
from typing import List

import numpy as np


def    A (      lowercase				)     ->						int:
		'''simple docstring'''

		UpperCamelCase						=  {key: len(lowercase				) for key, value in gen_kwargs.items() if isinstance(lowercase					, lowercase				)}
		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.'
				    )				)
		UpperCamelCase						=  max(lists_lengths.values()					, default=0				)
		return max(1					, lowercase				)


def    A (      lowercase					, lowercase				)     ->						List[range]:
		'''simple docstring'''

		UpperCamelCase						=  []
		for group_idx in range(lowercase				):
				UpperCamelCase						=  num_shards // max_num_jobs + (group_idx < (num_shards % max_num_jobs))
				if num_shards_to_add == 0:
						break
				UpperCamelCase						=  shards_indices_per_group[-1].stop if shards_indices_per_group else 0
				UpperCamelCase						=  range(lowercase					, start + num_shards_to_add				)
				shards_indices_per_group.append(lowercase				)
		return shards_indices_per_group


def    A (      lowercase					, lowercase				)     ->						List[dict]:
		'''simple docstring'''

		UpperCamelCase						=  _number_of_shards_in_gen_kwargs(lowercase				)
		if num_shards == 1:
				return [dict(lowercase				)]
		else:
				UpperCamelCase						=  _distribute_shards(num_shards=lowercase					, max_num_jobs=lowercase				)
				return [
				    {
				        key: [value[shard_idx] for shard_idx in shard_indices_per_group[group_idx]]
				        if isinstance(lowercase					, lowercase				)
				        else value
				        for key, value in gen_kwargs.items()
				    }
				    for group_idx in range(len(lowercase				)				)
				]


def    A (      lowercase				)     ->						dict:
		'''simple docstring'''

		return {
		    key: [value for gen_kwargs in gen_kwargs_list for value in gen_kwargs[key]]
		    if isinstance(gen_kwargs_list[0][key]					, lowercase				)
		    else gen_kwargs_list[0][key]
		    for key in gen_kwargs_list[0]
		}


def    A (      lowercase					, lowercase				)     ->						dict:
		'''simple docstring'''

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


from collections.abc import Callable


def    A (      lowercase					, lowercase					, lowercase				)     ->						float:
		'''simple docstring'''

		UpperCamelCase						=  a
		UpperCamelCase						=  b
		if function(lowercase				) == 0:  # one of the a or b is a root for the function
				return a
		elif function(lowercase				) == 0:
				return b
		elif (
		    function(lowercase				) * function(lowercase				) > 0
		):  # if none of these are root and they are both positive or negative,
				# then this algorithm can't find the root
				raise ValueError('could not find root in given interval.'				)
		else:
				UpperCamelCase						=  start + (end - start) / 2.0
				while abs(start - mid				) > 10**-7:  # until precisely equals to 10^-7
						if function(lowercase				) == 0:
								return mid
						elif function(lowercase				) * function(lowercase				) < 0:
								UpperCamelCase						=  mid
						else:
								UpperCamelCase						=  mid
						UpperCamelCase						=  start + (end - start) / 2.0
				return mid


def    A (      lowercase				)     ->						float:
		'''simple docstring'''

		return x**3 - 2 * x - 5


if __name__ == "__main__":
					print(bisection(f, 1, 1_000))

					import doctest

					doctest.testmod()
