

"""simple docstring"""




def    __SCREAMING_SNAKE_CASE						(						lowercase__      ):
					"""simple docstring"""
					if not isinstance(lowercase__			,							lowercase__      ):
										A			=					(
										    "operation can not be conducted on a object of type "
										    F"""{type(lowercase__      ).__name__}"""
										)
										raise TypeError(lowercase__      )
					A			=					""
					for _ in range(0			,							32      ):
										bit_string += str(number % 2      )
										A			=					number >> 1
					return bit_string
def    __SCREAMING_SNAKE_CASE						(						lowercase__      ):
					"""simple docstring"""
					if number < 0:
										raise ValueError("the value of input must be positive"      )
					elif isinstance(lowercase__			,							lowercase__      ):
										raise TypeError("Input value must be a 'int' type"      )
					elif isinstance(lowercase__			,							lowercase__      ):
										raise TypeError("'<' not supported between instances of 'str' and 'int'"      )
					A			=					0
					# iterator over [1 to 32],since we are dealing with 32 bit integer
					for _ in range(1			,							33      ):
										# left shift the bits by unity
										A			=					result << 1
										# get the end bit
										A			=					number % 2
										# right shift the bits by unity
										A			=					number >> 1
										# add that bit to our ans
										A			=					result | end_bit
					return get_reverse_bit_string(lowercase__      )


if __name__ == "__main__":
	import doctest

	doctest.testmod()







"""simple docstring"""


def     _lowerCamelCase(__UpperCamelCase       )				-> list:
	_lowerCAmelCase								=[True for i in range(n + 1       )]
	_lowerCAmelCase								=[i - 1 for i in range(n + 1       )]
	_lowerCAmelCase								=[]
	for i in range(2    , n + 1       ):
		if is_prime[i]:
			primes.append(__UpperCamelCase       )
		for j in range(0    , len(__UpperCamelCase       )       ):
			if i * primes[j] >= n:
				break
			_lowerCAmelCase								=False

			if i % primes[j] == 0:
				_lowerCAmelCase								=totients[i] * primes[j]
				break

			_lowerCAmelCase								=totients[i] * (primes[j] - 1)

	return totients


if __name__ == "__main__":
			import doctest

			doctest.testmod()



