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。

    1. 数字 1-9 在每一行只能出现一次。
    2. 数字 1-9 在每一列只能出现一次。
    3. 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:
    image.png

    1. 输入:board =
    2. [["5","3",".",".","7",".",".",".","."]
    3. ,["6",".",".","1","9","5",".",".","."]
    4. ,[".","9","8",".",".",".",".","6","."]
    5. ,["8",".",".",".","6",".",".",".","3"]
    6. ,["4",".",".","8",".","3",".",".","1"]
    7. ,["7",".",".",".","2",".",".",".","6"]
    8. ,[".","6",".",".",".",".","2","8","."]
    9. ,[".",".",".","4","1","9",".",".","5"]
    10. ,[".",".",".",".","8",".",".","7","9"]]
    11. 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
    

    提示:

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

      /**
      * @param {character[][]} board
      * @return {boolean}
      */
      var isValidSudoku = function(board) {
        // 步骤 1:初始化横、纵以及小九宫格
        const rows = [],
            columns = [],
            boxes = [];
        for (let i = 0; i < 9; i++) {
            rows[i] = [];
            columns[i] = [];
            boxes[i] = [];
        }
        // 对应的 rows 为 [[], [], [], [], [], [], [], [], []]
      
        // 步骤 2:遍历填充值
        for (let i = 0; i < 9; i++) {
            for (let j = 0; j < 9; j++) {
      
                // 获取值
                const value = board[i][j];
      
                // 先判断非 . 元素
                if (value !== '.') {
      
                    // 检验横排
                    if (!rows[i].includes(value)) {
                        rows[i].push(value);
                    } else {
                        return false;
                    }
      
                    // 检验竖排
                    if (!columns[j].includes(value)) {
                        columns[j].push(value);
                    } else {
                        return false;
                    }
      
                    // 检查盒子
                    const boxIndex = Math.floor(i / 3) * 3 + Math.floor(j / 3); // 对应的盒子
                    if (!boxes[boxIndex].includes(value)) {
                        boxes[boxIndex].push(value);
                    } else {
                        return false;
                    }
                }
            }
        }
      
        // 步骤 3:如果没有问题,就是真的,返回 true
        return true;
      };