code: 
  """simple docstring"""
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	if a < b:
  		return gcd(UpperCamelCase__				,     UpperCamelCase__      )
  	if a % b == 0:
  		return b
  	return gcd(UpperCamelCase__				,     a % b      )
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__				,     UpperCamelCase__				,     UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	if y == 0:
  		return 1
  	_UpperCAmelCase =						power(UpperCamelCase__				,     y // 2				,     UpperCamelCase__      ) % mod
  	_UpperCAmelCase =						(temp * temp) % mod
  	if y % 2 == 1:
  		_UpperCAmelCase =						(temp * x) % mod
  	return temp
  
  
  
  
  def     __lowerCamelCase  (		UpperCamelCase__      ):
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  	_UpperCAmelCase =						2
  	while b < n:
  		if gcd(UpperCamelCase__				,     UpperCamelCase__      ) == 1 and power(UpperCamelCase__				,     n - 1				,     UpperCamelCase__      ) != 1:
  			return False
  		b += 1
  	return True
  
  
  if __name__ == "__main__":
  			__magic_name__		       =				int(input('''Enter number: ''').strip())
  			if is_carmichael_number(number):
  						print(f'''{number} is a Carmichael Number.''')
  			else:
  						print(f'''{number} is not a Carmichael Number.''')
  
  
  
  
  
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)))
  
  
  
  
  