




def 						lowerCAmelCase		(		_lowerCAmelCase							:   int						,							_lowerCAmelCase							:   Dict	):




 """simple docstring"""







 def get_matched_characters(_lowerCAmelCase							:   List[str]						,							_lowerCAmelCase							:   int	) -> 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(_lowerCAmelCase	)
    UpperCAmelCase__							 =						F'''{_stra[0:_stra.index(_lowerCAmelCase	)]} {_stra[_stra.index(_lowerCAmelCase	) + 1:]}'''

  return "".join(_lowerCAmelCase	)

 # matching characters
 UpperCAmelCase__							 =						get_matched_characters(_lowerCAmelCase						,							_lowerCAmelCase	)
 UpperCAmelCase__							 =						get_matched_characters(_lowerCAmelCase						,							_lowerCAmelCase	)
 UpperCAmelCase__							 =						len(_lowerCAmelCase	)

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

 if not match_count:
  UpperCAmelCase__							 =						0.0
 else:
  UpperCAmelCase__							 =						(
      1
      / 3
      * (
          match_count / len(_lowerCAmelCase	)
          + match_count / len(_lowerCAmelCase	)
          + (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"))











from __future__ import annotations



def 						lowerCAmelCase		(		_lowerCAmelCase							:   int = 4	):




 """simple docstring"""







 UpperCAmelCase__							 =						abs(_lowerCAmelCase	) or 4
 return [[1 + x + y * row_size for x in range(_lowerCAmelCase	)] for y in range(_lowerCAmelCase	)]



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 return reverse_row(transpose(_lowerCAmelCase	)	)
 # OR.. transpose(reverse_column(matrix))



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 return reverse_row(reverse_column(_lowerCAmelCase	)	)
 # OR.. reverse_column(reverse_row(matrix))



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 return reverse_column(transpose(_lowerCAmelCase	)	)
 # OR.. transpose(reverse_row(matrix))



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 UpperCAmelCase__							 =						[list(_lowerCAmelCase	) for x in zip(*_lowerCAmelCase	)]
 return matrix



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 UpperCAmelCase__							 =						matrix[::-1]
 return matrix



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 UpperCAmelCase__							 =						[x[::-1] for x in matrix]
 return matrix



def 						lowerCAmelCase		(		_lowerCAmelCase							:   list[list[int]]	):




 """simple docstring"""







 for i in matrix:
  print(*_lowerCAmelCase	)


if __name__ == "__main__":
  _lowerCAmelCase						:   Optional[int]		=   make_matrix()
  print("\norigin:\n")
  print_matrix(matrix)
  print("\nrotate 90 counterclockwise:\n")
  print_matrix(rotate_aa(matrix))

  _lowerCAmelCase						:   Union[str, Any]		=   make_matrix()
  print("\norigin:\n")
  print_matrix(matrix)
  print("\nrotate 180:\n")
  print_matrix(rotate_aaa(matrix))

  _lowerCAmelCase						:   Optional[int]		=   make_matrix()
  print("\norigin:\n")
  print_matrix(matrix)
  print("\nrotate 270 counterclockwise:\n")
  print_matrix(rotate_aaa(matrix))





