

from __future__ import annotations

import math



def 			_A	(      SCREAMING_SNAKE_CASE	,SCREAMING_SNAKE_CASE      ):
	UpperCAmelCase__:	List[Any]									= u
	for i in range(1	,SCREAMING_SNAKE_CASE      ):
		UpperCAmelCase__:	Any									= temp * (u - i)
	return temp



def 			_A	(      ):
	UpperCAmelCase__:	Union[str, Any]									= int(input("enter the numbers of values: "      )      )
	UpperCAmelCase__:	list[list[float]]									= []
	for _ in range(SCREAMING_SNAKE_CASE      ):
		y.append([]      )
	for i in range(SCREAMING_SNAKE_CASE      ):
		for j in range(SCREAMING_SNAKE_CASE      ):
			y[i].append(SCREAMING_SNAKE_CASE      )
			UpperCAmelCase__:	Any									= 0

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

	print("enter the values of corresponding parameters: "      )
	for i in range(SCREAMING_SNAKE_CASE      ):
		UpperCAmelCase__:	Any									= float(input()      )

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

	# for calculating forward difference table

	for i in range(1	,SCREAMING_SNAKE_CASE      ):
		for j in range(n - i      ):
			UpperCAmelCase__:	Any									= y[j + 1][i - 1] - y[j][i - 1]

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

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


if __name__ == "__main__":
					main()


import fire

from utils import calculate_rouge, save_json



def 			_A	(      SCREAMING_SNAKE_CASE	,SCREAMING_SNAKE_CASE	,SCREAMING_SNAKE_CASE=None	,**SCREAMING_SNAKE_CASE      ):
	UpperCAmelCase__:	Tuple									= [x.strip() for x in open(SCREAMING_SNAKE_CASE      ).readlines()]
	UpperCAmelCase__:	Dict									= [x.strip() for x in open(SCREAMING_SNAKE_CASE      ).readlines()][: len(SCREAMING_SNAKE_CASE      )]
	UpperCAmelCase__:	Any									= calculate_rouge(SCREAMING_SNAKE_CASE	,SCREAMING_SNAKE_CASE	,**SCREAMING_SNAKE_CASE      )
	if save_path is not None:
		save_json(SCREAMING_SNAKE_CASE	,SCREAMING_SNAKE_CASE	,indent=SCREAMING_SNAKE_CASE      )
	return metrics  # these print nicely


if __name__ == "__main__":
					fire.Fire(calculate_rouge_path)