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leetCode题库36:有效的数独

时间:2020-05-01 22:04:54      阅读:69      评论:0      收藏:0      [点我收藏+]

题目:https://leetcode-cn.com/problems/valid-sudoku/

  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。

技术分享图片

 

 

 上图是一个部分填充的有效的数独。

数独部分空格内已填入了数字,空白格用 ‘.‘ 表示。

示例1:

输入:
[
  ["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"]
]
输出: true

示例2:

输入:
[
  ["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"]
]
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。

分析:

  1.判断值存不存在可以使用HashSet;

  2.每行、每列、每3x3 宫可以单独放在一个HashSet中判断数值是否重复;

代码:

public boolean isValidSudoku(char[][] board) {
        HashSet[] row = new HashSet[9];
        HashSet[] column = new HashSet[9];
        HashSet[] box = new HashSet[9];
        for (int i=0;i<9;i++){
            row[i] = new HashSet(9);
            column[i] = new HashSet(9);
            box[i] = new HashSet(9);
        }
        for (int i=0;i<9;i++){
            for (int j=0;j<9;j++){
                if (board[i][j]==‘.‘){
                    continue;
                }
                if (row[i].contains(board[i][j])){
                    return false;
                }
                if (column[j].contains(board[i][j])){
                    return false;
                }
                int boxIndex = i/3*3 + j/3;
                if (box[boxIndex].contains(board[i][j])){
                    return false;
                }
                row[i].add(board[i][j]);
                column[j].add(board[i][j]);
                box[boxIndex].add(board[i][j]);
            }
        }
        return true;
    }

 

leetCode题库36:有效的数独

原文:https://www.cnblogs.com/guaniu2750/p/12814858.html

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