




'''simple docstring'''






from __future__ import annotations

from collections import Counter




def 		a_( lowerCamelCase      )				->list[int]:






       '''simple docstring'''




       lowercase  :		List[Any]						=      [True] * n
       lowercase  :		str						=      False
       lowercase  :		Optional[Any]						=      False
       lowercase  :		List[Any]						=      True

       for i in range(3   ,				int(n**0.5 + 1      )   ,				2      ):
              lowercase  :		List[Any]						=      i * 2
              while index < n:
                     lowercase  :		int						=      False
                     lowercase  :		Union[str, Any]						=      index + i

       lowercase  :		Optional[int]						=      [2]

       for i in range(3   ,				lowerCamelCase   ,				2      ):
              if is_prime[i]:
                     primes.append(lowerCamelCase      )

       return primes




def 		a_( lowerCamelCase      )				->list[list[int]]:






       '''simple docstring'''




       lowercase  :		Optional[Any]						=      str(lowerCamelCase      )
       lowercase  :		Tuple						=      []
       lowercase  :		List[Any]						=      ['''0''', '''1''', '''2''', '''3''', '''4''', '''5''', '''6''', '''7''', '''8''', '''9''']

       for duplicate in Counter(lowerCamelCase      ) - Counter(set(lowerCamelCase      )      ):
              lowercase  :		Union[str, Any]						=      [int(number_str.replace(lowerCamelCase   ,				lowerCamelCase      )      ) for digit in digits]
              replacements.append(lowerCamelCase      )

       return replacements




def 		a_( lowerCamelCase = 8      )				->int:






       '''simple docstring'''




       lowercase  :		List[str]						=      set()

       # Filter primes with less than 3 replaceable digits
       lowercase  :		Dict						=      {
           x for x in set(prime_sieve(100_0000      )      ) if len(str(lowerCamelCase      )      ) - len(set(str(lowerCamelCase      )      )      ) >= 3
       }

       for prime in primes:
              if prime in numbers_checked:
                     continue

              lowercase  :		List[Any]						=      digit_replacements(lowerCamelCase      )

              for family in replacements:
                     numbers_checked.update(lowerCamelCase      )
                     lowercase  :		Union[str, Any]						=      primes.intersection(lowerCamelCase      )

                     if len(lowerCamelCase      ) != family_length:
                            continue

                     return min(lowerCamelCase      )

       return -1


if __name__ == "__main__":
      print(solution())










'''simple docstring'''






class   SCREAMING_SNAKE_CASE_		:



 def __init__(  self ):






        '''simple docstring'''




        lowercase  :		List[str]						=      [0, 1]





 def    SCREAMING_SNAKE_CASE(  self   ,		A ):






        '''simple docstring'''




        if (difference := index - (len(self.sequence ) - 2)) >= 1:
               for _ in range(A ):
                      self.sequence.append(self.sequence[-1] + self.sequence[-2] )
        return self.sequence[:index]






def 		a_( )				->None:






       '''simple docstring'''




       print(
           '''Fibonacci Series Using Dynamic Programming\n'''   ,				'''Enter the index of the Fibonacci number you want to calculate '''   ,				'''in the prompt below. (To exit enter exit or Ctrl-C)\n'''   ,				sep=''''''   ,				)
       lowercase  :		Optional[int]						=      Fibonacci()

       while True:
              lowercase  :		str						=      input('''>> '''      )
              if prompt in {"exit", "quit"}:
                     break

              try:
                     lowercase  :		int						=      int(lowerCamelCase      )
              except ValueError:
                     print('''Enter a number or \'exit\''''      )
                     continue

              print(fibonacci.get(lowerCamelCase      )      )


if __name__ == "__main__":
      main()




