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minesweeper.py
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import itertools
import random
class Minesweeper():
"""
Minesweeper game representation
"""
def __init__(self, height=8, width=8, mines=8):
# Set initial width, height, and number of mines
self.height = height
self.width = width
self.mines = set()
# Initialize an empty field with no mines
self.board = []
for i in range(self.height):
row = []
for j in range(self.width):
row.append(False)
self.board.append(row)
# Add mines randomly
while len(self.mines) != mines:
i = random.randrange(height)
j = random.randrange(width)
if not self.board[i][j]:
self.mines.add((i, j))
self.board[i][j] = True
# At first, player has found no mines
self.mines_found = set()
def print(self):
"""
Prints a text-based representation
of where mines are located.
"""
for i in range(self.height):
print("--" * self.width + "-")
for j in range(self.width):
if self.board[i][j]:
print("|X", end="")
else:
print("| ", end="")
print("|")
print("--" * self.width + "-")
def is_mine(self, cell):
i, j = cell
return self.board[i][j]
def nearby_mines(self, cell):
"""
Returns the number of mines that are
within one row and column of a given cell,
not including the cell itself.
"""
# Keep count of nearby mines
count = 0
# Loop over all cells within one row and column
for i in range(cell[0] - 1, cell[0] + 2):
for j in range(cell[1] - 1, cell[1] + 2):
# Ignore the cell itself
if (i, j) == cell:
continue
# Update count if cell in bounds and is mine
if 0 <= i < self.height and 0 <= j < self.width:
if self.board[i][j]:
count += 1
return count
def won(self):
"""
Checks if all mines have been flagged.
"""
return self.mines_found == self.mines
class Sentence():
"""
Logical statement about a Minesweeper game
A sentence consists of a set of board cells,
and a count of the number of those cells which are mines.
"""
def __init__(self, cells, count):
self.cells = set(cells,)
self.count = count
def __eq__(self, other):
return self.cells == other.cells and self.count == other.count
def __str__(self):
return f"{self.cells} = {self.count}"
def known_mines(self):
"""
Returns the set of all cells in self.cells known to be mines.
"""
return self.cells.intersection(MinesweeperAI.mines)
def known_safes(self):
"""
Returns the set of all cells in self.cells known to be safe.
"""
return self.cells.intersection(MinesweeperAI.safes)
def mark_mine(self, cell):
"""
Updates internal knowledge representation given the fact that
a cell is known to be a mine.
"""
# should first check to see if cell is one of the cells included in the sentence.
# If cell is not in the sentence, then no action is necessary.
if cell not in self.cells:
return
# update the sentence so that cell is no longer in the sentence
self.cells.remove(cell)
self.count -= 1
def mark_safe(self, cell):
"""
Updates internal knowledge representation given the fact that
a cell is known to be safe.
"""
# should first check to see if cell is one of the cells included in the sentence.
# If cell is not in the sentence, then no action is necessary.
if cell not in self.cells:
return
# update the sentence so that cell is no longer in the sentence
self.cells.remove(cell)
class MinesweeperAI():
"""
Minesweeper game player
"""
def __init__(self, height=8, width=8):
# Set initial height and width
self.height = height
self.width = width
# Keep track of which cells have been clicked on
self.moves_made = set()
# Keep track of cells known to be safe or mines
self.mines = set()
self.safes = set()
# List of sentences about the game known to be true
self.knowledge = []
def mark_mine(self, cell):
"""
Marks a cell as a mine, and updates all knowledge
to mark that cell as a mine as well.
"""
self.mines.add(cell)
for sentence in self.knowledge:
sentence.mark_mine(cell)
def mark_safe(self, cell):
"""
Marks a cell as safe, and updates all knowledge
to mark that cell as safe as well.
"""
self.safes.add(cell)
for sentence in self.knowledge:
sentence.mark_safe(cell)
def add_knowledge(self, cell, count):
"""
Called after we know the cell is safe
Called when the Minesweeper board tells us, for a given
safe cell, how many neighboring cells have mines in them.
cell (represented as a tuple (i, j))
"""
# This function should:
# 1) mark the cell as a move that has been made
self.moves_made.add(cell)
# 2) mark the cell as safe
self.mark_safe(cell)
# 3) add a new sentence to the AI's knowledge base
# based on the value of `cell` and `count`
# self.knowledge.append(Sentence(cell, count))
surrounding_cells = self.surrounding_cells(cell)
# if amount = len(surrounding_cells), loop through and self.mark_mine
if len(surrounding_cells) == count:
for surrounding_cell in surrounding_cells:
self.mark_mine(surrounding_cell)
# if count = 0, surrounding cells are safe
if count == 0:
for surrounding_cell in surrounding_cells:
self.mark_safe(surrounding_cell)
# How many surrounding cells are discovered and safe
discovered_surrounding_safe_cells = self.safes.intersection(surrounding_cells)
# How many cells do we know are mines
discovered_surrounding_mine_cells = self.mines.intersection(surrounding_cells)
# How many cells do we not know
undiscovered_surrounding_cells = surrounding_cells - discovered_surrounding_safe_cells - discovered_surrounding_mine_cells
undiscovered_surrounding_mines_count = count - len(discovered_surrounding_mine_cells)
# 4) mark any additional cells as safe or as mines
# if it can be concluded based on the AI's knowledge base
if (len(undiscovered_surrounding_cells) > 0 and undiscovered_surrounding_mines_count > 0):
if len(undiscovered_surrounding_cells) == undiscovered_surrounding_mines_count:
# all are mines
for undiscovered_surrounding_cell in undiscovered_surrounding_cells:
self.mark_mine(undiscovered_surrounding_cell)
else:
self.knowledge.append(Sentence(undiscovered_surrounding_cells, undiscovered_surrounding_mines_count))
# 5) add any new sentences to the AI's knowledge base
# if they can be inferred from existing knowledge
self.consolidate_cells()
def make_safe_move(self):
"""
Returns a safe cell to choose on the Minesweeper board.
The move must be known to be safe, and not already a move
that has been made.
This function may use the knowledge in self.mines, self.safes
and self.moves_made, but should not modify any of those values.
"""
# known safe cells not in moves_made
safe_unmade_moves = self.safes.difference(self.moves_made)
if len(safe_unmade_moves):
safe_unmade_move = safe_unmade_moves.pop()
return safe_unmade_move
return None
def make_random_move(self):
"""
Returns a move to make on the Minesweeper board.
Should choose randomly among cells that:
1) have not already been chosen, and
2) are not known to be mines
* 3) not already picked
"""
undiscovered_cells = list(self.get_undiscovered_cells())
undiscovered_cells = list(filter(lambda x: x not in self.mines, undiscovered_cells))
if len(undiscovered_cells) == 0:
return None
randomCell = undiscovered_cells[random.randint(0, len(undiscovered_cells) - 1)]
return randomCell
def surrounding_cells(self, cell):
"""
returns set of surrounding cells
"""
row, col = cell
surrounding_cells = {(row - 1, col - 1), (row, col - 1), (row + 1, col - 1), (row - 1, col), (row + 1, col),
(row - 1, col + 1), (row, col + 1), (row + 1, col + 1)}
surrounding_cells = set(filter(lambda x: x[0] >= 0, surrounding_cells))
surrounding_cells = set(filter(lambda x: x[0] < self.height, surrounding_cells))
surrounding_cells = set(filter(lambda x: x[1] >= 0, surrounding_cells))
surrounding_cells = set(filter(lambda x: x[1] < self.width, surrounding_cells))
return surrounding_cells
def get_undiscovered_cells(self):
"""
Returns set of unclicked boxes
"""
undiscovered_cells = set()
for i in range(self.height):
for j in range(self.width):
if (i, j) not in self.moves_made:
undiscovered_cells.add((i, j),)
return undiscovered_cells
def consolidate_cells(self):
popping_indexes = []
for idx, sentence in enumerate(self.knowledge):
if len(sentence.cells) == 0:
self.knowledge.remove(sentence)
elif not sentence.count:
sentence_cells = sentence.cells.copy()
for cell in sentence_cells:
self.mark_safe(cell)
self.knowledge.remove(sentence)
elif (sentence.count == len(sentence.cells)):
sentence_cells = sentence.cells.copy()
for this_cell in sentence_cells:
self.mark_mine(this_cell)
self.knowledge.remove(sentence)
for idx1, sentence1 in enumerate(self.knowledge):
for idx2, sentence2 in enumerate(self.knowledge):
if idx1 is not idx2:
# if sentence1 is a subset of sentence2 and they have the same count, then the mine is in sentence1
if sentence1.cells.issubset(sentence2.cells):
if sentence1.cells == sentence2.cells:
self.knowledge.remove(sentence1)
continue
elif sentence1.count == sentence2.count:
# # make safe the difference of the cells
sentence_cells = sentence2.cells - sentence1.cells
for cell in sentence_cells:
self.mark_safe(cell)
self.knowledge.remove(sentence1)
elif len(sentence2.cells - sentence1.cells) == sentence2.count - sentence1.count and len(sentence2.cells - sentence1.cells) > 0:
# if a is subset of b, a's count is b's count - the difference of cells between a and b,
# then those extra cells are mines
sentence_cells = sentence2.cells - sentence1.cells
for cell in sentence_cells:
self.mark_mine(cell)
if(len(popping_indexes)):
popping_indexes.reverse()
for idx in popping_indexes:
self.knowledge.pop(idx)