
'''simple docstring'''







from __future__ import annotations

from typing import Any






class 			lowerCAmelCase__       :






					def __init__(       self    ,							__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





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






					def      _snake_case   (       self    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





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






					def      _snake_case   (       self    ,							__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





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






					def      _snake_case   (       self    ,							__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





											if self.m_component[u_node] != u_node:
																	for k in self.m_component:
																							lowercase_     :					Optional[int]													=	self.find_component(__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





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

											elif component_size[u_node] >= component_size[v_node]:
																	lowercase_     :					int													=	self.find_component(__SCREAMING_SNAKE_CASE		)
																	component_size[u_node] += component_size[v_node]
																	self.set_component(__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Dict													=	[]
											lowercase_     :					Optional[Any]													=	0

											lowercase_     :					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		)

											lowercase_     :					Union[str, Any]													=	self.m_num_of_nodes

											while num_of_components > 1:
																	for edge in self.m_edges:
																							lowercase_     :					List[Any]													=	edge

																							lowercase_     :					Dict													=	self.m_component[u]
																							lowercase_     :					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
																																			):
																																									lowercase_     :					Union[str, Any]													=	[u, v, w]

																	for edge in minimum_weight_edge:
																							if isinstance(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		):
																													lowercase_     :					str													=	edge

																													lowercase_     :					Tuple													=	self.m_component[u]
																													lowercase_     :					Union[str, Any]													=	self.m_component[v]

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

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







def  snake_case_		(    ):



						"""simple docstring"""












if __name__ == "__main__":
							import doctest

							doctest.testmod()



'''simple docstring'''







def  snake_case_		(    __SCREAMING_SNAKE_CASE :			str							):



						"""simple docstring"""





						return [
						    txt[:a] + txt[a].upper() + txt[a + 1 :]
						    for a in range(len(__SCREAMING_SNAKE_CASE							)							)
						    if txt[a].isalpha()
						]


if __name__ == "__main__":
							__import__("doctest").testmod()



