






'''simple docstring'''



import math
class UpperCAmelCase_					:




      """simple docstring"""




      def __init__( self			:		str     ,      UpperCAmelCase			:		int=0		)  ->  List[str]:  # a graph with Node 0,1,...,N-1


       '''simple docstring'''

       lowercase					:   str				  =n
       lowercase					:   Dict				  =[
           [math.inf for j in range(0     ,      UpperCAmelCase		)] for i in range(0     ,      UpperCAmelCase		)
       ]  # adjacency matrix for weight
       lowercase					:   Optional[Any]				  =[
           [math.inf for j in range(0     ,      UpperCAmelCase		)] for i in range(0     ,      UpperCAmelCase		)
       ]  # dp[i][j] stores minimum distance from i to j






      def 				A__      ( self			:		List[str]     ,      UpperCAmelCase			:		Tuple     ,      UpperCAmelCase			:		List[Any]     ,      UpperCAmelCase			:		Optional[Any]		)  ->  Optional[int]:


       '''simple docstring'''

       lowercase					:   List[Any]				  =w






      def 				A__      ( self			:		Union[str, Any]		)  ->  int:


       '''simple docstring'''

       for k in range(0     ,      self.n		):
        for i in range(0     ,      self.n		):
         for j in range(0     ,      self.n		):
          lowercase					:   List[Any]				  =min(self.dp[i][j]     ,      self.dp[i][k] + self.dp[k][j]		)






      def 				A__      ( self			:		Optional[Any]     ,      UpperCAmelCase			:		Union[str, Any]     ,      UpperCAmelCase			:		Union[str, Any]		)  ->  Any:


       '''simple docstring'''

       return self.dp[u][v]


if __name__ == "__main__":
      SCREAMING_SNAKE_CASE						=	Graph(5)
      graph.add_edge(0, 2, 9)
      graph.add_edge(0, 4, 10)
      graph.add_edge(1, 3, 5)
      graph.add_edge(2, 3, 7)
      graph.add_edge(3, 0, 10)
      graph.add_edge(3, 1, 2)
      graph.add_edge(3, 2, 1)
      graph.add_edge(3, 4, 6)
      graph.add_edge(4, 1, 3)
      graph.add_edge(4, 2, 4)
      graph.add_edge(4, 3, 9)
      graph.floyd_warshall()
      graph.show_min(1, 4)
      graph.show_min(0, 3)











'''simple docstring'''



SCREAMING_SNAKE_CASE						=	'Alexander Joslin'

import operator as op

from .stack import Stack


def 							lowercase_				(    __A :       str			)       ->      int:



 """simple docstring"""




 lowercase					:   int				  ={'''*''': op.mul, '''/''': op.truediv, '''+''': op.add, '''-''': op.sub}

 lowercase					:   Stack[int]				  =Stack()
 lowercase					:   Stack[str]				  =Stack()

 for i in equation:
  if i.isdigit():
   # RULE 1
   operand_stack.push(int(__A			)			)
  elif i in operators:
   # RULE 2
   operator_stack.push(__A			)
  elif i == ")":
   # RULE 4
   lowercase					:   Optional[Any]				  =operator_stack.peek()
   operator_stack.pop()
   lowercase					:   Optional[Any]				  =operand_stack.peek()
   operand_stack.pop()
   lowercase					:   Optional[Any]				  =operand_stack.peek()
   operand_stack.pop()

   lowercase					:   List[str]				  =operators[opr](__A					,      __A			)
   operand_stack.push(__A			)

    # RULE 5
 return operand_stack.peek()


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



