code: 
  
  
  
  
  
  
  """simple docstring"""
  
  import math
  from itertools import permutations
  
  def 	__lowerCamelCase			(						__UpperCamelCase )		->					bool:
  
  		"""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(__UpperCamelCase ) + 1 )   , 6 ):
  				if number % i == 0 or number % (i + 2) == 0:
  						return False
  		return True
  
  def 	__lowerCamelCase			(						__UpperCamelCase   , __UpperCamelCase )		->					bool:
  
  		"""simple docstring"""
  
  
  
  
  
  
  
  		lowerCAmelCase_     :							Tuple             =    0, len(__UpperCamelCase ) - 1
  		while left <= right:
  				lowerCAmelCase_     :							Optional[int]             =    (left + right) // 2
  				if prime_list[middle] == target:
  						return True
  				elif prime_list[middle] < target:
  						lowerCAmelCase_     :							Any             =    middle + 1
  				else:
  						lowerCAmelCase_     :							List[Any]             =    middle - 1
  
  		return False
  
  def 	__lowerCamelCase			(						)		->					Tuple:
  
  		"""simple docstring"""
  
  
  
  
  
  
  
  		lowerCAmelCase_     :							List[str]             =    [n for n in range(1001   , 10000   , 2 ) if is_prime(__UpperCamelCase )]
  		lowerCAmelCase_     :							Optional[Any]             =    []
  
  		for number in prime_list:
  				lowerCAmelCase_     :							Union[str, Any]             =    []
  
  				for prime_member in permutations(list(str(__UpperCamelCase ) ) ):
  						lowerCAmelCase_     :							Tuple             =    int("".join(__UpperCamelCase ) )
  
  						if prime % 2 == 0:
  								continue
  
  						if search(__UpperCamelCase   , __UpperCamelCase ):
  								tmp_numbers.append(__UpperCamelCase )
  
  				tmp_numbers.sort()
  				if len(__UpperCamelCase ) >= 3:
  						candidates.append(__UpperCamelCase )
  
  		lowerCAmelCase_     :							List[str]             =    []
  		for candidate in candidates:
  				lowerCAmelCase_     :							str             =    len(__UpperCamelCase )
  				lowerCAmelCase_     :							List[Any]             =    False
  
  				for i in range(__UpperCamelCase ):
  						for j in range(i + 1   , __UpperCamelCase ):
  								for k in range(j + 1   , __UpperCamelCase ):
  										if (
  										    abs(candidate[i] - candidate[j] )
  										    == abs(candidate[j] - candidate[k] )
  										    and len({candidate[i], candidate[j], candidate[k]} ) == 3
  										):
  												passed.append(
  												    sorted([candidate[i], candidate[j], candidate[k]] ) )
  												lowerCAmelCase_     :							int             =    True
  
  										if found:
  												break
  								if found:
  										break
  						if found:
  								break
  
  		lowerCAmelCase_     :							Union[str, Any]             =    set()
  		for seq in passed:
  				answer.add("".join([str(__UpperCamelCase ) for i in seq] ) )
  
  		return max(int(__UpperCamelCase ) for x in answer )
  
  
  if __name__ == "__main__":
  					print(solution())
  
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  """simple docstring"""
  
  import os
  import unittest
  
  from transformers import RealmTokenizerFast
  from transformers.models.bert.tokenization_bert import (
      VOCAB_FILES_NAMES,
      BasicTokenizer,
      WordpieceTokenizer,
      _is_control,
      _is_punctuation,
      _is_whitespace,
  )
  from transformers.models.realm.tokenization_realm import RealmTokenizer
  from transformers.testing_utils import require_tokenizers, slow
  
  from ...test_tokenization_common import TokenizerTesterMixin, filter_non_english
  
  
  @require_tokenizers
  class 	__lowerCamelCase       (				A__				,							unittest.TestCase    ):
  
  
  
  
  
  		'''simple docstring'''
  
  
  
  
  
  
  		a_			:       List[str]      =							RealmTokenizer
  		a_			:       int      =							RealmTokenizerFast
  		a_			:       str      =							True
  		a_			:       Tuple      =							True
  		a_			:       List[Any]      =							filter_non_english
  
  
  
  
  
  		def      lowerCamelCase (     self							:			int			):
  				super().setUp()
  
  				lowerCAmelCase_     :							int             =    [
  				    "[UNK]",
  				    "[CLS]",
  				    "[SEP]",
  				    "[PAD]",
  				    "[MASK]",
  				    "want",
  				    "##want",
  				    "##ed",
  				    "wa",
  				    "un",
  				    "runn",
  				    "##ing",
  				    ",",
  				    "low",
  				    "lowest",
  				]
  				lowerCAmelCase_     :							List[Any]             =    os.path.join(self.tmpdirname		,    VOCAB_FILES_NAMES["vocab_file"]			)
  				with open(self.vocab_file		,    "w"		,    encoding="utf-8"			) as vocab_writer:
  						vocab_writer.write("".join([x + "\n" for x in vocab_tokens]			)			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[int]		,    a_							:			Any			):
  				lowerCAmelCase_     :							int             =    "UNwant\u00E9d,running"
  				lowerCAmelCase_     :							Optional[Any]             =    "unwanted, running"
  				return input_text, output_text
  
  
  
  
  
  		def      lowerCamelCase (     self							:			int			):
  				lowerCAmelCase_     :							Tuple             =    self.tokenizer_class(self.vocab_file			)
  
  				lowerCAmelCase_     :							List[str]             =    tokenizer.tokenize("UNwant\u00E9d,running"			)
  				self.assertListEqual(a_		,    ["un", "##want", "##ed", ",", "runn", "##ing"]			)
  				self.assertListEqual(tokenizer.convert_tokens_to_ids(a_			)		,    [9, 6, 7, 12, 10, 11]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Dict			):
  				if not self.test_rust_tokenizer:
  						return
  
  				lowerCAmelCase_     :							str             =    self.get_tokenizer()
  				lowerCAmelCase_     :							List[str]             =    self.get_rust_tokenizer()
  
  				lowerCAmelCase_     :							Optional[Any]             =    "UNwant\u00E9d,running"
  
  				lowerCAmelCase_     :							Optional[Any]             =    tokenizer.tokenize(a_			)
  				lowerCAmelCase_     :							List[Any]             =    rust_tokenizer.tokenize(a_			)
  				self.assertListEqual(a_		,    a_			)
  
  				lowerCAmelCase_     :							str             =    tokenizer.encode(a_		,    add_special_tokens=a_			)
  				lowerCAmelCase_     :							Dict             =    rust_tokenizer.encode(a_		,    add_special_tokens=a_			)
  				self.assertListEqual(a_		,    a_			)
  
  				lowerCAmelCase_     :							int             =    self.get_rust_tokenizer()
  				lowerCAmelCase_     :							Any             =    tokenizer.encode(a_			)
  				lowerCAmelCase_     :							Union[str, Any]             =    rust_tokenizer.encode(a_			)
  				self.assertListEqual(a_		,    a_			)
  
  				# With lower casing
  				lowerCAmelCase_     :							Dict             =    self.get_tokenizer(do_lower_case=a_			)
  				lowerCAmelCase_     :							List[str]             =    self.get_rust_tokenizer(do_lower_case=a_			)
  
  				lowerCAmelCase_     :							Dict             =    "UNwant\u00E9d,running"
  
  				lowerCAmelCase_     :							Union[str, Any]             =    tokenizer.tokenize(a_			)
  				lowerCAmelCase_     :							Union[str, Any]             =    rust_tokenizer.tokenize(a_			)
  				self.assertListEqual(a_		,    a_			)
  
  				lowerCAmelCase_     :							Optional[Any]             =    tokenizer.encode(a_		,    add_special_tokens=a_			)
  				lowerCAmelCase_     :							Dict             =    rust_tokenizer.encode(a_		,    add_special_tokens=a_			)
  				self.assertListEqual(a_		,    a_			)
  
  				lowerCAmelCase_     :							str             =    self.get_rust_tokenizer()
  				lowerCAmelCase_     :							str             =    tokenizer.encode(a_			)
  				lowerCAmelCase_     :							Optional[int]             =    rust_tokenizer.encode(a_			)
  				self.assertListEqual(a_		,    a_			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[int]			):
  				lowerCAmelCase_     :							Any             =    BasicTokenizer()
  
  				self.assertListEqual(tokenizer.tokenize("ah\u535A\u63A8zz"			)		,    ["ah", "\u535A", "\u63A8", "zz"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Tuple			):
  				lowerCAmelCase_     :							Dict             =    BasicTokenizer(do_lower_case=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "			)		,    ["hello", "!", "how", "are", "you", "?"]			)
  				self.assertListEqual(tokenizer.tokenize("H\u00E9llo"			)		,    ["hello"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[Any]			):
  				lowerCAmelCase_     :							Optional[int]             =    BasicTokenizer(do_lower_case=a_		,    strip_accents=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "			)		,    ["hällo", "!", "how", "are", "you", "?"]			)
  				self.assertListEqual(tokenizer.tokenize("H\u00E9llo"			)		,    ["h\u00E9llo"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Tuple			):
  				lowerCAmelCase_     :							Dict             =    BasicTokenizer(do_lower_case=a_		,    strip_accents=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "			)		,    ["hallo", "!", "how", "are", "you", "?"]			)
  				self.assertListEqual(tokenizer.tokenize("H\u00E9llo"			)		,    ["hello"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			str			):
  				lowerCAmelCase_     :							List[Any]             =    BasicTokenizer(do_lower_case=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "			)		,    ["hallo", "!", "how", "are", "you", "?"]			)
  				self.assertListEqual(tokenizer.tokenize("H\u00E9llo"			)		,    ["hello"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			List[Any]			):
  				lowerCAmelCase_     :							Optional[Any]             =    BasicTokenizer(do_lower_case=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "			)		,    ["HeLLo", "!", "how", "Are", "yoU", "?"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			List[Any]			):
  				lowerCAmelCase_     :							List[Any]             =    BasicTokenizer(do_lower_case=a_		,    strip_accents=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "			)		,    ["HäLLo", "!", "how", "Are", "yoU", "?"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Dict			):
  				lowerCAmelCase_     :							List[str]             =    BasicTokenizer(do_lower_case=a_		,    strip_accents=a_			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "			)		,    ["HaLLo", "!", "how", "Are", "yoU", "?"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			List[str]			):
  				lowerCAmelCase_     :							Any             =    BasicTokenizer(do_lower_case=a_		,    never_split=["[UNK]"]			)
  
  				self.assertListEqual(
  				    tokenizer.tokenize(" \tHeLLo!how  \n Are yoU? [UNK]"			)		,    ["HeLLo", "!", "how", "Are", "yoU", "?", "[UNK]"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[Any]			):
  				lowerCAmelCase_     :							int             =    ["[UNK]", "[CLS]", "[SEP]", "want", "##want", "##ed", "wa", "un", "runn", "##ing"]
  
  				lowerCAmelCase_     :							Union[str, Any]             =    {}
  				for i, token in enumerate(a_			):
  						lowerCAmelCase_     :							Any             =    i
  				lowerCAmelCase_     :							int             =    WordpieceTokenizer(vocab=a_		,    unk_token="[UNK]"			)
  
  				self.assertListEqual(tokenizer.tokenize(""			)		,    []			)
  
  				self.assertListEqual(tokenizer.tokenize("unwanted running"			)		,    ["un", "##want", "##ed", "runn", "##ing"]			)
  
  				self.assertListEqual(tokenizer.tokenize("unwantedX running"			)		,    ["[UNK]", "runn", "##ing"]			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Tuple			):
  				self.assertTrue(_is_whitespace(" "			)			)
  				self.assertTrue(_is_whitespace("\t"			)			)
  				self.assertTrue(_is_whitespace("\r"			)			)
  				self.assertTrue(_is_whitespace("\n"			)			)
  				self.assertTrue(_is_whitespace("\u00A0"			)			)
  
  				self.assertFalse(_is_whitespace("A"			)			)
  				self.assertFalse(_is_whitespace("-"			)			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[Any]			):
  				self.assertTrue(_is_control("\u0005"			)			)
  
  				self.assertFalse(_is_control("A"			)			)
  				self.assertFalse(_is_control(" "			)			)
  				self.assertFalse(_is_control("\t"			)			)
  				self.assertFalse(_is_control("\r"			)			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			str			):
  				self.assertTrue(_is_punctuation("-"			)			)
  				self.assertTrue(_is_punctuation("$"			)			)
  				self.assertTrue(_is_punctuation("`"			)			)
  				self.assertTrue(_is_punctuation("."			)			)
  
  				self.assertFalse(_is_punctuation("A"			)			)
  				self.assertFalse(_is_punctuation(" "			)			)
  
  
  
  
  
  		def      lowerCamelCase (     self							:			str			):
  				lowerCAmelCase_     :							Any             =    self.get_tokenizer()
  
  				# Example taken from the issue https://github.com/huggingface/tokenizers/issues/340
  				self.assertListEqual([tokenizer.tokenize(a_			) for t in ["Test", "\xad", "test"]]		,    [["[UNK]"], [], ["[UNK]"]]			)
  
  				if self.test_rust_tokenizer:
  						lowerCAmelCase_     :							str             =    self.get_rust_tokenizer()
  						self.assertListEqual(
  						    [rust_tokenizer.tokenize(a_			) for t in ["Test", "\xad", "test"]]		,    [["[UNK]"], [], ["[UNK]"]]			)
  
  
  
  
  
  		@slow
  		def      lowerCamelCase (     self							:			int			):
  				lowerCAmelCase_     :							int             =    self.tokenizer_class.from_pretrained("bert-base-uncased"			)
  
  				lowerCAmelCase_     :							List[Any]             =    tokenizer.encode("sequence builders"		,    add_special_tokens=a_			)
  				lowerCAmelCase_     :							Optional[int]             =    tokenizer.encode("multi-sequence build"		,    add_special_tokens=a_			)
  
  				lowerCAmelCase_     :							Dict             =    tokenizer.build_inputs_with_special_tokens(a_			)
  				lowerCAmelCase_     :							Tuple             =    tokenizer.build_inputs_with_special_tokens(a_		,    a_			)
  
  				assert encoded_sentence == [1_01] + text + [1_02]
  				assert encoded_pair == [1_01] + text + [1_02] + text_a + [1_02]
  
  
  
  
  
  		def      lowerCamelCase (     self							:			Optional[int]			):
  				for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
  						with self.subTest(f'''{tokenizer.__class__.__name__} ({pretrained_name})'''			):
  								lowerCAmelCase_     :							Tuple             =    self.rust_tokenizer_class.from_pretrained(a_		,    **a_			)
  
  								lowerCAmelCase_     :							Tuple             =    f'''A, naïve {tokenizer_r.mask_token} AllenNLP sentence.'''
  								lowerCAmelCase_     :							List[str]             =    tokenizer_r.encode_plus(
  								    a_		,    return_attention_mask=a_		,    return_token_type_ids=a_		,    return_offsets_mapping=a_		,    add_special_tokens=a_		,    )
  
  								lowerCAmelCase_     :							List[str]             =    tokenizer_r.do_lower_case if hasattr(a_		,    "do_lower_case"			) else False
  								lowerCAmelCase_     :							int             =    (
  								    [
  								        ((0, 0), tokenizer_r.cls_token),
  								        ((0, 1), "A"),
  								        ((1, 2), ","),
  								        ((3, 5), "na"),
  								        ((5, 6), "##ï"),
  								        ((6, 8), "##ve"),
  								        ((9, 15), tokenizer_r.mask_token),
  								        ((16, 21), "Allen"),
  								        ((21, 23), "##NL"),
  								        ((23, 24), "##P"),
  								        ((25, 33), "sentence"),
  								        ((33, 34), "."),
  								        ((0, 0), tokenizer_r.sep_token),
  								    ]
  								    if not do_lower_case
  								    else [
  								        ((0, 0), tokenizer_r.cls_token),
  								        ((0, 1), "a"),
  								        ((1, 2), ","),
  								        ((3, 8), "naive"),
  								        ((9, 15), tokenizer_r.mask_token),
  								        ((16, 21), "allen"),
  								        ((21, 23), "##nl"),
  								        ((23, 24), "##p"),
  								        ((25, 33), "sentence"),
  								        ((33, 34), "."),
  								        ((0, 0), tokenizer_r.sep_token),
  								    ]
  								)
  
  								self.assertEqual(
  								    [e[1] for e in expected_results]		,    tokenizer_r.convert_ids_to_tokens(tokens["input_ids"]			)			)
  								self.assertEqual([e[0] for e in expected_results]		,    tokens["offset_mapping"]			)
  
  
  
  
  
  		@slow
  		def      lowerCamelCase (     self							:			int			):
  				for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
  						with self.subTest(f'''{tokenizer.__class__.__name__} ({pretrained_name})'''			):
  								lowerCAmelCase_     :							Tuple             =    self.rust_tokenizer_class.from_pretrained(a_		,    **a_			)
  								lowerCAmelCase_     :							Tuple             =    self.tokenizer_class.from_pretrained(a_		,    **a_			)
  								lowerCAmelCase_     :							Dict             =    [["Hello world!", "Nice to meet you!"], ["The cute cat.", "The adorable dog."]]
  
  								lowerCAmelCase_     :							Optional[Any]             =    tokenizer_r.batch_encode_candidates(a_		,    max_length=10		,    return_tensors="np"			)
  								lowerCAmelCase_     :							int             =    tokenizer_p.batch_encode_candidates(a_		,    max_length=10		,    return_tensors="np"			)
  
  								lowerCAmelCase_     :							Dict             =    (2, 2, 10)
  
  								self.assertEqual(encoded_sentence_r["input_ids"].shape		,    a_			)
  								self.assertEqual(encoded_sentence_r["attention_mask"].shape		,    a_			)
  								self.assertEqual(encoded_sentence_r["token_type_ids"].shape		,    a_			)
  
  								self.assertEqual(encoded_sentence_p["input_ids"].shape		,    a_			)
  								self.assertEqual(encoded_sentence_p["attention_mask"].shape		,    a_			)
  								self.assertEqual(encoded_sentence_p["token_type_ids"].shape		,    a_			)
  