from __future__ import annotations

from typing import Any







class __snake_case       :




   def __init__(					self    :       Any ,			_lowercase    :       int   ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__    							=   num_of_nodes
     SCREAMING_SNAKE_CASE__    							=   []
     SCREAMING_SNAKE_CASE__    							=   {}




   def 			__a		(					self    :       str ,			_lowercase    :       int ,			_lowercase    :       int ,			_lowercase    :       int   ):



     """simple docstring"""






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




   def 			__a		(					self    :       Dict ,			_lowercase    :       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    :       Optional[Any] ,			_lowercase    :       int   ):



     """simple docstring"""






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




   def 			__a		(					self    :       Optional[Any] ,			_lowercase    :       list[int] ,			_lowercase    :       int ,			_lowercase    :       int   ):



     """simple docstring"""






     if component_size[u_node] <= component_size[v_node]:
       SCREAMING_SNAKE_CASE__    							=   v_node
       component_size[v_node] += component_size[u_node]
       self.set_component(_lowercase   )

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




   def 			__a		(					self    :       List[Any]   ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__    							=   []
     SCREAMING_SNAKE_CASE__    							=   0

     SCREAMING_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   )

     SCREAMING_SNAKE_CASE__    							=   self.m_num_of_nodes

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

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

       for edge in minimum_weight_edge:
         if isinstance(_lowercase ,			_lowercase   ):
           SCREAMING_SNAKE_CASE__							,  SCREAMING_SNAKE_CASE__							,  SCREAMING_SNAKE_CASE__    							=   edge

           SCREAMING_SNAKE_CASE__    							=   self.m_component[u]
           SCREAMING_SNAKE_CASE__    							=   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

       SCREAMING_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:







  """simple docstring"""







if __name__ == "__main__":
   import doctest

   doctest.testmod()

def 			__SCREAMING_SNAKE_CASE						(      __UpperCamelCase					: list				,  __UpperCamelCase					: list				,  __UpperCamelCase					: int				,  __UpperCamelCase					: int				,  __UpperCamelCase					: int			)							->      int:







  """simple docstring"""





  if index == number_of_items:
    return 0
  SCREAMING_SNAKE_CASE__    							=   0
  SCREAMING_SNAKE_CASE__    							=   0
  SCREAMING_SNAKE_CASE__    							=   knapsack(__UpperCamelCase				,  __UpperCamelCase				,  __UpperCamelCase				,  __UpperCamelCase				,  index + 1			)
  if weights[index] <= max_weight:
    SCREAMING_SNAKE_CASE__    							=   values[index] + knapsack(
        __UpperCamelCase				,  __UpperCamelCase				,  __UpperCamelCase				,  max_weight - weights[index]				,  index + 1			)
  return max(__UpperCamelCase				,  __UpperCamelCase			)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
