
from math import pow, sqrt






def 			a_						(			*__lowercase  :      float					)					->    bool:
			_snake_case            =     len(__A					) > 0 and all(value > 0.0 for value in values					)
			return result






def 			a_						(			__lowercase  :      float			,   __lowercase  :      float					)					->    float | ValueError:
			return (
			    round(sqrt(molar_mass_a / molar_mass_a					)			,   6					)
			    if validate(__A			,   __A					)
			    else ValueError('Input Error: Molar mass values must greater than 0.'					)
			)






def 			a_						(			__lowercase  :      float			,   __lowercase  :      float			,   __lowercase  :      float					)					->    float | ValueError:
			return (
			    round(effusion_rate * sqrt(molar_mass_a / molar_mass_a					)			,   6					)
			    if validate(__A			,   __A			,   __A					)
			    else ValueError(
			        'Input Error: Molar mass and effusion rate values must greater than 0.'					)
			)






def 			a_						(			__lowercase  :      float			,   __lowercase  :      float			,   __lowercase  :      float					)					->    float | ValueError:
			return (
			    round(effusion_rate / sqrt(molar_mass_a / molar_mass_a					)			,   6					)
			    if validate(__A			,   __A			,   __A					)
			    else ValueError(
			        'Input Error: Molar mass and effusion rate values must greater than 0.'					)
			)






def 			a_						(			__lowercase  :      float			,   __lowercase  :      float			,   __lowercase  :      float					)					->    float | ValueError:
			return (
			    round(molar_mass / pow(effusion_rate_a / effusion_rate_a			,   2					)			,   6					)
			    if validate(__A			,   __A			,   __A					)
			    else ValueError(
			        'Input Error: Molar mass and effusion rate values must greater than 0.'					)
			)






def 			a_						(			__lowercase  :      float			,   __lowercase  :      float			,   __lowercase  :      float					)					->    float | ValueError:
			return (
			    round(pow(effusion_rate_a / effusion_rate_a			,   2					) / molar_mass			,   6					)
			    if validate(__A			,   __A			,   __A					)
			    else ValueError(
			        'Input Error: Molar mass and effusion rate values must greater than 0.'					)
			)







'''simple docstring'''



from math import isqrt


def 				lowercase_					(     __A			:							int      )							->   list[int]:



 """simple docstring"""




 lowercase       : Dict						=[True] * max_number
 for i in range(2       ,   isqrt(max_number - 1      ) + 1      ):
  if is_prime[i]:
   for j in range(i**2       ,   __A       ,   __A      ):
    lowercase       : str						=False

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


def 				lowercase_					(     __A			:							int = 1_0**8      )							->   int:



 """simple docstring"""




 lowercase       : Dict						=calculate_prime_numbers(max_number // 2      )

 lowercase       : str						=0
 lowercase       : Optional[Any]						=0
 lowercase       : Union[str, Any]						=len(__A      ) - 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() = }""")



