






'''simple docstring'''



from __future__ import annotations

import os
from collections.abc import Mapping

__UpperCamelCase      :       Optional[int]      			=      tuple[int, int]
class 							__SCREAMING_SNAKE_CASE       :




      def __init__(  self ,   lowerCamelCase ,   lowerCamelCase      )							->Tuple:



         '''simple docstring'''
         __a				     =    vertices
         __a				     =    {
             (min(__SCREAMING_SNAKE_CASE      ), max(__SCREAMING_SNAKE_CASE      )): weight for edge, weight in edges.items()
         }




      def  __UpperCamelCase							(  self ,   lowerCamelCase ,   lowerCamelCase      )							->Optional[int]:



         '''simple docstring'''
         self.vertices.add(edge[0]      )
         self.vertices.add(edge[1]      )
         __a				     =    weight






      def  __UpperCamelCase							(  self      )							->str:



         '''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    __UpperCAmelCase	(				SCREAMING_SNAKE_CASE__:	List[Any] = "p107_network.txt"    )  ->			Dict:

   """simple docstring"""
   __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 warnings

from .generation import TFGenerationMixin
class 							__SCREAMING_SNAKE_CASE       (							_lowerCAmelCase     ):
      # warning at import time
      warnings.warn(
          "Importing `TFGenerationMixin` from `src/transformers/generation_tf_utils.py` is deprecated and will "
          "be removed in Transformers v5. Import as `from transformers import TFGenerationMixin` instead."      ,      _lowerCAmelCase      ,      )