





'''simple docstring'''






from __future__ import annotations

import math



def        UpperCamelCase__		(						__magic_name__  :   float		,       __magic_name__  :   int      )				->			float:
 '''simple docstring'''






 snake_case__     :					Dict    =  u
 for i in range(1		,       __magic_name__      ):
  snake_case__     :					Tuple    =  temp * (u - i)
 return temp



def        UpperCamelCase__		(						)				->			None:
 '''simple docstring'''






 snake_case__     :					str    =  int(input("""enter the numbers of values: """      )      )
 snake_case__     :					list[list[float]]    =  []
 for _ in range(__magic_name__      ):
  y.append([]      )
 for i in range(__magic_name__      ):
  for j in range(__magic_name__      ):
   y[i].append(__magic_name__      )
   snake_case__     :					List[Any]    =  0

 print("""enter the values of parameters in a list: """      )
 snake_case__     :					Tuple    =  list(map(__magic_name__		,       input().split()      )      )

 print("""enter the values of corresponding parameters: """      )
 for i in range(__magic_name__      ):
  snake_case__     :					Tuple    =  float(input()      )

 snake_case__     :					Optional[Any]    =  int(input("""enter the value to interpolate: """      )      )
 snake_case__     :					Optional[int]    =  (value - x[0]) / (x[1] - x[0])

 # for calculating forward difference table

 for i in range(1		,       __magic_name__      ):
  for j in range(n - i      ):
   snake_case__     :					int    =  y[j + 1][i - 1] - y[j][i - 1]

 snake_case__     :					Optional[int]    =  y[0][0]
 for i in range(1		,       __magic_name__      ):
  summ += (ucal(__magic_name__		,       __magic_name__      ) * y[0][i]) / math.factorial(__magic_name__      )

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


if __name__ == "__main__":
    main()






def 				SCREAMING_SNAKE_CASE_   (      UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__		):
      if index == number_of_items:
            return 0
      UpperCamelCase__     : str											=					0
      UpperCamelCase__     : Optional[Any]											=					0
      UpperCamelCase__     : int											=					knapsack(UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__			,		index + 1		)
      if weights[index] <= max_weight:
            UpperCamelCase__     : List[Any]											=					values[index] + knapsack(
                UpperCamelCase__			,		UpperCamelCase__			,		UpperCamelCase__			,		max_weight - weights[index]			,		index + 1		)
      return max(UpperCamelCase__			,		UpperCamelCase__		)


if __name__ == "__main__":
    import doctest

    doctest.testmod()


