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LeetCode算法题-36. 有效的数独(Swift)

LeetCode算法题-36. 有效的数独(Swift)

作者: entre_los_dos | 来源:发表于2019-10-27 18:12 被阅读0次

    来源:力扣(LeetCode)
    链接:https://leetcode-cn.com/problems/valid-sudoku
    著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。

    题目

    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。


    image.png

    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。
    

    说明:

    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。
    给定数独序列只包含数字 1-9 和字符 '.' 。
    给定数独永远是 9x9 形式的。
    

    方法1:查找横的、竖的、九宫格是否有重复

       func isValidSudoku(_ board: [[Character]]) -> Bool {
            
            for i in 0..<board.count {
                
                let array = board[i]
                if !isValidRow(board, i) {
                    return false
                }
                if !isValidLine(board, i) {
                    return false
                }
                
                if i % 3 == 0 {
                    for j in 0..<array.count {
                       
                        if j % 3 == 0 {
                            if !isValidSquare(board, i, j) {
                                return false
                            }
                        }
                    }
                }
                
            }
            return true
        }
        func isValidRow(_ board: [[Character]], _ row: Int) -> Bool {
            //判断行row
            let currentRowLine = board[row]
            var boardDic = [Character: Int]()
            
            for character in currentRowLine {
                
                if character == "." {
                    continue
                }
                if boardDic[character] == 1 {
                    
                    return false
                }
                boardDic[character] = 1
            }
            return true
        }
        func isValidLine(_ board: [[Character]], _ line: Int) -> Bool {
            //判断列line
            var boardDic = [Character: Int]()
            for characterArr in board {
                
                if characterArr[line] == "." {
                    continue
                }
                if boardDic[characterArr[line]] == 1 {
                    
                    return false
                }
                boardDic[characterArr[line]] = 1
            }
            return true
        }
        func isValidSquare(_ board: [[Character]], _ row: Int, _ line: Int) -> Bool {
            
            var boardDic = [Character: Int]()
            
            //判断此九宫格
            boardDic = [Character: Int]()
            
            for i in row...row+2 {
                
                for j in line...line+2 {
                    
                    if board[i][j] == "." {
                        continue
                    }
                    if boardDic[board[i][j]] == 1 {
                        
                        return false
                    }
                    boardDic[board[i][j]] = 1
                }
            }
            
            return true
        }
    

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