

from __future__ import annotations

import os
from collections.abc import Mapping

lowerCAmelCase_       	=	tuple[int, int]





class 	snake_case_   :







			'''simple docstring'''

			def __init__(     self :				Dict							,   _UpperCamelCase :				set[int]							,   _UpperCamelCase :				Mapping[EdgeT, int]							)      ->None:
									snake_case_   =	vertices
									snake_case_   =	{
									    (min(_UpperCamelCase							), max(_UpperCamelCase							)): weight for edge, weight in edges.items()
									}







			def 				snake_case__(     self :				Union[str, Any]							,   _UpperCamelCase :				EdgeT							,   _UpperCamelCase :				int							)      ->None:
									self.vertices.add(edge[0]							)
									self.vertices.add(edge[1]							)
									snake_case_   =	weight







			def 				snake_case__(     self :				Dict							)      ->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   __SCREAMING_SNAKE_CASE					(SCREAMING_SNAKE_CASE__ = "p107_network.txt"       ):
						snake_case_   =	os.path.abspath(os.path.dirname(SCREAMING_SNAKE_CASE__       )       )
						snake_case_   =	os.path.join(SCREAMING_SNAKE_CASE__  ,		SCREAMING_SNAKE_CASE__       )
						snake_case_   =	{}
						snake_case_   =	42
						snake_case_   =	42
						snake_case_   =	42

						with open(SCREAMING_SNAKE_CASE__       ) as f:
												snake_case_   =	f.read().strip().split('''\n'''       )

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

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

						snake_case_   =	Graph(set(range(len(SCREAMING_SNAKE_CASE__       )       )       )  ,		SCREAMING_SNAKE_CASE__       )

						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() = }""")


from collections import deque

from .hash_table import HashTable





class 	snake_case_   (		__A					):







			'''simple docstring'''

			def __init__(     self :				int							,   *_UpperCamelCase :				int							,   **_UpperCamelCase :				Tuple							)      ->Tuple:
									super().__init__(*_UpperCamelCase							,   **_UpperCamelCase							)







			def 				snake_case__(     self :				Dict							,   _UpperCamelCase :				List[str]							,   _UpperCamelCase :				Dict							)      ->Tuple:
									snake_case_   =	deque([]							) if self.values[key] is None else self.values[key]
									self.values[key].appendleft(_UpperCamelCase							)
									snake_case_   =	self.values[key]







			def 				snake_case__(     self :				List[Any]							)      ->str:
									return (
									    sum(self.charge_factor - len(_UpperCamelCase							) for slot in self.values							)
									    / self.size_table
									    * self.charge_factor
									)







			def 				snake_case__(     self :				Dict							,   _UpperCamelCase :				Union[str, Any]							,   _UpperCamelCase :				Optional[int]=None							)      ->str:
									if not (
									    len(self.values[key]							) == self.charge_factor and self.values.count(_UpperCamelCase							) == 0
									):
															return key
									return super()._collision_resolution(_UpperCamelCase							,   _UpperCamelCase							)