


"""simple docstring"""




from __future__ import annotations

import os
from collections.abc import Mapping

__magic_name__						: str    =				tuple[int, int]




class 			__snake_case   :




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




							def   __a   (     self:    Optional[int]     ,							A_:    EdgeT     ,							A_:    int   ):
										self.vertices.add(edge[0]   )
										self.vertices.add(edge[1]   )
										__lowerCamelCase          =      weight




							def   __a   (     self:    Dict   ):
										__lowerCamelCase          =      Graph({min(self.vertices   )}     ,							{}   )
										__lowerCamelCase          =      42
										__lowerCamelCase          =      42
										__lowerCamelCase          =      42
										__lowerCamelCase          =      42

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

													subgraph.add_edge(A_     ,							A_   )

										return subgraph





def       a_ (	lowercase__ :str = "p107_network.txt"     ):
			__lowerCamelCase          =      os.path.abspath(os.path.dirname(lowercase__     )     )
			__lowerCamelCase          =      os.path.join(lowercase__,			lowercase__     )
			__lowerCamelCase          =      {}
			__lowerCamelCase          =      42
			__lowerCamelCase          =      42
			__lowerCamelCase          =      42

			with open(lowercase__     ) as f:
						__lowerCamelCase          =      f.read().strip().split("""\n"""     )

			__lowerCamelCase          =      [line.split(""","""     ) for line in data]

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

			__lowerCamelCase          =      Graph(set(range(len(lowercase__     )     )     ),			lowercase__     )

			__lowerCamelCase          =      graph.prims_algorithm()

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

			return initial_total - optimal_total


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








"""simple docstring"""




from __future__ import annotations





def       a_ (	lowercase__ :list[float]     ):
			if len(lowercase__     ) < 2:
						raise ValueError("""Monogons and Digons are not polygons in the Euclidean space"""     )
			if any(i <= 0 for i in nums     ):
						raise ValueError("""All values must be greater than 0"""     )
			__lowerCamelCase          =      nums.copy()
			copy_nums.sort()
			return copy_nums[-1] < sum(copy_nums[:-1]     )


if __name__ == "__main__":
					import doctest

					doctest.testmod()




