





"""simple docstring"""
from __future__ import annotations

import math

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    float  ,     _UpperCAmelCase					:    int			):
 lowerCAmelCase    				= u
 for i in range(1  ,     _UpperCAmelCase			):
  lowerCAmelCase    				= temp * (u - i)
 return temp

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

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

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

 lowerCAmelCase    				= int(input('enter the value to interpolate: '			)			)
 lowerCAmelCase    				= (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    				= y[j + 1][i - 1] - y[j][i - 1]

 lowerCAmelCase    				= 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"""
from __future__ import annotations

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[float]			):
 lowerCAmelCase    				= 0.00
 lowerCAmelCase    				= 0
 for resistor in resistors:
  if resistor <= 0:
   lowerCAmelCase    				= F'Resistor at index {index} has a negative or zero value!'
   raise ValueError(_UpperCAmelCase			)
  first_sum += 1 / float(_UpperCAmelCase			)
  index += 1
 return 1 / first_sum

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[float]			):
 lowerCAmelCase    				= 0.00
 lowerCAmelCase    				= 0
 for resistor in resistors:
  sum_r += resistor
  if resistor < 0:
   lowerCAmelCase    				= F'Resistor at index {index} has a negative value!'
   raise ValueError(_UpperCAmelCase			)
  index += 1
 return sum_r


if __name__ == "__main__":
       import doctest

       doctest.testmod()





