from __future__ import annotations

__lowerCamelCase      :			int							       =		10



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	list[int]     )							-> str:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				1
  SCREAMING_SNAKE_CASE__      							=				max(__UpperCamelCase     )
  while placement <= max_digit:
    # declare and initialize empty buckets
    SCREAMING_SNAKE_CASE__      							=				[[] for _ in range(__UpperCamelCase     )]
    # split list_of_ints between the buckets
    for i in list_of_ints:
      SCREAMING_SNAKE_CASE__      							=				int((i / placement) % RADIX     )
      buckets[tmp].append(__UpperCamelCase     )
    # put each buckets' contents into list_of_ints
    SCREAMING_SNAKE_CASE__      							=				0
    for b in range(__UpperCamelCase     ):
      for i in buckets[b]:
        SCREAMING_SNAKE_CASE__      							=				i
        a += 1
        # move to next
    placement *= RADIX
  return list_of_ints


if __name__ == "__main__":
   import doctest

   doctest.testmod()

from math import isqrt



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int     )							-> list[int]:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				[True] * max_number
  for i in range(2			,					isqrt(max_number - 1     ) + 1     ):
    if is_prime[i]:
      for j in range(i**2			,					__UpperCamelCase			,					__UpperCamelCase     ):
        SCREAMING_SNAKE_CASE__      							=				False

  return [i for i in range(2			,					__UpperCamelCase     ) if is_prime[i]]



def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	int = 10**8     )							-> int:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__      							=				calculate_prime_numbers(max_number // 2     )

  SCREAMING_SNAKE_CASE__      							=				0
  SCREAMING_SNAKE_CASE__      							=				0
  SCREAMING_SNAKE_CASE__      							=				len(__UpperCamelCase     ) - 1
  while left <= right:
    while prime_numbers[left] * prime_numbers[right] >= max_number:
      right -= 1
    semiprimes_count += right - left + 1
    left += 1

  return semiprimes_count


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