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    Here is my Python solution!

    def flippingMatrix(matrix):
        subarraysum = 0
        for i in range(len(matrix) // 2):
            for j in range(len(matrix) // 2):
                subarraysum += max((matrix[i][j], matrix[-i - 1][j], matrix[i][-j - 1], matrix[-i - 1][-j - 1]))
        return subarraysum