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。
思路+**+注釋:
public static boolean isvalidsudoku(char board)
}for (int j = 0; j < numcount.length; j++)
//如果不大於1,那麼歸零,為下次做準備
numcount[j]=0;}}
//驗證每一列的,共9列
for (int i = 0; i < numcount.length; i++)
}for (int j = 0; j < numcount.length; j++)
//如果不大於1,那麼歸零,為下次做準備
numcount[j]=0;}}
//驗證三層格仔
//驗證第一層3個格仔
int j=0;
for (int k = 0; k < 3; k++) }}
for (int m = 0; m < numcount.length; m++)
//如果不大於1,那麼歸零,為下次做準備
numcount[m]=0;}}
//驗證第二層3個格仔
j=0;
for (int k = 0; k < 3; k++) }}
for (int m = 0; m < numcount.length; m++)
//如果不大於1,那麼歸零,為下次做準備
numcount[m]=0;}}
//驗證第三層3個格仔
j=0;
for (int k = 0; k < 3; k++) }}
for (int m = 0; m < numcount.length; m++)
//如果不大於1,那麼歸零,為下次做準備
numcount[m]=0;}}
return true;
}
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