{ "data": { "question": { "questionId": "3524", "questionFrontendId": "3240", "categoryTitle": "Algorithms", "boundTopicId": 2864375, "title": "Minimum Number of Flips to Make Binary Grid Palindromic II", "titleSlug": "minimum-number-of-flips-to-make-binary-grid-palindromic-ii", "content": "

You are given an m x n binary matrix grid.

\n\n

A row or column is considered palindromic if its values read the same forward and backward.

\n\n

You can flip any number of cells in grid from 0 to 1, or from 1 to 0.

\n\n

Return the minimum number of cells that need to be flipped to make all rows and columns palindromic, and the total number of 1's in grid divisible by 4.

\n\n

 

\n

Example 1:

\n\n
\n

Input: grid = [[1,0,0],[0,1,0],[0,0,1]]

\n\n

Output: 3

\n\n

Explanation:

\n\n

\n
\n\n

Example 2:

\n\n
\n

Input: grid = [[0,1],[0,1],[0,0]]

\n\n

Output: 2

\n\n

Explanation:

\n\n

\"\"

\n
\n\n

Example 3:

\n\n
\n

Input: grid = [[1],[1]]

\n\n

Output: 2

\n\n

Explanation:

\n\n

\"\"

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最少翻转次数使二进制矩阵回文 II", "translatedContent": "

给你一个 m x n 的二进制矩阵 grid 。

\n\n

如果矩阵中一行或者一列从前往后与从后往前读是一样的,那么我们称这一行或者这一列是 回文 的。

\n\n

你可以将 grid 中任意格子的值 翻转 ,也就是将格子里的值从 0 变成 1 ,或者从 1 变成 0 。

\n\n

请你返回 最少 翻转次数,使得矩阵中 所有 行和列都是 回文的 ,且矩阵中 1 的数目可以被 4 整除 。

\n\n

 

\n\n

示例 1:

\n\n
\n

输入:grid = [[1,0,0],[0,1,0],[0,0,1]]

\n\n

输出:3

\n\n

解释:

\n\n

\n
\n\n

示例 2:

\n\n
\n

输入:grid = [[0,1],[0,1],[0,0]]

\n\n

输出:2

\n\n

解释:

\n\n

\"\"

\n
\n\n

示例 3:

\n\n
\n

输入:grid = [[1],[1]]

\n\n

输出:2

\n\n

解释:

\n\n

\"\"

\n
\n\n

 

\n\n

提示:

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