code: 
  """simple docstring"""
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	if not isinstance(UpperCamelCase__				,     UpperCamelCase__      ):
  		_UpperCAmelCase =						(
  		    "operation can not be conducted on a object of type "
  		    f"{type(UpperCamelCase__      ).__name__}"
  		)
  		raise TypeError(UpperCamelCase__      )
  	_UpperCAmelCase =						""
  	for _ in range(0				,     32      ):
  		bit_string += str(number % 2      )
  		_UpperCAmelCase =						number >> 1
  	return bit_string
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	if number < 0:
  		raise ValueError("the value of input must be positive"      )
  	elif isinstance(UpperCamelCase__				,     UpperCamelCase__      ):
  		raise TypeError("Input value must be a 'int' type"      )
  	elif isinstance(UpperCamelCase__				,     UpperCamelCase__      ):
  		raise TypeError("'<' not supported between instances of 'str' and 'int'"      )
  	_UpperCAmelCase =						0
  	# iterator over [1 to 32],since we are dealing with 32 bit integer
  	for _ in range(1				,     33      ):
  		# left shift the bits by unity
  		_UpperCAmelCase =						result << 1
  		# get the end bit
  		_UpperCAmelCase =						number % 2
  		# right shift the bits by unity
  		_UpperCAmelCase =						number >> 1
  		# add that bit to our ans
  		_UpperCAmelCase =						result | end_bit
  	return get_reverse_bit_string(UpperCamelCase__      )
  
  
  if __name__ == "__main__":
  			import doctest
  
  			doctest.testmod()
  
  
  
  
  
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)))
  
  
  
  
  