def      __SCREAMING_SNAKE_CASE  ( __UpperCamelCase   :	Union[str, Any]     )							-> Union[str, Any]:







  """simple docstring"""





  if any(not isinstance(_lowerCAmelCase			,					_lowerCAmelCase     ) or x < 0 for x in sequence     ):
    raise TypeError("""Sequence must be list of non-negative integers"""     )
  for _ in range(len(_lowerCAmelCase     )     ):
    for i, (rod_upper, rod_lower) in enumerate(zip(_lowerCAmelCase			,					sequence[1:]     )     ):
      if rod_upper > rod_lower:
        sequence[i] -= rod_upper - rod_lower
        sequence[i + 1] += rod_upper - rod_lower
  return sequence


if __name__ == "__main__":
   assert bead_sort([5, 4, 3, 2, 1]) == [1, 2, 3, 4, 5]
   assert bead_sort([7, 9, 4, 3, 5]) == [3, 4, 5, 7, 9]

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() = }""")
