






import math







def       lowercase__	(					A_:						int		)	->				bool:







       """simple docstring"""






       assert isinstance(A_  ,      A_		) and (
           number >= 0
       ), "'number' must been an int and positive"

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

       __UpperCAmelCase     				=range(3  ,      int(math.sqrt(A_		) + 1		)  ,      2		)
       return not any(not number % i for i in odd_numbers		)







def       lowercase__	(					A_:						Any  ,      A_:						Optional[int]=1  ,      **A_:						int		)	->				int:







       """simple docstring"""






       __UpperCAmelCase     				=factor * value
       __UpperCAmelCase     				=value

       while not is_prime(A_		):
              value += 1 if not ("desc" in kwargs and kwargs["desc"] is True) else -1

       if value == first_value_val:
              return next_prime(value + 1  ,      **A_		)
       return value







'''simple docstring'''







from bisect import bisect
from itertools import accumulate
def    UpperCAmelCase__     (   UpperCAmelCase__,							UpperCAmelCase__,							UpperCAmelCase__,							UpperCAmelCase__					)      ->      Dict:
       A_						       =   sorted(zip(UpperCAmelCase__,							UpperCAmelCase__					),							key=lambda UpperCAmelCase__					: x[0] / x[1],							reverse=UpperCAmelCase__					)
       A_       ,      A_						       =   [i[0] for i in r], [i[1] for i in r]
       A_						       =   list(accumulate(UpperCAmelCase__					)					)
       A_						       =   bisect(UpperCAmelCase__,							UpperCAmelCase__					)
       return (
           0
           if k == 0
           else sum(vl[:k]					) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
           if k != n
           else sum(vl[:k]					)
       )


if __name__ == "__main__":
      import doctest

      doctest.testmod()
