"""simple docstring"""
import unittest

from knapsack import knapsack as k




class    __snake_case       (     unittest.TestCase				):



      def   lowerCamelCase_   (						self)	->			str:





        '''simple docstring'''





        a__:     Optional[Any]										=	0
        a__:     Optional[int]										=	[0]
        a__:     Any										=	[0]
        a__:     int										=	len(lowercase)
        self.assertEqual(k.knapsack(lowercase    ,			lowercase    ,			lowercase    ,			lowercase)    ,			0)

        a__:     Tuple										=	[60]
        a__:     Union[str, Any]										=	[10]
        a__:     Tuple										=	len(lowercase)
        self.assertEqual(k.knapsack(lowercase    ,			lowercase    ,			lowercase    ,			lowercase)    ,			0)



      def   lowerCamelCase_   (						self)	->			Dict:





        '''simple docstring'''





        a__:     Tuple										=	3
        a__:     List[Any]										=	[1, 2, 3]
        a__:     Any										=	[3, 2, 1]
        a__:     List[Any]										=	len(lowercase)
        self.assertEqual(k.knapsack(lowercase    ,			lowercase    ,			lowercase    ,			lowercase)    ,			5)



      def   lowerCamelCase_   (						self)	->			str:





        '''simple docstring'''





        a__:     str										=	50
        a__:     List[str]										=	[60, 1_00, 1_20]
        a__:     Union[str, Any]										=	[10, 20, 30]
        a__:     str										=	len(lowercase)
        self.assertEqual(k.knapsack(lowercase    ,			lowercase    ,			lowercase    ,			lowercase)    ,			2_20)


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



"""simple docstring"""
import math







def 						__a   (	_SCREAMING_SNAKE_CASE   )	->bool:

  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(_SCREAMING_SNAKE_CASE   ) + 1   )		,     6   ):
    if number % i == 0 or number % (i + 2) == 0:
      return False
  return True







def 						__a   (	_SCREAMING_SNAKE_CASE = 0.1   )	->int:
  a__:     str										=	3
  a__:     Optional[Any]										=	3

  while primes / (2 * j - 1) >= ratio:
    for i in range(j * j + j + 1		,     (j + 2) * (j + 2)		,     j + 1   ):
      primes += is_prime(_SCREAMING_SNAKE_CASE   )
    j += 2
  return j


if __name__ == "__main__":
 import doctest

 doctest.testmod()


