


"""simple docstring"""





from .balanced_parentheses import balanced_parentheses
from .stack import Stack





def     lowercase__	(  lowerCamelCase     :  str				)					->     int:
  return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(lowerCamelCase				,	-1				)





def     lowercase__	(  lowerCamelCase     :  str				)					->     str:
  if not balanced_parentheses(lowerCamelCase				):
    raise ValueError("Mismatched parentheses"				)
  lowerCAmelCase__    :    Stack[str]								=					Stack()
  lowerCAmelCase__    :    Optional[Any]								=					[]
  for char in expression_str:
    if char.isalpha() or char.isdigit():
      postfix.append(lowerCamelCase				)
    elif char == "(":
      stack.push(lowerCamelCase				)
    elif char == ")":
      while not stack.is_empty() and stack.peek() != "(":
        postfix.append(stack.pop()				)
      stack.pop()
    else:
      while not stack.is_empty() and precedence(lowerCamelCase				) <= precedence(stack.peek()				):
        postfix.append(stack.pop()				)
      stack.push(lowerCamelCase				)
  while not stack.is_empty():
    postfix.append(stack.pop()				)
  return " ".join(lowerCamelCase				)


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

   testmod()
   __UpperCAmelCase    				=      "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"""





def     lowercase__	(  lowerCamelCase     :  int				)					->     int:
  if not isinstance(lowerCamelCase				,	lowerCamelCase				):
    raise TypeError("recursive_lucas_number accepts only integer arguments."				)
  if n_th_number == 0:
    return 2
  if n_th_number == 1:
    return 1

  return recursive_lucas_number(n_th_number - 1				) + recursive_lucas_number(
      n_th_number - 2				)





def     lowercase__	(  lowerCamelCase     :  int				)					->     int:
  if not isinstance(lowerCamelCase				,	lowerCamelCase				):
    raise TypeError("dynamic_lucas_number accepts only integer arguments."				)
  lowerCAmelCase__				,		lowerCAmelCase__    :    str								=					2, 1
  for _ in range(lowerCamelCase				):
    lowerCAmelCase__				,		lowerCAmelCase__    :    str								=					b, a + b
  return a


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

   testmod()
   __UpperCAmelCase    				=      int(input("Enter the number of terms in lucas series:\n").strip())
   print("Using recursive function to calculate lucas series:")
   print(" ".join(str(recursive_lucas_number(i)) for i in range(n)))
   print("\nUsing dynamic function to calculate lucas series:")
   print(" ".join(str(dynamic_lucas_number(i)) for i in range(n)))
