




from __future__ import annotations

import os
from collections.abc import Mapping

__UpperCamelCase   :			Any          = tuple[int, int]

class 						__lowerCAmelCase      :
							def __init__(		self		:Tuple						, __magic_name__		:set[int]						, __magic_name__		:Mapping[EdgeT, int]							):







								'''simple docstring'''







								a									=				vertices
								a									=				{
								    (min(__snake_case							), max(__snake_case							)): weight for edge, weight in edges.items()
								}
							def  lowerCamelCase__				(		self		:List[Any]						, __magic_name__		:EdgeT						, __magic_name__		:int							):







								'''simple docstring'''







								self.vertices.add(edge[0]							)
								self.vertices.add(edge[1]							)
								a									=				weight





							def  lowerCamelCase__				(		self		:Tuple							):







								'''simple docstring'''







								a									=				Graph({min(self.vertices							)}						, {}							)
								a									=				42
								a									=				42
								a									=				42
								a									=				42

								while len(subgraph.vertices							) < len(self.vertices							):
									a									=				max(self.edges.values()							) + 1
									for edge, weight in self.edges.items():
										if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
											if weight < min_weight:
												a									=				edge
												a									=				weight

									subgraph.add_edge(__snake_case						, __snake_case							)

								return subgraph







def 						__A						(      __lowerCamelCase = "p107_network.txt"       ) ->			int:
	a									=				os.path.abspath(os.path.dirname(__UpperCAmelCase       )       )
	a									=				os.path.join(__UpperCAmelCase				,     __UpperCAmelCase       )
	a									=				{}
	a									=				42
	a									=				42
	a									=				42

	with open(__UpperCAmelCase       ) as f:
		a									=				f.read().strip().split("""\n"""       )

	a									=				[line.split(""","""       ) for line in data]

	for edgea in range(1				,     len(__UpperCAmelCase       )       ):
		for edgea in range(__UpperCAmelCase       ):
			if adjaceny_matrix[edgea][edgea] != "-":
				a									=				int(adjaceny_matrix[edgea][edgea]       )

	a									=				Graph(set(range(len(__UpperCAmelCase       )       )       )				,     __UpperCAmelCase       )

	a									=				graph.prims_algorithm()

	a									=				sum(graph.edges.values()       )
	a									=				sum(subgraph.edges.values()       )

	return initial_total - optimal_total


if __name__ == "__main__":
		print(F'{solution() = }')









"""simple docstring"""





from __future__ import annotations



def   a    (     __UpperCAmelCase      :    list  )    ->							list:
						if len(__UpperCAmelCase  ) == 0:
												return []
						__magic_name__,			__magic_name__:	List[str]							=       min(__UpperCAmelCase  ), max(__UpperCAmelCase  )
						__magic_name__:	Optional[int]							=       int(max_value - min_value  ) + 1
						__magic_name__:	list[list]							=       [[] for _ in range(__UpperCAmelCase  )]

						for i in my_list:
												buckets[int(i - min_value  )].append(__UpperCAmelCase  )

						return [v for bucket in buckets for v in sorted(__UpperCAmelCase  )]


if __name__ == "__main__":
							from doctest import testmod

							testmod()
							assert bucket_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
							assert bucket_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]



