
from __future__ import annotations

from typing import Any






class   UpperCAmelCase		:



   def __init__(self		:					str    ,						snake_case__		:					int )		->	None:


          '''simple docstring'''


          snake_case       :   str							=      num_of_nodes
          snake_case       :   list[list[int]]							=      []
          snake_case       :   dict[int, int]							=      {}



   def 				_SCREAMING_SNAKE_CASE   (self		:					Dict    ,						snake_case__		:					int    ,						snake_case__		:					int    ,						snake_case__		:					int )		->	None:


          '''simple docstring'''


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



   def 				_SCREAMING_SNAKE_CASE   (self		:					List[Any]    ,						snake_case__		:					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 				_SCREAMING_SNAKE_CASE   (self		:					List[str]    ,						snake_case__		:					int )		->	None:


          '''simple docstring'''


          if self.m_component[u_node] != u_node:
                 for k in self.m_component:
                        snake_case       :   Union[str, Any]							=      self.find_component(snake_case__ )



   def 				_SCREAMING_SNAKE_CASE   (self		:					str    ,						snake_case__		:					list[int]    ,						snake_case__		:					int    ,						snake_case__		:					int )		->	None:


          '''simple docstring'''


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

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



   def 				_SCREAMING_SNAKE_CASE   (self		:					Optional[Any] )		->	None:


          '''simple docstring'''


          snake_case       :   Dict							=      []
          snake_case       :   Any							=      0

          snake_case       :   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 )

          snake_case       :   str							=      self.m_num_of_nodes

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

                        snake_case       :   List[str]							=      self.m_component[u]
                        snake_case       :   Union[str, 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
                                      ):
                                             snake_case       :   Optional[Any]							=      [u, v, w]

                 for edge in minimum_weight_edge:
                        if isinstance(snake_case__    ,						snake_case__ ):
                               snake_case				,					snake_case				,					snake_case       :   List[str]							=      edge

                               snake_case       :   Tuple							=      self.m_component[u]
                               snake_case       :   Dict							=      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

                 snake_case       :   Any							=      [-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()









from __future__ import annotations



def 				UpperCamelCase_(      lowerCamelCase_ )    ->						bool:
    if len(lowerCamelCase_ ) < 2:
        raise ValueError('Monogons and Digons are not polygons in the Euclidean space' )
    if any(i <= 0 for i in nums ):
        raise ValueError('All values must be greater than 0' )
    _lowercase       :							Tuple      		=		nums.copy()
    copy_nums.sort()
    return copy_nums[-1] < sum(copy_nums[:-1] )


if __name__ == "__main__":
 import doctest

 doctest.testmod()


