'''simple docstring'''




from typing import List, Optional, TypeVar

from .arrow_dataset import Dataset, _concatenate_map_style_datasets, _interleave_map_style_datasets
from .dataset_dict import DatasetDict, IterableDatasetDict
from .info import DatasetInfo
from .iterable_dataset import IterableDataset, _concatenate_iterable_datasets, _interleave_iterable_datasets
from .splits import NamedSplit
from .utils import logging
from .utils.py_utils import Literal


__SCREAMING_SNAKE_CASE       :     Union[str, Any]     =  logging.get_logger(__name__)


__SCREAMING_SNAKE_CASE       :     Tuple     =  TypeVar("""DatasetType""", Dataset, IterableDataset)

def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[DatasetType]			,	_UpperCAmelCase  :      Optional[List[float]] = None			,	_UpperCAmelCase  :      Optional[int] = None			,	_UpperCAmelCase  :      Optional[DatasetInfo] = None			,	_UpperCAmelCase  :      Optional[NamedSplit] = None			,	_UpperCAmelCase  :      Literal["first_exhausted", "all_exhausted"] = "first_exhausted"			,	)    ->    DatasetType:


       """simple docstring"""







       from .arrow_dataset import Dataset
       from .iterable_dataset import IterableDataset

       if not datasets:
              raise ValueError("Unable to interleave an empty list of datasets."    )
       for i, dataset in enumerate(_UpperCAmelCase    ):
              if not isinstance(_UpperCAmelCase			,	(Dataset, IterableDataset)    ):
                     if isinstance(_UpperCAmelCase			,	(DatasetDict, IterableDatasetDict)    ):
                            if not dataset:
                                   raise ValueError(
                                       F"""Expected a list of Dataset objects or a list of IterableDataset objects, but element at position {i} """
                                       "is an empty dataset dictionary."    )
                            raise ValueError(
                                F"""Dataset at position {i} has at least one split: {list(_UpperCAmelCase    )}\n"""
                                F"""Please pick one to interleave with the other datasets, for example: dataset['{next(iter(_UpperCAmelCase    )    )}']"""    )
                     raise ValueError(
                         F"""Expected a list of Dataset objects or a list of IterableDataset objects, but element at position {i} is a {type(_UpperCAmelCase    ).__name__}."""    )
              if i == 0:
                     _UpperCAmelCase      ,  _UpperCAmelCase     :  Dict							      =    (
                         (Dataset, IterableDataset) if isinstance(_UpperCAmelCase			,	_UpperCAmelCase    ) else (IterableDataset, Dataset)
                     )
              elif not isinstance(_UpperCAmelCase			,	_UpperCAmelCase    ):
                     raise ValueError(
                         F"""Unable to interleave a {dataset_type.__name__} (at position 0) with a {other_type.__name__} (at position {i}). Expected a list of Dataset objects or a list of IterableDataset objects."""    )
       if stopping_strategy not in ["first_exhausted", "all_exhausted"]:
              raise ValueError(F"""{stopping_strategy} is not supported. Please enter a valid stopping_strategy."""    )
       if dataset_type is Dataset:
              return _interleave_map_style_datasets(
                  _UpperCAmelCase			,	_UpperCAmelCase			,	_UpperCAmelCase			,	info=_UpperCAmelCase			,	split=_UpperCAmelCase			,	stopping_strategy=_UpperCAmelCase    )
       else:
              return _interleave_iterable_datasets(
                  _UpperCAmelCase			,	_UpperCAmelCase			,	_UpperCAmelCase			,	info=_UpperCAmelCase			,	split=_UpperCAmelCase			,	stopping_strategy=_UpperCAmelCase    )


def 	UpperCamelCase_							(					_UpperCAmelCase  :      List[DatasetType]			,	_UpperCAmelCase  :      Optional[DatasetInfo] = None			,	_UpperCAmelCase  :      Optional[NamedSplit] = None			,	_UpperCAmelCase  :      int = 0			,	)    ->    DatasetType:


       """simple docstring"""







       if not dsets:
              raise ValueError("Unable to concatenate an empty list of datasets."    )
       for i, dataset in enumerate(_UpperCAmelCase    ):
              if not isinstance(_UpperCAmelCase			,	(Dataset, IterableDataset)    ):
                     if isinstance(_UpperCAmelCase			,	(DatasetDict, IterableDatasetDict)    ):
                            if not dataset:
                                   raise ValueError(
                                       F"""Expected a list of Dataset objects or a list of IterableDataset objects, but element at position {i} """
                                       "is an empty dataset dictionary."    )
                            raise ValueError(
                                F"""Dataset at position {i} has at least one split: {list(_UpperCAmelCase    )}\n"""
                                F"""Please pick one to interleave with the other datasets, for example: dataset['{next(iter(_UpperCAmelCase    )    )}']"""    )
                     raise ValueError(
                         F"""Expected a list of Dataset objects or a list of IterableDataset objects, but element at position {i} is a {type(_UpperCAmelCase    ).__name__}."""    )
              if i == 0:
                     _UpperCAmelCase      ,  _UpperCAmelCase     :  Dict							      =    (
                         (Dataset, IterableDataset) if isinstance(_UpperCAmelCase			,	_UpperCAmelCase    ) else (IterableDataset, Dataset)
                     )
              elif not isinstance(_UpperCAmelCase			,	_UpperCAmelCase    ):
                     raise ValueError(
                         F"""Unable to interleave a {dataset_type.__name__} (at position 0) with a {other_type.__name__} (at position {i}). Expected a list of Dataset objects or a list of IterableDataset objects."""    )
       if dataset_type is Dataset:
              return _concatenate_map_style_datasets(_UpperCAmelCase			,	info=_UpperCAmelCase			,	split=_UpperCAmelCase			,	axis=_UpperCAmelCase    )
       else:
              return _concatenate_iterable_datasets(_UpperCAmelCase			,	info=_UpperCAmelCase			,	split=_UpperCAmelCase			,	axis=_UpperCAmelCase    )







import random

from .binary_exp_mod import bin_exp_mod

def      A      (      _SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE=1000    )	-> List[str]:
       if n < 2:
              return False

       if n % 2 == 0:
              return n == 2

       # this means n is odd
       lowerCamelCase   :      List[Any]			 =					n - 1
       lowerCamelCase   :      Dict			 =					0
       while d % 2 == 0:
              d /= 2
              exp += 1

       # n - 1=d*(2**exp)
       lowerCamelCase   :      Optional[Any]			 =					0
       while count < prec:
              lowerCamelCase   :      str			 =					random.randint(2 ,n - 1    )
              lowerCamelCase   :      Dict			 =					bin_exp_mod(_SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE    )
              if b != 1:
                     lowerCamelCase   :      str			 =					True
                     for _ in range(_SCREAMING_SNAKE_CASE    ):
                            if b == n - 1:
                                   lowerCamelCase   :      Tuple			 =					False
                                   break
                            lowerCamelCase   :      int			 =					b * b
                            b %= n
                     if flag:
                            return False
                     count += 1
       return True


if __name__ == "__main__":
       SCREAMING_SNAKE_CASE__       :      Optional[int]  =   abs(int(input('Enter bound : ').strip()))
       print('Here\'s the list of primes:')
       print(', '.join(str(i) for i in range(n + 1) if is_prime_big(i)))






