

from __future__ import annotations

import math





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







							'''simple docstring'''






							snake_case_           =					u
							for i in range(1     ,							UpperCamelCase__   ):
														snake_case_           =					temp * (u - i)
							return temp





def       __lowerCamelCase			(				):







							'''simple docstring'''






							snake_case_           =					int(input('enter the numbers of values: '   )   )
							snake_case_           =					[]
							for _ in range(UpperCamelCase__   ):
														y.append([]   )
							for i in range(UpperCamelCase__   ):
														for j in range(UpperCamelCase__   ):
																					y[i].append(UpperCamelCase__   )
																					snake_case_           =					0

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

							print('enter the values of corresponding parameters: '   )
							for i in range(UpperCamelCase__   ):
														snake_case_           =					float(input()   )

							snake_case_           =					int(input('enter the value to interpolate: '   )   )
							snake_case_           =					(value - x[0]) / (x[1] - x[0])

							# for calculating forward difference table

							for i in range(1     ,							UpperCamelCase__   ):
														for j in range(n - i   ):
																					snake_case_           =					y[j + 1][i - 1] - y[j][i - 1]

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

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


if __name__ == "__main__":
					main()







def       __lowerCamelCase			(				UpperCamelCase__ = 50000000   ):







							'''simple docstring'''






							snake_case_           =					set()
							snake_case_           =					int((limit - 24) ** (1 / 2)   )

							snake_case_           =					set(range(3     ,							prime_square_limit + 1     ,							2   )   )
							primes.add(2   )
							for p in range(3     ,							prime_square_limit + 1     ,							2   ):
														if p not in primes:
																					continue
														primes.difference_update(set(range(p * p     ,							prime_square_limit + 1     ,							UpperCamelCase__   )   )   )

							for primea in primes:
														snake_case_           =					primea * primea
														for primea in primes:
																					snake_case_           =					primea * primea * primea
																					if square + cube >= limit - 16:
																												break
																					for primea in primes:
																												snake_case_           =					primea * primea * primea * primea
																												snake_case_           =					square + cube + tetr
																												if total >= limit:
																																			break
																												ret.add(UpperCamelCase__   )

							return len(UpperCamelCase__   )


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




