


import unittest
from pathlib import Path
from tempfile import TemporaryDirectory
from unittest.mock import Mock, patch

import diffusers.utils.hub_utils



class 							A					( unittest.TestCase							):
					'''simple docstring'''






					@patch("""diffusers.utils.hub_utils.get_full_repo_name"""	)
					def 						lowerCamelCase__  (self					:		Any   ,      _UpperCAmelCase					:		Mock	)		->     None:




							"""simple docstring"""


							lowercase__      =	"""full_repo_name"""
							with TemporaryDirectory() as tmpdir:
									# Dummy args values
									lowercase__      =	Mock()
									lowercase__      =	tmpdir
									lowercase__      =	0
									lowercase__      =	"""hub_token"""
									lowercase__      =	"""dataset_name"""
									lowercase__      =	0.01
									lowercase__      =	10_0000
									lowercase__      =	1_0000
									lowercase__      =	0.01
									lowercase__      =	0.02
									lowercase__      =	0.03
									lowercase__      =	0.0_005
									lowercase__      =	0.000_001
									lowercase__      =	1
									lowercase__      =	10
									lowercase__      =	0.001
									lowercase__      =	0.1
									lowercase__      =	0.2
									lowercase__      =	True

									# Model card mush be rendered and saved
									diffusers.utils.hub_utils.create_model_card(_UpperCAmelCase   ,      model_name="""model_name"""	)
									self.assertTrue((Path(_UpperCAmelCase	) / """README.md""").is_file()	)





import math






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






def 				UpperCamelCase      (			__magic_name__  :							int = 1000					,					__magic_name__  :							int = 1000  )     ->						int:
		"""simple docstring"""




		lowercase__      =	[0, 0, 0]  # length, a, b
		for a in range((a_limit * -1) + 1					,					__magic_name__  ):
				for b in range(2					,					__magic_name__  ):
						if is_prime(__magic_name__  ):
								lowercase__      =	0
								lowercase__      =	0
								while is_prime((n**2) + (a * n) + b  ):
										count += 1
										n += 1
								if count > longest[0]:
										lowercase__      =	[count, a, b]
		lowercase__      =	longest[1] * longest[2]
		return ans


if __name__ == "__main__":
	print(solution(1_0_0_0, 1_0_0_0))

