




'''simple docstring'''





from typing import List

import numpy as np







def 			_a   (		SCREAMING_SNAKE_CASE_							:       dict  ):
					__lowerCAmelCase            = {key: len(SCREAMING_SNAKE_CASE_  ) for key, value in gen_kwargs.items() if isinstance(SCREAMING_SNAKE_CASE_   ,   SCREAMING_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   ,   SCREAMING_SNAKE_CASE_  )







def 			_a   (		SCREAMING_SNAKE_CASE_							:       int   ,   SCREAMING_SNAKE_CASE_							:       int  ):
					__lowerCAmelCase            = []
					for group_idx in range(SCREAMING_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(SCREAMING_SNAKE_CASE_   ,   start + num_shards_to_add  )
										shards_indices_per_group.append(SCREAMING_SNAKE_CASE_  )
					return shards_indices_per_group







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










from __future__ import annotations

from collections.abc import Iterator
from typing import Any
class     a__					:






						def __init__(     self	,    _A    ):




											"""simple docstring"""



											__lowerCAmelCase            = data
											__lowerCAmelCase            = None






class     a__					:






						def __init__(     self    ):




											"""simple docstring"""



											__lowerCAmelCase            = None
											__lowerCAmelCase            = None






						def __iter__(     self    ):




											"""simple docstring"""



											__lowerCAmelCase            = self.head
											while self.head:
																yield node.data
																__lowerCAmelCase            = node.next
																if node == self.head:
																					break






						def __len__(     self    ):




											"""simple docstring"""



											return sum(1 for _ in self    )






						def __repr__(     self    ):




											"""simple docstring"""



											return "->".join(str(_A    ) for item in iter(self    )    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A    ):




											"""simple docstring"""



											self.insert_nth(len(self    )	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A    ):




											"""simple docstring"""



											self.insert_nth(0	,    _A    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A	,    _A    ):




											"""simple docstring"""



											if index < 0 or index > len(self    ):
																raise IndexError("list index out of range."    )
											__lowerCAmelCase            = Node(_A    )
											if self.head is None:
																__lowerCAmelCase            = new_node  # first node points itself
																__lowerCAmelCase            = __lowerCAmelCase            = new_node
											elif index == 0:  # insert at head
																__lowerCAmelCase            = self.head
																__lowerCAmelCase            = __lowerCAmelCase            = new_node
											else:
																__lowerCAmelCase            = self.head
																for _ in range(index - 1    ):
																					__lowerCAmelCase            = temp.next
																__lowerCAmelCase            = temp.next
																__lowerCAmelCase            = new_node
																if index == len(self    ) - 1:  # insert at tail
																					__lowerCAmelCase            = new_node






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											return self.delete_nth(0    )






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											return self.delete_nth(len(self    ) - 1    )






						def        __SCREAMING_SNAKE_CASE(     self	,    _A = 0    ):




											"""simple docstring"""



											if not 0 <= index < len(self    ):
																raise IndexError("list index out of range."    )
											__lowerCAmelCase            = self.head
											if self.head == self.tail:  # just one node
																__lowerCAmelCase            = __lowerCAmelCase            = None
											elif index == 0:  # delete head node
																__lowerCAmelCase            = self.tail.next.next
																__lowerCAmelCase            = self.head.next
											else:
																__lowerCAmelCase            = self.head
																for _ in range(index - 1    ):
																					__lowerCAmelCase            = temp.next
																__lowerCAmelCase            = temp.next
																__lowerCAmelCase            = temp.next.next
																if index == len(self    ) - 1:  # delete at tail
																					__lowerCAmelCase            = temp
											return delete_node.data






						def        __SCREAMING_SNAKE_CASE(     self    ):




											"""simple docstring"""



											return len(self    ) == 0







def 			_a   (		):
					__lowerCAmelCase            = CircularLinkedList()
					assert len(SCREAMING_SNAKE_CASE_  ) == 0
					assert circular_linked_list.is_empty() is True
					assert str(SCREAMING_SNAKE_CASE_  ) == ""

					try:
										circular_linked_list.delete_front()
										raise AssertionError  # This should not happen
					except IndexError:
										assert True  # This should happen

					try:
										circular_linked_list.delete_tail()
										raise AssertionError  # This should not happen
					except IndexError:
										assert True  # This should happen

					try:
										circular_linked_list.delete_nth(-1  )
										raise AssertionError
					except IndexError:
										assert True

					try:
										circular_linked_list.delete_nth(0  )
										raise AssertionError
					except IndexError:
										assert True

					assert circular_linked_list.is_empty() is True
					for i in range(5  ):
										assert len(SCREAMING_SNAKE_CASE_  ) == i
										circular_linked_list.insert_nth(SCREAMING_SNAKE_CASE_   ,   i + 1  )
					assert str(SCREAMING_SNAKE_CASE_  ) == "->".join(str(SCREAMING_SNAKE_CASE_  ) for i in range(1   ,   6  )  )

					circular_linked_list.insert_tail(6  )
					assert str(SCREAMING_SNAKE_CASE_  ) == "->".join(str(SCREAMING_SNAKE_CASE_  ) for i in range(1   ,   7  )  )
					circular_linked_list.insert_head(0  )
					assert str(SCREAMING_SNAKE_CASE_  ) == "->".join(str(SCREAMING_SNAKE_CASE_  ) for i in range(0   ,   7  )  )

					assert circular_linked_list.delete_front() == 0
					assert circular_linked_list.delete_tail() == 6
					assert str(SCREAMING_SNAKE_CASE_  ) == "->".join(str(SCREAMING_SNAKE_CASE_  ) for i in range(1   ,   6  )  )
					assert circular_linked_list.delete_nth(2  ) == 3

					circular_linked_list.insert_nth(2   ,   3  )
					assert str(SCREAMING_SNAKE_CASE_  ) == "->".join(str(SCREAMING_SNAKE_CASE_  ) for i in range(1   ,   6  )  )

					assert circular_linked_list.is_empty() is False


if __name__ == "__main__":
					import doctest

					doctest.testmod()




