





from __future__ import annotations

import math







def  _SCREAMING_SNAKE_CASE				(   a					,						a  )      ->      float:
					__A	:						Tuple       =				u
					for i in range(1					,						a  ):
										__A	:						int       =				temp * (u - i)
					return temp







def  _SCREAMING_SNAKE_CASE				(   )      ->      None:
					__A	:						str       =				int(input('enter the numbers of values: '  )  )
					__A	:						list[list[float]]       =				[]
					for _ in range(a  ):
										y.append([]  )
					for i in range(a  ):
										for j in range(a  ):
															y[i].append(a  )
															__A	:						Dict       =				0

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

					print('enter the values of corresponding parameters: '  )
					for i in range(a  ):
										__A	:						Optional[int]       =				float(input()  )

					__A	:						str       =				int(input('enter the value to interpolate: '  )  )
					__A	:						Union[str, Any]       =				(value - x[0]) / (x[1] - x[0])

					# for calculating forward difference table

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

					__A	:						List[str]       =				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()











def  _SCREAMING_SNAKE_CASE				(   a					,						a = 0  )      ->      list:
					__A	:						int       =				length or len(a  )
					__A	:						str       =				False
					for i in range(length - 1  ):
										if list_data[i] > list_data[i + 1]:
															__A    ,				__A	:						Optional[int]       =				list_data[i + 1], list_data[i]
															__A	:						Union[str, Any]       =				True

					return list_data if not swapped else bubble_sort(a					,						length - 1  )


if __name__ == "__main__":
				import doctest

				doctest.testmod()




