




'''simple docstring'''







def 					lowerCamelCase__							(			__lowercase    ,      __lowercase							):
     if len(str(__lowercase							)							) == 1 or len(str(__lowercase							)							) == 1:
          return a * b

     snake_case :			Optional[Any]					   = max(len(str(__lowercase							)							)    ,      len(str(__lowercase							)							)							)
     snake_case :			Any					   = ma // 2

     snake_case :			List[str]					   = divmod(__lowercase    ,      10**ma							)
     snake_case :			List[Any]					   = divmod(__lowercase    ,      10**ma							)

     snake_case :			int					   = karatsuba(__lowercase    ,      __lowercase							)
     snake_case :			List[Any]					   = karatsuba((aa + aa)    ,      (ba + ba)							)
     snake_case :			Dict					   = karatsuba(__lowercase    ,      __lowercase							)

     return (z * 10 ** (2 * ma)) + ((y - z - x) * 10 ** (ma)) + (x)



def 					lowerCamelCase__							(			):
     print(karatsuba(15_463    ,      23_489							)							)


if __name__ == "__main__":
      main()









'''simple docstring'''







from .balanced_parentheses import balanced_parentheses
from .stack import Stack



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



def 					lowerCamelCase__							(			__lowercase							):
     if not balanced_parentheses(__lowercase							):
          raise ValueError("""Mismatched parentheses"""							)
     snake_case :			Stack[str]					   = Stack()
     snake_case :			List[Any]					   = []
     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()
      lowercase			:      Tuple			=					"""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))



