"""simple docstring"""


from __future__ import annotations

import math







def 					__a   (		A    ,				A      ):






     '''simple docstring'''



     lowercase__				 =							u
     for i in range(1    ,				A      ):
          lowercase__				 =							temp * (u - i)
     return temp







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							int(input("enter the numbers of values: "      )      )
     lowercase__				 =							[]
     for _ in range(A      ):
          y.append([]      )
     for i in range(A      ):
          for j in range(A      ):
               y[i].append(A      )
               lowercase__				 =							0

     print("enter the values of parameters in a list: "      )
     lowercase__				 =							list(map(A    ,				input().split()      )      )

     print("enter the values of corresponding parameters: "      )
     for i in range(A      ):
          lowercase__				 =							float(input()      )

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

     # for calculating forward difference table

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

     lowercase__				 =							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()





"""simple docstring"""


import itertools
import math







def 					__a   (		A      ):






     '''simple docstring'''



     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5    ,				int(math.sqrt(A      ) + 1      )    ,				6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							2
     while True:
          if is_prime(A      ):
               yield num
          num += 1







def 					__a   (		A = 1_00_01      ):






     '''simple docstring'''



     return next(itertools.islice(prime_generator()    ,				nth - 1    ,				A      )      )


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




