





from __future__ import annotations


def 							__snake_case							(    lowerCAmelCase_	)				->						list[int]:
    SCREAMING_SNAKE_CASE__											=			[True] * limit
    SCREAMING_SNAKE_CASE__											=			False
    SCREAMING_SNAKE_CASE__											=			False
    SCREAMING_SNAKE_CASE__											=			True

    for i in range(3 ,							int(limit**0.5 + 1	) ,							2	):
        SCREAMING_SNAKE_CASE__											=			i * 2
        while index < limit:
            SCREAMING_SNAKE_CASE__											=			False
            SCREAMING_SNAKE_CASE__											=			index + i

    SCREAMING_SNAKE_CASE__											=			[2]

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

    return primes


def 							__snake_case							(    lowerCAmelCase_ = 1_0_0_0_0_0_0	)				->						int:
    SCREAMING_SNAKE_CASE__											=			prime_sieve(lowerCAmelCase_	)
    SCREAMING_SNAKE_CASE__											=			0
    SCREAMING_SNAKE_CASE__											=			0

    for i in range(len(lowerCAmelCase_	)	):
        for j in range(i + length ,							len(lowerCAmelCase_	)	):
            SCREAMING_SNAKE_CASE__											=			sum(primes[i:j]	)
            if sol >= ceiling:
                break

            if sol in primes:
                SCREAMING_SNAKE_CASE__											=			j - i
                SCREAMING_SNAKE_CASE__											=			sol

    return largest


if __name__ == "__main__":
  print(F'{solution() = }')







from ..utils import DummyObject, requires_backends





class 				a			(      metaclass=__lowercase			):
				SCREAMING_SNAKE_CASE__     :   List[Any]		      =     ['''torch''', '''scipy''']






				def __init__(  self			, *_lowerCAmelCase			, **_lowerCAmelCase					):

										"""simple docstring"""




										requires_backends(self			, ['''torch''', '''scipy''']					)






				@classmethod
				def 			snake_case_    (  cls			, *_lowerCAmelCase			, **_lowerCAmelCase					):

										"""simple docstring"""




										requires_backends(cls			, ['''torch''', '''scipy''']					)






				@classmethod
				def 			snake_case_    (  cls			, *_lowerCAmelCase			, **_lowerCAmelCase					):

										"""simple docstring"""




										requires_backends(cls			, ['''torch''', '''scipy''']					)



