
from __future__ import annotations

import math

def a__    (       A_,     A_					):






  '''simple docstring'''





  __magic_name__				     =       u
  for i in range(1,     A_					):
    __magic_name__				     =       temp * (u - i)
  return temp

def a__    (       ):






  '''simple docstring'''





  __magic_name__				     =       int(input("""enter the numbers of values: """					)					)
  __magic_name__				     =       []
  for _ in range(A_					):
    y.append([]					)
  for i in range(A_					):
    for j in range(A_					):
      y[i].append(A_					)
      __magic_name__				     =       0

  print("""enter the values of parameters in a list: """					)
  __magic_name__				     =       list(map(A_,     input().split()					)					)

  print("""enter the values of corresponding parameters: """					)
  for i in range(A_					):
    __magic_name__				     =       float(input()					)

  __magic_name__				     =       int(input("""enter the value to interpolate: """					)					)
  __magic_name__				     =       (value - x[0]) / (x[1] - x[0])

  # for calculating forward difference table

  for i in range(1,     A_					):
    for j in range(n - i					):
      __magic_name__				     =       y[j + 1][i - 1] - y[j][i - 1]

  __magic_name__				     =       y[0][0]
  for i in range(1,     A_					):
    summ += (ucal(A_,     A_					) * y[0][i]) / math.factorial(A_					)

  print(f'''the value at {value} is {summ}'''					)


if __name__ == "__main__":
    main()


'''simple docstring'''




def 	UpperCamelCase_							(					_UpperCAmelCase  :      str			,	_UpperCAmelCase  :      str    )    ->    float:


       """simple docstring"""







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

              return "".join(_UpperCAmelCase    )

       # matching characters
       _UpperCAmelCase     :  Union[str, Any]							      =    get_matched_characters(_UpperCAmelCase			,	_UpperCAmelCase    )
       _UpperCAmelCase     :  Tuple							      =    get_matched_characters(_UpperCAmelCase			,	_UpperCAmelCase    )
       _UpperCAmelCase     :  Tuple							      =    len(_UpperCAmelCase    )

       # transposition
       _UpperCAmelCase     :  Optional[Any]							      =    (
           len([(ca, ca) for ca, ca in zip(_UpperCAmelCase			,	_UpperCAmelCase    ) if ca != ca]    ) // 2
       )

       if not match_count:
              _UpperCAmelCase     :  Dict							      =    0.0
       else:
              _UpperCAmelCase     :  Optional[int]							      =    (
                  1
                  / 3
                  * (
                      match_count / len(_UpperCAmelCase    )
                      + match_count / len(_UpperCAmelCase    )
                      + (match_count - transpositions) / match_count
                  )
              )

       # common prefix up to 4 characters
       _UpperCAmelCase     :  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"""))

