (or an actual mine). '''
E.g. '..2.3.' '2.....' '..24.3' '1.34..' '.....3' '.3.3..'
Also see:
Ian Stewart on Minesweeper: http://www.claymath.org/Popular_Lectures/Minesweeper/
Richard Kaye's Minesweeper Pages http://web.mat.bham.ac.uk/R.W.Kaye/minesw/minesw.htm
Some Minesweeper Configurations http://web.mat.bham.ac.uk/R.W.Kaye/minesw/minesw.pdf
Compare with the following models:
This model was created by Hakan Kjellerstrand ([email protected]) Also see my other Google CP Solver models: http://www.hakank.org/google_or_tools/
import sys
from ortools.constraint_solver import pywrapcp
default_r = 8
default_c = 8
X = -1
default_game = [[2, 3, X, 2, 2, X, 2, 1], [X, X, 4, X, X, 4, X, 2],
[X, X, X, X, X, X, 4, X], [X, 5, X, 6, X, X, X, 2],
[2, X, X, X, 5, 5, X, 2], [1, 3, 4, X, X, X, 4, X],
[0, 1, X, 4, X, X, X, 3], [0, 1, 2, X, 2, 3, X, 2]]
def main(game="", r="", c=""):
# Create the solver.
solver = pywrapcp.Solver("Minesweeper")
#
# data
#
# Set default problem
if game == "":
game = default_game
r = default_r
c = default_c
else:
print("rows:", r, " cols:", c)
#
# Default problem from "Some Minesweeper Configurations",page 3
# (same as problem instance minesweeper_config3.txt)
# It has 4 solutions
#
# r = 8
# c = 8
# X = -1
# game = [
# [2,3,X,2,2,X,2,1],
# [X,X,4,X,X,4,X,2],
# [X,X,X,X,X,X,4,X],
# [X,5,X,6,X,X,X,2],
# [2,X,X,X,5,5,X,2],
# [1,3,4,X,X,X,4,X],
# [0,1,X,4,X,X,X,3],
# [0,1,2,X,2,3,X,2]
# ]
S = [-1, 0, 1] # for the neighbors of "this" cell
# print problem instance
print("Problem:")
for i in range(r):
for j in range(c):
if game[i][j] == X:
print("X", end=" ")
else:
print(game[i][j], end=" ")
print()
print()
# declare variables
mines = {}
for i in range(r):
for j in range(c):
mines[(i, j)] = solver.IntVar(0, 1, "mines %i %i" % (i, j))
#
# constraints
#
for i in range(r):
for j in range(c):
if game[i][j] >= 0:
solver.Add(mines[i, j] == 0)
# this cell is the sum of all the surrounding cells
solver.Add(game[i][j] == solver.Sum([
mines[i + a, j + b]
for a in S
for b in S
if i + a >= 0 and j + b >= 0 and i + a < r and j + b < c
]))
if game[i][j] > X:
# This cell cannot be a mine
solver.Add(mines[i, j] == 0)
#
# solution and search
#
solution = solver.Assignment()
solution.Add([mines[(i, j)] for i in range(r) for j in range(c)])
collector = solver.AllSolutionCollector(solution)
solver.Solve(
solver.Phase([mines[(i, j)] for i in range(r) for j in range(c)],
solver.INT_VAR_SIMPLE, solver.ASSIGN_MIN_VALUE), [collector])
num_solutions = collector.SolutionCount()
print("num_solutions: ", num_solutions)
if num_solutions > 0:
for s in range(num_solutions):
minesval = [
collector.Value(s, mines[(i, j)]) for i in range(r) for j in range(c)
]
for i in range(r):
for j in range(c):
print(minesval[i * c + j], end=" ")
print()
print()
print()
print("num_solutions:", num_solutions)
print("failures:", solver.Failures())
print("branches:", solver.Branches())
print("WallTime:", solver.WallTime())
else:
print("No solutions found")
#
# Read a problem instance from a file
#
def read_problem(file):
f = open(file, "r")
rows = int(f.readline())
cols = int(f.readline())
game = []
for i in range(rows):
x = f.readline()
row = [0] * cols
for j in range(cols):
if x[j] == ".":
tmp = -1
else:
tmp = int(x[j])
row[j] = tmp
game.append(row)
return [game, rows, cols]
#
# Print the mines
#
def print_mines(mines, rows, cols):
for i in range(rows):
for j in range(cols):
print(mines[i, j], end=" ")
print("")
def print_game(game, rows, cols):
for i in range(rows):
for j in range(cols):
print(game[i][j], end=" ")
print("")
if len(sys.argv) > 1:
file = sys.argv[1]
print("Problem instance from", file)
[game, rows, cols] = read_problem(file)
# print_game(game, rows, cols)
main(game, rows, cols)
else:
main()