
"""simple docstring"""
from .balanced_parentheses import balanced_parentheses
from .stack import Stack




def     __lowerCamelCase  (		UpperCamelCase__      ):


	"""simple docstring"""






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




def     __lowerCamelCase  (		UpperCamelCase__      ):


	"""simple docstring"""






	if not balanced_parentheses(UpperCamelCase__      ):
		raise ValueError("Mismatched parentheses"      )
	_UpperCAmelCase =						Stack()
	_UpperCAmelCase =						[]
	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()
			__magic_name__		       =				'''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     __lowerCamelCase  (		UpperCamelCase__      ):


	"""simple docstring"""






	if not isinstance(UpperCamelCase__				,     UpperCamelCase__      ):
		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  (		UpperCamelCase__      ):


	"""simple docstring"""






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


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

			testmod()
			__magic_name__		       =				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)))




