




import torch

from transformers import AutoModel





class        lowerCamelCase_							(      torch.nn.Module					):


 '''simple docstring'''







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

       SCREAMING_SNAKE_CASE_							=			AutoModel.from_pretrained(_lowerCAmelCase				,				return_dict=_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_							=			torch.nn.CosineSimilarity(3				,				1E-08						)
       SCREAMING_SNAKE_CASE_							=			torch.nn.Softmax(dim=1						)



 def       lowerCAmelCase_  (							self  :		str				,				**_lowerCAmelCase  :		Any						):
       return self.bert(**_lowerCAmelCase						).last_hidden_state



 def       lowerCAmelCase_  (							self  :		int				,				_lowerCAmelCase  :		int						):
       return token_embeddings.sum(2				,				keepdim=_lowerCAmelCase						)



 def       lowerCAmelCase_  (							self  :		Union[str, Any]				,				_lowerCAmelCase  :		Optional[Any]				,				_lowerCAmelCase  :		List[str]				,				_lowerCAmelCase  :		Dict=1						):
       return self.softmax(T * self.cos(_lowerCAmelCase				,				_lowerCAmelCase						)						)




 def       lowerCAmelCase_  (							self  :		Union[str, Any]				,				_lowerCAmelCase  :		List[str]				,				_lowerCAmelCase  :		Dict						):
       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(**_lowerCAmelCase						)
       SCREAMING_SNAKE_CASE_							=			self.BERT(**_lowerCAmelCase						)

       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(_lowerCAmelCase						):
             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





class        lowerCamelCase_							:


 '''simple docstring'''







 def __init__(							self  :		List[Any]						):
       SCREAMING_SNAKE_CASE_							=			{}



 def       lowerCAmelCase_  (							self  :		List[str]						):
       print(self.vertex						)
       for i in self.vertex:
             print(_lowerCAmelCase				,				' -> '				,				' -> '.join([str(_lowerCAmelCase						) for j in self.vertex[i]]						)						)



 def       lowerCAmelCase_  (							self  :		List[Any]				,				_lowerCAmelCase  :		int				,				_lowerCAmelCase  :		int						):
       # check if vertex is already present,
       if from_vertex in self.vertex:
             self.vertex[from_vertex].append(_lowerCAmelCase						)
       else:
             # else make a new vertex
             SCREAMING_SNAKE_CASE_							=			[to_vertex]



 def       lowerCAmelCase_  (							self  :		Dict						):
       # visited array for storing already visited nodes
       SCREAMING_SNAKE_CASE_							=			[False] * len(self.vertex						)

       # call the recursive helper function
       for i in range(len(self.vertex						)						):
             if not visited[i]:
                   self.dfs_recursive(_lowerCAmelCase				,				_lowerCAmelCase						)




 def       lowerCAmelCase_  (							self  :		Union[str, Any]				,				_lowerCAmelCase  :		int				,				_lowerCAmelCase  :		list						):
       # mark start vertex as visited
       SCREAMING_SNAKE_CASE_							=			True

       print(_lowerCAmelCase				,				end=' '						)

       # Recur for all the vertices that are adjacent to this node
       for i in self.vertex:
             if not visited[i]:
                   self.dfs_recursive(_lowerCAmelCase				,				_lowerCAmelCase						)


if __name__ == "__main__":
   lowerCamelCase__ :   List[Any]					=							Graph()
   g.add_edge(0, 1)
   g.add_edge(0, 2)
   g.add_edge(1, 2)
   g.add_edge(2, 0)
   g.add_edge(2, 3)
   g.add_edge(3, 3)

   g.print_graph()
   print('DFS:')
   g.dfs()

   # OUTPUT:
   # 0  ->  1 -> 2
   # 1  ->  2
   # 2  ->  0 -> 3
   # 3  ->  3
   # DFS:
   #  0 1 2 3