

from __future__ import annotations

import os
from collections.abc import Mapping

UpperCAmelCase_							:					List[str]		 =   tuple[int, int]






class      lowerCamelCase_      :




	def __init__(     self						:     Dict					,      __A						:     set[int]					,      __A						:     Mapping[EdgeT, int]							):
		__A :			set[int]		    =			vertices
		__A :			dict[EdgeT, int]		    =			{
		    (min(__A							), max(__A							)): weight for edge, weight in edges.items()
		}




	def        lowerCAmelCase_       (     self						:     Union[str, Any]					,      __A						:     EdgeT					,      __A						:     int							):
		self.vertices.add(edge[0]							)
		self.vertices.add(edge[1]							)
		__A :			str		    =			weight




	def        lowerCAmelCase_       (     self						:     Any							):
		__A :			Graph		    =			Graph({min(self.vertices							)}					,      {}							)
		__A :			EdgeT
		__A :			int
		__A :			EdgeT
		__A :			int

		while len(subgraph.vertices							) < len(self.vertices							):
			__A :			Tuple		    =			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 :			Optional[Any]		    =			edge
						__A :			Tuple		    =			weight

			subgraph.add_edge(__A					,      __A							)

		return subgraph






def 							__SCREAMING_SNAKE_CASE     (   a__    :   str = "p107_network.txt"       )					->				int:
	__A :			str		    =			os.path.abspath(os.path.dirname(a__       )       )
	__A :			str		    =			os.path.join(a__			,a__       )
	__A :			dict[EdgeT, int]		    =			{}
	__A :			list[str]
	__A :			int
	__A :			int

	with open(a__       ) as f:
		__A :			Any		    =			f.read().strip().split("""\n"""       )

	__A :			List[str]		    =			[line.split(""","""       ) for line in data]

	for edgea in range(1			,len(a__       )       ):
		for edgea in range(a__       ):
			if adjaceny_matrix[edgea][edgea] != "-":
				__A :			Optional[int]		    =			int(adjaceny_matrix[edgea][edgea]       )

	__A :			Graph		    =			Graph(set(range(len(a__       )       )       )			,a__       )

	__A :			Graph		    =			graph.prims_algorithm()

	__A :			int		    =			sum(graph.edges.values()       )
	__A :			int		    =			sum(subgraph.edges.values()       )

	return initial_total - optimal_total


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








UpperCAmelCase_							:					dict[str, float]		 =   {
    "joule": 1.0,
    "kilojoule": 1_000,
    "megajoule": 1_000_000,
    "gigajoule": 1_000_000_000,
    "wattsecond": 1.0,
    "watthour": 3_600,
    "kilowatthour": 3_600_000,
    "newtonmeter": 1.0,
    "calorie_nutr": 4_186.8,
    "kilocalorie_nutr": 4_186_800.00,
    "electronvolt": 1.6_0217_6634e-19,
    "britishthermalunit_it": 1_055.05_585,
    "footpound": 1.35_5818,
}
def 							__SCREAMING_SNAKE_CASE     (   a__    :   str			,a__    :   str			,a__    :   float       )					->				float:
	if to_type not in ENERGY_CONVERSION or from_type not in ENERGY_CONVERSION:
		__A :			Optional[int]		    =			(
		    f"""Incorrect 'from_type' or 'to_type' value: {from_type!r}, {to_type!r}\n"""
		    f"""Valid values are: {", ".join(a__       )}"""
		)
		raise ValueError(a__       )
	return value * ENERGY_CONVERSION[from_type] / ENERGY_CONVERSION[to_type]


if __name__ == "__main__":
			import doctest

			doctest.testmod()





