





from __future__ import annotations

import math







def       UpperCAmelCase							(     _lowerCamelCase      :  float			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				Dict   =					u
						for i in range(1			,   _lowerCamelCase     ):
												SCREAMING_SNAKE_CASE__     :				int   =					temp * (u - i)
						return temp







def       UpperCAmelCase							(     ):





						'''simple docstring'''


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

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

						print("enter the values of corresponding parameters: "     )
						for i in range(_lowerCamelCase     ):
												SCREAMING_SNAKE_CASE__     :				int   =					float(input()     )

						SCREAMING_SNAKE_CASE__     :				List[str]   =					int(input("enter the value to interpolate: "     )     )
						SCREAMING_SNAKE_CASE__     :				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     ):
																		SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					y[j + 1][i - 1] - y[j][i - 1]

						SCREAMING_SNAKE_CASE__     :				Optional[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()






def       UpperCAmelCase							(     _lowerCamelCase      :  int = 4_000_000     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				Any   =					[0, 1]
						SCREAMING_SNAKE_CASE__     :				List[Any]   =					0
						while fib[i] <= n:
												fib.append(fib[i] + fib[i + 1]     )
												if fib[i + 2] > n:
																		break
												i += 1
						SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					0
						for j in range(len(_lowerCamelCase     ) - 1     ):
												if fib[j] % 2 == 0:
																		total += fib[j]

						return total


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