


from __future__ import annotations

from typing import Any
class 		__magic_name__						:





     '''simple docstring'''



     def __init__(					self:Tuple     ,		_a:int   ):
       snake_case__						= num_of_nodes
       snake_case__						= []
       snake_case__						= {}

     def 	SCREAMING_SNAKE_CASE__						(					self:Union[str, Any]     ,		_a:int     ,		_a:int     ,		_a:int   ):
       self.m_edges.append([u_node, v_node, weight]   )

     def 	SCREAMING_SNAKE_CASE__						(					self:int     ,		_a:int   ):

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

     def 	SCREAMING_SNAKE_CASE__						(					self:int     ,		_a:int   ):

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

     def 	SCREAMING_SNAKE_CASE__						(					self:Any     ,		_a:list[int]     ,		_a:int     ,		_a:int   ):

       if component_size[u_node] <= component_size[v_node]:
         snake_case__						= v_node
         component_size[v_node] += component_size[u_node]
         self.set_component(_a   )

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







     def 	SCREAMING_SNAKE_CASE__						(					self:int   ):
       snake_case__						= []
       snake_case__						= 0

       snake_case__						= [-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   )

       snake_case__						= self.m_num_of_nodes

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

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

         for edge in minimum_weight_edge:
           if isinstance(_a     ,		_a   ):
             snake_case__				,				snake_case__				,				snake_case__						= edge

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

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

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







def SCREAMING_SNAKE_CASE	(			)    ->				None:
  pass


if __name__ == "__main__":
   import doctest

   doctest.testmod()





import numpy as np







def SCREAMING_SNAKE_CASE	(			__lowerCAmelCase				)    ->				np.ndarray:
  return 1 / (1 + np.exp(-vector				))







def SCREAMING_SNAKE_CASE	(			__lowerCAmelCase				)    ->				np.ndarray:
  return vector * sigmoid(__lowerCAmelCase				)


if __name__ == "__main__":
   import doctest

   doctest.testmod()

