





'''simple docstring'''






import random

from .binary_exp_mod import bin_exp_mod



def        UpperCamelCase__		(						__magic_name__  :   List[Any]		,       __magic_name__  :   Optional[Any]=10_00      )				->			List[str]:
 '''simple docstring'''






 if n < 2:
  return False

 if n % 2 == 0:
  return n == 2

 # this means n is odd
 snake_case__     :					int    =  n - 1
 snake_case__     :					Union[str, Any]    =  0
 while d % 2 == 0:
  d /= 2
  exp += 1

 # n - 1=d*(2**exp)
 snake_case__     :					str    =  0
 while count < prec:
  snake_case__     :					Any    =  random.randint(2		,       n - 1      )
  snake_case__     :					Optional[Any]    =  bin_exp_mod(__magic_name__		,       __magic_name__		,       __magic_name__      )
  if b != 1:
   snake_case__     :					Optional[int]    =  True
   for _ in range(__magic_name__      ):
    if b == n - 1:
     snake_case__     :					Any    =  False
     break
    snake_case__     :					List[str]    =  b * b
    b %= n
   if flag:
    return False
   count += 1
 return True


if __name__ == "__main__":
    A_		:  Optional[Any]		 =						abs(int(input("Enter bound : ").strip()))
    print("Here's the list of primes:")
    print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))









'''simple docstring'''

import unittest

from knapsack import knapsack as k






class 						a_		(     unittest.TestCase    ):


							def    UpperCamelCase     (				self   :						str			)			->					List[Any]:
										snake_case:    Optional[Any]      							=0
										snake_case:    List[str]      							=[0]
										snake_case:    List[str]      							=[0]
										snake_case:    Union[str, Any]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)

										snake_case:    Union[str, Any]      							=[6_0]
										snake_case:    str      							=[1_0]
										snake_case:    List[str]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)


							def    UpperCamelCase     (				self   :						int			)			->					Optional[Any]:
										snake_case:    Optional[int]      							=3
										snake_case:    Dict      							=[1, 2, 3]
										snake_case:    List[Any]      							=[3, 2, 1]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						5			)




							def    UpperCamelCase     (				self   :						List[str]			)			->					str:
										snake_case:    Any      							=5_0
										snake_case:    str      							=[6_0, 1_0_0, 1_2_0]
										snake_case:    Any      							=[1_0, 2_0, 3_0]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						2_2_0			)


if __name__ == "__main__":
	unittest.main()




