class Solver:
def __init__(self, tile_config):
self.start_state = tile_config[:]
self.board = Board(tile_config)
self.solutions = {}
self.recursed = 0
self.all_paths = []
self.solution_path = []
def solve(self):
moves = self.find_shortest_path()
self.solution_path = moves
if (moves != None):
for move in moves:
self.board.move(move)
else:
print("CRUD. Could not find a solution for {}.".format(self.start_state))
return self.board.solved()
def find_all_paths_from_point(self, board_state, completed_moves, previous_states, paths_so_far):
all_paths = paths_so_far[:]
available_moves = Board(board_state).lookahead()
for move in available_moves:
new_board_state = available_moves[move]
path = completed_moves[:]
if (new_board_state == self.board.solution):
# we're done
path.append(move)
all_paths.append(path)
elif (len(completed_moves) > 0) and (move == completed_moves[-1]):
# ignore attempts to undo
pass
elif (len(path) > 2):
path.append(move)
path.append("R")
all_paths.append(path)
elif (new_board_state in previous_states):
path.append(move)
path.append("X")
all_paths.append(path)
else:
path.append(move)
previous_states.append(board_state)
all_paths.extend(self.find_all_paths_from_point(new_board_state, path, previous_states, all_paths))
return all_paths
def find_shortest_path(self):
self.all_paths = self.find_all_paths_from_point(self.start_state, [], [], [])
shortest_path = None
for path in self.all_paths:
if (not isinstance(path[-1], int)):
# skip the ones marked as not viable
pass
elif (shortest_path == None) or (len(shortest_path) > len(path)):
shortest_path = path
return shortest_path
def test_board_can_move_piece():
puzzle = Board([2, 3, 1, None])
puzzle.move(3)
assert puzzle.tiles == [2, None, 1, 3]
def test_board_cannot_move_if_tile_surrounded():
puzzle = Board([1, 2, 3, 4, 5, 6, 7, None, 8])
puzzle.move(2)
assert puzzle.tiles == [1, 2, 3, 4, 5, 6, 7, None, 8]
def test_board_cannot_make_diagonal_move():
puzzle = Board([2, 3, 1, None])
puzzle.move(2)
assert puzzle.tiles == [2, 3, 1, None]
class Solver:
def __init__(self, tile_config):
self.start_state = tile_config[:]
self.board = Board(tile_config)
self.solutions = {}
self.recursed = 0
self.all_paths = []
self.solution_path = []
self.shortest_solution = None
def solve(self):
# moves = self.find_shortest_path()
# self.solution_path = moves
self.find_all_paths_from_point(self.start_state, [], [], [])
if (self.shortest_solution != None):
for move in self.shortest_solution:
self.board.move(move)
else:
print("Could not find a solution for {}.".format(self.start_state))
return self.board.solved()
def find_all_paths_from_point(self, board_state, completed_moves,
previous_states, paths_so_far):
all_paths = paths_so_far[:]
available_moves = self.lookahead(board_state)
print(
"\nGoing into path search loop.\nBoard state: {} \nAvailable Moves: {}"
.format(board_state, available_moves))
move_scores = self.prioritize(available_moves)
print("Move Scores: {}".format(move_scores))
move_priorities = sorted(move_scores, key=move_scores.get)
for move in move_priorities:
new_board_state = available_moves[move]
path = completed_moves[:]
if (new_board_state == self.board.solution):
# we're done
path.append(move)
all_paths.append(path)
if (self.shortest_solution == None):
self.shortest_solution = path
elif (len(path) < len(self.shortest_solution)):
self.shortest_solution = path
elif (len(completed_moves) > 0) and (move == completed_moves[-1]):
# ignore attempts to undo
pass
elif (self.shortest_solution != None) and (len(all_paths) > 9000):
all_paths.append(["Z"])
break # you have a solution, just give up
elif ((len(path) >= 30)
or ((self.shortest_solution != None) and
(len(path) + 1) >= len(self.shortest_solution))):
# give up
path.append(move)
path.append("L")
all_paths.append(path)
elif (new_board_state in previous_states):
path.append(move)
path.append("X")
all_paths.append(path)
else:
path.append(move)
previous_states.append(board_state)
all_paths.extend(
self.find_all_paths_from_point(new_board_state, path,
previous_states, all_paths))
print("Returning from find_all_paths_from_point\nExplored {} paths".
format(len(all_paths)))
if (self.shortest_solution != None):
print("...shortest path has {} moves\n > {}".format(
len(self.shortest_solution), self.shortest_solution))
else:
print("...no solution yet.\n")
return all_paths
def prioritize(self, possibilities):
scores = {}
for move in possibilities:
# print("\nWorking on move {}".format(move))
board_state = possibilities[move]
move_score = self.sum_scores(board_state)
# lookahead_score = 0
# lookahead = self.lookahead(board_state)
# for board in lookahead:
# lookahead_score += self.sum_scores(lookahead[board])
# scores[move] = move_score + lookahead_score
scores[move] = move_score
# gc.collect()
# tracemalloc.start(10)
#
# snapshot = tracemalloc.take_snapshot()
# top_stats = snapshot.statistics('lineno')
# print("[ Top 10 ]")
# for stat in top_stats[:10]:
# print(stat)
# stats = snapshots[-1].filter_traces().compare_to(self.snapshots[-2], 'filename')
# for stat in stats[:10]:
# print("{} new KiB {} total KiB {} new {} total memory blocks: ".format(stat.size_diff / 1024, stat.size / 1024,
# stat.count_diff, stat.count))
return scores
def sum_scores(self, tiles):
score = 0
print("Scoring board state: {}".format(tiles))
inversions = self.count_inversions(tiles) * 10
deltapos = self.count_delta_from_position(tiles) * 10
deltarowcol = self.count_delta_from_rowcol(tiles) * 10
countneighbor = self.count_delta_from_neighbor(tiles)
print(
"inversion {} | deltapos {} | deltarowcol {} | neighbor {}".format(
inversions, deltapos, deltarowcol, countneighbor))
return inversions + deltarowcol + deltapos + countneighbor
def count_inversions(self, tiles):
numbers = [item for item in tiles if isinstance(item, int)]
num_inversions = 0
for num, tile in enumerate(numbers, start=0):
for i in range(num + 1, len(numbers)):
if (numbers[i] < tile):
num_inversions += 1
# print("...inversions is {}".format(num_inversions))
return num_inversions
def count_delta_from_position(self, tiles):
delta = 0
for num, tile in enumerate(tiles, start=1):
if (tile != None):
delta += abs(tile - num)
# print("...position delta is {}".format(delta))
return delta
def count_delta_from_rowcol(self, tiles):
delta = 0
for num, tile in enumerate(tiles, start=1):
if (tile == None):
tile = (self.board.dimension)**2
tilerow = (num // self.board.dimension) + 1
tilecol = ((num + 1) % self.board.dimension) + 1
tilerow_solution = (tile // self.board.dimension) + 1
tilecol_solution = ((tile + 1) % self.board.dimension) + 1
delta = (abs(tilerow_solution - tilerow)) + (abs(tilecol_solution -
tilecol))
# print("...rowcol delta is {}".format(delta))
return delta
def count_delta_from_neighbor(self, tiles):
count = 0
for num, tile in enumerate(tiles, start=0):
neighbor_positions = self.neighbor_indices(tiles, num)
for neighbor in neighbor_positions:
if (tile != None and tiles[neighbor] != None):
count += abs(tile - tiles[neighbor])
count += 8 - tiles.index(None)
return count
def lookahead(self, board):
available_moves = self.get_available_moves_from(board)
none_position = board.index(None)
whatif = {}
for tile in available_moves:
whatif_board = board[:]
tile_position = board.index(tile)
whatif_board[tile_position] = None
whatif_board[none_position] = tile
whatif[tile] = whatif_board
return whatif
def get_available_moves_from(self, board):
none_index = board.index(None)
neighbor_indices = self.neighbor_indices(board, none_index)
moves = []
for position in neighbor_indices:
moves.append(board[position])
return sorted(moves)
def neighbor_indices(self, board, position):
neighbor_indices = []
upper = position - self.board.dimension
if (upper >= 0):
neighbor_indices.append(upper)
right = position % self.board.dimension
if (right != self.board.dimension - 1):
neighbor_indices.append(position + 1)
lower = position + self.board.dimension
if (lower < len(board)):
neighbor_indices.append(lower)
left = position % self.board.dimension
if (left != 0):
neighbor_indices.append(position - 1)
return neighbor_indices
class Solver:
def __init__(self, tile_config):
self.board = Board(tile_config)
self.moves = []
self.visited_states = []
self.status = "Solving..."
self.locked_tiles = []
def solve(self):
if self.board.is_solvable():
self.visited_states.append(self.get_board_state())
while (not self.board.solved()) and (self.status != "stuck"):
self.find_best_move()
else:
self.status = "Unsolvable"
def get_available_moves(self):
return sorted([tile for tile in self.board.tile_neighbors(None) if isinstance(tile, int)])
def get_board_state(self):
board_state = self.board.tiles[:]
return board_state
def check_locks(self):
# this is a really really dumb implementation - TEMPORARY
# ONLY WORKS for 3x3s, not 4x4s
self.locked_tiles = []
# if 1 is in the 1 place, lock it
if (self.board.tiles[0] == 1):
self.locked_tiles.append(1)
# and if 2 AND 3 are in place, lock them
if (self.board.tiles[1] == 2 and self.board.tiles[2] == 3):
self.locked_tiles.append(2)
self.locked_tiles.append(3)
if ((self.board.dimension == 3) and
(1 in self.locked_tiles) and
(self.board.tiles[3] == 4) and
(self.board.tiles[6] == 7)
):
self.locked_tiles.append(4)
self.locked_tiles.append(7)
def find_best_move(self):
possible_moves = self.board.lookahead()
move_scores = {}
for move in possible_moves:
move_scores[move] = self.board.solution_diff_score_from(possible_moves[move])
# only consider moves that don't get us back to a known state
if (move in self.locked_tiles):
move_scores[move] += 9999
if len(self.visited_states) > 0 and (possible_moves[move] == self.visited_states[-1]):
move_scores[move] += 99999
if (possible_moves[move] in self.visited_states):
move_scores[move] += 99
best_move = min(move_scores, key=move_scores.get)
# print("BEST MOVE: {}".format(best_move))
self.board.move(best_move)
self.moves.append(best_move)
self.visited_states.append(self.get_board_state())
# if (best_move in self.locked_tiles):
# self.locked_tiles.remove(best_move)
self.check_locks()
if (len(self.moves) > 500):
self.status = "stuck"