code: 
  
  
  '''simple docstring'''
  
  import numpy as np
  
  def _SCREAMING_SNAKE_CASE   (A						,				A="utf-8"						,				A="surrogatepass" ) -> List[str]:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         lowercase__       =				bin(int.from_bytes(text.encode(A						,				A )						,				'''big''' ) )[2:]
         return bits.zfill(8 * ((len(A ) + 7) // 8) )
  
  def _SCREAMING_SNAKE_CASE   (A						,				A="utf-8"						,				A="surrogatepass" ) -> Union[str, Any]:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         lowercase__       =				int(A						,				2 )
         return n.to_bytes((n.bit_length() + 7) // 8						,				'''big''' ).decode(A						,				A ) or "\0"
  
  def _SCREAMING_SNAKE_CASE   (A						,				A ) -> Any:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         if size_par + len(A ) <= 2**size_par - (len(A ) - 1):
                raise ValueError('''size of parity don\'t match with size of data''' )
  
         lowercase__       =				[]
         lowercase__       =				[]
         lowercase__       =				[bin(A )[2:] for x in range(1						,				size_par + len(A ) + 1 )]
  
         # sorted information data for the size of the output data
         lowercase__       =				[]
         # data position template + parity
         lowercase__       =				[]
         # parity bit counter
         lowercase__       =				0
         # counter position of data bits
         lowercase__       =				0
  
         for x in range(1						,				size_par + len(A ) + 1 ):
                # Performs a template of bit positions - who should be given,
                # and who should be parity
                if qtd_bp < size_par:
                       if (np.log(A ) / np.log(2 )).is_integer():
                              data_out_gab.append('''P''' )
                              lowercase__       =				qtd_bp + 1
                       else:
                              data_out_gab.append('''D''' )
                else:
                       data_out_gab.append('''D''' )
  
                # Sorts the data to the new output size
                if data_out_gab[-1] == "D":
                       data_ord.append(data[cont_data] )
                       cont_data += 1
                else:
                       data_ord.append(A )
  
      # Calculates parity
         lowercase__       =				0  # parity bit counter
         for bp in range(1						,				size_par + 1 ):
                # Bit counter one for a given parity
                lowercase__       =				0
                # counter to control the loop reading
                lowercase__       =				0
                for x in data_ord:
                       if x is not None:
                              try:
                                     lowercase__       =				(bin_pos[cont_loop])[-1 * (bp)]
                              except IndexError:
                                     lowercase__       =				'''0'''
                              if aux == "1" and x == "1":
                                     cont_bo += 1
                       cont_loop += 1
                parity.append(cont_bo % 2 )
  
                qtd_bp += 1
  
         # Mount the message
         lowercase__       =				0  # parity bit counter
         for x in range(0						,				size_par + len(A ) ):
                if data_ord[x] is None:
                       data_out.append(str(parity[cont_bp] ) )
                       cont_bp += 1
                else:
                       data_out.append(data_ord[x] )
  
         return data_out
  
  def _SCREAMING_SNAKE_CASE   (A						,				A ) -> Optional[Any]:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         lowercase__       =				[]
         # Parity bit counter
         lowercase__       =				0
         # Counter p data bit reading
         lowercase__       =				0
         # list of parity received
         lowercase__       =				[]
         lowercase__       =				[]
  
         for x in range(1						,				len(A ) + 1 ):
                # Performs a template of bit positions - who should be given,
                #  and who should be parity
                if qtd_bp < size_par and (np.log(A ) / np.log(2 )).is_integer():
                       data_out_gab.append('''P''' )
                       lowercase__       =				qtd_bp + 1
                else:
                       data_out_gab.append('''D''' )
  
                # Sorts the data to the new output size
                if data_out_gab[-1] == "D":
                       data_output.append(data[cont_data] )
                else:
                       parity_received.append(data[cont_data] )
                cont_data += 1
  
         # -----------calculates the parity with the data
         lowercase__       =				[]
         lowercase__       =				[]
         lowercase__       =				[bin(A )[2:] for x in range(1						,				size_par + len(A ) + 1 )]
  
         #  sorted information data for the size of the output data
         lowercase__       =				[]
         # Data position feedback + parity
         lowercase__       =				[]
         # Parity bit counter
         lowercase__       =				0
         # Counter p data bit reading
         lowercase__       =				0
  
         for x in range(1						,				size_par + len(A ) + 1 ):
                # Performs a template position of bits - who should be given,
                # and who should be parity
                if qtd_bp < size_par and (np.log(A ) / np.log(2 )).is_integer():
                       data_out_gab.append('''P''' )
                       lowercase__       =				qtd_bp + 1
                else:
                       data_out_gab.append('''D''' )
  
                # Sorts the data to the new output size
                if data_out_gab[-1] == "D":
                       data_ord.append(data_output[cont_data] )
                       cont_data += 1
                else:
                       data_ord.append(A )
  
      # Calculates parity
         lowercase__       =				0  # parity bit counter
         for bp in range(1						,				size_par + 1 ):
                # Bit counter one for a certain parity
                lowercase__       =				0
                # Counter to control loop reading
                lowercase__       =				0
                for x in data_ord:
                       if x is not None:
                              try:
                                     lowercase__       =				(bin_pos[cont_loop])[-1 * (bp)]
                              except IndexError:
                                     lowercase__       =				'''0'''
                              if aux == "1" and x == "1":
                                     cont_bo += 1
                       cont_loop += 1
                parity.append(str(cont_bo % 2 ) )
  
                qtd_bp += 1
  
         # Mount the message
         lowercase__       =				0  # Parity bit counter
         for x in range(0						,				size_par + len(A ) ):
                if data_ord[x] is None:
                       data_out.append(str(parity[cont_bp] ) )
                       cont_bp += 1
                else:
                       data_out.append(data_ord[x] )
  
         lowercase__       =				parity_received == parity
         return data_output, ack
  
  
  
  
  
style_context: 
  
  
  '''simple docstring'''
  
  from __future__ import annotations
  
  from collections import Counter
  
  def _SCREAMING_SNAKE_CASE   (A ) -> list[int]:
  
  
  
  
  
  
         """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						,				A						,				2 ):
                if is_prime[i]:
                       primes.append(A )
  
         return primes
  
  def _SCREAMING_SNAKE_CASE   (A ) -> list[list[int]]:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         lowercase__       =				str(A )
         lowercase__       =				[]
         lowercase__       =				['''0''', '''1''', '''2''', '''3''', '''4''', '''5''', '''6''', '''7''', '''8''', '''9''']
  
         for duplicate in Counter(A ) - Counter(set(A ) ):
                lowercase__       =				[int(number_str.replace(A						,				A ) ) for digit in digits]
                replacements.append(A )
  
         return replacements
  
  def _SCREAMING_SNAKE_CASE   (A = 8 ) -> int:
  
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         lowercase__       =				set()
  
         # Filter primes with less than 3 replaceable digits
         lowercase__       =				{
             x for x in set(prime_sieve(1_000_000 ) ) if len(str(A ) ) - len(set(str(A ) ) ) >= 3
         }
  
         for prime in primes:
                if prime in numbers_checked:
                       continue
  
                lowercase__       =				digit_replacements(A )
  
                for family in replacements:
                       numbers_checked.update(A )
                       lowercase__       =				primes.intersection(A )
  
                       if len(A ) != family_length:
                              continue
  
                       return min(A )
  
         return -1
  
  
  if __name__ == "__main__":
   print(solution())
  
  
  
  
  