


'''simple docstring'''
from __future__ import annotations

from typing import Any
class    lowercase	:

		"""simple docstring"""

		def __init__(		self    ,   UpperCamelCase_							):

							'''simple docstring'''


							UpperCamelCase__   :Dict												= num_of_nodes
							UpperCamelCase__   :list[list[int]]												= []
							UpperCamelCase__   :dict[int, int]												= {}




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_    ,   UpperCamelCase_    ,   UpperCamelCase_							):

							'''simple docstring'''


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




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_							):

							'''simple docstring'''


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




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_							):

							'''simple docstring'''


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




		def     lowerCAmelCase__				(		self    ,   UpperCamelCase_    ,   UpperCamelCase_    ,   UpperCamelCase_							):

							'''simple docstring'''


							if component_size[u_node] <= component_size[v_node]:
												UpperCamelCase__   :str												= v_node
												component_size[v_node] += component_size[u_node]
												self.set_component(UpperCamelCase_							)

							elif component_size[u_node] >= component_size[v_node]:
												UpperCamelCase__   :Union[str, Any]												= self.find_component(UpperCamelCase_							)
												component_size[u_node] += component_size[v_node]
												self.set_component(UpperCamelCase_							)




		def     lowerCAmelCase__				(		self							):

							'''simple docstring'''


							UpperCamelCase__   :int												= []
							UpperCamelCase__   :List[Any]												= 0

							UpperCamelCase__   :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							)

							UpperCamelCase__   :Optional[int]												= self.m_num_of_nodes

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

																	UpperCamelCase__   :List[Any]												= self.m_component[u]
																	UpperCamelCase__   :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
																											):
																																UpperCamelCase__   :Dict												= [u, v, w]

												for edge in minimum_weight_edge:
																	if isinstance(UpperCamelCase_    ,   UpperCamelCase_							):
																						UpperCamelCase__					,				UpperCamelCase__					,				UpperCamelCase__   :List[Any]												= edge

																						UpperCamelCase__   :Any												= self.m_component[u]
																						UpperCamelCase__   :List[Any]												= self.m_component[v]

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

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



def 			a      (			)  ->	None:



					'''simple docstring'''








if __name__ == "__main__":
		import doctest

		doctest.testmod()






import unittest

from transformers.utils.backbone_utils import (
    BackboneMixin,
    get_aligned_output_features_output_indices,
    verify_out_features_out_indices,
)


class   A			(unittest.TestCase    ):
			'''simple docstring'''




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







					"""simple docstring"""






					A__        =   ["""a""", """b""", """c"""]

					# Defaults to last layer if both are None
					A__      ,			A__        =   get_aligned_output_features_output_indices(__lowerCAmelCase							,	__lowerCAmelCase							,	__lowerCAmelCase   )
					self.assertEqual(__lowerCAmelCase							,	["""c"""]   )
					self.assertEqual(__lowerCAmelCase							,	[2]   )

					# Out indices set to match out features
					A__      ,			A__        =   get_aligned_output_features_output_indices(["""a""", """c"""]							,	__lowerCAmelCase							,	__lowerCAmelCase   )
					self.assertEqual(__lowerCAmelCase							,	["""a""", """c"""]   )
					self.assertEqual(__lowerCAmelCase							,	[0, 2]   )

					# Out features set to match out indices
					A__      ,			A__        =   get_aligned_output_features_output_indices(__lowerCAmelCase							,	[0, 2]							,	__lowerCAmelCase   )
					self.assertEqual(__lowerCAmelCase							,	["""a""", """c"""]   )
					self.assertEqual(__lowerCAmelCase							,	[0, 2]   )

					# Out features selected from negative indices
					A__      ,			A__        =   get_aligned_output_features_output_indices(__lowerCAmelCase							,	[-3, -1]							,	__lowerCAmelCase   )
					self.assertEqual(__lowerCAmelCase							,	["""a""", """c"""]   )
					self.assertEqual(__lowerCAmelCase							,	[-3, -1]   )






			def    a_       (			self   :    Optional[Any]   )	->	Optional[Any]:







					"""simple docstring"""






					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(["""a""", """b"""]							,	(0, 1)							,	__lowerCAmelCase   )

					# Out features must be a list
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(("""a""", """b""")							,	(0, 1)							,	["""a""", """b"""]   )

					# Out features must be a subset of stage names
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(["""a""", """b"""]							,	(0, 1)							,	["""a"""]   )

					# Out indices must be a list or tuple
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(__lowerCAmelCase							,	0							,	["""a""", """b"""]   )

					# Out indices must be a subset of stage names
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(__lowerCAmelCase							,	(0, 1)							,	["""a"""]   )

					# Out features and out indices must be the same length
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(["""a""", """b"""]							,	(0,)							,	["""a""", """b""", """c"""]   )

					# Out features should match out indices
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(["""a""", """b"""]							,	(0, 2)							,	["""a""", """b""", """c"""]   )

					# Out features and out indices should be in order
					with self.assertRaises(__lowerCAmelCase   ):
							verify_out_features_out_indices(["""b""", """a"""]							,	(0, 1)							,	["""a""", """b"""]   )

					# Check passes with valid inputs
					verify_out_features_out_indices(["""a""", """b""", """d"""]							,	(0, 1, -1)							,	["""a""", """b""", """c""", """d"""]   )







			def    a_       (			self   :    Union[str, Any]   )	->	List[str]:







					"""simple docstring"""






					A__        =   BackboneMixin()

					A__        =   ["""a""", """b""", """c"""]
					A__        =   ["""a""", """c"""]
					A__        =   [0, 2]

					# Check that the output features and indices are set correctly
					self.assertEqual(backbone.out_features							,	["""a""", """c"""]   )
					self.assertEqual(backbone.out_indices							,	[0, 2]   )

					# Check out features and indices are updated correctly
					A__        =   ["""a""", """b"""]
					self.assertEqual(backbone.out_features							,	["""a""", """b"""]   )
					self.assertEqual(backbone.out_indices							,	[0, 1]   )

					A__        =   [-3, -1]
					self.assertEqual(backbone.out_features							,	["""a""", """c"""]   )
					self.assertEqual(backbone.out_indices							,	[-3, -1]   )



