



'''simple docstring'''

from __future__ import annotations

import os
from collections.abc import Mapping

a							   =				tuple[int, int]






class 						a_		:


							def __init__(				self   :						str      ,						a_   :						Union[str, Any]      ,						a_   :						List[Any]			)			->					List[str]:
										snake_case:    int      							=vertices
										snake_case:    Dict      							={
										    (min(a_			), max(a_			)): weight for edge, weight in edges.items()
										}


							def    UpperCamelCase     (				self   :						Dict      ,						a_   :						List[str]      ,						a_   :						List[str]			)			->					Union[str, Any]:
										self.vertices.add(edge[0]			)
										self.vertices.add(edge[1]			)
										snake_case:    Optional[int]      							=weight




							def    UpperCamelCase     (				self   :						Optional[Any]			)			->					int:
										snake_case:    List[str]      							=Graph({min(self.vertices			)}      ,						{}			)
										snake_case:    Optional[Any]      							=4_2
										snake_case:    int      							=4_2
										snake_case:    Any      							=4_2
										snake_case:    Tuple      							=4_2

										while len(subgraph.vertices			) < len(self.vertices			):
													snake_case:    int      							=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:    Tuple      							=edge
																						snake_case:    Any      							=weight

													subgraph.add_edge(a_      ,						a_			)

										return subgraph







def a_     (    __UpperCAmelCase = "p107_network.txt"					)				->					Union[str, Any]:





			"""simple docstring"""







			snake_case:    Tuple      							=os.path.abspath(os.path.dirname(__lowerCAmelCase					)					)
			snake_case:    Optional[Any]      							=os.path.join(__lowerCAmelCase				,							__lowerCAmelCase					)
			snake_case:    List[str]      							={}
			snake_case:    Dict      							=42
			snake_case:    Any      							=42
			snake_case:    Tuple      							=42

			with open(__lowerCAmelCase					) as f:
						snake_case:    Union[str, Any]      							=f.read().strip().split('\n'					)

			snake_case:    Optional[int]      							=[line.split(','					) for line in data]

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

			snake_case:    Dict      							=Graph(set(range(len(__lowerCAmelCase					)					)					)				,							__lowerCAmelCase					)

			snake_case:    Any      							=graph.prims_algorithm()

			snake_case:    Dict      							=sum(graph.edges.values()					)
			snake_case:    List[Any]      							=sum(subgraph.edges.values()					)

			return initial_total - optimal_total


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






from math import loga





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):
    if a < 0:
        raise ValueError("Input value must be a positive integer"				)
    elif isinstance(__lowerCAmelCase     ,		__lowerCAmelCase				):
        raise TypeError("Input value must be a 'int' type"				)
    return 0 if (a == 0) else int(loga(a & -a				)				)


if __name__ == "__main__":
     import doctest

     doctest.testmod()



