


'''simple docstring'''

import doctest

import projectq
from projectq.ops import H, Measure

def _SCREAMING_SNAKE_CASE   (A ) -> int:






       """simple docstring"""







       lowercase__       =				quantum_engine.allocate_qubit()
       H | qubit
       Measure | qubit
       return int(A )


if __name__ == "__main__":
 doctest.testmod()

 # initialises a new quantum backend
 lowerCamelCase							:     Any								=			projectq.MainEngine()

 # Generate a list of 10 random numbers
 lowerCamelCase							:     List[str]								=			[get_random_number(quantum_engine) for _ in range(10)]

 # Flushes the quantum engine from memory
 quantum_engine.flush()

 print('Random numbers', random_numbers_list)








'''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())




