"""simple docstring"""






import math

def  lowerCAmelCase_      (_SCREAMING_SNAKE_CASE	:int  )				-> bool:

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

def  lowerCAmelCase_      (_SCREAMING_SNAKE_CASE	:int = 600851475143  )				-> int:

						try:
												a_							:			List[Any]     		=					int(_SCREAMING_SNAKE_CASE  )
						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."  )
						a_							:			List[Any]     		=					0
						if is_prime(_SCREAMING_SNAKE_CASE  ):
												return n
						while n % 2 == 0:
												n //= 2
						if is_prime(_SCREAMING_SNAKE_CASE  ):
												return n
						for i in range(3		,			int(math.sqrt(_SCREAMING_SNAKE_CASE  )  ) + 1		,			2  ):
												if n % i == 0:
																		if is_prime(n // i  ):
																								a_							:			Optional[int]     		=					n // i
																								break
																		elif is_prime(_SCREAMING_SNAKE_CASE  ):
																								a_							:			Any     		=					i
						return max_number


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





"""simple docstring"""






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


UpperCamelCase     					=     {'configuration_levit': ['LEVIT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'LevitConfig', 'LevitOnnxConfig']}

try:
				if not is_vision_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				UpperCamelCase     					=     ['LevitFeatureExtractor']
				UpperCamelCase     					=     ['LevitImageProcessor']

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				UpperCamelCase     					=     [
				    'LEVIT_PRETRAINED_MODEL_ARCHIVE_LIST',
				    'LevitForImageClassification',
				    'LevitForImageClassificationWithTeacher',
				    'LevitModel',
				    'LevitPreTrainedModel',
				]


if TYPE_CHECKING:
				from .configuration_levit import LEVIT_PRETRAINED_CONFIG_ARCHIVE_MAP, LevitConfig, LevitOnnxConfig

				try:
								if not is_vision_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .feature_extraction_levit import LevitFeatureExtractor
								from .image_processing_levit import LevitImageProcessor

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_levit import (
								    LEVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
								    LevitForImageClassification,
								    LevitForImageClassificationWithTeacher,
								    LevitModel,
								    LevitPreTrainedModel,
								)
else:
				import sys

				UpperCamelCase     					=     _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)




