



"""simple docstring"""





from __future__ import annotations

from typing import Any



class  _lowerCAmelCase     :





		"""simple docstring"""






		def __init__(       self				,     _lowercase )			->    None:







								'''simple docstring'''

								snake_case_ :			List[Any]            =      num_of_nodes
								snake_case_ :			list[list[int]]            =      []
								snake_case_ :			dict[int, int]            =      {}





		def  UpperCAmelCase__				(       self				,     _lowercase				,     _lowercase				,     _lowercase )			->    None:







								'''simple docstring'''

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





		def  UpperCAmelCase__				(       self				,     _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  UpperCAmelCase__				(       self				,     _lowercase )			->    None:







								'''simple docstring'''

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





		def  UpperCAmelCase__				(       self				,     _lowercase				,     _lowercase				,     _lowercase )			->    None:







								'''simple docstring'''

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

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





		def  UpperCAmelCase__				(       self )			->    None:







								'''simple docstring'''

								snake_case_ :			str            =      []
								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_ :			Tuple            =      self.m_num_of_nodes

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

																				snake_case_ :			List[str]            =      self.m_component[u]
																				snake_case_ :			str            =      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[int]            =      [u, v, w]

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

																										snake_case_ :			Any            =      self.m_component[u]
																										snake_case_ :			Union[str, Any]            =      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

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




def 						__lowerCAmelCase    (		):


						'''simple docstring'''








if __name__ == "__main__":
					import doctest

					doctest.testmod()









"""simple docstring"""



from __future__ import annotations

from math import pow, sqrt


def 	SCREAMING_SNAKE_CASE__       (  snake_case       : float			,					snake_case       : float			,					snake_case       : float				)->		dict[str, float]:






     '''simple docstring'''



     if (resistance, reactance, impedance).count(0				) != 1:
          raise ValueError("One and only one argument must be 0"				)
     if resistance == 0:
          return {"resistance": sqrt(pow(snake_case			,					2				) - pow(snake_case			,					2				)				)}
     elif reactance == 0:
          return {"reactance": sqrt(pow(snake_case			,					2				) - pow(snake_case			,					2				)				)}
     elif impedance == 0:
          return {"impedance": sqrt(pow(snake_case			,					2				) + pow(snake_case			,					2				)				)}
     else:
          raise ValueError("Exactly one argument must be 0"				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()


