



'''simple docstring'''

from __future__ import annotations

from typing import Any

class __snake_case:


						'''simple docstring'''



						def __init__(   self      ,			A_ )      ->      None:
							lowerCAmelCase       =      num_of_nodes
							lowerCAmelCase       =      []
							lowerCAmelCase       =      {}


						def 							__snake_case       (   self      ,			A_      ,			A_      ,			A_ )      ->      None:
							self.m_edges.append([u_node, v_node, weight] )


						def 							__snake_case       (   self      ,			A_ )      ->      int:

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


						def 							__snake_case       (   self      ,			A_ )      ->      None:

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


						def 							__snake_case       (   self      ,			A_      ,			A_      ,			A_ )      ->      None:

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

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




						def 							__snake_case       (   self )      ->      None:
							lowerCAmelCase       =      []
							lowerCAmelCase       =      0

							lowerCAmelCase       =      [-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 )

							lowerCAmelCase       =      self.m_num_of_nodes

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

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

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

										lowerCAmelCase       =      self.m_component[u]
										lowerCAmelCase       =      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

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







def 						_snake_case						(   )     ->		Union[str, Any]:







	"""simple docstring"""
	pass


if __name__ == "__main__":
				import doctest

				doctest.testmod()



from __future__ import annotations

_lowerCAmelCase:						str   				=       '#'




class       lowercase_					:





				def __init__(				self)  -> None:
											a__      ={}





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> None:
											a__      =self._trie
											for char in text:
																		if char not in trie:
																									a__      ={}
																		a__      =trie[char]
											a__      =True





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple | list:
											a__      =self._trie
											for char in prefix:
																		if char in trie:
																									a__      =trie[char]
																		else:
																									return []
											return self._elements(lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple:
											a__      =[]
											for c, v in d.items():
																		a__      =[' '] if c == END else [(c + s) for s in self._elements(lowercase_)]
																		result.extend(lowercase_)
											return tuple(lowercase_)







_lowerCAmelCase:						Optional[int]   				=       Trie()
_lowerCAmelCase:						List[str]   				=       ('depart', 'detergent', 'daring', 'dog', 'deer', 'deal')
for word in words:
	trie.insert_word(word)






def   _lowercase(					__a				:						str     ):
							a__      =trie.find_word(__a     )
							return tuple(string + word for word in suffixes     )






def   _lowercase(					):
							print(autocomplete_using_trie('de'     )     )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()

