





'''simple docstring'''




from __future__ import annotations

import math






def 			_lowerCAmelCase     (    __snake_case    :					float					,				__snake_case    :					int     )	->	float:
     __A		:					int						=			u
     for i in range(1					,				__snake_case     ):
          __A		:					Optional[int]						=			temp * (u - i)
     return temp






def 			_lowerCAmelCase     (    )	->	None:
     __A		:					Dict						=			int(input('enter the numbers of values: '     )     )
     __A		:					list[list[float]]						=			[]
     for _ in range(__snake_case     ):
          y.append([]     )
     for i in range(__snake_case     ):
          for j in range(__snake_case     ):
               y[i].append(__snake_case     )
               __A		:					int						=			0

     print('enter the values of parameters in a list: '     )
     __A		:					List[str]						=			list(map(__snake_case					,				input().split()     )     )

     print('enter the values of corresponding parameters: '     )
     for i in range(__snake_case     ):
          __A		:					Tuple						=			float(input()     )

     __A		:					Tuple						=			int(input('enter the value to interpolate: '     )     )
     __A		:					Dict						=			(value - x[0]) / (x[1] - x[0])

     # for calculating forward difference table

     for i in range(1					,				__snake_case     ):
          for j in range(n - i     ):
               __A		:					Dict						=			y[j + 1][i - 1] - y[j][i - 1]

     __A		:					List[Any]						=			y[0][0]
     for i in range(1					,				__snake_case     ):
          summ += (ucal(__snake_case					,				__snake_case     ) * y[0][i]) / math.factorial(__snake_case     )

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


if __name__ == "__main__":
  main()





from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
)


__a							     =					{}

try:
     if not is_sentencepiece_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     __a							     =					['NllbTokenizer']

try:
     if not is_tokenizers_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     __a							     =					['NllbTokenizerFast']


if TYPE_CHECKING:
     try:
          if not is_sentencepiece_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_nllb import NllbTokenizer

     try:
          if not is_tokenizers_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_nllb_fast import NllbTokenizerFast

else:
     import sys

     __a							     =					_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)