




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


UpperCAmelCase_		:					Any          =  logging.get_logger(__name__)


UpperCAmelCase_		:					Dict          =  TypeVar("DatasetType", Dataset, IterableDataset)




def 		lowerCAmelCase_ (						lowerCamelCase						,  lowerCamelCase = None						,  lowerCamelCase = None						,  lowerCamelCase = None						,  lowerCamelCase = None						,  lowerCamelCase = "first_exhausted"						,  ):
				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(lowerCamelCase ):
								if not isinstance(lowerCamelCase						,  (Dataset, IterableDataset) ):
												if isinstance(lowerCamelCase						,  (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(lowerCamelCase )}\n"
																    F"Please pick one to interleave with the other datasets, for example: dataset['{next(iter(lowerCamelCase ) )}']" )
												raise ValueError(
												    F"Expected a list of Dataset objects or a list of IterableDataset objects, but element at position {i} is a {type(lowerCamelCase ).__name__}." )
								if i == 0:
												__magic_name__					,			__magic_name__						:						List[str]										=(
												    (Dataset, IterableDataset) if isinstance(lowerCamelCase						,  lowerCamelCase ) else (IterableDataset, Dataset)
												)
								elif not isinstance(lowerCamelCase						,  lowerCamelCase ):
												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(
								    lowerCamelCase						,  lowerCamelCase						,  lowerCamelCase						,  info=lowerCamelCase						,  split=lowerCamelCase						,  stopping_strategy=lowerCamelCase )
				else:
								return _interleave_iterable_datasets(
								    lowerCamelCase						,  lowerCamelCase						,  lowerCamelCase						,  info=lowerCamelCase						,  split=lowerCamelCase						,  stopping_strategy=lowerCamelCase )




def 		lowerCAmelCase_ (						lowerCamelCase						,  lowerCamelCase = None						,  lowerCamelCase = None						,  lowerCamelCase = 0						,  ):

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










from __future__ import annotations

from fractions import Fraction




def 		lowerCAmelCase_ (						lowerCamelCase						,  lowerCamelCase ):
				return (
				    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
				)




def 		lowerCAmelCase_ (						lowerCamelCase ):
				__magic_name__						:						List[str]										=[]
				__magic_name__						:						List[Any]										=11
				__magic_name__						:						Tuple										=int("""1""" + """0""" * digit_len )
				for num in range(lowerCamelCase						,  lowerCamelCase ):
								while den <= 99:
												if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
																if is_digit_cancelling(lowerCamelCase						,  lowerCamelCase ):
																				solutions.append(F"{num}/{den}" )
												den += 1
								num += 1
								__magic_name__						:						List[str]										=10
				return solutions




def 		lowerCAmelCase_ (						lowerCamelCase = 2 ):
				__magic_name__						:						str										=1.0
				for fraction in fraction_list(lowerCamelCase ):
								__magic_name__						:						int										=Fraction(lowerCamelCase )
								result *= frac.denominator / frac.numerator
				return int(lowerCamelCase )


if __name__ == "__main__":
							print(solution())




