



"""simple docstring"""


from __future__ import annotations

from typing import Any







class 				A_      :



						"""simple docstring"""






						def __init__( self			:Optional[int]       ,  lowercase_			:int )    ->      None:
												UpperCAmelCase					=			num_of_nodes
												UpperCAmelCase					=			[]
												UpperCAmelCase					=			{}






						def      UpperCAmelCase__					( self			:List[str]       ,  lowercase_			:int       ,  lowercase_			:int       ,  lowercase_			:int )    ->      None:
												self.m_edges.append([u_node, v_node, weight] )






						def      UpperCAmelCase__					( self			:Any       ,  lowercase_			:int )    ->      int:

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






						def      UpperCAmelCase__					( self			:Union[str, Any]       ,  lowercase_			:int )    ->      None:

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






						def      UpperCAmelCase__					( self			:Optional[int]       ,  lowercase_			:list[int]       ,  lowercase_			:int       ,  lowercase_			:int )    ->      None:

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

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






						def      UpperCAmelCase__					( self			:Optional[int] )    ->      None:
												UpperCAmelCase					=			[]
												UpperCAmelCase					=			0

												UpperCAmelCase					=			[-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					=			self.m_num_of_nodes

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

																								UpperCAmelCase					=			self.m_component[u]
																								UpperCAmelCase					=			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					=			[u, v, w]

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

																														UpperCAmelCase					=			self.m_component[u]
																														UpperCAmelCase					=			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

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


def 			_lowerCAmelCase				(       ):
						pass


if __name__ == "__main__":
				import doctest

				doctest.testmod()










"""simple docstring"""


import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp

def 			_lowerCAmelCase				(       ):
						UpperCAmelCase					=			ArgumentParser(
						    description=(
						        'PyTorch TPU distributed training launch helper utility that will spawn up multiple distributed processes'
						    )						)

						# Optional arguments for the launch helper
						parser.add_argument('--num_cores'		,     type=lowercase_		,     default=1		,     help='Number of TPU cores to use (1 or 8).'						)

						# positional
						parser.add_argument(
						    'training_script'		,     type=lowercase_		,     help=(
						        'The full path to the single TPU training '
						        'program/script to be launched in parallel, '
						        'followed by all the arguments for the '
						        'training script'
						    )		,     )

						# rest from the training program
						parser.add_argument('training_script_args'		,     nargs=lowercase_						)

						return parser.parse_args()

def 			_lowerCAmelCase				(       ):
						UpperCAmelCase					=			parse_args()

						# Import training_script as a module.
						UpperCAmelCase					=			Path(args.training_script						)
						sys.path.append(str(script_fpath.parent.resolve()						)						)
						UpperCAmelCase					=			script_fpath.stem
						UpperCAmelCase					=			importlib.import_module(lowercase_						)

						# Patch sys.argv
						UpperCAmelCase					=			[args.training_script] + args.training_script_args + ['--tpu_num_cores', str(args.num_cores						)]

						xmp.spawn(mod._mp_fn		,     args=()		,     nprocs=args.num_cores						)


if __name__ == "__main__":
				main()





