





"""simple docstring"""






from __future__ import annotations

import os
from collections.abc import Mapping

SCREAMING_SNAKE_CASE						:						Optional[int]					   =       tuple[int, int]





class       snake_case_       :



	"""simple docstring"""

	def __init__(      self  ,					__a  ,					__a						):


					"""simple docstring"""

					A__							 =       vertices
					A__							 =       {
					    (min(__SCREAMING_SNAKE_CASE						), max(__SCREAMING_SNAKE_CASE						)): weight for edge, weight in edges.items()
					}


	def       _UpperCAmelCase						(      self  ,					__a  ,					__a						):


					"""simple docstring"""

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






	def       _UpperCAmelCase						(      self						):


					"""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(__SCREAMING_SNAKE_CASE  ,					__SCREAMING_SNAKE_CASE						)

					return subgraph





def  __lowerCamelCase					(					lowerCAmelCase__ = "p107_network.txt"				):
				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"""






import numpy as np



def  __lowerCamelCase					(					lowerCAmelCase__				):
				return 1 / (1 + np.exp(-vector				))



def  __lowerCamelCase					(					lowerCAmelCase__				):
				return vector * sigmoid(lowerCAmelCase__				)


if __name__ == "__main__":
					import doctest

					doctest.testmod()


