


'''simple docstring'''



def 			_UpperCamelCase					(						UpperCamelCase__ = 6_0_0_8_5_1_4_7_5_1_4_3    ):

			try:
						UpperCAmelCase__     :    List[Any]         =   int(__lowerCAmelCase    )
			except (TypeError, ValueError):
						raise TypeError("""Parameter n must be int or castable to int."""    )
			if n <= 0:
						raise ValueError("""Parameter n must be greater than or equal to one."""    )
			UpperCAmelCase__     :    str         =   1
			UpperCAmelCase__     :    Any         =   2
			while i * i <= n:
						while n % i == 0:
									UpperCAmelCase__     :    Any         =   i
									n //= i
						i += 1
			if n > 1:
						UpperCAmelCase__     :    List[str]         =   n
			return int(__lowerCAmelCase    )


if __name__ == "__main__":
		print(f"""{solution() = }""")



def 							__lowercase   ( __lowerCAmelCase							:				str					,    __lowerCAmelCase							:				str   ):

							def get_matched_characters(__lowerCAmelCase							:				str					,    __lowerCAmelCase							:				str   ) -> str:
														a__             =     []
														a__             =     min(len(_stra   )					,    len(_stra   )   ) // 2
														for i, l in enumerate(_stra   ):
																					a__             =     int(max(0					,    i - limit   )   )
																					a__             =     int(min(i + limit + 1					,    len(_stra   )   )   )
																					if l in _stra[left:right]:
																												matched.append(__lowerCAmelCase   )
																												a__             =     F'{_stra[0:_stra.index(__lowerCAmelCase   )]} {_stra[_stra.index(__lowerCAmelCase   ) + 1:]}'

														return "".join(__lowerCAmelCase   )

							# matching characters
							a__             =     get_matched_characters(__lowerCAmelCase					,    __lowerCAmelCase   )
							a__             =     get_matched_characters(__lowerCAmelCase					,    __lowerCAmelCase   )
							a__             =     len(__lowerCAmelCase   )

							# transposition
							a__             =     (
							    len([(ca, ca) for ca, ca in zip(__lowerCAmelCase					,    __lowerCAmelCase   ) if ca != ca]   ) // 2
							)

							if not match_count:
														a__             =     0.0
							else:
														a__             =     (
														    1
														    / 3
														    * (
														        match_count / len(__lowerCAmelCase   )
														        + match_count / len(__lowerCAmelCase   )
														        + (match_count - transpositions) / match_count
														    )
														)

							# common prefix up to 4 characters
							a__             =     0
							for ca, ca in zip(stra[:4]					,    stra[:4]   ):
														if ca == ca:
																					prefix_len += 1
														else:
																					break

							return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						print(jaro_winkler('''hello''', '''world'''))




