code: 
  
  
  import math
  
  
  
  
  
  
  
  def  _lowerCamelCase(			lowercase__			)		->			list[int]:
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		if not isinstance(lowercase__     ,				lowercase__			):
  				__lowercase=    F'Input value of [number={number}] must be an integer'
  				raise TypeError(lowercase__			)
  		if number < 1:
  				__lowercase=    F'Input value of [number={number}] must be a positive integer'
  				raise ValueError(lowercase__			)
  		__lowercase=    [number]
  		while number != 1:
  				if number % 2 == 0:
  						__lowercase=    math.floor(math.sqrt(lowercase__			)			)
  				else:
  						__lowercase=    math.floor(
  						    math.sqrt(lowercase__			) * math.sqrt(lowercase__			) * math.sqrt(lowercase__			)			)
  				sequence.append(lowercase__			)
  		return sequence
  
  
  if __name__ == "__main__":
  	import doctest
  
  	doctest.testmod()
  
  
  
  
  
  
  
style_context: 
  
  
  from typing import Dict, List, Optional, Tuple
  
  from ...tokenization_utils import AddedToken, PreTrainedTokenizer
  from ...utils import logging
  
  
  lowerCAmelCase					 =	logging.get_logger(__name__)
  
  
  
  
  
  class    A					(     A_				):
  							UpperCamelCase_     :							Any =['''input_ids''', '''attention_mask''']
  
  
  							def __init__(self   ,       lowerCAmelCase="[PAD]"   ,       lowerCAmelCase="[BOS]"   ,       lowerCAmelCase="[EOS]"   ,       lowerCAmelCase="[MASK]"   ,       lowerCAmelCase="[CLS]"   ,       lowerCAmelCase="[SEP]"   ,       lowerCAmelCase=2_0_4_8   ,       **lowerCAmelCase   ,       ):
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else pad_token
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else bos_token
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else eos_token
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else mask_token
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else cls_token
  									__lowercase=    AddedToken(lowerCAmelCase   ,       lstrip=lowerCAmelCase   ,       rstrip=lowerCAmelCase      ) if isinstance(lowerCAmelCase   ,       lowerCAmelCase      ) else sep_token
  
  									super().__init__(
  									    pad_token=lowerCAmelCase   ,       bos_token=lowerCAmelCase   ,       eos_token=lowerCAmelCase   ,       mask_token=lowerCAmelCase   ,       cls_token=lowerCAmelCase   ,       sep_token=lowerCAmelCase   ,       model_max_length=lowerCAmelCase   ,       **lowerCAmelCase   ,       )
  
  									__lowercase=    2**8  # utf is 8 bits
  
  									# define special tokens dict
  									__lowercase=    {
  									    self.pad_token: 0,
  									    self.bos_token: 1,
  									    self.eos_token: 2,
  									    self.mask_token: 3,
  									    self.cls_token: 4,
  									    self.sep_token: 5,
  									}
  									__lowercase=    len(self.special_tokens_encoder      )
  									__lowercase=    {v: k for k, v in self.special_tokens_encoder.items()}
  
  
  							def     _A (self      ):
  									__lowercase=    self.special_tokens_encoder.copy()
  									vocab.update(self.added_tokens_encoder      )
  									for i in range(self._utf_vocab_size      ):
  											__lowercase=    chr(lowerCAmelCase      )
  											__lowercase=    i + len(self.special_tokens_encoder      )
  									return vocab
  
  
  							@property
  							def     _A (self      ):
  									return self._utf_vocab_size + self._num_special_tokens
  
  
  							def     _A (self   ,       lowerCAmelCase   ,       lowerCAmelCase = None   ,       lowerCAmelCase = False      ):
  									if already_has_special_tokens:
  											return super().get_special_tokens_mask(
  											    token_ids_a=lowerCAmelCase   ,       token_ids_a=lowerCAmelCase   ,       already_has_special_tokens=lowerCAmelCase      )
  
  									# normal case: some special tokens
  									if token_ids_a is None:
  											return [1] + [0] * len(lowerCAmelCase      ) + [1]
  									return [1] + ([0] * len(lowerCAmelCase      )) + [1] + ([0] * len(lowerCAmelCase      )) + [1]
  
  
  							def     _A (self   ,       lowerCAmelCase   ,       lowerCAmelCase = None      ):
  									if token_ids_a is None:
  											return [self.cls_token_id] + token_ids_a + [self.sep_token_id]
  									else:
  											return [self.cls_token_id] + token_ids_a + [self.sep_token_id] + token_ids_a + [self.sep_token_id]
  
  
  							def     _A (self   ,       lowerCAmelCase      ):
  									__lowercase=    [chr(lowerCAmelCase      ) for i in text.encode('utf-8'      )]
  									return tokens
  
  
  							def     _A (self   ,       lowerCAmelCase      ):
  									if token in self.special_tokens_encoder:
  											__lowercase=    self.special_tokens_encoder[token]
  									elif token in self.added_tokens_encoder:
  											__lowercase=    self.added_tokens_encoder[token]
  									elif len(lowerCAmelCase      ) != 1:
  											__lowercase=    self.unk_token_id
  									else:
  											__lowercase=    ord(lowerCAmelCase      ) + self._num_special_tokens
  									return token_id
  
  
  							def     _A (self   ,       lowerCAmelCase      ):
  									if index in self.special_tokens_decoder:
  											__lowercase=    self.special_tokens_decoder[index]
  									elif index in self.added_tokens_decoder:
  											__lowercase=    self.added_tokens_decoder[index]
  									else:
  											__lowercase=    chr(index - self._num_special_tokens      )
  									return token
  
  
  							def     _A (self   ,       lowerCAmelCase      ):
  									__lowercase=    B''
  									for token in tokens:
  											if token in self.special_tokens_decoder:
  													__lowercase=    self.special_tokens_decoder[token].encode('utf-8'      )
  											elif token in self.added_tokens_decoder:
  													__lowercase=    self.special_tokens_decoder[token].encode('utf-8'      )
  											elif token in self.special_tokens_encoder:
  													__lowercase=    token.encode('utf-8'      )
  											elif token in self.added_tokens_encoder:
  													__lowercase=    token.encode('utf-8'      )
  											else:
  													__lowercase=    bytes([ord(lowerCAmelCase      )]      )
  											bstring += tok_string
  									__lowercase=    bstring.decode('utf-8'   ,       errors='replace'      )
  									return string
  
  
  
  
  
  
  
  							def     _A (self   ,       lowerCAmelCase   ,       lowerCAmelCase = None      ):
  									return ()
  
  
  
  
  
  
  