





import math



def 				lowerCAmelCase_ (							A_):
    UpperCamelCase__:	int					=     []
    UpperCamelCase__:	Optional[Any]					=     2
    UpperCamelCase__:	List[str]					=     int(math.sqrt(A_))  # Size of every segment
    UpperCamelCase__:	List[str]					=     [True] * (end + 1)
    UpperCamelCase__:	Optional[Any]					=     []

    while start <= end:
        if temp[start] is True:
            in_prime.append(A_)
            for i in range(start * start    ,end + 1    ,A_):
                UpperCamelCase__:	Union[str, Any]					=     False
        start += 1
    prime += in_prime

    UpperCamelCase__:	Dict					=     end + 1
    UpperCamelCase__:	List[str]					=     min(2 * end    ,A_)

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

            for j in range(A_    ,high + 1    ,A_):
                UpperCamelCase__:	str					=     False

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

        UpperCamelCase__:	Any					=     high + 1
        UpperCamelCase__:	str					=     min(high + end    ,A_)

    return prime




print(sieve(10**6))








from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

A__:    Union[str, Any]  	=	[
    '''python''',
    '''tqdm''',
    '''regex''',
    '''requests''',
    '''packaging''',
    '''filelock''',
    '''numpy''',
    '''tokenizers''',
    '''huggingface-hub''',
    '''safetensors''',
    '''accelerate''',
    '''pyyaml''',
]

for pkg in pkgs_to_check_at_runtime:
   if pkg in deps:
      if pkg == "tokenizers":
         # must be loaded here, or else tqdm check may fail
         from .utils import is_tokenizers_available

         if not is_tokenizers_available():
            continue  # not required, check version only if installed
      elif pkg == "accelerate":
         # must be loaded here, or else tqdm check may fail
         from .utils import is_accelerate_available

         # Maybe switch to is_torch_available in the future here so that Accelerate is hard dep of
         # Transformers with PyTorch
         if not is_accelerate_available():
            continue  # not required, check version only if installed

      require_version_core(deps[pkg])
   else:
      raise ValueError(f"can't find {pkg} in {deps.keys()}, check dependency_versions_table.py")



def 				lowerCAmelCase_ (							A_    ,A_=None):
    require_version(deps[pkg]    ,A_)

