





from __future__ import annotations

import math






def 							_lowerCAmelCase (  _a   :					str					,   _a   :					Any			)	->			float:
     lowerCAmelCase_					:       Any    =		u
     for i in range(1					,   __UpperCAmelCase			):
          lowerCAmelCase_					:       List[Any]    =		temp * (u - i)
     return temp






def 							_lowerCAmelCase (  )	->			None:
     lowerCAmelCase_					:       Tuple    =		int(input("""enter the numbers of values: """			)			)
     lowerCAmelCase_					:       Optional[int]    =		[]
     for _ in range(__UpperCAmelCase			):
          y.append([]			)
     for i in range(__UpperCAmelCase			):
          for j in range(__UpperCAmelCase			):
               y[i].append(__UpperCAmelCase			)
               lowerCAmelCase_					:       int    =		0

     print("""enter the values of parameters in a list: """			)
     lowerCAmelCase_					:       int    =		list(map(__UpperCAmelCase					,   input().split()			)			)

     print("""enter the values of corresponding parameters: """			)
     for i in range(__UpperCAmelCase			):
          lowerCAmelCase_					:       int    =		float(input()			)

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

     # for calculating forward difference table

     for i in range(1					,   __UpperCAmelCase			):
          for j in range(n - i			):
               lowerCAmelCase_					:       Optional[int]    =		y[j + 1][i - 1] - y[j][i - 1]

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

     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,
)


UpperCAmelCase_					:   int 							=						{"""configuration_plbart""": ["""PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP""", """PLBartConfig"""]}

try:
      if not is_sentencepiece_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_					:   Optional[int] 							=						["""PLBartTokenizer"""]

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_					:   Union[str, Any] 							=						[
          """PLBART_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """PLBartForCausalLM""",
          """PLBartForConditionalGeneration""",
          """PLBartForSequenceClassification""",
          """PLBartModel""",
          """PLBartPreTrainedModel""",
      ]


if TYPE_CHECKING:
      from .configuration_plbart import PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP, PLBartConfig

      try:
            if not is_sentencepiece_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .tokenization_plbart import PLBartTokenizer

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_plbart import (
                PLBART_PRETRAINED_MODEL_ARCHIVE_LIST,
                PLBartForCausalLM,
                PLBartForConditionalGeneration,
                PLBartForSequenceClassification,
                PLBartModel,
                PLBartPreTrainedModel,
            )


else:
      import sys

      UpperCAmelCase_					:   List[str] 							=						_LazyModule(__name__, globals()["""__file__"""], _import_structure)
