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。
示例 1:
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
示例 2:
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。
說明:乙個有效的數獨(部分已被填充)不一定是可解的。
只需要根據以上規則,驗證已經填入的數字是否有效即可。
給定數獨序列只包含數字 1-9 和字元 '.' 。
給定數獨永遠是 9x9 形式的。
from typing import list
class solution:
def isvalidsudoku(self, board: list[list[str]]) -> bool:
def isvalid(ls:list)->bool:
d=dict()
for x in ls:
if x!='.' and x in d:
return false
if x!='.' and x not in d:
d[x]=1
return true
#行for x in board:
if not isvalid(x):
return false
#列for i in range(9):
ls=for j in range(9):
if not isvalid(ls):
return false
for i in range(0,9,3):
for j in range(0,9,3):
ls=for k in range(0,3):
for l in range(0,3):
if not isvalid(ls):
return false
return true
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