有效的数独

1、程序简介

请你判断一个 9x9 的数独是否有效。只需要根据以下规则，验证已经填入的数字是否有效即可。
数字 1-9 在每一行只能出现一次。
数字 1-9 在每一列只能出现一次。
数字 1-9 在每一个以粗实线分隔的 3x3 宫内只能出现一次。（请参考示例图）
数独部分空格内已填入了数字，空白格用 ‘.’ 表示。

注意：

一个有效的数独（部分已被填充）不一定是可解的。
只需要根据以上规则，验证已经填入的数字是否有效即可。

示例 1：

在这里插入图片描述

输入：

 board = 
[["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"]]

输出：true

示例 2：

输入：

 board = 
[["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"]]

输出：false
解释：除了第一行的第一个数字从 5 改为 8 以外，空格内其他数字均与示例1 相同。但由于位于左上角的 3x3 宫内有两个 8 存在,
因此这个数独是无效的。

提示：

board.length == 9
board[i].length == 9
board[i][j] 是一位数字或者 ‘.’

2、程序代码

# -*- coding: utf-8 -*-
"""
Created on Mon Dec  6 09:31:54 2021
Function:
@author: 小梁aixj
"""
from typing import List
class Solution:
    def isValidSudoku(self, board):
        raw=[{},{},{},{},{},{},{},{},{}]
        col=[{},{},{},{},{},{},{},{},{}]
        cell=[{},{},{},{},{},{},{},{},{}]
        for i in range(9):
            for j in range(9):
                num=(3*(i//3)+j//3)
                temp=board[i][j]
                if temp != ".":
                    if temp not in raw[i] and temp not in col[j] and temp not in cell[num]:
                        raw [i][temp]=1
                        col [j][temp]=1
                        cell [num][temp]=1
                    else:
                        return False
        return True
#%%
s=Solution()
board=[["5","3",".",".",".","7",".",".","."],
       ["6",".",".","1","9","5",".",".","."],
       [".","9","8",".",".",".",".","6","."],
       ["8",".",".",".","6",".",".",".","3"],
       ["4",".",".","8",".","3",".",".","1"],
       ["7",".",".",".","2",".",".",".","6"],
       [".","6",".",".",".",".","2","8","."],
       [".",".",".",".","1",".",".",".","5"],
       [".",".",".",".","8",".",".","7","9"]]
print(s.isValidSudoku(board))