





from collections import defaultdict

from graphs.minimum_spanning_tree_prims import prisms_algorithm as mst






def 							_lowerCAmelCase (  )	->			Any:
     lowerCAmelCase_					:       Optional[int]    =		9, 14  # noqa: F841
     lowerCAmelCase_					:       List[Any]    =		[
         [0, 1, 4],
         [0, 7, 8],
         [1, 2, 8],
         [7, 8, 7],
         [7, 6, 1],
         [2, 8, 2],
         [8, 6, 6],
         [2, 3, 7],
         [2, 5, 4],
         [6, 5, 2],
         [3, 5, 14],
         [3, 4, 9],
         [5, 4, 10],
         [1, 7, 11],
     ]

     lowerCAmelCase_					:       Optional[Any]    =		defaultdict(_a			)
     for nodea, nodea, cost in edges:
          adjancency[nodea].append([nodea, cost]			)
          adjancency[nodea].append([nodea, cost]			)

     lowerCAmelCase_					:       Union[str, Any]    =		mst(_a			)

     lowerCAmelCase_					:       List[str]    =		[
         [7, 6, 1],
         [2, 8, 2],
         [6, 5, 2],
         [0, 1, 4],
         [2, 5, 4],
         [2, 3, 7],
         [0, 7, 8],
         [3, 4, 9],
     ]

     for answer in expected:
          lowerCAmelCase_					:       Union[str, Any]    =		tuple(answer[:2]			)
          lowerCAmelCase_					:       Union[str, Any]    =		tuple(edge[::-1]			)
          assert edge in result or reverse in result







UpperCAmelCase_					:   str 							=						"""Alexander Joslin"""

import operator as op

from .stack import Stack






def 							_lowerCAmelCase (  _a   :					str			)	->			int:
     lowerCAmelCase_					:       Any    =		{"""*""": op.mul, """/""": op.truediv, """+""": op.add, """-""": op.sub}

     lowerCAmelCase_					:       Stack[int]    =		Stack()
     lowerCAmelCase_					:       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
               lowerCAmelCase_					:       Optional[int]    =		operator_stack.peek()
               operator_stack.pop()
               lowerCAmelCase_					:       Union[str, Any]    =		operand_stack.peek()
               operand_stack.pop()
               lowerCAmelCase_					:       List[str]    =		operand_stack.peek()
               operand_stack.pop()

               lowerCAmelCase_					:       Dict    =		operators[opr](_a					,   _a			)
               operand_stack.push(_a			)

    # RULE 5
     return operand_stack.peek()


if __name__ == "__main__":
      UpperCAmelCase_					:   Dict 							=						"""(5 + ((4 * 2) * (2 + 3)))"""
      # answer = 45
      print(F"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")
