




"""simple docstring"""






from math import pow, sqrt







def   _snake_case    (       *lowercase__	):
				_lowerCamelCase  :    Dict					=					len(lowercase__	) > 0 and all(value > 0.0 for value in values	)
				return result







def   _snake_case    (       lowercase__							,					lowercase__	):
				return (
				    round(sqrt(molar_mass_a / molar_mass_a	)							,					6	)
				    if validate(lowercase__							,					lowercase__	)
				    else ValueError('Input Error: Molar mass values must greater than 0.'	)
				)







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):
				return (
				    round(effusion_rate * sqrt(molar_mass_a / molar_mass_a	)							,					6	)
				    if validate(lowercase__							,					lowercase__							,					lowercase__	)
				    else ValueError(
				        'Input Error: Molar mass and effusion rate values must greater than 0.'	)
				)







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):
				return (
				    round(effusion_rate / sqrt(molar_mass_a / molar_mass_a	)							,					6	)
				    if validate(lowercase__							,					lowercase__							,					lowercase__	)
				    else ValueError(
				        'Input Error: Molar mass and effusion rate values must greater than 0.'	)
				)







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):
				return (
				    round(molar_mass / pow(effusion_rate_a / effusion_rate_a							,					2	)							,					6	)
				    if validate(lowercase__							,					lowercase__							,					lowercase__	)
				    else ValueError(
				        'Input Error: Molar mass and effusion rate values must greater than 0.'	)
				)







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):
				return (
				    round(pow(effusion_rate_a / effusion_rate_a							,					2	) / molar_mass							,					6	)
				    if validate(lowercase__							,					lowercase__							,					lowercase__	)
				    else ValueError(
				        'Input Error: Molar mass and effusion rate values must greater than 0.'	)
				)








"""simple docstring"""






def   _snake_case    (       lowercase__	):
				_lowerCamelCase  :    Optional[int]					=					int(lowercase__	)
				if decimal in (0, 1):  # Exit cases for the recursion
								return str(lowercase__	)
				_lowerCamelCase,				_lowerCamelCase  :    Dict					=					divmod(lowercase__							,					2	)
				return binary_recursive(lowercase__	) + str(lowercase__	)







def   _snake_case    (       lowercase__	):
				_lowerCamelCase  :    List[Any]					=					str(lowercase__	).strip()
				if not number:
								raise ValueError('No input value was provided'	)
				_lowerCamelCase  :    str					=					'-' if number.startswith('-'	) else ''
				_lowerCamelCase  :    Union[str, Any]					=					number.lstrip('-'	)
				if not number.isnumeric():
								raise ValueError('Input value is not an integer'	)
				return f'''{negative}0b{binary_recursive(int(lowercase__	)	)}'''


if __name__ == "__main__":
			from doctest import testmod

			testmod()