






"""simple docstring"""


from __future__ import annotations

import math



def 					lowerCAmelCase				(    __UpperCamelCase		,       __UpperCamelCase ):




  """simple docstring"""







  __A									= u
  for i in range(1		,       __UpperCamelCase ):
    __A									= temp * (u - i)
  return temp



def 					lowerCAmelCase				(    ):




  """simple docstring"""







  __A									= int(input('''enter the numbers of values: ''' ) )
  __A									= []
  for _ in range(__UpperCamelCase ):
    y.append([] )
  for i in range(__UpperCamelCase ):
    for j in range(__UpperCamelCase ):
      y[i].append(__UpperCamelCase )
      __A									= 0

  print('''enter the values of parameters in a list: ''' )
  __A									= list(map(__UpperCamelCase		,       input().split() ) )

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

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

  # for calculating forward difference table

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

  __A									= 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()












"""simple docstring"""


import os
import sys
from contextlib import contextmanager


# Windows only
if os.name == "nt":
       import ctypes
       import msvcrt  # noqa


       class 					snake_case		(							ctypes.Structure						):


          '''simple docstring'''

          A_						:	List[str]						 = [("size", ctypes.c_int), ("visible", ctypes.c_byte)]



def 					lowerCAmelCase				(    ):




  """simple docstring"""







  if os.name == "nt":
    __A									= CursorInfo()
    __A									= ctypes.windll.kernelaa.GetStdHandle(-1_1 )
    ctypes.windll.kernelaa.GetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
    __A									= False
    ctypes.windll.kernelaa.SetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
  elif os.name == "posix":
    sys.stdout.write('''\033[?25l''' )
    sys.stdout.flush()



def 					lowerCAmelCase				(    ):




  """simple docstring"""







  if os.name == "nt":
    __A									= CursorInfo()
    __A									= ctypes.windll.kernelaa.GetStdHandle(-1_1 )
    ctypes.windll.kernelaa.GetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
    __A									= True
    ctypes.windll.kernelaa.SetConsoleCursorInfo(__UpperCamelCase		,       ctypes.byref(__UpperCamelCase ) )
  elif os.name == "posix":
    sys.stdout.write('''\033[?25h''' )
    sys.stdout.flush()





@contextmanager
def 					lowerCAmelCase				(    ):




  """simple docstring"""







  try:
    hide_cursor()
    yield
  finally:
    show_cursor()




