
'''simple docstring'''




def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



    _validate_point(__lowercase		)
    _validate_point(__lowercase		)
    if len(__lowercase		) != len(__lowercase		):
        raise ValueError('''Both points must be in the same n-dimensional space'''		)

    return float(sum(abs(a - b		) for a, b in zip(__lowercase						,							__lowercase		)		)		)







def 						lowerCAmelCase_							(  snake_case__		):




    '''simple docstring'''



    if point:
        if isinstance(__lowercase						,							__lowercase		):
            for item in point:
                if not isinstance(__lowercase						,							(int, float)		):
                    A			:  Tuple   =		(
                        """Expected a list of numbers as input, found """
                        F'{type(__lowercase		).__name__}'
                    )
                    raise TypeError(__lowercase		)
        else:
            A			:  int   =		F'Expected a list of numbers as input, found {type(__lowercase		).__name__}'
            raise TypeError(__lowercase		)
    else:
        raise ValueError('''Missing an input'''		)







def 						lowerCAmelCase_							(  snake_case__						,							snake_case__		):




    '''simple docstring'''



    _validate_point(__lowercase		)
    _validate_point(__lowercase		)
    if len(__lowercase		) != len(__lowercase		):
        raise ValueError('''Both points must be in the same n-dimensional space'''		)

    return float(sum(abs(x - y		) for x, y in zip(__lowercase						,							__lowercase		)		)		)


if __name__ == "__main__":
      import doctest

      doctest.testmod()










'''simple docstring'''







import numpy as np

lowercase      :   str      =       [
    ["""a""", """b""", """c""", """d""", """e"""],
    ["""f""", """g""", """h""", """i""", """k"""],
    ["""l""", """m""", """n""", """o""", """p"""],
    ["""q""", """r""", """s""", """t""", """u"""],
    ["""v""", """w""", """x""", """y""", """z"""],
]







class 					_a :





     '''simple docstring'''



     def __init__(				self							)      ->				None:
          snake_case			:      Dict        =			np.array(__a							)







     def 			snake_case_      (				self							,__a							)      ->				np.ndarray:
          snake_case ,		snake_case			:      Optional[Any]        =			np.where(letter == self.SQUARE							)
          snake_case			:      List[Any]        =			np.concatenate([indexa + 1, indexa + 1]							)
          return indexes







     def 			snake_case_      (				self							,__a							,__a							)      ->				str:
          snake_case			:      List[Any]        =			self.SQUARE[indexa - 1, indexa - 1]
          return letter







     def 			snake_case_      (				self							,__a							)      ->				str:
          snake_case			:      List[Any]        =			message.lower()
          snake_case			:      Dict        =			message.replace(""" """							,""""""							)
          snake_case			:      List[str]        =			message.replace("""j"""							,"""i"""							)

          snake_case			:      Optional[int]        =			np.empty((2, len(__a							))							)
          for letter_index in range(len(__a							)							):
               snake_case			:      Tuple        =			self.letter_to_numbers(message[letter_index]							)

               snake_case			:      Optional[Any]        =			numbers[0]
               snake_case			:      List[str]        =			numbers[1]

          snake_case			:      List[str]        =			first_step.reshape(2 * len(__a							)							)
          snake_case			:      List[Any]        =			""""""
          for numbers_index in range(len(__a							)							):
               snake_case			:      List[str]        =			int(second_step[numbers_index * 2]							)
               snake_case			:      List[Any]        =			int(second_step[(numbers_index * 2) + 1]							)
               snake_case			:      str        =			self.numbers_to_letter(__a							,__a							)
               snake_case			:      Any        =			encoded_message + letter

          return encoded_message







     def 			snake_case_      (				self							,__a							)      ->				str:
          snake_case			:      Any        =			message.lower()
          message.replace(""" """							,""""""							)
          snake_case			:      Dict        =			np.empty(2 * len(__a							)							)
          for letter_index in range(len(__a							)							):
               snake_case			:      str        =			self.letter_to_numbers(message[letter_index]							)
               snake_case			:      Any        =			numbers[0]
               snake_case			:      int        =			numbers[1]

          snake_case			:      List[str]        =			first_step.reshape((2, len(__a							))							)
          snake_case			:      Dict        =			""""""
          for numbers_index in range(len(__a							)							):
               snake_case			:      Optional[Any]        =			int(second_step[0, numbers_index]							)
               snake_case			:      Optional[int]        =			int(second_step[1, numbers_index]							)
               snake_case			:      Tuple        =			self.numbers_to_letter(__a							,__a							)
               snake_case			:      int        =			decoded_message + letter

          return decoded_message



