





from __future__ import annotations

import os
from collections.abc import Mapping

_A					:				List[str]				=			tuple[int, int]



class 					__snake_case	:


    '''simple docstring'''







    def __init__(       self   ,				A_   ,				A_     ):





        '''simple docstring'''

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



    def  lowercase_					(       self   ,				A_   ,				A_     ):





        '''simple docstring'''

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




    def  lowercase_					(       self     ):





        '''simple docstring'''

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

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

            subgraph.add_edge(UpperCamelCase_   ,				UpperCamelCase_     )

        return subgraph





def 							__snake_case							(    lowerCAmelCase_ = "p107_network.txt"	)				->						int:
    SCREAMING_SNAKE_CASE__											=			os.path.abspath(os.path.dirname(UpperCAmelCase_	)	)
    SCREAMING_SNAKE_CASE__											=			os.path.join(UpperCAmelCase_ ,							UpperCAmelCase_	)
    SCREAMING_SNAKE_CASE__											=			{}
    SCREAMING_SNAKE_CASE__											=			4_2
    SCREAMING_SNAKE_CASE__											=			4_2
    SCREAMING_SNAKE_CASE__											=			4_2

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

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

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

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

    SCREAMING_SNAKE_CASE__											=			graph.prims_algorithm()

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

    return initial_total - optimal_total


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







'''simple docstring'''




a__					:			Optional[Any]          =     '''Alexander Joslin'''

import operator as op

from .stack import Stack




def 						__lowerCamelCase			(	UpperCAmelCase_							)   ->int:
	snake_case__	       =   {'*': op.mul, '/': op.truediv, '+': op.add, '-': op.sub}

	snake_case__	       =   Stack()
	snake_case__	       =   Stack()

	for i in equation:
		if i.isdigit():
			# RULE 1
			operand_stack.push(int(UpperCAmelCase_							)							)
		elif i in operators:
			# RULE 2
			operator_stack.push(UpperCAmelCase_							)
		elif i == ")":
			# RULE 4
			snake_case__	       =   operator_stack.peek()
			operator_stack.pop()
			snake_case__	       =   operand_stack.peek()
			operand_stack.pop()
			snake_case__	       =   operand_stack.peek()
			operand_stack.pop()

			snake_case__	       =   operators[opr](UpperCAmelCase_					,				UpperCAmelCase_							)
			operand_stack.push(UpperCAmelCase_							)

    # RULE 5
	return operand_stack.peek()


if __name__ == "__main__":
			a__					:			Any          =     '''(5 + ((4 * 2) * (2 + 3)))'''
			# answer = 45
			print(f"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")



