



'''simple docstring'''






from __future__ import annotations

from collections.abc import Iterator
from typing import Any

class 							a__:







    def __init__(				self			:  List[Any]						,      __snake_case			:  Any     ):
      a						: Any					       =					data
      a						: Node | None					       =					None

class 							a__:







    def __init__(				self			:  Union[str, Any]     ):
      a						: List[str]					       =					None
      a						: Optional[Any]					       =					None







    def __iter__(				self			:  int     ):
      a						: Optional[int]					       =					self.head
      while self.head:
        yield node.data
        a						: List[Any]					       =					node.next
        if node == self.head:
          break







    def __len__(				self			:  Tuple     ):
      return sum(1 for _ in self     )







    def __repr__(				self			:  Any     ):
      return "->".join(str(__snake_case     ) for item in iter(self     )     )







    def       lowercase_	(				self			:  Union[str, Any]						,      __snake_case			:  Any     ):
      self.insert_nth(len(self     )						,      __snake_case     )







    def       lowercase_	(				self			:  Any						,      __snake_case			:  Any     ):
      self.insert_nth(0						,      __snake_case     )







    def       lowercase_	(				self			:  List[Any]						,      __snake_case			:  int						,      __snake_case			:  Any     ):
      if index < 0 or index > len(self     ):
        raise IndexError('list index out of range.'     )
      a						: List[str]					       =					Node(__snake_case     )
      if self.head is None:
        a						: Union[str, Any]					       =					new_node  # first node points itself
        a						: Any					       =					new_node
      elif index == 0:  # insert at head
        a						: str					       =					self.head
        a						: Optional[Any]					       =					new_node
      else:
        a						: str					       =					self.head
        for _ in range(index - 1     ):
          a						: int					       =					temp.next
        a						: List[str]					       =					temp.next
        a						: Optional[Any]					       =					new_node
        if index == len(self     ) - 1:  # insert at tail
          a						: Optional[int]					       =					new_node







    def       lowercase_	(				self			:  Dict     ):
      return self.delete_nth(0     )







    def       lowercase_	(				self			:  Dict     ):
      return self.delete_nth(len(self     ) - 1     )







    def       lowercase_	(				self			:  Optional[int]						,      __snake_case			:  int = 0     ):
      if not 0 <= index < len(self     ):
        raise IndexError('list index out of range.'     )
      a						: List[Any]					       =					self.head
      if self.head == self.tail:  # just one node
        a						: Tuple					       =					None
      elif index == 0:  # delete head node
        a						: str					       =					self.tail.next.next
        a						: Union[str, Any]					       =					self.head.next
      else:
        a						: Optional[int]					       =					self.head
        for _ in range(index - 1     ):
          a						: List[Any]					       =					temp.next
        a						: Tuple					       =					temp.next
        a						: Optional[int]					       =					temp.next.next
        if index == len(self     ) - 1:  # delete at tail
          a						: Optional[int]					       =					temp
      return delete_node.data







    def       lowercase_	(				self			:  Optional[int]     ):
      return len(self     ) == 0
def 				lowerCamelCase__	(						):
  a						: Union[str, Any]					       =					CircularLinkedList()
  assert len(_A    ) == 0
  assert circular_linked_list.is_empty() is True
  assert str(_A    ) == ""

  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(_A    ) == i
    circular_linked_list.insert_nth(_A			,      i + 1    )
  assert str(_A    ) == "->".join(str(_A    ) for i in range(1			,      6    )    )

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

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

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

  assert circular_linked_list.is_empty() is False


if __name__ == "__main__":
     import doctest

     doctest.testmod()




'''simple docstring'''






import torch

from transformers import AutoModel

class 							a__( torch.nn.Module     ):







    def __init__(				self			:  Any						,      __snake_case			:  str="sayef/fsner-bert-base-uncased"     ):
      super(__snake_case						,      self     ).__init__()

      a						: List[str]					       =					AutoModel.from_pretrained(__snake_case						,      return_dict=__snake_case     )
      a						: Optional[Any]					       =					torch.nn.CosineSimilarity(3						,      1e-0_8     )
      a						: Tuple					       =					torch.nn.Softmax(dim=1     )







    def       lowercase_	(				self			:  List[str]						,      **__snake_case			:  int     ):
      return self.bert(**__snake_case     ).last_hidden_state







    def       lowercase_	(				self			:  Optional[int]						,      __snake_case			:  Union[str, Any]     ):
      return token_embeddings.sum(2						,      keepdim=__snake_case     )







    def       lowercase_	(				self			:  str						,      __snake_case			:  Tuple						,      __snake_case			:  List[Any]						,      __snake_case			:  Optional[Any]=1     ):
      return self.softmax(T * self.cos(__snake_case						,      __snake_case     )     )







    def       lowercase_	(				self			:  int						,      __snake_case			:  int						,      __snake_case			:  Tuple     ):
      a						: List[Any]					       =					W_supports['sizes'].tolist()
      a						: Any					       =					W_supports['start_token_id'].item()
      a						: int					       =					W_supports['end_token_id'].item()

      del W_supports["sizes"]
      del W_supports["start_token_id"]
      del W_supports["end_token_id"]

      a						: Optional[Any]					       =					self.BERT(**__snake_case     )
      a						: Tuple					       =					self.BERT(**__snake_case     )

      a						: Dict					       =					None
      a						: Optional[Any]					       =					None

      a						: Union[str, Any]					       =					W_supports['input_ids'] == start_token_id
      a						: str					       =					W_supports['input_ids'] == end_token_id

      for i, size in enumerate(__snake_case     ):
        if i == 0:
          a						: Optional[int]					       =					0
        else:
          a						: Tuple					       =					support_sizes[i - 1]

        a						: Tuple					       =					S[s : s + size][start_token_masks[s : s + size]]
        a						: int					       =					S[s : s + size][end_token_masks[s : s + size]]

        a						: Any					       =					torch.matmul(q[i]						,      s_start.T     ).sum(1     ).softmax(0     )
        a						: List[str]					       =					torch.matmul(q[i]						,      s_end.T     ).sum(1     ).softmax(0     )

        if p_starts is not None:
          a						: List[Any]					       =					torch.vstack((p_starts, p_start)     )
          a						: List[Any]					       =					torch.vstack((p_ends, p_end)     )
        else:
          a						: List[Any]					       =					p_start
          a						: Optional[int]					       =					p_end

      return p_starts, p_ends