
'''simple docstring'''





from ..utils import DummyObject, requires_backends

class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Union[str, Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					int,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[str],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[int],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					int   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					List[str],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Tuple,     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Any   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					int,     *SCREAMING_SNAKE_CASE_						:					Any,     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Dict,     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Dict,     *SCREAMING_SNAKE_CASE_						:					Union[str, Any],     **SCREAMING_SNAKE_CASE_						:					Tuple   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Tuple,     *SCREAMING_SNAKE_CASE_						:					Optional[Any],     **SCREAMING_SNAKE_CASE_						:					Dict   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Union[str, Any],     *SCREAMING_SNAKE_CASE_						:					List[Any],     **SCREAMING_SNAKE_CASE_						:					str   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					str,     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					List[Any],     *SCREAMING_SNAKE_CASE_						:					str,     **SCREAMING_SNAKE_CASE_						:					Optional[Any]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Optional[Any],     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					Optional[int]   ):
										requires_backends(self,     ['''vision''']   )




class     a (					metaclass=__magic_name__     ):
				_snake_case		     =			['''vision''']




				def __init__(				self						:					Any,     *SCREAMING_SNAKE_CASE_						:					Optional[int],     **SCREAMING_SNAKE_CASE_						:					List[str]   ):
										requires_backends(self,     ['''vision''']   )





"""simple docstring"""






import math



def 			A__		(					_UpperCAmelCase    :      int	)							->	bool:

	'''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(_UpperCAmelCase	) + 1	)				,    6	):
		if number % i == 0 or number % (i + 2) == 0:
			return False
	return True



def 			A__		(					_UpperCAmelCase    :      int = 60_08_51_47_51_43	)							->	int:

	'''simple docstring'''


	try:
		snake_case__  :						List[Any]		=      int(_UpperCAmelCase	)
	except (TypeError, ValueError):
		raise TypeError("Parameter n must be int or castable to int."	)
	if n <= 0:
		raise ValueError("Parameter n must be greater than or equal to one."	)
	snake_case__  :						int		=      0
	if is_prime(_UpperCAmelCase	):
		return n
	while n % 2 == 0:
		n //= 2
	if is_prime(_UpperCAmelCase	):
		return n
	for i in range(3				,    int(math.sqrt(_UpperCAmelCase	)	) + 1				,    2	):
		if n % i == 0:
			if is_prime(n // i	):
				snake_case__  :						int		=      n // i
				break
			elif is_prime(_UpperCAmelCase	):
				snake_case__  :						List[Any]		=      i
	return max_number


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





