



def _A       (   __magic_name__  , __magic_name__	):

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

      return "".join(__magic_name__	)

   # matching characters
   lowercase__			       =  get_matched_characters(__magic_name__  , __magic_name__	)
   lowercase__			       =  get_matched_characters(__magic_name__  , __magic_name__	)
   lowercase__			       =  len(__magic_name__	)

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

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

   # common prefix up to 4 characters
   lowercase__			       =  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 _A       (   __magic_name__	):
   try:
      lowercase__			       =  float(__magic_name__	)
   except ValueError:
      raise ValueError("Please enter a valid number"	)
   lowercase__			       =  decimal - int(__magic_name__	)
   if fractional_part == 0:
      return int(__magic_name__	), 1
   else:
      lowercase__			       =  len(str(__magic_name__	).split("."	)[1]	)
      lowercase__			       =  int(decimal * (10**number_of_frac_digits)	)
      lowercase__			       =  10**number_of_frac_digits
      lowercase__       ,							lowercase__			       =  denominator, numerator
      while True:
         lowercase__			       =  dividend % divisor
         if remainder == 0:
            break
         lowercase__       ,							lowercase__			       =  divisor, remainder
      lowercase__       ,							lowercase__			       =  numerator / divisor, denominator / divisor
      return int(__magic_name__	), int(__magic_name__	)


if __name__ == "__main__":
  print(F"""{decimal_to_fraction(2) = }""")
  print(F"""{decimal_to_fraction(89.0) = }""")
  print(F"""{decimal_to_fraction("67") = }""")
  print(F"""{decimal_to_fraction("45.0") = }""")
  print(F"""{decimal_to_fraction(1.5) = }""")
  print(F"""{decimal_to_fraction("6.25") = }""")
  print(F"""{decimal_to_fraction("78td") = }""")






