2128. Remove All Ones With Row and Column Flips.py

""" You are given an m x n binary matrix grid.

In one operation, you can choose any row or column and flip each value in that row or column (i.e., changing all 0's to 1's, and all 1's to 0's).

Return true if it is possible to remove all 1's from grid using any number of operations or false otherwise.

Input: grid = [[0,1,0],[1,0,1],[0,1,0]]
Output: true
Explanation: One possible way to remove all 1's from grid is to:
- Flip the middle row
- Flip the middle column

  """

#每一行pattern一致才能成功， 比如0011和1100是同样的pattern
class Solution:
    def removeOnes(self, grid) -> bool:
        r1, r1_invert = grid[0], [1-val for val in grid[0]]
        for i in range(1, len(grid)):
            if grid[i] != r1 and grid[i] != r1_invert:
                return False
        return True