




'''simple docstring'''


def 						snake_case_       (UpperCamelCase			:    str					,		UpperCamelCase			:    list[str] ):





							'''simple docstring'''


							_a      	=							''''''
							for word_or_phrase in separated:
														if not isinstance(UpperCamelCase					,		UpperCamelCase ):
																					raise Exception('''join() accepts only strings to be joined''' )
														joined += word_or_phrase + separator
							return joined.strip(UpperCamelCase )


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

				testmod()







'''simple docstring'''


from math import pi, sqrt
def 						snake_case_       (UpperCamelCase			:    float ):





							'''simple docstring'''


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





							'''simple docstring'''


							assert gamma(0.5 ) == sqrt(UpperCamelCase )
							assert gamma(1 ) == 1.0
							assert gamma(2 ) == 1.0


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

				testmod()
				_snake_case : Optional[Any]  				=						1.0
				while num:
								_snake_case : Dict  				=						float(input('Gamma of: '))
								print(F'''gamma({num}) = {gamma(num)}''')
								print('\nEnter 0 to exit...')

