





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__: Dict							   =						[
    '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       UpperCamelCase__(			UpperCamelCase__     :			List[Any]					,	UpperCamelCase__     :			Tuple=None    )->Tuple:
       require_version(deps[pkg]					,	UpperCamelCase__    )












import itertools
import math


def       UpperCamelCase__(			UpperCamelCase__     :			int    )->bool:

       if 1 < number < 4:
              # 2 and 3 are primes
              return True
       elif number < 2 or number % 2 == 0 or number % 3 == 0:
              # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
              return False

       # All primes number are in format of 6k +/- 1
       for i in range(5					,	int(math.sqrt(UpperCamelCase__    ) + 1    )					,	6    ):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True


def       UpperCamelCase__(			)->Tuple:
       A__		   =		2
       while True:
              if is_prime(UpperCamelCase__    ):
                     yield num
              num += 1


def       UpperCamelCase__(			UpperCamelCase__     :			int = 1_00_01    )->int:
       return next(itertools.islice(prime_generator()					,	nth - 1					,	UpperCamelCase__    )    )


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





