You are given an m x n binary matrix grid.

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

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

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.

 

Example 1:

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

Output: 3

Explanation:

Example 2:

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

Output: 2

Explanation:

Example 3:

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

Output: 2

Explanation:

 

Constraints: