




def    A						(__A   :    str   ,				__A   :    str       )   ->      float:







     """simple docstring"""


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

          return "".join(__A       )

     # matching characters
     UpperCAmelCase_          =							get_matched_characters(__A   ,				__A       )
     UpperCAmelCase_          =							get_matched_characters(__A   ,				__A       )
     UpperCAmelCase_          =							len(__A       )

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

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

     # common prefix up to 4 characters
     UpperCAmelCase_          =							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 		_lowercase (     lowercase__   ,	lowercase__						):
      if a < 0 or b < 0:
            raise ValueError('''the value of both inputs must be positive'''						)
      __lowerCAmelCase					:						int					=					str(bin(lowercase__						)						)[2:]  # remove the leading "0b"
      __lowerCAmelCase					:						Any					=					str(bin(lowercase__						)						)[2:]
      __lowerCAmelCase					:						List[str]					=					max(len(lowercase__						)   ,	len(lowercase__						)						)
      return "0b" + "".join(
          str(int('''1''' in (char_a, char_b)						)						)
          for char_a, char_b in zip(a_binary.zfill(lowercase__						)   ,	b_binary.zfill(lowercase__						)						)						)


if __name__ == "__main__":
 import doctest

 doctest.testmod()


