






from __future__ import annotations

from typing import Any



class 							SCREAMING_SNAKE_CASE__						:





					"""simple docstring"""






					def __init__( self					:  Optional[Any]							,		__A					:  int	):
						snake_case__			:				Optional[Any]       =  num_of_nodes
						snake_case__			:				list[list[int]]       =  []
						snake_case__			:				dict[int, int]       =  {}



					def 	_lowercase					( self					:  Optional[int]							,		__A					:  int							,		__A					:  int							,		__A					:  int	):
						self.m_edges.append([u_node, v_node, weight]	)



					def 	_lowercase					( self					:  int							,		__A					:  int	):

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



					def 	_lowercase					( self					:  Dict							,		__A					:  int	):

						if self.m_component[u_node] != u_node:
							for k in self.m_component:
								snake_case__			:				Any       =  self.find_component(__A	)



					def 	_lowercase					( self					:  Tuple							,		__A					:  list[int]							,		__A					:  int							,		__A					:  int	):

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

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






					def 	_lowercase					( self					:  str	):
						snake_case__			:				Tuple       =  []
						snake_case__			:				Union[str, 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__			:				List[Any]       =  self.m_num_of_nodes

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

								snake_case__			:				Any       =  self.m_component[u]
								snake_case__			:				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(__A							,		__A	):
									snake_case__,						snake_case__,						snake_case__			:				List[str]       =  edge

									snake_case__			:				List[Any]       =  self.m_component[u]
									snake_case__			:				str       =  self.m_component[v]

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

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







def 					SCREAMING_SNAKE_CASE    (			):
	pass


if __name__ == "__main__":
	import doctest

	doctest.testmod()











# limitations under the License.

# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works

from .pipelines import DiffusionPipeline, ImagePipelineOutput  # noqa: F401
from .utils import deprecate


deprecate(
    """pipelines_utils""",
    """0.22.0""",
    """Importing `DiffusionPipeline` or `ImagePipelineOutput` from diffusers.pipeline_utils is deprecated. Please import from diffusers.pipelines.pipeline_utils instead.""",
    standard_warn=False,
    stacklevel=3,
)



