



import numpy as np

snake_case__					:     Tuple    		=   [
    ["""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	:							Dict	):






       '''simple docstring'''



       __lowercase		       =			np.array(lowerCamelCase	)



      def     _snake_case	(	self	:							Union[str, Any]							,      lowerCamelCase	:							str	):






       '''simple docstring'''



       __lowercase       ,    __lowercase		       =			np.where(letter == self.SQUARE	)
       __lowercase		       =			np.concatenate([indexa + 1, indexa + 1]	)
       return indexes



      def     _snake_case	(	self	:							List[Any]							,      lowerCamelCase	:							int							,      lowerCamelCase	:							int	):






       '''simple docstring'''



       __lowercase		       =			self.SQUARE[indexa - 1, indexa - 1]
       return letter



      def     _snake_case	(	self	:							int							,      lowerCamelCase	:							str	):






       '''simple docstring'''



       __lowercase		       =			message.lower()
       __lowercase		       =			message.replace(" "							,      ""	)
       __lowercase		       =			message.replace("j"							,      "i"	)

       __lowercase		       =			np.empty((2, len(lowerCamelCase	))	)
       for letter_index in range(len(lowerCamelCase	)	):
        __lowercase		       =			self.letter_to_numbers(message[letter_index]	)

        __lowercase		       =			numbers[0]
        __lowercase		       =			numbers[1]

       __lowercase		       =			first_step.reshape(2 * len(lowerCamelCase	)	)
       __lowercase		       =			""
       for numbers_index in range(len(lowerCamelCase	)	):
        __lowercase		       =			int(second_step[numbers_index * 2]	)
        __lowercase		       =			int(second_step[(numbers_index * 2) + 1]	)
        __lowercase		       =			self.numbers_to_letter(lowerCamelCase							,      lowerCamelCase	)
        __lowercase		       =			encoded_message + letter

       return encoded_message



      def     _snake_case	(	self	:							Optional[Any]							,      lowerCamelCase	:							str	):






       '''simple docstring'''



       __lowercase		       =			message.lower()
       message.replace(" "							,      ""	)
       __lowercase		       =			np.empty(2 * len(lowerCamelCase	)	)
       for letter_index in range(len(lowerCamelCase	)	):
        __lowercase		       =			self.letter_to_numbers(message[letter_index]	)
        __lowercase		       =			numbers[0]
        __lowercase		       =			numbers[1]

       __lowercase		       =			first_step.reshape((2, len(lowerCamelCase	))	)
       __lowercase		       =			""
       for numbers_index in range(len(lowerCamelCase	)	):
        __lowercase		       =			int(second_step[0, numbers_index]	)
        __lowercase		       =			int(second_step[1, numbers_index]	)
        __lowercase		       =			self.numbers_to_letter(lowerCamelCase							,      lowerCamelCase	)
        __lowercase		       =			decoded_message + letter

       return decoded_message








def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# bit count represents no. of bits in the gray code
	if bit_count < 0:
		raise ValueError("The given input must be positive"   )

	# get the generated string sequence
	__lowercase		       =			gray_code_sequence_string(_SCREAMING_SNAKE_CASE   )
	#
	# convert them to integers
	for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
		__lowercase		       =			int(sequence[i]  ,	2   )

	return sequence



def    snake_case_				(    _SCREAMING_SNAKE_CASE   ):

	# The approach is a recursive one
	# Base case achieved when either n = 0 or n=1
	if bit_count == 0:
		return ["0"]

	if bit_count == 1:
		return ["0", "1"]

	__lowercase		       =			1 << bit_count  # defines the length of the sequence
	# 1<< n is equivalent to 2^n

	# recursive answer will generate answer for n-1 bits
	__lowercase		       =			gray_code_sequence_string(bit_count - 1   )

	__lowercase		       =			[]

	# append 0 to first half of the smaller sequence generated
	for i in range(seq_len // 2   ):
		__lowercase		       =			"0" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	# append 1 to second half ... start from the end of the list
	for i in reversed(range(seq_len // 2   )   ):
		__lowercase		       =			"1" + smaller_sequence[i]
		sequence.append(_SCREAMING_SNAKE_CASE   )

	return sequence


if __name__ == "__main__":
	import doctest

	doctest.testmod()



