code: 
  
  
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  from __future__ import annotations
  
  from collections import Counter
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	[True] * n
      _lowercase     =	False
      _lowercase     =	False
      _lowercase     =	True
  
      for i in range(3,      int(n**0.5 + 1      ),      2      ):
          _lowercase     =	i * 2
          while index < n:
              _lowercase     =	False
              _lowercase     =	index + i
  
      _lowercase     =	[2]
  
      for i in range(3,      _lowercase,      2      ):
          if is_prime[i]:
              primes.append(_lowercase      )
  
      return primes
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	str(_lowercase      )
      _lowercase     =	[]
      _lowercase     =	['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
  
      for duplicate in Counter(_lowercase      ) - Counter(set(_lowercase      )      ):
          _lowercase     =	[int(number_str.replace(_lowercase,      _lowercase      )      ) for digit in digits]
          replacements.append(_lowercase      )
  
      return replacements
  def        UpperCAmelCase      (   _lowercase = 8      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	set()
  
      # Filter primes with less than 3 replaceable digits
      _lowercase     =	{
          x for x in set(prime_sieve(1000000      )      ) if len(str(_lowercase      )      ) - len(set(str(_lowercase      )      )      ) >= 3
      }
  
      for prime in primes:
          if prime in numbers_checked:
              continue
  
          _lowercase     =	digit_replacements(_lowercase      )
  
          for family in replacements:
              numbers_checked.update(_lowercase      )
              _lowercase     =	primes.intersection(_lowercase      )
  
              if len(_lowercase      ) != family_length:
                  continue
  
              return min(_lowercase      )
  
      return -1
  
  
  if __name__ == "__main__":
     print(solution())
  
style_context: 
  
  
  
  
  
  
  from __future__ import annotations
  def        UpperCAmelCase      (   _lowercase,      _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      _lowercase     =	[None] * (len(_lowercase      ) + len(_lowercase      ))
  
      _lowercase     =	0  # pointer to current index for left Half
      _lowercase     =	0  # pointer to current index for the right Half
      _lowercase     =	0  # pointer to current index for the sorted array Half
  
      while pointera < len(_lowercase      ) and pointera < len(_lowercase      ):
          if left_half[pointera] < right_half[pointera]:
              _lowercase     =	left_half[pointera]
              pointera += 1
              index += 1
          else:
              _lowercase     =	right_half[pointera]
              pointera += 1
              index += 1
      while pointera < len(_lowercase      ):
          _lowercase     =	left_half[pointera]
          pointera += 1
          index += 1
  
      while pointera < len(_lowercase      ):
          _lowercase     =	right_half[pointera]
          pointera += 1
          index += 1
  
      return sorted_array
  def        UpperCAmelCase      (   _lowercase      ):
  
  
      '''simple docstring'''
  
  
  
      if len(_lowercase      ) <= 1:
          return array
      # the actual formula to calculate the middle element = left + (right - left) // 2
      # this avoids integer overflow in case of large N
      _lowercase     =	0 + (len(_lowercase      ) - 0) // 2
  
      # Split the array into halves till the array length becomes equal to One
      # merge the arrays of single length returned by mergeSort function and
      # pass them into the merge arrays function which merges the array
      _lowercase     =	array[:middle]
      _lowercase     =	array[middle:]
  
      return merge(merge_sort(_lowercase      ),      merge_sort(_lowercase      )      )
  
  
  if __name__ == "__main__":
     import doctest
  
     doctest.testmod()
  