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Minimum Number of Flips to Make Binary Grid Palindromic I

You are given an m x n binary matrix grid.

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 either all rows palindromic or all columns palindromic.

Minimum Number of Flips to Make Binary Grid Palindromic I diagram

Example 1

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

Output: 2

Explanation: Flipping the highlighted cells makes all the rows palindromic.

Example 2

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

Output: 1

Explanation: Flipping the highlighted cell makes all the columns palindromic.

Example 3

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

Output: 0

Explanation: All rows are already palindromic.

Constraints

  • m == grid.length
  • n == grid[i].length
  • 1 <= m * n <= 2 * 10^5
  • 0 <= grid[i][j] <= 1

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