

"""simple docstring"""




def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							int )     -> int:




				'''simple docstring'''





				if not isinstance(SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_ ):
								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    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							int )     -> int:




				'''simple docstring'''





				if not isinstance(SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_ ):
								raise TypeError("dynamic_lucas_number accepts only integer arguments." )
				A__      ,			A__            =     2, 1
				for _ in range(SCREAMING_SNAKE_CASE_ ):
								A__      ,			A__            =     b, a + b
				return a


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

	testmod()
	lowerCAmelCase__						=	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    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							str )     -> int:




				'''simple docstring'''





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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							str )     -> str:




				'''simple docstring'''





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


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

	testmod()
	lowerCAmelCase__						=	"""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))

