






from __future__ import annotations

import os
from collections.abc import Mapping

_SCREAMING_SNAKE_CASE   =  tuple[int, int]






class 					SCREAMING_SNAKE_CASE_  :
       """simple docstring"""


       def __init__(				self	:Optional[Any],      snake_case	:Any,      snake_case	:Tuple):



          """simple docstring"""

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





       def 				UpperCamelCase__						(				self	:List[str],      snake_case	:Union[str, Any],      snake_case	:Optional[Any]):



          """simple docstring"""

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





       def 				UpperCamelCase__						(				self	:List[Any]):



          """simple docstring"""

          _lowercase              =Graph({min(self.vertices)},      {})
          _lowercase              =42
          _lowercase              =42
          _lowercase              =42
          _lowercase              =42

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

             subgraph.add_edge(SCREAMING_SNAKE_CASE_,      SCREAMING_SNAKE_CASE_)

          return subgraph





def        _snake_case   (_snake_case				:       str = "p107_network.txt")					->	int:
   _lowercase              =os.path.abspath(os.path.dirname(UpperCAmelCase_))
   _lowercase              =os.path.join(UpperCAmelCase_      ,    UpperCAmelCase_)
   _lowercase              ={}
   _lowercase              =42
   _lowercase              =42
   _lowercase              =42

   with open(UpperCAmelCase_) as f:
      _lowercase              =f.read().strip().split('\n')

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

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

   _lowercase              =Graph(set(range(len(UpperCAmelCase_)))      ,    UpperCAmelCase_)

   _lowercase              =graph.prims_algorithm()

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

   return initial_total - optimal_total


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






'''simple docstring'''



# Lint as: python3
import dataclasses
import re
from dataclasses import dataclass
from functools import total_ordering
from typing import Optional, Union


A__						:   Any				=    re.compile(R"""^(?P<major>\d+)""" R"""\.(?P<minor>\d+)""" R"""\.(?P<patch>\d+)$""")





@total_ordering
@dataclass
class   UpperCAmelCase_    :





    """simple docstring"""






    lowerCamelCase    :   str
    lowerCamelCase    :   Optional[str]					=     None
    lowerCamelCase    :   Optional[Union[str, int]]					=     None
    lowerCamelCase    :   Optional[Union[str, int]]					=     None
    lowerCamelCase    :   Optional[Union[str, int]]					=     None







    def  lowercase_							(				self      )							->	List[str]:
         __lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase  :      List[Any]														=						_str_to_version_tuple(self.version_str      )







    def __repr__(				self      )							->	Any:
         return f'{self.tuple[0]}.{self.tuple[1]}.{self.tuple[2]}'







    @property
    def  lowercase_							(				self      )							->	int:
         return self.major, self.minor, self.patch







    def  lowercase_							(				self     ,	SCREAMING_SNAKE_CASE_      )							->	List[Any]:
         if isinstance(SCREAMING_SNAKE_CASE_     ,	SCREAMING_SNAKE_CASE_      ):
              return Version(SCREAMING_SNAKE_CASE_      )
         elif isinstance(SCREAMING_SNAKE_CASE_     ,	SCREAMING_SNAKE_CASE_      ):
              return other
         raise TypeError(f'{other} (type {type(SCREAMING_SNAKE_CASE_      )}) cannot be compared to version.'      )







    def __eq__(				self     ,	SCREAMING_SNAKE_CASE_      )							->	Optional[Any]:
         try:
              __lowerCamelCase  :      Union[str, Any]														=						self._validate_operand(SCREAMING_SNAKE_CASE_      )
         except (TypeError, ValueError):
              return False
         else:
              return self.tuple == other.tuple







    def __lt__(				self     ,	SCREAMING_SNAKE_CASE_      )							->	List[Any]:
         __lowerCamelCase  :      List[Any]														=						self._validate_operand(SCREAMING_SNAKE_CASE_      )
         return self.tuple < other.tuple







    def __hash__(				self      )							->	List[str]:
         return hash(_version_tuple_to_str(self.tuple      )      )







    @classmethod
    def  lowercase_							(				cls     ,	SCREAMING_SNAKE_CASE_      )							->	List[str]:
         __lowerCamelCase  :      str														=						{f.name for f in dataclasses.fields(cls      )}
         return cls(**{k: v for k, v in dic.items() if k in field_names}      )







    def  lowercase_							(				self      )							->	str:
         return self.version_str







def      UpperCAmelCase__   (      UpperCAmelCase_       :							Union[str, Any]				)	->						str:
     __lowerCamelCase  :      str														=						_VERSION_REG.match(UpperCAmelCase_				)
     if not res:
          raise ValueError(F'Invalid version \'{version_str}\'. Format should be x.y.z with {{x,y,z}} being digits.'				)
     return tuple(int(UpperCAmelCase_				) for v in [res.group('major'				), res.group('minor'				), res.group('patch'				)]				)



def      UpperCAmelCase__   (      UpperCAmelCase_       :							List[str]				)	->						Dict:
     return ".".join(str(UpperCAmelCase_				) for v in version_tuple				)






