


import random
def   _UpperCamelCase				(						lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_   )						->Tuple:
   UpperCAmelCase							=     a[left_index]
   UpperCAmelCase							=     left_index + 1
   for j in range(left_index + 1  ,						lowerCAmelCase_   ):
      if a[j] < pivot:
         UpperCAmelCase				,  UpperCAmelCase							=     a[i], a[j]
         i += 1
   UpperCAmelCase				,  UpperCAmelCase							=     a[i - 1], a[left_index]
   return i - 1
def   _UpperCamelCase				(						lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_   )						->Union[str, Any]:
   if left < right:
      UpperCAmelCase							=     random.randint(lowerCAmelCase_  ,						right - 1   )
      UpperCAmelCase				,  UpperCAmelCase							=     (
          a[left],
          a[pivot],
      )  # switches the pivot with the left most bound
      UpperCAmelCase							=     partition(lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_   )
      quick_sort_random(
          lowerCAmelCase_  ,						lowerCAmelCase_  ,						lowerCAmelCase_   )  # recursive quicksort to the left of the pivot point
      quick_sort_random(
          lowerCAmelCase_  ,						pivot_index + 1  ,						lowerCAmelCase_   )  # recursive quicksort to the right of the pivot point
def   _UpperCamelCase				(						)						->List[str]:
   UpperCAmelCase							=     input("""Enter numbers separated by a comma:\n"""   ).strip()
   UpperCAmelCase							=     [int(lowerCAmelCase_   ) for item in user_input.split(""","""   )]

   quick_sort_random(lowerCAmelCase_  ,						0  ,						len(lowerCAmelCase_   )   )

   print(lowerCAmelCase_   )


if __name__ == "__main__":
 main()







from math import isqrt
def   _UpperCamelCase				(						lowerCAmelCase_   )						->bool:
   return all(number % divisor != 0 for divisor in range(2  ,						isqrt(lowerCAmelCase_   ) + 1   )   )
def   _UpperCamelCase				(						lowerCAmelCase_ = 1_0**6   )						->int:
   UpperCAmelCase							=     0
   UpperCAmelCase							=     1
   UpperCAmelCase							=     7
   while prime_candidate < max_prime:
      primes_count += is_prime(lowerCAmelCase_   )

      cube_index += 1
      prime_candidate += 6 * cube_index

   return primes_count


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



