



import math





def 						__lowerCamelCase       (      __magic_name__	:  int						):
							if n <= 0:
														raise ValueError("Only positive integers have prime factors"						)
							a__:       Union[str, Any]											=[]
							while n % 2 == 0:
														pf.append(2						)
														a__:       str											=int(n / 2						)
							for i in range(3     , int(math.sqrt(__magic_name__						)						) + 1     , 2						):
														while n % i == 0:
																					pf.append(__magic_name__						)
																					a__:       int											=int(n / i						)
							if n > 2:
														pf.append(__magic_name__						)
							return pf





def 						__lowerCamelCase       (      __magic_name__	:  int						):
							if n <= 0:
														raise ValueError("Only positive numbers are accepted"						)
							a__:       Any											=1
							a__:       Dict											=1
							while n % 2 == 0:
														temp += 1
														a__:       str											=int(n / 2						)
							div *= temp
							for i in range(3     , int(math.sqrt(__magic_name__						)						) + 1     , 2						):
														a__:       List[Any]											=1
														while n % i == 0:
																					temp += 1
																					a__:       List[str]											=int(n / i						)
														div *= temp
							if n > 1:
														div *= 2
							return div





def 						__lowerCamelCase       (      __magic_name__	:  int						):
							if n <= 0:
														raise ValueError("Only positive numbers are accepted"						)
							a__:       str											=1
							a__:       Optional[Any]											=1
							while n % 2 == 0:
														temp += 1
														a__:       str											=int(n / 2						)
							if temp > 1:
														s *= (2**temp - 1) / (2 - 1)
							for i in range(3     , int(math.sqrt(__magic_name__						)						) + 1     , 2						):
														a__:       Optional[Any]											=1
														while n % i == 0:
																					temp += 1
																					a__:       List[str]											=int(n / i						)
														if temp > 1:
																					s *= (i**temp - 1) / (i - 1)
							return int(__magic_name__						)





def 						__lowerCamelCase       (      __magic_name__	:  int						):
							a__:       Dict											=n
							for x in set(prime_factors(__magic_name__						)						):
														s *= (x - 1) / x
							return int(__magic_name__						)


if __name__ == "__main__":
		import doctest

		doctest.testmod()










from typing import TYPE_CHECKING

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


__UpperCAmelCase						  =     {
    '''configuration_splinter''': ['''SPLINTER_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''SplinterConfig'''],
    '''tokenization_splinter''': ['''SplinterTokenizer'''],
}

try:
		if not is_tokenizers_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__UpperCAmelCase						  =     ['''SplinterTokenizerFast''']

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		__UpperCAmelCase						  =     [
		    '''SPLINTER_PRETRAINED_MODEL_ARCHIVE_LIST''',
		    '''SplinterForQuestionAnswering''',
		    '''SplinterForPreTraining''',
		    '''SplinterLayer''',
		    '''SplinterModel''',
		    '''SplinterPreTrainedModel''',
		]


if TYPE_CHECKING:
		from .configuration_splinter import SPLINTER_PRETRAINED_CONFIG_ARCHIVE_MAP, SplinterConfig
		from .tokenization_splinter import SplinterTokenizer

		try:
				if not is_tokenizers_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .tokenization_splinter_fast import SplinterTokenizerFast

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_splinter import (
				    SPLINTER_PRETRAINED_MODEL_ARCHIVE_LIST,
				    SplinterForPreTraining,
				    SplinterForQuestionAnswering,
				    SplinterLayer,
				    SplinterModel,
				    SplinterPreTrainedModel,
				)


else:
		import sys

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





