code: 
  """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))
  
  
  
  
  
style_context: 
  """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)))
  
  
  
  
  