


import math







def 						_lowercase       (     __lowerCamelCase			:					int			)  ->   list:





     '''simple docstring'''





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







def 						_lowercase       (     __lowerCamelCase			:					int			)  ->   int:





     '''simple docstring'''





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







def 						_lowercase       (     __lowerCamelCase			:					int			)  ->   int:





     '''simple docstring'''





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







def 						_lowercase       (     __lowerCamelCase			:					int			)  ->   int:





     '''simple docstring'''





     UpperCamelCase__							:  Optional[Any]								=     n
     for x in set(prime_factors(__lowerCamelCase			)			):
          s *= (x - 1) / x
     return int(__lowerCamelCase			)


if __name__ == "__main__":
   import doctest

   doctest.testmod()








import unittest

from transformers import BlenderbotTokenizer, BlenderbotTokenizerFast
from transformers.utils import cached_property

class  UpperCamelCase__ ( unittest.TestCase			):






      @cached_property
      def 	__lowercase(     self					:   List[Any]   )  -> int:
           return BlenderbotTokenizer.from_pretrained('''facebook/blenderbot-3B'''   )






      @cached_property
      def 	__lowercase(     self					:   List[Any]   )  -> Tuple:
           return BlenderbotTokenizerFast.from_pretrained('''facebook/blenderbot-3B'''   )






      def 	__lowercase(     self					:   List[str]   )  -> Optional[int]:
           UpperCamelCase__							:  Optional[Any]								=     self.tokenizer_ab
           UpperCamelCase__							:  str								=     ''' I am a small frog.'''
           UpperCamelCase__							:  Dict								=     tok([src_text],		padding=__lowerCamelCase,		truncation=__lowerCamelCase   )['''input_ids''']
           UpperCamelCase__							:  List[str]								=     tok.batch_decode(__lowerCamelCase,		skip_special_tokens=__lowerCamelCase,		clean_up_tokenization_spaces=__lowerCamelCase   )[0]
           assert src_text == decoded






      def 	__lowercase(     self					:   int   )  -> Any:
           UpperCamelCase__							:  str								=     self.rust_tokenizer_ab
           UpperCamelCase__							:  Optional[int]								=     ''' I am a small frog.'''
           UpperCamelCase__							:  List[str]								=     tok([src_text],		padding=__lowerCamelCase,		truncation=__lowerCamelCase   )['''input_ids''']
           UpperCamelCase__							:  Optional[int]								=     tok.batch_decode(__lowerCamelCase,		skip_special_tokens=__lowerCamelCase,		clean_up_tokenization_spaces=__lowerCamelCase   )[0]
           assert src_text == decoded






      def 	__lowercase(     self					:   Optional[int]   )  -> Optional[Any]:
           assert self.tokenizer_ab.add_prefix_space
           assert self.tokenizer_ab([''' Sam''', '''Sam''']   ).input_ids == [[55_02, 2], [55_02, 2]]






      def 	__lowercase(     self					:   Union[str, Any]   )  -> Optional[int]:
           assert self.rust_tokenizer_ab.add_prefix_space
           assert self.rust_tokenizer_ab([''' Sam''', '''Sam''']   ).input_ids == [[55_02, 2], [55_02, 2]]




