code: 
  
  
  
  
  import math
  from itertools import permutations
  
  def lowercase						(     SCREAMING_SNAKE_CASE   ) ->       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(SCREAMING_SNAKE_CASE   ) + 1   )					,						6   ):
  						if number % i == 0 or number % (i + 2) == 0:
  									return False
  			return True
  
  def lowercase						(     SCREAMING_SNAKE_CASE					,						SCREAMING_SNAKE_CASE   ) ->       bool:
  
  
  			'''simple docstring'''
  
  
  
  
  
  
  
  			SCREAMING_SNAKE_CASE_	,		SCREAMING_SNAKE_CASE_			=	0, len(SCREAMING_SNAKE_CASE   ) - 1
  			while left <= right:
  						SCREAMING_SNAKE_CASE_			=	(left + right) // 2
  						if prime_list[middle] == target:
  									return True
  						elif prime_list[middle] < target:
  									SCREAMING_SNAKE_CASE_			=	middle + 1
  						else:
  									SCREAMING_SNAKE_CASE_			=	middle - 1
  
  			return False
  
  def lowercase						(     ) ->       Optional[Any]:
  
  
  			'''simple docstring'''
  
  
  
  
  
  
  
  			SCREAMING_SNAKE_CASE_			=	[n for n in range(10_01					,						1_00_00					,						2   ) if is_prime(SCREAMING_SNAKE_CASE   )]
  			SCREAMING_SNAKE_CASE_			=	[]
  
  			for number in prime_list:
  						SCREAMING_SNAKE_CASE_			=	[]
  
  						for prime_member in permutations(list(str(SCREAMING_SNAKE_CASE   )   )   ):
  									SCREAMING_SNAKE_CASE_			=	int(''.join(SCREAMING_SNAKE_CASE   )   )
  
  									if prime % 2 == 0:
  												continue
  
  									if search(SCREAMING_SNAKE_CASE					,						SCREAMING_SNAKE_CASE   ):
  												tmp_numbers.append(SCREAMING_SNAKE_CASE   )
  
  						tmp_numbers.sort()
  						if len(SCREAMING_SNAKE_CASE   ) >= 3:
  									candidates.append(SCREAMING_SNAKE_CASE   )
  
  			SCREAMING_SNAKE_CASE_			=	[]
  			for candidate in candidates:
  						SCREAMING_SNAKE_CASE_			=	len(SCREAMING_SNAKE_CASE   )
  						SCREAMING_SNAKE_CASE_			=	False
  
  						for i in range(SCREAMING_SNAKE_CASE   ):
  									for j in range(i + 1					,						SCREAMING_SNAKE_CASE   ):
  												for k in range(j + 1					,						SCREAMING_SNAKE_CASE   ):
  															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]]   )   )
  																		SCREAMING_SNAKE_CASE_			=	True
  
  															if found:
  																		break
  												if found:
  															break
  									if found:
  												break
  
  			SCREAMING_SNAKE_CASE_			=	set()
  			for seq in passed:
  						answer.add(''.join([str(SCREAMING_SNAKE_CASE   ) for i in seq]   )   )
  
  			return max(int(SCREAMING_SNAKE_CASE   ) for x in answer   )
  
  
  if __name__ == "__main__":
  				print(solution())
  
style_context: 
  
  
  
  
  from dataclasses import dataclass
  from typing import List, Optional, Union
  
  import numpy as np
  import PIL
  
  from ...utils import BaseOutput, is_invisible_watermark_available, is_torch_available, is_transformers_available
  
  
  
  @dataclass
  class 			a_					(    SCREAMING_SNAKE_CASE__    ):
  	A						       =   42
  
  
  if is_transformers_available() and is_torch_available() and is_invisible_watermark_available():
  				from .pipeline_stable_diffusion_xl import StableDiffusionXLPipeline
  				from .pipeline_stable_diffusion_xl_imgaimg import StableDiffusionXLImgaImgPipeline
  