






'''simple docstring'''



def 							lowercase_				(    __A :       int			)       ->      list:



 """simple docstring"""




 if bit_count < 0:
  raise ValueError('''The given input must be positive'''			)

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

 return sequence


def 							lowercase_				(    __A :       int			)       ->      list:



 """simple docstring"""




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

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

 lowercase					:   Tuple				  =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					:   Union[str, Any]				  =gray_code_sequence_string(bit_count - 1			)

 lowercase					:   Optional[Any]				  =[]

 # append 0 to first half of the smaller sequence generated
 for i in range(seq_len // 2			):
  lowercase					:   Union[str, Any]				  ='''0''' + smaller_sequence[i]
  sequence.append(__A			)

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

 return sequence


if __name__ == "__main__":
      import doctest

      doctest.testmod()











'''simple docstring'''



import importlib.metadata
from typing import Union

from packaging.version import Version, parse

from .constants import STR_OPERATION_TO_FUNC


SCREAMING_SNAKE_CASE						=	parse(importlib.metadata.version('torch'))


def 							lowercase_				(    __A :       Union[str, Version]					,      __A :       str					,      __A :       str			)       ->      Union[str, Any]:



 """simple docstring"""




 if operation not in STR_OPERATION_TO_FUNC.keys():
  raise ValueError(F'`operation` must be one of {list(STR_OPERATION_TO_FUNC.keys()			)}, received {operation}'			)
 lowercase					:   Any				  =STR_OPERATION_TO_FUNC[operation]
 if isinstance(__A					,      __A			):
  lowercase					:   List[Any]				  =parse(importlib.metadata.version(__A			)			)
 return operation(__A					,      parse(__A			)			)





def 							lowercase_				(    __A :       str					,      __A :       str			)       ->      Tuple:



 """simple docstring"""




 return compare_versions(__A					,      __A					,      __A			)



