
"""simple docstring"""


import math






def    lowercase	(  lowerCAmelCase__	):
			if n <= 0:
						raise ValueError('''Only positive integers have prime factors'''	)
			lowerCamelCase_ 		=     []
			while n % 2 == 0:
						pf.append(2	)
						lowerCamelCase_ 		=     int(n / 2	)
			for i in range(3  ,int(math.sqrt(lowerCAmelCase__	)	) + 1  ,2	):
						while n % i == 0:
									pf.append(lowerCAmelCase__	)
									lowerCamelCase_ 		=     int(n / i	)
			if n > 2:
						pf.append(lowerCAmelCase__	)
			return pf






def    lowercase	(  lowerCAmelCase__	):
			if n <= 0:
						raise ValueError('''Only positive numbers are accepted'''	)
			lowerCamelCase_ 		=     1
			lowerCamelCase_ 		=     1
			while n % 2 == 0:
						temp += 1
						lowerCamelCase_ 		=     int(n / 2	)
			div *= temp
			for i in range(3  ,int(math.sqrt(lowerCAmelCase__	)	) + 1  ,2	):
						lowerCamelCase_ 		=     1
						while n % i == 0:
									temp += 1
									lowerCamelCase_ 		=     int(n / i	)
						div *= temp
			if n > 1:
						div *= 2
			return div






def    lowercase	(  lowerCAmelCase__	):
			if n <= 0:
						raise ValueError('''Only positive numbers are accepted'''	)
			lowerCamelCase_ 		=     1
			lowerCamelCase_ 		=     1
			while n % 2 == 0:
						temp += 1
						lowerCamelCase_ 		=     int(n / 2	)
			if temp > 1:
						s *= (2**temp - 1) / (2 - 1)
			for i in range(3  ,int(math.sqrt(lowerCAmelCase__	)	) + 1  ,2	):
						lowerCamelCase_ 		=     1
						while n % i == 0:
									temp += 1
									lowerCamelCase_ 		=     int(n / i	)
						if temp > 1:
									s *= (i**temp - 1) / (i - 1)
			return int(lowerCAmelCase__	)






def    lowercase	(  lowerCAmelCase__	):
			lowerCamelCase_ 		=     n
			for x in set(prime_factors(lowerCAmelCase__	)	):
						s *= (x - 1) / x
			return int(lowerCAmelCase__	)


if __name__ == "__main__":
						import doctest

						doctest.testmod()





"""simple docstring"""


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

import diffusers.utils.hub_utils




class    __lowerCamelCase     (   unittest.TestCase ):




				@patch('''diffusers.utils.hub_utils.get_full_repo_name'''      )
				def 					UpperCAmelCase__	(							self       ,	UpperCAmelCase      ):
							lowerCamelCase_ 		=     '''full_repo_name'''
							with TemporaryDirectory() as tmpdir:
										# Dummy args values
										lowerCamelCase_ 		=     Mock()
										lowerCamelCase_ 		=     tmpdir
										lowerCamelCase_ 		=     0
										lowerCamelCase_ 		=     '''hub_token'''
										lowerCamelCase_ 		=     '''dataset_name'''
										lowerCamelCase_ 		=     0.0_1
										lowerCamelCase_ 		=     10_0000
										lowerCamelCase_ 		=     1_0000
										lowerCamelCase_ 		=     0.0_1
										lowerCamelCase_ 		=     0.0_2
										lowerCamelCase_ 		=     0.0_3
										lowerCamelCase_ 		=     0.0_0_0_5
										lowerCamelCase_ 		=     0.0_0_0_0_0_1
										lowerCamelCase_ 		=     1
										lowerCamelCase_ 		=     10
										lowerCamelCase_ 		=     0.0_0_1
										lowerCamelCase_ 		=     0.1
										lowerCamelCase_ 		=     0.2
										lowerCamelCase_ 		=     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()      )



