36 有效的數獨

2021-09-18 09:13:11 字數 2281 閱讀 6218

判斷乙個9x9的數獨是否有效。只需要根據以下規則,驗證已經填入的數字是否有效即可。

數字1-9在每一行只能出現一次。

數字1-9在每一列只能出現一次。

數字1-9在每乙個以粗實線分隔的3x3宮內只能出現一次。

上圖是乙個部分填充的有效的數獨。

數獨部分空格內已填入了數字,空白格用'.'表示。

輸入:

[ ["5","3",".",".","7",".",".",".","."],

["6",".",".","1","9","5",".",".","."],

[".","9","8",".",".",".",".","6","."],

["8",".",".",".","6",".",".",".","3"],

["4",".",".","8",".","3",".",".","1"],

["7",".",".",".","2",".",".",".","6"],

[".","6",".",".",".",".","2","8","."],

[".",".",".","4","1","9",".",".","5"],

[".",".",".",".","8",".",".","7","9"]

]輸出: true

輸入:

[ ["8","3",".",".","7",".",".",".","."],

["6",".",".","1","9","5",".",".","."],

[".","9","8",".",".",".",".","6","."],

["8",".",".",".","6",".",".",".","3"],

["4",".",".","8",".","3",".",".","1"],

["7",".",".",".","2",".",".",".","6"],

[".","6",".",".",".",".","2","8","."],

[".",".",".","4","1","9",".",".","5"],

[".",".",".",".","8",".",".","7","9"]

]輸出: false

解釋: 除了第一行的第乙個數字從 5 改為 8 以外,空格內其他數字均與 示例1 相同。

但由於位於左上角的 3x3 宮內有兩個 8 存在, 因此這個數獨是無效的。

class

solution

:def

isvalidsudoku

(self, board: list[list[

str]])

->

bool

: rows =

[for i in

range(9

)]cols =

[for i in

range(9

)]boxes =

[for i in

range(9

)]for i in

range(9

):for j in

range(9

):num = board[i]

[j]if num !=

'.':

box_index =

(i //3)

*3+ j //

3 rows[i]

[num]

= rows[i]

.get(num,0)

+1cols[j]

[num]

= cols[j]

.get(num,0)

+1boxes[box_index]

[num]

= boxes[box_index]

.get(num,0)

+1if rows[i]

[num]

>

1or cols[j]

[num]

>

1or boxes[box_index]

[num]

>1:

return

false

return

true

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