
'''simple docstring'''





def   A			(							A_				:       int							):
						if not isinstance(A_     ,				A_							):
												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   A			(							A_				:       int							):
						if not isinstance(A_     ,				A_							):
												raise TypeError('''dynamic_lucas_number accepts only integer arguments.'''							)
						snake_case,       snake_case							:  Union[str, Any]			=     2, 1
						for _ in range(A_							):
												snake_case,       snake_case							:  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)))





from .balanced_parentheses import balanced_parentheses
from .stack import Stack

def 			__SCREAMING_SNAKE_CASE		(		UpperCamelCase		:      str	)     ->	int:



	"""simple docstring"""






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

def 			__SCREAMING_SNAKE_CASE		(		UpperCamelCase		:      str	)     ->	str:



	"""simple docstring"""






	if not balanced_parentheses(UpperCamelCase	):
		raise ValueError("""Mismatched parentheses"""	)
	a_     			=   Stack()
	a_     			=   []
	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))