






import timeit

import numpy as np

import datasets
from datasets.arrow_writer import ArrowWriter
from datasets.features.features import _ArrayXD







def        _a  (     UpperCamelCase_					:				Dict   ) ->   Union[str, Any]:
						"""simple docstring"""







						def wrapper(*UpperCamelCase_					:				Tuple    ,   **UpperCamelCase_					:				Optional[int]   ):
												lowerCAmelCase__       =						timeit.default_timer()
												lowerCAmelCase__       =						func(*UpperCamelCase_    ,   **UpperCamelCase_   )
												lowerCAmelCase__       =						timeit.default_timer() - starttime
												return delta

						lowerCAmelCase__       =						func.__name__

						return wrapper







def        _a  (     UpperCamelCase_					:				str    ,   UpperCamelCase_					:				Tuple=100    ,   UpperCamelCase_					:				str=None   ) ->   List[str]:
						"""simple docstring"""







						lowerCAmelCase__       =						[]
						lowerCAmelCase__       =						seq_shapes or {}
						for i in range(UpperCamelCase_   ):
												lowerCAmelCase__       =						{}
												for col_id, (k, v) in enumerate(features.items()   ):
																		if isinstance(UpperCamelCase_    ,   _ArrayXD   ):
																								lowerCAmelCase__       =						np.random.rand(*v.shape   ).astype(v.dtype   )
																		elif isinstance(UpperCamelCase_    ,   datasets.Value   ):
																								if v.dtype == "string":
																														lowerCAmelCase__       =						'The small grey turtle was surprisingly fast when challenged.'
																								else:
																														lowerCAmelCase__       =						np.random.randint(10    ,   size=1   ).astype(v.dtype   ).item()
																		elif isinstance(UpperCamelCase_    ,   datasets.Sequence   ):
																								while isinstance(UpperCamelCase_    ,   datasets.Sequence   ):
																														lowerCAmelCase__       =						v.feature
																								lowerCAmelCase__       =						seq_shapes[k]
																								lowerCAmelCase__       =						np.random.rand(*UpperCamelCase_   ).astype(v.dtype   )
																		lowerCAmelCase__       =						data

												dummy_data.append((i, example)   )

						return dummy_data







def        _a  (     UpperCamelCase_					:				List[Any]    ,   UpperCamelCase_					:				Union[str, Any]    ,   UpperCamelCase_					:				Optional[int]=100    ,   UpperCamelCase_					:				Dict=None   ) ->   List[str]:
						"""simple docstring"""







						lowerCAmelCase__       =						generate_examples(UpperCamelCase_    ,   num_examples=UpperCamelCase_    ,   seq_shapes=UpperCamelCase_   )

						with ArrowWriter(features=UpperCamelCase_    ,   path=UpperCamelCase_   ) as writer:
												for key, record in dummy_data:
																		lowerCAmelCase__       =						features.encode_example(UpperCamelCase_   )
																		writer.write(UpperCamelCase_   )

												lowerCAmelCase__       =						writer.finalize()

						if not num_final_examples == num_examples:
												raise ValueError(
												    F"Error writing the dataset, wrote {num_final_examples} examples but should have written {num_examples}."   )

						lowerCAmelCase__       =						datasets.Dataset.from_file(filename=UpperCamelCase_    ,   info=datasets.DatasetInfo(features=UpperCamelCase_   )   )

						return dataset














from __future__ import annotations

from collections.abc import Generator


def        _a  (     ) ->   Generator[int, None, None]:
						"""simple docstring"""







						lowerCAmelCase__       =						{}
						lowerCAmelCase__       =						2
						while True:
												lowerCAmelCase__       =						factor_map.pop(UpperCamelCase_    ,   UpperCamelCase_   )
												if factor:
																		lowerCAmelCase__       =						factor + prime
																		while x in factor_map:
																								x += factor
																		lowerCAmelCase__       =						factor
												else:
																		lowerCAmelCase__       =						prime
																		yield prime
												prime += 1


def        _a  (     UpperCamelCase_					:				float = 1e1_0   ) ->   int:
						"""simple docstring"""







						lowerCAmelCase__       =						sieve()

						lowerCAmelCase__       =						1
						while True:
												lowerCAmelCase__       =						next(UpperCamelCase_   )
												if (2 * prime * n) > limit:
																		return n
												# Ignore the next prime as the reminder will be 2.
												next(UpperCamelCase_   )
												n += 2


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






