


'''simple docstring'''


from __future__ import annotations

import math






def        __lowerCAmelCase       (__lowerCAmelCase					,       __lowerCAmelCase      ):
		_UpperCAmelCase						:				Any	    =					u
		for i in range(1					,       __lowerCAmelCase      ):
				_UpperCAmelCase						:				Union[str, Any]	    =					temp * (u - i)
		return temp






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

		print("enter the values of parameters in a list: "      )
		_UpperCAmelCase						:				int	    =					list(map(__lowerCAmelCase					,       input().split()      )      )

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

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

		# for calculating forward difference table

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

		_UpperCAmelCase						:				List[Any]	    =					y[0][0]
		for i in range(1					,       __lowerCAmelCase      ):
				summ += (ucal(__lowerCAmelCase					,       __lowerCAmelCase      ) * y[0][i]) / math.factorial(__lowerCAmelCase      )

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


if __name__ == "__main__":
						main()







'''simple docstring'''


import warnings

from diffusers import StableDiffusionImgaImgPipeline  # noqa F401


warnings.warn(
    'The `image_to_image.py` script is outdated. Please use directly `from diffusers import'
    ' StableDiffusionImg2ImgPipeline` instead.'
)



