






"""simple docstring"""






from __future__ import annotations

import os
from collections.abc import Mapping

A_      	=     tuple[int, int]
class     __lowerCAmelCase :







  '''simple docstring'''


  def __init__(   self:		Optional[Any]					,      UpperCamelCase_:		List[Any]					,      UpperCamelCase_:		List[Any]       ):
     UpperCamelCase_			     =vertices
     UpperCamelCase_			     ={
         (min(UpperCamelCase_       ), max(UpperCamelCase_       )): weight for edge, weight in edges.items()
     }
  def        UpperCamelCase__ (   self:		Dict					,      UpperCamelCase_:		Optional[int]					,      UpperCamelCase_:		int       ):
     self.vertices.add(edge[0]       )
     self.vertices.add(edge[1]       )
     UpperCamelCase_			     =weight





  def        UpperCamelCase__ (   self:		List[Any]       ):
     UpperCamelCase_			     =Graph({min(self.vertices       )}					,      {}       )
     UpperCamelCase_			     =42
     UpperCamelCase_			     =42
     UpperCamelCase_			     =42
     UpperCamelCase_			     =42

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

        subgraph.add_edge(UpperCamelCase_					,      UpperCamelCase_       )

     return subgraph




def     _UpperCamelCase      (	A = "p107_network.txt"      ):
   UpperCamelCase_			     =os.path.abspath(os.path.dirname(__snake_case      )      )
   UpperCamelCase_			     =os.path.join(__snake_case     ,							__snake_case      )
   UpperCamelCase_			     ={}
   UpperCamelCase_			     =42
   UpperCamelCase_			     =42
   UpperCamelCase_			     =42

   with open(__snake_case      ) as f:
      UpperCamelCase_			     =f.read().strip().split("\n"      )

   UpperCamelCase_			     =[line.split(","      ) for line in data]

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

   UpperCamelCase_			     =Graph(set(range(len(__snake_case      )      )      )     ,							__snake_case      )

   UpperCamelCase_			     =graph.prims_algorithm()

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

   return initial_total - optimal_total


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




"""simple docstring"""
import random

def 				_snake_case      (   __snake_case							:      List[Any]						, __snake_case							:      List[Any]						, __snake_case							:      int   ):




   """simple docstring"""







   _lowerCamelCase	:					List[str]   =		a[left_index]
   _lowerCamelCase	:					Dict   =		left_index + 1
   for j in range(left_index + 1						, __snake_case   ):
      if a[j] < pivot:
         _lowerCamelCase   ,    _lowerCamelCase	:					List[str]   =		a[i], a[j]
         i += 1
   _lowerCamelCase   ,    _lowerCamelCase	:					Optional[int]   =		a[i - 1], a[left_index]
   return i - 1

def 				_snake_case      (   __snake_case							:      Tuple						, __snake_case							:      List[str]						, __snake_case							:      List[str]   ):




   """simple docstring"""







   if left < right:
      _lowerCamelCase	:					Any   =		random.randint(__snake_case						, right - 1   )
      _lowerCamelCase   ,    _lowerCamelCase	:					Optional[Any]   =		(
          a[left],
          a[pivot],
      )  # switches the pivot with the left most bound
      _lowerCamelCase	:					List[str]   =		partition(__snake_case						, __snake_case						, __snake_case   )
      quick_sort_random(
          __snake_case						, __snake_case						, __snake_case   )  # recursive quicksort to the left of the pivot point
      quick_sort_random(
          __snake_case						, pivot_index + 1						, __snake_case   )  # recursive quicksort to the right of the pivot point

def 				_snake_case      (   ):




   """simple docstring"""







   _lowerCamelCase	:					Union[str, Any]   =		input("""Enter numbers separated by a comma:\n"""   ).strip()
   _lowerCamelCase	:					int   =		[int(__snake_case   ) for item in user_input.split(""","""   )]

   quick_sort_random(__snake_case						, 0						, len(__snake_case   )   )

   print(__snake_case   )


if __name__ == "__main__":
 main()

