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tictactoe.py
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tictactoe.py
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"""
Tic Tac Toe Player
"""
import copy
import math
# import random
X = "X"
O = "O"
EMPTY = None
def initial_state():
"""
Returns starting state of the board.
"""
return [[EMPTY, EMPTY, EMPTY],
[EMPTY, EMPTY, EMPTY],
[EMPTY, EMPTY, EMPTY]]
def player(board):
"""
Returns player who has the next turn on a board.
"""
counts = get_count(board)
if is_initial_state(board) or counts[0] == counts[1]:
return X
return O
def actions(board):
"""
Returns set of all possible actions (i, j) available on the board.
"""
if terminal(board):
default_action_set = {0, 0}
return default_action_set
finalset = set()
for i in range(len(board)):
for j in range(len(board[i])):
if board[i][j] is None:
finalset.add((i, j))
return finalset
def result(board, action):
"""
Returns the board that results from making move (i, j) on the board.
"""
result_board = copy.deepcopy(board)
the_player = player(result_board)
if result_board[action[0]][action[1]] is None:
result_board[action[0]][action[1]] = the_player
else:
raise Exception("Sorry, that is not a valid move")
return result_board
def winner(board):
"""
Returns the winner of the game, if there is one.
"""
col1 = [board[0][0], board[1][0], board[2][0]]
col2 = [board[0][1], board[1][1], board[2][1]]
col3 = [board[0][2], board[1][2], board[2][2]]
row1 = copy.deepcopy(board[0])
row2 = copy.deepcopy(board[1])
row3 = copy.deepcopy(board[2])
diagonal1 = [board[0][0], board[1][1], board[2][2]]
diagonal2 = [board[0][2], board[1][1], board[2][0]]
checklists = [col1, col2, col3, row1, row2, row3, diagonal1, diagonal2]
winilistx = [X, X, X]
winilistO = [O, O, O]
for i in checklists:
if i == winilistx:
return X
elif i == winilistO:
return O
return None
def terminal(board):
"""
Returns True if game is over, False otherwise.
"""
if winner(board) or is_full(board):
return True
return False
def utility(board):
"""
Returns 1 if X has won the game, -1 if O has won, 0 otherwise.
"""
if winner(board) == X:
return 1
elif winner(board) == O:
return -1
return 0
def minimax(board):
"""
Returns the optimal action for the current player on the board.
"""
# X is the maximizer
# O is the minimizer
if is_initial_state(board):
all_actions = list(actions(board))
return random.choice(all_actions)
# if is_initial_state(board):
# all_actions = list(actions(board))
# return all_actions[0]
if len(actions(board)) == 0:
return None
the_player = player(board)
the_actions = []
utility_vals = []
for action in actions(board):
the_result = result(board, action)
utility_vals.append(minimax_calc(the_result))
the_actions.append(action)
if the_player == X:
max_val = max(utility_vals)
max_val_index = utility_vals.index(max_val)
the_action = the_actions[max_val_index]
return the_action
elif the_player == O:
min_val = min(utility_vals)
min_val_index = utility_vals.index(min_val)
the_action = the_actions[min_val_index]
return the_action
def minimax_calc(board):
if terminal(board):
return utility(board) * get_empty(board)
# return utility(board)
utility_vals = []
# Get player
the_player = player(board)
the_actions = []
for action in actions(board):
the_result = result(board, action)
utility_vals.append(minimax_calc(the_result))
the_actions.append(action)
if the_player == X:
max_val = max(utility_vals)
max_val_index = utility_vals.index(max_val)
the_action = the_actions[max_val_index]
return max_val
elif the_player == O:
min_val = min(utility_vals)
min_val_index = utility_vals.index(min_val)
the_action = the_actions[min_val_index]
return min_val
def is_initial_state(board):
condition = True
for i in board:
for j in i:
if j is not None:
return False
return condition
def get_count(board):
x_count = 0
o_count = 0
for i in board:
for j in i:
if j == "X":
x_count += 1
elif j == "O":
o_count += 1
return [x_count, o_count]
def is_full(board):
condition = True
for i in board:
for j in i:
if j is None:
return False
return condition
def get_empty(board):
empty_count = 1
for i in board:
for j in i:
if j is None:
empty_count += 1
return empty_count