

'''simple docstring'''

from __future__ import annotations

import math




def 				UpperCamelCase(					UpperCAmelCase_  ,	UpperCAmelCase_     ):
 UpperCAmelCase	:     Union[str, Any]						 =			u
 for i in range(1  ,	lowerCamelCase__     ):
  UpperCAmelCase	:     int						 =			temp * (u - i)
 return temp




def 				UpperCamelCase(					):
 UpperCAmelCase	:     Optional[Any]						 =			int(input('enter the numbers of values: '     )     )
 UpperCAmelCase	:     list[list[float]]						 =			[]
 for _ in range(lowerCamelCase__     ):
  y.append([]     )
 for i in range(lowerCamelCase__     ):
  for j in range(lowerCamelCase__     ):
   y[i].append(lowerCamelCase__     )
   UpperCAmelCase	:     Optional[int]						 =			0

 print('enter the values of parameters in a list: '     )
 UpperCAmelCase	:     Union[str, Any]						 =			list(map(lowerCamelCase__  ,	input().split()     )     )

 print('enter the values of corresponding parameters: '     )
 for i in range(lowerCamelCase__     ):
  UpperCAmelCase	:     List[Any]						 =			float(input()     )

 UpperCAmelCase	:     List[Any]						 =			int(input('enter the value to interpolate: '     )     )
 UpperCAmelCase	:     List[str]						 =			(value - x[0]) / (x[1] - x[0])

 # for calculating forward difference table

 for i in range(1  ,	lowerCamelCase__     ):
  for j in range(n - i     ):
   UpperCAmelCase	:     Union[str, Any]						 =			y[j + 1][i - 1] - y[j][i - 1]

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

 print(F"""the value at {value} is {summ}"""     )


if __name__ == "__main__":
 main()







'''simple docstring'''

from typing import TYPE_CHECKING

from ....utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowercase__         =      {"configuration_van": ["VAN_PRETRAINED_CONFIG_ARCHIVE_MAP", "VanConfig"]}


try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase__         =      [
     "VAN_PRETRAINED_MODEL_ARCHIVE_LIST",
     "VanForImageClassification",
     "VanModel",
     "VanPreTrainedModel",
 ]

if TYPE_CHECKING:
 from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_van import (
      VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
      VanForImageClassification,
      VanModel,
      VanPreTrainedModel,
  )

else:
 import sys

 lowercase__         =      _LazyModule(__name__, globals()["__file__"], _import_structure)




