有效的數獨
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:[示例 2:["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
輸入:[說明:題解:["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。
今天刷了好幾道題,就這題還有點意思,主要是優化,橫縱座標的有效性沒問題直接用map搞,3x3的方格的有效性我一開始是直接寫了個check函式,在函式裡用map進行驗證,後來看見別人的**,覺得很巧妙,可以開乙個三維陣列,假設驗證第i行第j個,那麼可以把它唯一標記為p[i/3][j/3],可以驗證(0,0),(0,1)一直到(2,2)也就是第乙個方格所有座標都符合這個唯一標記,而其他的座標不符合,那麼開乙個三維陣列就可以標記整張圖的每個3x3的方格裡的有效性。我修改之後的時間居然跑得和原來的一樣。。莫名其妙
我修改前的**:
class solution
if(board[i][j]!='.')
if(board[j][i]!='.')}}
return true;
}bool check(vector>& board,int sx,int sy)
if(board[j][i]!='.')}}
return true;}};
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