






from __future__ import annotations

import os
from collections.abc import Mapping

lowerCAmelCase_           = tuple[int, int]
class      UpperCamelCase :







  """simple docstring"""



  def __init__(  self		:       Union[str, Any]						,_SCREAMING_SNAKE_CASE		:       set[int]						,_SCREAMING_SNAKE_CASE		:       Mapping[EdgeT, int]		)    ->   None:


      '''simple docstring'''
      A	 =      vertices
      A	 =      {
          (min(_SCREAMING_SNAKE_CASE		), max(_SCREAMING_SNAKE_CASE		)): weight for edge, weight in edges.items()
      }
  def       A(  self		:       Any						,_SCREAMING_SNAKE_CASE		:       EdgeT						,_SCREAMING_SNAKE_CASE		:       int		)    ->   None:


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







  def       A(  self		:       str		)    ->   Graph:


      '''simple docstring'''
      A	 =      Graph({min(self.vertices		)}						,{}		)
      A	 =      4_2
      A	 =      4_2
      A	 =      4_2
      A	 =      4_2

      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      snake_case		(							UpperCAmelCase	:       str = "p107_network.txt"   ):
    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() = }''')













import copy
import re
class      UpperCamelCase :







		"""simple docstring"""



		snake_case    =   "hp"
		snake_case    =   {}
		snake_case    =   None
		@classmethod
		def       A(  cls		:       Union[str, Any]						,_SCREAMING_SNAKE_CASE		:       int						,_SCREAMING_SNAKE_CASE		:       List[Any]		)    ->   int:


						'''simple docstring'''
						A	 =      prefix
						A	 =      defaults
						cls.build_naming_info()
		@staticmethod
		def       A(  _SCREAMING_SNAKE_CASE		:       List[str]						,_SCREAMING_SNAKE_CASE		:       List[Any]		)    ->   Optional[Any]:


						'''simple docstring'''
						if len(_SCREAMING_SNAKE_CASE		) == 0:
										return ""
						A	 =      None
						if any(char.isdigit() for char in word		):
										raise Exception(f'Parameters should not contain numbers: \'{word}\' contains a number'		)
						if word in info["short_word"]:
										return info["short_word"][word]
						for prefix_len in range(1						,len(_SCREAMING_SNAKE_CASE		) + 1		):
										A	 =      word[:prefix_len]
										if prefix in info["reverse_short_word"]:
														continue
										else:
														A	 =      prefix
														break

						if short_word is None:
										# Paranoid fallback
										def int_to_alphabetic(_SCREAMING_SNAKE_CASE		:       Optional[int]		):
														A	 =      ''
														while integer != 0:
																		A	 =      chr(ord('A'		) + integer % 1_0		) + s
																		integer //= 1_0
														return s

										A	 =      0
										while True:
														A	 =      word + '#' + int_to_alphabetic(_SCREAMING_SNAKE_CASE		)
														if sword in info["reverse_short_word"]:
																		continue
														else:
																		A	 =      sword
																		break

						A	 =      short_word
						A	 =      word
						return short_word
		@staticmethod
		def       A(  _SCREAMING_SNAKE_CASE		:       Optional[int]						,_SCREAMING_SNAKE_CASE		:       Optional[int]		)    ->   int:


						'''simple docstring'''
						A	 =      param_name.split('_'		)

						A	 =      [TrialShortNamer.shortname_for_word(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		) for word in words]

						# We try to create a separatorless short name, but if there is a collision we have to fallback
						# to a separated short name
						A	 =      ['', '_']

						for separator in separators:
										A	 =      separator.join(_SCREAMING_SNAKE_CASE		)
										if shortname not in info["reverse_short_param"]:
														A	 =      shortname
														A	 =      param_name
														return shortname

						return param_name
		@staticmethod
		def       A(  _SCREAMING_SNAKE_CASE		:       Optional[Any]						,_SCREAMING_SNAKE_CASE		:       Optional[int]		)    ->   List[str]:


						'''simple docstring'''
						A	 =      TrialShortNamer.shortname_for_key(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		)
						A	 =      short_name
						A	 =      param_name
		@classmethod
		def       A(  cls		:       Optional[int]		)    ->   str:


						'''simple docstring'''
						if cls.NAMING_INFO is not None:
										return

						A	 =      {
						    'short_word': {},
						    'reverse_short_word': {},
						    'short_param': {},
						    'reverse_short_param': {},
						}

						A	 =      list(cls.DEFAULTS.keys()		)

						for k in field_keys:
										cls.add_new_param_name(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		)

						A	 =      info
		@classmethod
		def       A(  cls		:       List[str]						,_SCREAMING_SNAKE_CASE		:       str		)    ->   List[Any]:


						'''simple docstring'''
						cls.build_naming_info()
						assert cls.PREFIX is not None
						A	 =      [copy.copy(cls.PREFIX		)]

						for k, v in params.items():
										if k not in cls.DEFAULTS:
														raise Exception(f'You should provide a default value for the param name {k} with value {v}'		)
										if v == cls.DEFAULTS[k]:
														# The default value is not added to the name
														continue

										A	 =      cls.NAMING_INFO['short_param'][k]

										if isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
														A	 =      1 if v else 0

										A	 =      '' if isinstance(_SCREAMING_SNAKE_CASE						,(int, float)		) else '-'
										A	 =      f'{key}{sep}{v}'
										name.append(_SCREAMING_SNAKE_CASE		)

						return "_".join(_SCREAMING_SNAKE_CASE		)







		@classmethod
		def       A(  cls		:       int						,_SCREAMING_SNAKE_CASE		:       Optional[int]		)    ->   str:


						'''simple docstring'''
						A	 =      repr[len(cls.PREFIX		) + 1 :]
						if repr == "":
										A	 =      []
						else:
										A	 =      repr.split('_'		)

						A	 =      {}

						for value in values:
										if "-" in value:
														A ,		A	 =      value.split('-'		)
										else:
														A	 =      re.sub('[0-9.]'						,''						,_SCREAMING_SNAKE_CASE		)
														A	 =      float(re.sub('[^0-9.]'						,''						,_SCREAMING_SNAKE_CASE		)		)

										A	 =      cls.NAMING_INFO['reverse_short_param'][p_k]

										A	 =      p_v

						for k in cls.DEFAULTS:
										if k not in parameters:
														A	 =      cls.DEFAULTS[k]

						return parameters





