




from typing import List

import numpy as np







def 			_a   (		SCREAMING_SNAKE_CASE_							:       dict  ):
					__lowerCAmelCase            = {key: len(snake_case_  ) for key, value in gen_kwargs.items() if isinstance(snake_case_   ,   snake_case_  )}
					if len(set(lists_lengths.values()  )  ) > 1:
										raise RuntimeError(
										    (
										        "Sharding is ambiguous for this dataset: "
										        + "we found several data sources lists of different lengths, and we don\'t know over which list we should parallelize:\n"
										        + "\n".join(F"""\t- key {key} has length {length}""" for key, length in lists_lengths.items()  )
										        + "\nTo fix this, check the \'gen_kwargs\' and make sure to use lists only for data sources, "
										        + "and use tuples otherwise. In the end there should only be one single list, or several lists with the same length."
										    )  )
					__lowerCAmelCase            = max(lists_lengths.values()   ,   default=0  )
					return max(1   ,   snake_case_  )







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					__lowerCAmelCase            = []
					for group_idx in range(snake_case_  ):
										__lowerCAmelCase            = num_shards // max_num_jobs + (group_idx < (num_shards % max_num_jobs))
										if num_shards_to_add == 0:
															break
										__lowerCAmelCase            = shards_indices_per_group[-1].stop if shards_indices_per_group else 0
										__lowerCAmelCase            = range(snake_case_   ,   start + num_shards_to_add  )
										shards_indices_per_group.append(snake_case_  )
					return shards_indices_per_group







def 			_a   (		SCREAMING_SNAKE_CASE_							:       dict   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					__lowerCAmelCase            = _number_of_shards_in_gen_kwargs(snake_case_  )
					if num_shards == 1:
										return [dict(snake_case_  )]
					else:
										__lowerCAmelCase            = _distribute_shards(num_shards=snake_case_   ,   max_num_jobs=snake_case_  )
										return [
										    {
										        key: [value[shard_idx] for shard_idx in shard_indices_per_group[group_idx]]
										        if isinstance(snake_case_   ,   snake_case_  )
										        else value
										        for key, value in gen_kwargs.items()
										    }
										    for group_idx in range(len(snake_case_  )  )
										]







def 			_a   (		SCREAMING_SNAKE_CASE_							:       List[dict]  ):
					return {
					    key: [value for gen_kwargs in gen_kwargs_list for value in gen_kwargs[key]]
					    if isinstance(gen_kwargs_list[0][key]   ,   snake_case_  )
					    else gen_kwargs_list[0][key]
					    for key in gen_kwargs_list[0]
					}







def 			_a   (		SCREAMING_SNAKE_CASE_							:       np.random.Generator   ,   SCREAMING_SNAKE_CASE_							:       dict  ):
					__lowerCAmelCase            = {len(snake_case_  ) for value in gen_kwargs.values() if isinstance(snake_case_   ,   snake_case_  )}
					__lowerCAmelCase            = {}
					for size in list_sizes:
										__lowerCAmelCase            = list(range(snake_case_  )  )
										rng.shuffle(indices_per_size[size]  )
					# Now let's copy the gen_kwargs and shuffle the lists based on their sizes
					__lowerCAmelCase            = dict(snake_case_  )
					for key, value in shuffled_kwargs.items():
										if isinstance(snake_case_   ,   snake_case_  ):
															__lowerCAmelCase            = [value[i] for i in indices_per_size[len(snake_case_  )]]
					return shuffled_kwargs









def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					if b == 0:
										return 1
					if (b % 2) == 0:
										return actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  ) * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  )
					else:
										return a * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  ) * actual_power(SCREAMING_SNAKE_CASE_   ,   int(b / 2  )  )







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					if b < 0:
										return 1 / actual_power(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )
					return actual_power(SCREAMING_SNAKE_CASE_   ,   SCREAMING_SNAKE_CASE_  )


if __name__ == "__main__":
					print(power(-2, -3))




