

def        UpperCAmelCase_     (		_A   ,	_A       ):





     '''simple docstring'''




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

          return "".join(_A       )

     # matching characters
     SCREAMING_SNAKE_CASE__					=					get_matched_characters(_A   ,	_A       )
     SCREAMING_SNAKE_CASE__					=					get_matched_characters(_A   ,	_A       )
     SCREAMING_SNAKE_CASE__					=					len(_A       )

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

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

     # common prefix up to 4 characters
     SCREAMING_SNAKE_CASE__					=					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'''))





import doctest
from collections import deque

import numpy as np






class  UpperCAmelCase__	:






  """simple docstring"""


  def __init__(							self		:	Optional[Any]      )	->							None:
       SCREAMING_SNAKE_CASE__					=					[2, 1, 2, -1]
       SCREAMING_SNAKE_CASE__					=					[1, 2, 3, 4]







  def    lowercase_	(							self		:	List[str]      )	->							list[float]:
       SCREAMING_SNAKE_CASE__					=					len(self.first_signal      )
       SCREAMING_SNAKE_CASE__					=					len(self.second_signal      )

       SCREAMING_SNAKE_CASE__					=					max(__lowerCamelCase			,     __lowerCamelCase      )

       # create a zero matrix of max_length x max_length
       SCREAMING_SNAKE_CASE__					=					[[0] * max_length for i in range(__lowerCamelCase      )]

       # fills the smaller signal with zeros to make both signals of same length
       if length_first_signal < length_second_signal:
            self.first_signal += [0] * (max_length - length_first_signal)
       elif length_first_signal > length_second_signal:
            self.second_signal += [0] * (max_length - length_second_signal)
       for i in range(__lowerCamelCase      ):
            SCREAMING_SNAKE_CASE__					=					deque(self.second_signal      )
            rotated_signal.rotate(__lowerCamelCase      )
            for j, item in enumerate(__lowerCamelCase      ):
                 matrix[i][j] += item

        # multiply the matrix with the first signal
       SCREAMING_SNAKE_CASE__					=					np.matmul(np.transpose(__lowerCamelCase      )			,     np.transpose(self.first_signal      )      )

       # rounding-off to two decimal places
       return [round(__lowerCamelCase			,     2      ) for i in final_signal]


if __name__ == "__main__":
       doctest.testmod()


