

"""simple docstring"""


from typing import List

from tokenizers import NormalizedString, PreTokenizedString, normalizers





class 					snake_case			:

				def __init__(			self							:       Any  ,						UpperCamelCase__							:       Any)->     None:



						'''simple docstring'''


						__lowerCAmelCase: Union[str, Any]					   =    vocab
						__lowerCAmelCase: List[Any]					   =    normalizers.BertNormalizer(
						    clean_text=UpperCamelCase__  ,						handle_chinese_chars=UpperCamelCase__  ,						strip_accents=UpperCamelCase__  ,						lowercase=UpperCamelCase__  ,						)
						try:
								import rjieba
						except ImportError:
								raise ImportError(
								    "You need to install rjieba to use RoFormerTokenizer. "
								    "See https://pypi.org/project/rjieba/ for installation.")
						__lowerCAmelCase: Any					   =    rjieba

				def 							lowercase_  (			self							:       Optional[int]  ,						UpperCamelCase__							:       int  ,						UpperCamelCase__							:       NormalizedString)->     List[NormalizedString]:



						'''simple docstring'''


						__lowerCAmelCase: Optional[Any]					   =    []

						# this code slice normalized_string is too slow (6s) but test_alignement_methods can pass
						for token, start, end in self.jieba.tokenize(str(UpperCamelCase__)  ,						hmm=UpperCamelCase__):
								if token in self.vocab:
										splits.append(normalized_string[start:end])
								else:
										__lowerCAmelCase: List[Any]					   =    self.normalizers.normalize_str(UpperCamelCase__).split()
										for token in token_list:
												if token:
														__lowerCAmelCase: List[Any]					   =    start + len(UpperCamelCase__)
														splits.append(normalized_string[start:end])
														__lowerCAmelCase: str					   =    end

        # this code test_alignement_methods can't pass but fast (300ms)
        # for token in self.jieba.cut(str(normalized_string), False):
        #     if token in self.vocab:
        #         splits.append(NormalizedString(token))
        #     else:
        #         token_list = self.normalizers.normalize_str(token).split()
        #         for token in token_list:
        #             if token:
        #                 splits.append(NormalizedString(token))

						return splits




				def 							lowercase_  (			self							:       Union[str, Any]  ,						UpperCamelCase__							:       PreTokenizedString)->     Union[str, Any]:



						'''simple docstring'''


						pretok.split(self.jieba_split)





"""simple docstring"""


import math






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






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






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






def 					a__					(					__SCREAMING_SNAKE_CASE				)			->			int:
		__lowerCAmelCase: Optional[int]					   =    n
		for x in set(prime_factors(__SCREAMING_SNAKE_CASE				)				):
				s *= (x - 1) / x
		return int(__SCREAMING_SNAKE_CASE				)


if __name__ == "__main__":
			import doctest

			doctest.testmod()


