





'''simple docstring'''




from __future__ import annotations

import os
from collections.abc import Mapping

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






class 				__snake_case     :





	def __init__(		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		None:
		snake_case__	       =   vertices
		snake_case__	       =   {
		    (min(UpperCamelCase_		), max(UpperCamelCase_		)): weight for edge, weight in edges.items()
		}





	def   _snake_case   (		self      ,       UpperCamelCase_      ,       UpperCamelCase_		)      ->		None:
		self.vertices.add(edge[0]		)
		self.vertices.add(edge[1]		)
		snake_case__	       =   weight





	def   _snake_case   (		self		)      ->		Graph:
		snake_case__	       =   Graph({min(self.vertices		)}      ,       {}		)
		snake_case__	       =   42
		snake_case__	       =   42
		snake_case__	       =   42
		snake_case__	       =   42

		while len(subgraph.vertices		) < len(self.vertices		):
			snake_case__	       =   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:
						snake_case__	       =   edge
						snake_case__	       =   weight

			subgraph.add_edge(UpperCamelCase_      ,       UpperCamelCase_		)

		return subgraph





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

	with open(UpperCAmelCase_							) as f:
		snake_case__	       =   f.read().strip().split('\n'							)

	snake_case__	       =   [line.split(','							) for line in data]

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

	snake_case__	       =   Graph(set(range(len(UpperCAmelCase_							)							)							)					,				UpperCAmelCase_							)

	snake_case__	       =   graph.prims_algorithm()

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

	return initial_total - optimal_total


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










'''simple docstring'''




from __future__ import annotations

import math




def 						__lowerCamelCase			(	UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)   ->int:

	if depth < 0:
		raise ValueError('Depth cannot be less than 0'							)

	if not scores:
		raise ValueError('Scores cannot be empty'							)

	if depth == height:
		return scores[node_index]

	return (
	    max(
	        minimax(depth + 1					,				node_index * 2					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)					,				minimax(depth + 1					,				node_index * 2 + 1					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)					,				)
	    if is_max
	    else min(
	        minimax(depth + 1					,				node_index * 2					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)					,				minimax(depth + 1					,				node_index * 2 + 1					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)					,				)
	)




def 						__lowerCamelCase			(	)   ->None:
	snake_case__	       =   [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
	snake_case__	       =   math.log(len(UpperCAmelCase_							)					,				2							)
	print(f'''Optimal value : {minimax(0					,				0					,				UpperCAmelCase_					,				UpperCAmelCase_					,				UpperCAmelCase_							)}'''							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()



