
"""simple docstring"""


def       _snake_case				(		snake_case__   :     list	,      snake_case__   :     list     ):
	_validate_point(snake_case__     )
	_validate_point(snake_case__     )
	if len(snake_case__     ) != len(snake_case__     ):
		raise ValueError('Both points must be in the same n-dimensional space'     )

	return float(sum(abs(a - b     ) for a, b in zip(snake_case__	,      snake_case__     )     )     )






def       _snake_case				(		snake_case__   :     list[float]     ):
	if point:
		if isinstance(snake_case__	,      snake_case__     ):
			for item in point:
				if not isinstance(snake_case__	,      (int, float)     ):
					A						   =   (
					    'Expected a list of numbers as input, found '
					    F'{type(snake_case__     ).__name__}'
					)
					raise TypeError(snake_case__     )
		else:
			A						   =   F'Expected a list of numbers as input, found {type(snake_case__     ).__name__}'
			raise TypeError(snake_case__     )
	else:
		raise ValueError('Missing an input'     )






def       _snake_case				(		snake_case__   :     list	,      snake_case__   :     list     ):
	_validate_point(snake_case__     )
	_validate_point(snake_case__     )
	if len(snake_case__     ) != len(snake_case__     ):
		raise ValueError('Both points must be in the same n-dimensional space'     )

	return float(sum(abs(x - y     ) for x, y in zip(snake_case__	,      snake_case__     )     )     )


if __name__ == "__main__":
		import doctest

		doctest.testmod()

"""simple docstring"""


from math import pi, sqrt






def       _snake_case				(		snake_case__   :     float     ):
	if num <= 0:
		raise ValueError('math domain error'     )
	if num > 171.5:
		raise OverflowError('math range error'     )
	elif num - int(snake_case__     ) not in (0, 0.5):
		raise NotImplementedError('num must be an integer or a half-integer'     )
	elif num == 0.5:
		return sqrt(snake_case__     )
	else:
		return 1.0 if num == 1 else (num - 1) * gamma(num - 1     )






def       _snake_case				(		):
	assert gamma(0.5     ) == sqrt(snake_case__     )
	assert gamma(1     ) == 1.0
	assert gamma(2     ) == 1.0


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

		testmod()
		_lowercase							   =				1.0
		while num:
				_lowercase							   =				float(input('''Gamma of: '''))
				print(F"""gamma({num}) = {gamma(num)}""")
				print('''\nEnter 0 to exit...''')