

import math




def        __UpperCamelCase     (      _A					:							Any		)				->Union[str, Any]:



							"""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        __UpperCamelCase     (      _A					:							Union[str, Any] = 600851475143		)				->Tuple:



							"""simple docstring"""

							try:
														lowerCamelCase_								=int(_A		)
							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."""		)
							lowerCamelCase_								=0
							if is_prime(_A		):
														return n
							while n % 2 == 0:
														n //= 2
							if is_prime(_A		):
														return n
							for i in range(3      ,  int(math.sqrt(_A		)		) + 1      ,  2		):
														if n % i == 0:
																					if is_prime(n // i		):
																												lowerCamelCase_								=n // i
																												break
																					elif is_prime(_A		):
																												lowerCamelCase_								=i
							return max_number


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

"""simple docstring"""






import os
import unittest

import pytest
from parameterized import parameterized

from transformers.testing_utils import require_torch, require_torch_gpu, slow, torch_device


# skipping in unittest tests

lowerCAmelCase__    :    Union[str, Any]			=      [(1,)]



def     a_		(   ):
				UpperCAmelCase__			 =				bool(os.getenv('RUN_SLOW'   ,     0			)			)
				if run_slow:
								assert True
				else:
								assert False, "should have been skipped"



def     a_		(   ):
				UpperCAmelCase__			 =				bool(os.getenv('RUN_SLOW'   ,     0			)			)
				if run_slow and torch_device == "cuda":
								assert True
				else:
								assert False, "should have been skipped"
@require_torch
class 							snake_case			(					unittest.TestCase							):




					"""simple docstring"""

					@slow
					@require_torch_gpu
					def 						__lowerCAmelCase		(							self  :      Optional[Any]     ):
									check_slow_torch_cuda()







					@require_torch_gpu
					@slow
					def 						__lowerCAmelCase		(							self  :      Any     ):
									check_slow_torch_cuda()







					@parameterized.expand(lowerCamelCase__     )
					@slow
					def 						__lowerCAmelCase		(							self  :      Union[str, Any]       ,lowerCamelCase__  :      str=None     ):
									check_slow()






@slow
@require_torch_gpu
def     a_		(   ):
				check_slow_torch_cuda()



@require_torch_gpu
@slow
def     a_		(   ):
				check_slow_torch_cuda()



@slow
@pytest.mark.parametrize('param'   ,     [1]			)
def     a_		(   lowerCamelCase			):
				check_slow()







@pytest.mark.parametrize('param'   ,     [1]			)
@slow
def     a_		(   lowerCamelCase			):
				check_slow()



