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我開始學習球拍，我正在使用任意的arity樹和生成遞歸來從給定棋盤上獲取棋盤的所有可能版本。球拍 - > Python
所以我們可以說我有這樣的板，其中假指空：
(list "X" "X" "O" "O" "X" "O" "X" #false "X")
的解決方案，這個根據要求是：
(list
(list "X" "X" "O" "O" "X" "O" "X" "X" "X")
(list "X" "X" "O" "O" "X" "O" "X" "O" "X"))
球拍該解決方案的偉大工程。我在Python中嘗試了同樣的事情，但它並不像預期的那樣工作。
我不斷收到輸出這樣的：
[['X', 'X', 'O', 'O', 'X', 'O', 'X', 'X', 'X'], [['X', 'X', 'O', 'O', 'X', 'O', 'X', 'O', 'X'], []]]
或
['X', 'X', 'O', 'O', 'X', 'O', 'X', 'X', 'X', 'X', 'X', 'O', 'O', 'X', 'O', 'X', 'O', 'X']
或更糟。
我似乎無法讓它給我我想要的輸出。
我正在考慮對輸出做一些後期處理，如果沒有其他工作，但我想避免這種情況。
我需要的是這樣的：
[['X', 'X', 'O', 'O', 'X', 'O', 'X', 'X', 'X'], ['X', 'X', 'O', 'O', 'X', 'O', 'X', 'O', 'X']]
在任何情況下，讓我知道如果你能幫助。
這裏是我的Python代碼：
"""
Brute force solution for tic-tac-toe.
"""
"""
Data definitions:
;; Value is one of:
;; - false
;; - "X"
;; - "O"
;; interp. a square is either empty (represented by false) or has and "X" or an "O"
;; Board is (listof Value)
;; a board is a list of 9 Values
"""
#
## CONSTANTS
#
B0 = [False for i in range(9)]
B1 = [
False, "X", "O",
"O", "X", "O",
False, False, "X"
]
B2 = [
"X", "X", "O",
"O", "X", "O",
"X", False, "X",
]
B3 = [
"X", "O", "X",
"O", "O", False,
"X", "X", False,
]
"""
PROBLEM 1
In this problem we want you to design a function that produces all
possible filled boards that are reachable from the current board.
In actual tic-tac-toe, O and X alternate playing. For this problem
you can disregard that. You can also assume that the players keep
placing Xs and Os after someone has won. This means that boards that
are completely filled with X, for example, are valid.
"""
def fill_board(index, bd):
"""
Returns a list of 2 board versions with
the index filled with "X" and "O"
:param index: int; index of position in list to be filled
:param bd: Board
:return: (listof Board)
"""
return [
bd[:index] + ["X"] + bd[index+1:],
bd[:index] + ["O"] + bd[index + 1:],
]
assert fill_board(0, B1) == [
[
"X", "X", "O",
"O", "X", "O",
False, False, "X"
],
[
"O", "X", "O",
"O", "X", "O",
False, False, "X"
],
]
assert fill_board(5, B3) == [
[
"X", "O", "X",
"O", "O", "X",
"X", "X", False,
],
[
"X", "O", "X",
"O", "O", "O",
"X", "X", False,
],
]
def find_blank(bd):
"""
Return the index of the
first empty (False) value
in the board.
ASSUME: there is at least one
empty cell.
:param bd: Board
:return: Index
"""
return bd.index(False)
assert find_blank(B0) == 0
assert find_blank(B2) == 7
assert find_blank(B3) == 5
def next_boards(bd):
"""
Produce the next version of initial board.
Finds the first empty (False) cell, and produces
2 versions of the board; one with X and one with O
:param bd: Board
:return: (listof Board)
"""
return fill_board(find_blank(bd), bd)
assert next_boards(B0) == [
["X"] + B0[1:],
["O"] + B0[1:],
]
assert next_boards(B3) == [
[
"X", "O", "X",
"O", "O", "X",
"X", "X", False,
],
[
"X", "O", "X",
"O", "O", "O",
"X", "X", False,
],
]
def solve(bd):
"""
Produce all possible filled boards that are
reachable from the current board.
:param bd: Board (listof Value)
:return: (listof Board)
"""
def is_full(bd):
"""
Returns true if board is full; meaning
if every value on the board is a string.
:param bd: Board (listof Value)
:return: Boolean
"""
return all(type(i) is str for i in bd)
def solve__bd(bd):
"""
Mutually refential function with
solve__lobd. This is where all the actual
computation takes place.
The two functions are responsible for
generating and operating on the tree.
The tree (arbitraty arity tree) represents
another version of the board filled with an
additional X or O.
:param bd: Board (listof Value)
:return: (listof Board)
"""
if is_full(bd):
return list(bd)
return solve__lobd(next_boards(bd))
def solve__lobd(lobd):
"""
Helper function of solve, alongside solve__bd
:param lobd: (listof Board)
:return: (listof Board)
"""
if not lobd:
return []
return [solve__bd(lobd[0]), solve__lobd(lobd[1:])]
return solve__bd(bd)
assert solve(B2) == [
[
"X", "X", "O",
"O", "X", "O",
"X", "X", "X",
],
[
"X", "X", "O",
"O", "X", "O",
"X", "O", "X",
],
]
assert solve(B3) == [
[
"X", "O", "X",
"O", "O", "X",
"X", "X", "X",
],
[
"X", "O", "X",
"O", "O", "X",
"X", "X", "O",
],
[
"X", "O", "X",
"O", "O", "O",
"X", "X", "X",
],
[
"X", "O", "X",
"O", "O", "O",
"X", "X", "O",
],
]
只要做，例如[B1，B2] – perigon