




'''simple docstring'''







from typing import Dict, List, Optional, Tuple

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


_lowerCamelCase							:						int								=  logging.get_logger(__name__)





class      lowerCamelCase_							(       UpperCAmelCase_							):




					'''simple docstring'''






					lowercase__    = ["""input_ids""", """attention_mask"""]






					def __init__(    self,  __UpperCamelCase="[PAD]",  __UpperCamelCase="[BOS]",  __UpperCamelCase="[EOS]",  __UpperCamelCase="[MASK]",  __UpperCamelCase="[CLS]",  __UpperCamelCase="[SEP]",  __UpperCamelCase=2_048,  **__UpperCamelCase,  ):
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else pad_token
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else bos_token
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else eos_token
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else mask_token
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else cls_token
							_snake_case	       =       AddedToken(__UpperCamelCase,  lstrip=__UpperCamelCase,  rstrip=__UpperCamelCase ) if isinstance(__UpperCamelCase,  __UpperCamelCase ) else sep_token

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

							_snake_case	       =       2**8  # utf is 8 bits

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






					def 				__SCREAMING_SNAKE_CASE	(    self ):
							_snake_case	       =       self.special_tokens_encoder.copy()
							vocab.update(self.added_tokens_encoder )
							for i in range(self._utf_vocab_size ):
									_snake_case	       =       chr(__UpperCamelCase )
									_snake_case	       =       i + len(self.special_tokens_encoder )
							return vocab






					@property
					def 				__SCREAMING_SNAKE_CASE	(    self ):
							return self._utf_vocab_size + self._num_special_tokens






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase,  __UpperCamelCase = None,  __UpperCamelCase = False ):
							if already_has_special_tokens:
									return super().get_special_tokens_mask(
									    token_ids_a=__UpperCamelCase,  token_ids_a=__UpperCamelCase,  already_has_special_tokens=__UpperCamelCase )

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






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase,  __UpperCamelCase = 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 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							_snake_case	       =       [chr(__UpperCamelCase ) for i in text.encode("utf-8" )]
							return tokens






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							if token in self.special_tokens_encoder:
									_snake_case	       =       self.special_tokens_encoder[token]
							elif token in self.added_tokens_encoder:
									_snake_case	       =       self.added_tokens_encoder[token]
							elif len(__UpperCamelCase ) != 1:
									_snake_case	       =       self.unk_token_id
							else:
									_snake_case	       =       ord(__UpperCamelCase ) + self._num_special_tokens
							return token_id






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase ):
							if index in self.special_tokens_decoder:
									_snake_case	       =       self.special_tokens_decoder[index]
							elif index in self.added_tokens_decoder:
									_snake_case	       =       self.added_tokens_decoder[index]
							else:
									_snake_case	       =       chr(index - self._num_special_tokens )
							return token






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






					def 				__SCREAMING_SNAKE_CASE	(    self,  __UpperCamelCase,  __UpperCamelCase = None ):
							return ()











'''simple docstring'''







from __future__ import annotations

import math
from itertools import permutations






def 		_lowercase		(	lowercase_  ):



		'''simple docstring'''







		if 1 < number < 4:
				# 2 and 3 are primes
				return True
		elif number < 2 or number % 2 == 0 or number % 3 == 0:
				# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
				return False

		# All primes number are in format of 6k +/- 1
		for i in range(5						,							int(math.sqrt(lowercase_  ) + 1  )						,							6  ):
				if number % i == 0 or number % (i + 2) == 0:
						return False
		return True






def 		_lowercase		(	lowercase_ = 7  ):



		'''simple docstring'''







		_snake_case	       =       "".join(str(lowercase_  ) for i in range(1						,							n + 1  )  )
		_snake_case	       =       [int("".join(lowercase_  )  ) for i in permutations(lowercase_						,							lowercase_  )]
		_snake_case	       =       [num for num in perm_list if is_prime(lowercase_  )]
		return max(lowercase_  ) if pandigitals else 0


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





