


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


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

						testmod()
						__UpperCamelCase      						=    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 __future__ import annotations
def     UpperCamelCase_(			_A				:list					)->						int | float:
			UpperCamelCase__   =    sorted(_A					)
			UpperCamelCase__   =    len(_A					)
			UpperCamelCase__   =    length >> 1
			return (
			    (sorted_list[mid_index] + sorted_list[mid_index - 1]) / 2
			    if length % 2 == 0
			    else sorted_list[mid_index]
			)
def     UpperCamelCase_(			)->						List[Any]:
			import doctest

			doctest.testmod()


if __name__ == "__main__":
						main()


