{ "data": { "question": { "questionId": "798", "questionFrontendId": "782", "categoryTitle": "Algorithms", "boundTopicId": 1750, "title": "Transform to Chessboard", "titleSlug": "transform-to-chessboard", "content": "

You are given an n x n binary grid board. In each move, you can swap any two rows with each other, or any two columns with each other.

\n\n

Return the minimum number of moves to transform the board into a chessboard board. If the task is impossible, return -1.

\n\n

A chessboard board is a board where no 0's and no 1's are 4-directionally adjacent.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: board = [[0,1,1,0],[0,1,1,0],[1,0,0,1],[1,0,0,1]]\nOutput: 2\nExplanation: One potential sequence of moves is shown.\nThe first move swaps the first and second column.\nThe second move swaps the second and third row.\n
\n\n

Example 2:

\n\"\"\n
\nInput: board = [[0,1],[1,0]]\nOutput: 0\nExplanation: Also note that the board with 0 in the top left corner, is also a valid chessboard.\n
\n\n

Example 3:

\n\"\"\n
\nInput: board = [[1,0],[1,0]]\nOutput: -1\nExplanation: No matter what sequence of moves you make, you cannot end with a valid chessboard.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "变为棋盘", "translatedContent": "

一个 n x n 的二维网络 board 仅由 0 和 1 组成 。每次移动，你能任意交换两列或是两行的位置。

\n\n

返回 将这个矩阵变为  “棋盘”  所需的最小移动次数 。如果不存在可行的变换，输出 -1。

\n\n

“棋盘” 是指任意一格的上下左右四个方向的值均与本身不同的矩阵。

\n\n

 

\n\n

示例 1:

\n\n

\n\n
\n输入: board = [[0,1,1,0],[0,1,1,0],[1,0,0,1],[1,0,0,1]]\n输出: 2\n解释:一种可行的变换方式如下，从左到右：\n第一次移动交换了第一列和第二列。\n第二次移动交换了第二行和第三行。\n
\n\n

示例 2:

\n\n

\n\n
\n输入: board = [[0, 1], [1, 0]]\n输出: 0\n解释: 注意左上角的格值为0时也是合法的棋盘，也是合法的棋盘.\n
\n\n

示例 3:

\n\n

\n\n
\n输入: board = [[1, 0], [1, 0]]\n输出: -1\n解释: 任意的变换都不能使这个输入变为合法的棋盘。\n
\n\n

 

\n\n

提示：

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