code: 
  
  
  """simple docstring"""
  
  
  
  
  
  
  
  from .balanced_parentheses import balanced_parentheses
  from .stack import Stack
  def _A		(		lowercase	):
  
  
  
  
  
  
  
      """simple docstring"""
      return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(lowercase ,					-1	)
  def _A		(		lowercase	):
  
  
  
  
  
  
  
      """simple docstring"""
      if not balanced_parentheses(lowercase	):
          raise ValueError('''Mismatched parentheses'''	)
      a					=Stack()
      a					=[]
      for char in expression_str:
          if char.isalpha() or char.isdigit():
              postfix.append(lowercase	)
          elif char == "(":
              stack.push(lowercase	)
          elif char == ")":
              while not stack.is_empty() and stack.peek() != "(":
                  postfix.append(stack.pop()	)
              stack.pop()
          else:
              while not stack.is_empty() and precedence(lowercase	) <= precedence(stack.peek()	):
                  postfix.append(stack.pop()	)
              stack.push(lowercase	)
      while not stack.is_empty():
          postfix.append(stack.pop()	)
      return " ".join(lowercase	)
  
  
  if __name__ == "__main__":
         from doctest import testmod
  
         testmod()
         lowerCamelCase_     :     Optional[int]    		=						"""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))
style_context: 
  
  
  """simple docstring"""
  
  
  
  
  
  
  
  from math import gcd
  def _A		(		lowercase = 1_20_00	):
  
  
  
  
  
  
  
      """simple docstring"""
      a					=0
      for d in range(max_d + 1	):
          for n in range(d // 3 + 1 ,					(d + 1) // 2	):
              if gcd(lowercase ,					lowercase	) == 1:
                  fractions_number += 1
      return fractions_number
  
  
  if __name__ == "__main__":
         print(F'{solution() = }')