"""simple docstring"""
from __future__ import annotations

import os
from collections.abc import Mapping

SCREAMING_SNAKE_CASE__      						=  tuple[int, int]



class   lowerCAmelCase_    :



				"""simple docstring"""

				def __init__(				self		,    lowerCAmelCase		,    lowerCAmelCase    ):






										"""simple docstring"""

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

				def 		snake_case (				self		,    lowerCAmelCase		,    lowerCAmelCase    ):






										"""simple docstring"""

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

				def 		snake_case (				self    ):






										"""simple docstring"""

										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(lowerCAmelCase		,    lowerCAmelCase    )

										return subgraph





def    lowerCAmelCase__    (			_UpperCamelCase       :				str = "p107_network.txt"					)					->				int:





						"""simple docstring"""






						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 abc import ABC, abstractmethod
from typing import Optional, Union

from .. import Dataset, DatasetDict, Features, IterableDataset, IterableDatasetDict, NamedSplit
from ..utils.typing import NestedDataStructureLike, PathLike



class   lowerCAmelCase_    (			lowerCAmelCase					):



				"""simple docstring"""

				def __init__(				self		,    lowerCAmelCase = None		,    lowerCAmelCase = None		,    lowerCAmelCase = None		,    lowerCAmelCase = None		,    lowerCAmelCase = False		,    lowerCAmelCase = False		,    lowerCAmelCase = None		,    **lowerCAmelCase		,    ):






										"""simple docstring"""

										snake_case								=			path_or_paths
										snake_case								=			split if split or isinstance(lowerCAmelCase		,    lowerCAmelCase    ) else 'train'
										snake_case								=			features
										snake_case								=			cache_dir
										snake_case								=			keep_in_memory
										snake_case								=			streaming
										snake_case								=			num_proc
										snake_case								=			kwargs

				@abstractmethod
				def 		snake_case (				self    ):






										"""simple docstring"""

										pass





class   lowerCAmelCase_    (			lowerCAmelCase					):



				"""simple docstring"""

				def __init__(				self		,    lowerCAmelCase = None		,    lowerCAmelCase = None		,    lowerCAmelCase = False		,    lowerCAmelCase = False		,    lowerCAmelCase = None		,    **lowerCAmelCase		,    ):






										"""simple docstring"""

										snake_case								=			features
										snake_case								=			cache_dir
										snake_case								=			keep_in_memory
										snake_case								=			streaming
										snake_case								=			num_proc
										snake_case								=			kwargs

				@abstractmethod
				def 		snake_case (				self    ):






										"""simple docstring"""

										pass


