
'''simple docstring'''
from .balanced_parentheses import balanced_parentheses
from .stack import Stack

def 				UpperCamelCase_       (		__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






    return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(_UpperCamelCase,						-1    )

def 				UpperCamelCase_       (		__SCREAMING_SNAKE_CASE    ):
    """simple docstring"""






    if not balanced_parentheses(_UpperCamelCase    ):
        raise ValueError("Mismatched parentheses"    )
    snake_case_	:      Stack[str]            =  Stack()
    snake_case_	:      Union[str, Any]            =  []
    for char in expression_str:
        if char.isalpha() or char.isdigit():
            postfix.append(_UpperCamelCase    )
        elif char == "(":
            stack.push(_UpperCamelCase    )
        elif char == ")":
            while not stack.is_empty() and stack.peek() != "(":
                postfix.append(stack.pop()    )
            stack.pop()
        else:
            while not stack.is_empty() and precedence(_UpperCamelCase    ) <= precedence(stack.peek()    ):
                postfix.append(stack.pop()    )
            stack.push(_UpperCamelCase    )
    while not stack.is_empty():
        postfix.append(stack.pop()    )
    return " ".join(_UpperCamelCase    )


if __name__ == "__main__":
  from doctest import testmod

  testmod()
  a_     =  "a+b*(c^d-e)^(f+g*h)-i"

  print("Infix to Postfix Notation demonstration:\n")
  print("Infix notation: " + expression)
  print("Postfix notation: " + infix_to_postfix(expression))






'''simple docstring'''
from __future__ import annotations

from typing import Any






class 				UpperCAmelCase_			:





 def __init__(      self	,    lowercase_	,    lowercase_):  # noqa: A002
     snake_case_	:      List[str]            =  item
     snake_case_	:      Dict            =  next






class 				UpperCAmelCase_			:





 def __init__(      self):
     snake_case_	:      Node | None            =  None
     snake_case_	:      List[str]            =  0





 def     snake_case__						(      self	,    lowercase_):
     snake_case_	:      List[Any]            =  Node(lowercase_	,    self.head)
     self.size += 1





 def     snake_case__						(      self):
     # Switched 'self.is_empty()' to 'self.head is None'
     # because mypy was considering the possibility that 'self.head'
     # can be None in below else part and giving error
     if self.head is None:
         return None
     else:
         snake_case_	:      List[Any]            =  self.head.item
         snake_case_	:      Any            =  self.head.next
         self.size -= 1
         return item





 def     snake_case__						(      self):
     return self.head is None





 def __str__(      self):
     if self.is_empty():
         return ""
     else:
         snake_case_	:      Dict            =  self.head
         snake_case_	:      Optional[Any]            =  ""
         snake_case_	:      list[str]            =  []
         while iterate:
             item_list.append(str(iterate.item))
             snake_case_	:      List[str]            =  iterate.next

         snake_case_	:      Optional[Any]            =  " --> ".join(lowercase_)

         return item_str





 def __len__(      self):
     return self.size




