






"""simple docstring"""




import math






def        lowerCAmelCase (      UpperCamelCase_:							List[str]	)       ->							Tuple:







  '''simple docstring'''







  _a							=	[]
  _a							=	2
  _a							=	int(math.sqrt(_lowercase	)	)  # Size of every segment
  _a							=	[True] * (end + 1)
  _a							=	[]

  while start <= end:
    if temp[start] is True:
      in_prime.append(_lowercase	)
      for i in range(start * start     , end + 1     , _lowercase	):
        _a							=	False
    start += 1
  prime += in_prime

  _a							=	end + 1
  _a							=	min(2 * end     , _lowercase	)

  while low <= n:
    _a							=	[True] * (high - low + 1)
    for each in in_prime:
      _a							=	math.floor(low / each	) * each
      if t < low:
        t += each

      for j in range(_lowercase     , high + 1     , _lowercase	):
        _a							=	False

    for j in range(len(_lowercase	)	):
      if temp[j] is True:
        prime.append(j + low	)

    _a							=	high + 1
    _a							=	min(high + end     , _lowercase	)

  return prime




print(sieve(10**6))










"""simple docstring"""




from ..utils import DummyObject, requires_backends




class    lowercase_    (metaclass=_UpperCAmelCase     ):
      A__	:		Any       			=				['''torch''', '''torchsde''']






      def __init__(    self     ,     *a_     ,     **a_	)	->Optional[int]:







        '''simple docstring'''


        requires_backends(self     ,     ["torch", "torchsde"]	)






      @classmethod
      def 			lowerCamelCase__    (    cls     ,     *a_     ,     **a_	)	->List[Any]:







        '''simple docstring'''


        requires_backends(cls     ,     ["torch", "torchsde"]	)






      @classmethod
      def 			lowerCamelCase__    (    cls     ,     *a_     ,     **a_	)	->str:







        '''simple docstring'''


        requires_backends(cls     ,     ["torch", "torchsde"]	)


