import math




def    lowerCAmelCase_ (     __A							)     ->				list[int]:







      '''simple docstring'''


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

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

      UpperCAmelCase__								=  end + 1
      UpperCAmelCase__								=  min(2 * end,  __A							)

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

                  for j in range(__A,  high + 1,  __A							):
                        UpperCAmelCase__								=  False

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

            UpperCAmelCase__								=  high + 1
            UpperCAmelCase__								=  min(high + end,  __A							)

      return prime







print(sieve(1_0**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

UpperCamelCase__											=					[
    '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							)     ->				Dict:







      '''simple docstring'''


      require_version(deps[pkg],  __A							)



