


'''simple docstring'''




from __future__ import annotations

import os
from collections.abc import Mapping

__snake_case    						=tuple[int, int]

class 		UpperCAmelCase_      :





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





     def 							__UpperCAmelCase      ( self       :      Any    ,      UpperCAmelCase__       :      EdgeT    ,      UpperCAmelCase__       :      int    )				->  None:
        self.vertices.add(edge[0]    )
        self.vertices.add(edge[1]    )
        lowerCAmelCase     =			weight





     def 							__UpperCAmelCase      ( self       :      List[Any]    )				->  Graph:
        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(UpperCAmelCase__    ,      UpperCAmelCase__    )

        return subgraph





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

   with open(lowerCamelCase				) as f:
      lowerCAmelCase     =			f.read().strip().split('\n'				)

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

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

   lowerCAmelCase     =			Graph(set(range(len(lowerCamelCase				)				)				)	, lowerCamelCase				)

   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'''




class 		UpperCAmelCase_      :





     def __init__( self       :      List[str]    ,      UpperCAmelCase__       :      list[int]    )				->  None:
        lowerCAmelCase     =			len(UpperCAmelCase__    )
        lowerCAmelCase     =			[0] * len_array

        if len_array > 0:
           lowerCAmelCase     =			array[0]

        for i in range(1    ,      UpperCAmelCase__    ):
           lowerCAmelCase     =			self.prefix_sum[i - 1] + array[i]





     def 							__UpperCAmelCase      ( self       :      Optional[Any]    ,      UpperCAmelCase__       :      int    ,      UpperCAmelCase__       :      int    )				->  int:
        if start == 0:
           return self.prefix_sum[end]

        return self.prefix_sum[end] - self.prefix_sum[start - 1]





     def 							__UpperCAmelCase      ( self       :      int    ,      UpperCAmelCase__       :      int    )				->  bool:
        lowerCAmelCase     =			{0}
        for sum_item in self.prefix_sum:
           if sum_item - target_sum in sums:
              return True

           sums.add(UpperCAmelCase__    )

        return False


if __name__ == "__main__":
       import doctest

       doctest.testmod()





