





'''simple docstring'''






from __future__ import annotations

import os
from collections.abc import Mapping

lowerCAmelCase       		=      tuple[int, int]
class 		lowerCamelCase  :



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



	def   _lowerCamelCase    (   self		,      a_		,      a_	):
			self.vertices.add(edge[0]	)
			self.vertices.add(edge[1]	)
			lowerCAmelCase     :    Any						=   weight





	def   _lowerCamelCase    (   self	):
			lowerCAmelCase     :    Graph						=   Graph({min(self.vertices	)}		,      {}	)
			lowerCAmelCase     :    EdgeT
			lowerCAmelCase     :    int
			lowerCAmelCase     :    EdgeT
			lowerCAmelCase     :    int

			while len(subgraph.vertices	) < len(self.vertices	):
					lowerCAmelCase     :    Dict						=   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:
											lowerCAmelCase     :    int						=   edge
											lowerCAmelCase     :    str						=   weight

					subgraph.add_edge(a_		,      a_	)

			return subgraph






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

		with open(a_	) as f:
				lowerCAmelCase     :    int						=   f.read().strip().split("\n"	)

		lowerCAmelCase     :    Any						=   [line.split(","	) for line in data]

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

		lowerCAmelCase     :    Graph						=   Graph(set(range(len(a_	)	)	)      ,a_	)

		lowerCAmelCase     :    Graph						=   graph.prims_algorithm()

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

		return initial_total - optimal_total


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










'''simple docstring'''






from collections import namedtuple

lowerCAmelCase       		=      namedtuple("""from_to""", """from_ to""")

lowerCAmelCase       		=      {
    """cubicmeter""": from_to(1, 1),
    """litre""": from_to(0.001, 10_00),
    """kilolitre""": from_to(1, 1),
    """gallon""": from_to(0.00454, 264.172),
    """cubicyard""": from_to(0.76455, 1.30795),
    """cubicfoot""": from_to(0.028, 35.3147),
    """cup""": from_to(0.000236588, 4226.75),
}






def      __A						(							a_						:  float      ,a_						:  str      ,a_						:  str	):
		if from_type not in METRIC_CONVERSION:
				raise ValueError(
				    f'''Invalid \'from_type\' value: {from_type!r}  Supported values are:\n'''
				    + ", ".join(a_	)	)
		if to_type not in METRIC_CONVERSION:
				raise ValueError(
				    f'''Invalid \'to_type\' value: {to_type!r}.  Supported values are:\n'''
				    + ", ".join(a_	)	)
		return value * METRIC_CONVERSION[from_type].from_ * METRIC_CONVERSION[to_type].to


if __name__ == "__main__":
					import doctest

					doctest.testmod()



