






import torch

from transformers import AutoModel
class    _SCREAMING_SNAKE_CASE							(		torch.nn.Module	):


			'''simple docstring'''





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

									'''simple docstring'''







									super(lowercase ,      self			).__init__()

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






			def 				A      (   self							:						Any ,      **lowercase							:						str			)							->    Dict:

									'''simple docstring'''







									return self.bert(**lowercase			).last_hidden_state






			def 				A      (   self							:						Union[str, Any] ,      lowercase							:						Optional[int]			)							->    Tuple:

									'''simple docstring'''







									return token_embeddings.sum(2 ,      keepdim=lowercase			)






			def 				A      (   self							:						List[Any] ,      lowercase							:						Any ,      lowercase							:						Union[str, Any] ,      lowercase							:						int=1			)							->    Union[str, Any]:

									'''simple docstring'''







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







			def 				A      (   self							:						Any ,      lowercase							:						Optional[int] ,      lowercase							:						Any			)							->    Dict:

									'''simple docstring'''







									UpperCamelCase__         = W_supports["""sizes"""].tolist()
									UpperCamelCase__         = W_supports["""start_token_id"""].item()
									UpperCamelCase__         = W_supports["""end_token_id"""].item()

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

									UpperCamelCase__         = self.BERT(**lowercase			)
									UpperCamelCase__         = self.BERT(**lowercase			)

									UpperCamelCase__         = None
									UpperCamelCase__         = None

									UpperCamelCase__         = W_supports["""input_ids"""] == start_token_id
									UpperCamelCase__         = W_supports["""input_ids"""] == end_token_id

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

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

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

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

									return p_starts, p_ends








'''simple docstring'''


from __future__ import annotations

from typing import Any
class    _SCREAMING_SNAKE_CASE							:


			'''simple docstring'''





			def __init__(   self							:						Union[str, Any] ,      lowercase							:						int			)							->    None:

									'''simple docstring'''







									UpperCamelCase__         = num_of_nodes
									UpperCamelCase__         = []
									UpperCamelCase__         = {}






			def 				A      (   self							:						Optional[Any] ,      lowercase							:						int ,      lowercase							:						int ,      lowercase							:						int			)							->    None:

									'''simple docstring'''







									self.m_edges.append([u_node, v_node, weight]			)






			def 				A      (   self							:						str ,      lowercase							:						int			)							->    int:

									'''simple docstring'''







									if self.m_component[u_node] == u_node:
															return u_node
									return self.find_component(self.m_component[u_node]			)






			def 				A      (   self							:						Union[str, Any] ,      lowercase							:						int			)							->    None:

									'''simple docstring'''







									if self.m_component[u_node] != u_node:
															for k in self.m_component:
																					UpperCamelCase__         = self.find_component(lowercase			)






			def 				A      (   self							:						Tuple ,      lowercase							:						list[int] ,      lowercase							:						int ,      lowercase							:						int			)							->    None:

									'''simple docstring'''







									if component_size[u_node] <= component_size[v_node]:
															UpperCamelCase__         = v_node
															component_size[v_node] += component_size[u_node]
															self.set_component(lowercase			)

									elif component_size[u_node] >= component_size[v_node]:
															UpperCamelCase__         = self.find_component(lowercase			)
															component_size[u_node] += component_size[v_node]
															self.set_component(lowercase			)







			def 				A      (   self							:						int			)							->    None:

									'''simple docstring'''







									UpperCamelCase__         = []
									UpperCamelCase__         = 0

									UpperCamelCase__         = [-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			)

									UpperCamelCase__         = self.m_num_of_nodes

									while num_of_components > 1:
															for edge in self.m_edges:
																					UpperCamelCase__    ,   UpperCamelCase__    ,   UpperCamelCase__         = edge

																					UpperCamelCase__         = self.m_component[u]
																					UpperCamelCase__         = 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
																																	):
																																							UpperCamelCase__         = [u, v, w]

															for edge in minimum_weight_edge:
																					if isinstance(lowercase ,      lowercase			):
																											UpperCamelCase__    ,   UpperCamelCase__    ,   UpperCamelCase__         = edge

																											UpperCamelCase__         = self.m_component[u]
																											UpperCamelCase__         = self.m_component[v]

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

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







def 	__magic_name__( ):
						'''simple docstring'''







if __name__ == "__main__":
					import doctest

					doctest.testmod()
