


"""simple docstring"""
def 						lowercase				(	_snake_case		: int	)	->str:
	"""simple docstring"""





	if not isinstance(_snake_case	,  _snake_case	):
		__snake_case      :		Dict         =							(
		    '''operation can not be conducted on a object of type '''
		    f"""{type(_snake_case	).__name__}"""
		)
		raise TypeError(_snake_case	)
	__snake_case      :		List[Any]         =							''''''
	for _ in range(0	,  32	):
		bit_string += str(number % 2	)
		__snake_case      :		List[Any]         =							number >> 1
	return bit_string






def 						lowercase				(	_snake_case		: int	)	->str:
	"""simple docstring"""





	if number < 0:
		raise ValueError('''the value of input must be positive'''	)
	elif isinstance(_snake_case	,  _snake_case	):
		raise TypeError('''Input value must be a \'int\' type'''	)
	elif isinstance(_snake_case	,  _snake_case	):
		raise TypeError('''\'<\' not supported between instances of \'str\' and \'int\''''	)
	__snake_case      :		Any         =							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
		__snake_case      :		List[Any]         =							result << 1
		# get the end bit
		__snake_case      :		List[Any]         =							number % 2
		# right shift the bits by unity
		__snake_case      :		List[Any]         =							number >> 1
		# add that bit to our ans
		__snake_case      :		Union[str, Any]         =							result | end_bit
	return get_reverse_bit_string(_snake_case	)


if __name__ == "__main__":
			import doctest

			doctest.testmod()







import math
def lowerCamelCase_       (			A			:      int						):




      """simple docstring"""

      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or number % 2 == 0 or number % 3 == 0:
            # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
            return False

      # All primes number are in format of 6k +/- 1
      for i in range(5		,					int(math.sqrt(A						) + 1						)		,					6						):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True
def lowerCamelCase_       (			A			:      int = 2_00_00_00						):




      """simple docstring"""
      return sum(num for num in range(3		,					A		,					2						) if is_prime(A						)						) + 2 if n > 2 else 0


if __name__ == "__main__":
 print(f'''{solution() = }''')



