






def    __magic_name__    (	SCREAMING_SNAKE_CASE = 600_851_475_143				)     ->    Dict:




							try:
														_lowercase							:   Union[str, Any] 							=   int(SCREAMING_SNAKE_CASE				)
							except (TypeError, ValueError):
														raise TypeError('Parameter n must be int or castable to int.'				)
							if n <= 0:
														raise ValueError('Parameter n must be greater than or equal to one.'				)
							_lowercase							:   Dict 							=   2
							_lowercase							:   Optional[Any] 							=   0
							if n == 2:
														return 2
							while n > 2:
														while n % i != 0:
																					i += 1
														_lowercase							:   Tuple 							=   i
														while n % i == 0:
																					_lowercase							:   int 							=   n // i
														i += 1
							return int(SCREAMING_SNAKE_CASE				)


if __name__ == "__main__":
							print(f'''{solution() = }''')








from __future__ import annotations

import math


def     lowercase	(    a     , a ):



		'''simple docstring'''




		SCREAMING_SNAKE_CASE_				:List[Any]				     =						u
		for i in range(1     , a ):
				SCREAMING_SNAKE_CASE_				:Union[str, Any]				     =						temp * (u - i)
		return temp


def     lowercase	(    ):



		'''simple docstring'''




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

		print("enter the values of parameters in a list: " )
		SCREAMING_SNAKE_CASE_				:Dict				     =						list(map(a     , input().split() ) )

		print("enter the values of corresponding parameters: " )
		for i in range(a ):
				SCREAMING_SNAKE_CASE_				:List[Any]				     =						float(input() )

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

		# for calculating forward difference table

		for i in range(1     , a ):
				for j in range(n - i ):
						SCREAMING_SNAKE_CASE_				:List[str]				     =						y[j + 1][i - 1] - y[j][i - 1]

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

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


if __name__ == "__main__":
		main()






