

'''simple docstring'''
import torch

from transformers import AutoModel







class 							A__    (       torch.nn.Module  ):





  def __init__(		self      :	List[Any]							,					_a      :	Union[str, Any]="sayef/fsner-bert-base-uncased" )	->    List[str]:





       '''simple docstring'''






       super(_a							,					self ).__init__()

       _SCREAMING_SNAKE_CASE							    =AutoModel.from_pretrained(_a							,					return_dict=_a )
       _SCREAMING_SNAKE_CASE							    =torch.nn.CosineSimilarity(3							,					1e-08 )
       _SCREAMING_SNAKE_CASE							    =torch.nn.Softmax(dim=1 )





  def 						A  (		self      :	int							,					**_a      :	str )	->    Union[str, Any]:





       '''simple docstring'''






       return self.bert(**_a ).last_hidden_state





  def 						A  (		self      :	str							,					_a      :	int )	->    Optional[Any]:





       '''simple docstring'''






       return token_embeddings.sum(2							,					keepdim=_a )





  def 						A  (		self      :	Dict							,					_a      :	List[str]							,					_a      :	Dict							,					_a      :	Dict=1 )	->    Optional[int]:





       '''simple docstring'''






       return self.softmax(T * self.cos(_a							,					_a ) )





  def 						A  (		self      :	Optional[Any]							,					_a      :	List[str]							,					_a      :	List[Any] )	->    Union[str, Any]:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							    =W_supports['sizes'].tolist()
       _SCREAMING_SNAKE_CASE							    =W_supports['start_token_id'].item()
       _SCREAMING_SNAKE_CASE							    =W_supports['end_token_id'].item()

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

       _SCREAMING_SNAKE_CASE							    =self.BERT(**_a )
       _SCREAMING_SNAKE_CASE							    =self.BERT(**_a )

       _SCREAMING_SNAKE_CASE							    =None
       _SCREAMING_SNAKE_CASE							    =None

       _SCREAMING_SNAKE_CASE							    =W_supports['input_ids'] == start_token_id
       _SCREAMING_SNAKE_CASE							    =W_supports['input_ids'] == end_token_id

       for i, size in enumerate(_a ):
            if i == 0:
                 _SCREAMING_SNAKE_CASE							    =0
            else:
                 _SCREAMING_SNAKE_CASE							    =support_sizes[i - 1]

            _SCREAMING_SNAKE_CASE							    =S[s : s + size][start_token_masks[s : s + size]]
            _SCREAMING_SNAKE_CASE							    =S[s : s + size][end_token_masks[s : s + size]]

            _SCREAMING_SNAKE_CASE							    =torch.matmul(q[i]							,					s_start.T ).sum(1 ).softmax(0 )
            _SCREAMING_SNAKE_CASE							    =torch.matmul(q[i]							,					s_end.T ).sum(1 ).softmax(0 )

            if p_starts is not None:
                 _SCREAMING_SNAKE_CASE							    =torch.vstack((p_starts, p_start) )
                 _SCREAMING_SNAKE_CASE							    =torch.vstack((p_ends, p_end) )
            else:
                 _SCREAMING_SNAKE_CASE							    =p_start
                 _SCREAMING_SNAKE_CASE							    =p_end

       return p_starts, p_ends


from __future__ import annotations

from typing import Any



class 		UpperCamelCase__  :
   def __init__(self :					Union[str, Any]					,				snake_case_ :					int   ):
    __a :  Dict						=  num_of_nodes
    __a :  list[list[int]]						=  []
    __a :  dict[int, int]						=  {}
   def       lowerCAmelCase			(self :					Optional[Any]					,				snake_case_ :					int					,				snake_case_ :					int					,				snake_case_ :					int   ):
    self.m_edges.append([u_node, v_node, weight]   )
   def       lowerCAmelCase			(self :					Any					,				snake_case_ :					int   ):

    if self.m_component[u_node] == u_node:
     return u_node
    return self.find_component(self.m_component[u_node]   )
   def       lowerCAmelCase			(self :					str					,				snake_case_ :					int   ):

    if self.m_component[u_node] != u_node:
     for k in self.m_component:
      __a :  Optional[int]						=  self.find_component(snake_case_   )
   def       lowerCAmelCase			(self :					Any					,				snake_case_ :					list[int]					,				snake_case_ :					int					,				snake_case_ :					int   ):

    if component_size[u_node] <= component_size[v_node]:
     __a :  List[str]						=  v_node
     component_size[v_node] += component_size[u_node]
     self.set_component(snake_case_   )

    elif component_size[u_node] >= component_size[v_node]:
     __a :  Optional[int]						=  self.find_component(snake_case_   )
     component_size[u_node] += component_size[v_node]
     self.set_component(snake_case_   )







   def       lowerCAmelCase			(self :					Optional[Any]   ):
    __a :  str						=  []
    __a :  int						=  0

    __a :  list[Any]						=  [-1] * self.m_num_of_nodes

    # A list of components (initialized to all of the nodes)
    for node in range(self.m_num_of_nodes   ):
     self.m_component.update({node: node}   )
     component_size.append(1   )

    __a :  Union[str, Any]						=  self.m_num_of_nodes

    while num_of_components > 1:
     for edge in self.m_edges:
      __a				,       __a				,       __a :  Optional[Any]						=  edge

      __a :  List[str]						=  self.m_component[u]
      __a :  List[Any]						=  self.m_component[v]

      if u_component != v_component:

       for component in (u_component, v_component):
        if (
            minimum_weight_edge[component] == -1
            or minimum_weight_edge[component][2] > w
        ):
         __a :  str						=  [u, v, w]

     for edge in minimum_weight_edge:
      if isinstance(snake_case_					,				snake_case_   ):
       __a				,       __a				,       __a :  str						=  edge

       __a :  Any						=  self.m_component[u]
       __a :  Any						=  self.m_component[v]

       if u_component != v_component:
        mst_weight += w
        self.union(snake_case_					,				snake_case_					,				snake_case_   )
        print(f"Added edge [{u} - {v}]\nAdded weight: {w}\n"   )
        num_of_components -= 1

     __a :  Optional[int]						=  [-1] * self.m_num_of_nodes
    print(f"The total weight of the minimal spanning tree is: {mst_weight}"   )





def    __UpperCamelCase     (				):
 pass


if __name__ == "__main__":
      import doctest

      doctest.testmod()
