



from typing import Dict, List, Optional, Tuple

from ...tokenization_utils import AddedToken, PreTrainedTokenizer
from ...utils import logging


UpperCAmelCase__  =			logging.get_logger(__name__)







class      __lowerCAmelCase       (     A		):
			UpperCamelCase     =	['''input_ids''', '''attention_mask''']



			def __init__(		self  :    Any					,						A  :    Dict="[PAD]"					,						A  :    Optional[Any]="[BOS]"					,						A  :    Optional[int]="[EOS]"					,						A  :    Optional[int]="[MASK]"					,						A  :    Optional[Any]="[CLS]"					,						A  :    str="[SEP]"					,						A  :    Tuple=20_48					,						**A  :    Union[str, Any]					,						)  ->       None:



						"""simple docstring"""






						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else pad_token
						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else bos_token
						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else eos_token
						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else mask_token
						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else cls_token
						_UpperCAmelCase									=  AddedToken(A					,						lstrip=A					,						rstrip=A) if isinstance(A					,						A) else sep_token

						super().__init__(
						    pad_token=A					,						bos_token=A					,						eos_token=A					,						mask_token=A					,						cls_token=A					,						sep_token=A					,						model_max_length=A					,						**A					,						)

						_UpperCAmelCase									=  2**8  # utf is 8 bits

						# define special tokens dict
						_UpperCAmelCase									=  {
						    self.pad_token: 0,
						    self.bos_token: 1,
						    self.eos_token: 2,
						    self.mask_token: 3,
						    self.cls_token: 4,
						    self.sep_token: 5,
						}
						_UpperCAmelCase									=  len(self.special_tokens_encoder)
						_UpperCAmelCase									=  {v: k for k, v in self.special_tokens_encoder.items()}



			def        _lowerCamelCase			(		self  :    Dict)  ->       Dict[str, int]:



						"""simple docstring"""






						_UpperCAmelCase									=  self.special_tokens_encoder.copy()
						vocab.update(self.added_tokens_encoder)
						for i in range(self._utf_vocab_size):
									_UpperCAmelCase									=  chr(A)
									_UpperCAmelCase									=  i + len(self.special_tokens_encoder)
						return vocab



			@property
			def        _lowerCamelCase			(		self  :    Any)  ->       int:



						"""simple docstring"""






						return self._utf_vocab_size + self._num_special_tokens



			def        _lowerCamelCase			(		self  :    Dict					,						A  :    List[int]					,						A  :    Optional[List[int]] = None					,						A  :    bool = False)  ->       List[int]:



						"""simple docstring"""






						if already_has_special_tokens:
									return super().get_special_tokens_mask(
									    token_ids_a=A					,						token_ids_a=A					,						already_has_special_tokens=A)

						# normal case: some special tokens
						if token_ids_a is None:
									return [1] + [0] * len(A) + [1]
						return [1] + ([0] * len(A)) + [1] + ([0] * len(A)) + [1]



			def        _lowerCamelCase			(		self  :    Optional[int]					,						A  :    List[int]					,						A  :    Optional[List[int]] = None)  ->       List[int]:



						"""simple docstring"""






						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        _lowerCamelCase			(		self  :    Optional[Any]					,						A  :    str)  ->       List[str]:



						"""simple docstring"""






						_UpperCAmelCase									=  [chr(A) for i in text.encode('utf-8')]
						return tokens



			def        _lowerCamelCase			(		self  :    List[Any]					,						A  :    Union[str, Any])  ->       int:



						"""simple docstring"""






						if token in self.special_tokens_encoder:
									_UpperCAmelCase									=  self.special_tokens_encoder[token]
						elif token in self.added_tokens_encoder:
									_UpperCAmelCase									=  self.added_tokens_encoder[token]
						elif len(A) != 1:
									_UpperCAmelCase									=  self.unk_token_id
						else:
									_UpperCAmelCase									=  ord(A) + self._num_special_tokens
						return token_id



			def        _lowerCamelCase			(		self  :    Any					,						A  :    int)  ->       int:



						"""simple docstring"""






						if index in self.special_tokens_decoder:
									_UpperCAmelCase									=  self.special_tokens_decoder[index]
						elif index in self.added_tokens_decoder:
									_UpperCAmelCase									=  self.added_tokens_decoder[index]
						else:
									_UpperCAmelCase									=  chr(index - self._num_special_tokens)
						return token



			def        _lowerCamelCase			(		self  :    Any					,						A  :    Dict)  ->       List[Any]:



						"""simple docstring"""






						_UpperCAmelCase									=  B''
						for token in tokens:
									if token in self.special_tokens_decoder:
												_UpperCAmelCase									=  self.special_tokens_decoder[token].encode('utf-8')
									elif token in self.added_tokens_decoder:
												_UpperCAmelCase									=  self.special_tokens_decoder[token].encode('utf-8')
									elif token in self.special_tokens_encoder:
												_UpperCAmelCase									=  token.encode('utf-8')
									elif token in self.added_tokens_encoder:
												_UpperCAmelCase									=  token.encode('utf-8')
									else:
												_UpperCAmelCase									=  bytes([ord(A)])
									bstring += tok_string
						_UpperCAmelCase									=  bstring.decode('utf-8'					,						errors='replace')
						return string



			def        _lowerCamelCase			(		self  :    List[Any]					,						A  :    str					,						A  :    Optional[str] = None)  ->       Tuple[str]:



						"""simple docstring"""






						return ()





import sys

sys.set_int_max_str_digits(0)  # type: ignore





def 				A      (	_UpperCAmelCase							:  int       )							->					bool:







			'''simple docstring'''
			_UpperCAmelCase									=  [0] * 11
			_UpperCAmelCase									=  [0] * 11

			# mark last 9 numbers
			for _ in range(9       ):
						_UpperCAmelCase									=  1
						_UpperCAmelCase									=  number // 10
			# flag
			_UpperCAmelCase									=  True

			# check last 9 numbers for pandigitality

			for x in range(9       ):
						if not check_last[x + 1]:
									_UpperCAmelCase									=  False
			if not f:
						return f

			# mark first 9 numbers
			_UpperCAmelCase									=  int(str(_UpperCAmelCase       )[:9]       )

			for _ in range(9       ):
						_UpperCAmelCase									=  1
						_UpperCAmelCase									=  number // 10

			# check first 9 numbers for pandigitality

			for x in range(9       ):
						if not check_front[x + 1]:
									_UpperCAmelCase									=  False
			return f





def 				A      (	_UpperCAmelCase							:  int       )							->					bool:







			'''simple docstring'''
			_UpperCAmelCase									=  [0] * 11

			# mark last 9 numbers
			for _ in range(9       ):
						_UpperCAmelCase									=  1
						_UpperCAmelCase									=  number // 10
			# flag
			_UpperCAmelCase									=  True

			# check last 9 numbers for pandigitality

			for x in range(9       ):
						if not check_last[x + 1]:
									_UpperCAmelCase									=  False
			return f





def 				A      (	)							->					int:







			'''simple docstring'''
			_UpperCAmelCase									=  1
			_UpperCAmelCase									=  1
			_UpperCAmelCase									=  2
			# temporary Fibonacci numbers

			_UpperCAmelCase									=  1
			_UpperCAmelCase									=  1
			_UpperCAmelCase									=  2
			# temporary Fibonacci numbers mod 1e9

			# mod m=1e9, done for fast optimisation
			_UpperCAmelCase									=  [0] * 1_000_000
			_UpperCAmelCase									=  1_000_000_000

			for x in range(1_000_000       ):
						_UpperCAmelCase									=  (aa + ba) % m
						_UpperCAmelCase									=  ba % m
						_UpperCAmelCase									=  ca % m
						if checka(_UpperCAmelCase       ):
									_UpperCAmelCase									=  1

			for x in range(1_000_000       ):
						_UpperCAmelCase									=  a + b
						_UpperCAmelCase									=  b
						_UpperCAmelCase									=  c
						# perform check only if in tocheck
						if tocheck[x + 3] and check(_UpperCAmelCase       ):
									return x + 3  # first 2 already done
			return -1


if __name__ == "__main__":
							print(f"""{solution() = }""")
