


def 				lowerCamelCase__	(      a	:   str	,  a	:   str				)    ->	float:





			"""simple docstring"""

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

						return "".join(a				)

			# matching characters
			a__ :Dict						  =    get_matched_characters(a	,  a				)
			a__ :Tuple						  =    get_matched_characters(a	,  a				)
			a__ :List[str]						  =    len(a				)

			# transposition
			a__ :Union[str, Any]						  =    (
			    len([(ca, ca) for ca, ca in zip(a	,  a				) if ca != ca]				) // 2
			)

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

			# common prefix up to 4 characters
			a__ :List[str]						  =    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'''))






def 				lowerCamelCase__	(      a	:   int = 1_000_000				)    ->	int:





			"""simple docstring"""
			a__ :int						  =    [i - 1 for i in range(limit + 1				)]

			for i in range(2	,  limit + 1				):
						if phi[i] == i - 1:
									for j in range(2 * i	,  limit + 1	,  a				):
												phi[j] -= phi[j] // i

			return sum(phi[2 : limit + 1]				)


if __name__ == "__main__":
		print(solution())


