Created
August 30, 2010 14:00
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TicTacToe
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def wins(grid): | |
rows = [[grid[i+j] for j in 0, 1, 2] for i in 0, 3, 6] | |
cols = [[grid[i+j] for j in 0, 3, 6] for i in 0, 1, 2] | |
digs = [[grid[i] for i in 0, 4, 8], [grid[i] for i in 2, 4, 6]] | |
return any(all(cell is 'x' for cell in row) or | |
all(cell is 'o' for cell in row) | |
for row in rows + cols + digs) | |
def full(grid): | |
return all(cell is 'x' or cell is 'o' for cell in grid) | |
def move(grid, cell, symbol): | |
moved = list(grid) | |
moved[cell] = symbol | |
return moved | |
def moves(grid, symbol): | |
return [move(grid, cell, symbol) for cell in 0, 1, 2, 3, 4, 5, 6, 7, 8 | |
if grid[cell] not in ('x', 'o')] | |
def minimax(grid, symbol): | |
if wins(grid): | |
return (1 if symbol is 'o' else -1), None | |
elif full(grid): | |
return 0, None | |
elif symbol is 'x': | |
best_score = -2 | |
best_move = None | |
for move in moves(grid, 'x'): | |
score, mv = minimax(move, 'o') | |
if score >= best_score: | |
best_score = score | |
best_move = move | |
return best_score, best_move | |
elif symbol is 'o': | |
best_score = 2 | |
best_move = None | |
for move in moves(grid, 'o'): | |
score, mv = minimax(move, 'x') | |
if score <= best_score: | |
best_score = score | |
best_move = move | |
return best_score, best_move | |
def tictac(grid, turn): | |
score, move = minimax(grid, turn) | |
result = ('x win' if score is 1 else | |
'o win' if score is -1 else | |
'draw') | |
print 'On grid %s best move is %s and %s.' % (grid, ''.join(move), result) | |
tictac('xo-' | |
'x-o' | |
'-xo', 'x') | |
# On grid xo-x-o-xo best move is xo-x-oxxo and x win. | |
tictac('xox' | |
'oxo' | |
'ox-', 'x') | |
# On grid xoxoxoox- best move is xoxoxooxx and x win. | |
tictac('x-o' | |
'-ox' | |
'-x-', 'o') | |
# On grid x-o-ox-x- best move is x-o-oxox- and o win. | |
tictac('x-o' | |
'---' | |
'---', 'x') | |
# On grid x-o------ best move is x-o-----x and x win. | |
tictac('---' | |
'--x' | |
'oo-', 'x') | |
# On grid -----xoo- best move is -----xoox and x win. | |
tictac('ox-' | |
'-x-' | |
'oox', 'x') | |
# On grid ox--x-oox best move is ox-xx-oox and draw. |
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