





'''simple docstring'''






from __future__ import annotations



def        UpperCamelCase__		(						__magic_name__  :   Tuple		,       __magic_name__  :   List[str]		,       __magic_name__  :   int		,       __magic_name__  :   Union[str, Any]      )				->			Optional[Any]:  # noqa: E741
 '''simple docstring'''






 while r - l > 1:
  snake_case__     :					Optional[Any]    =  (l + r) // 2
  if v[m] >= key:
   snake_case__     :					List[str]    =  m
  else:
   snake_case__     :					List[Any]    =  m  # noqa: E741
 return r



def        UpperCamelCase__		(						__magic_name__  :   list[int]      )				->			int:
 '''simple docstring'''






 if len(__magic_name__      ) == 0:
  return 0

 snake_case__     :					str    =  [0] * len(__magic_name__      )
 snake_case__     :					Any    =  1

 snake_case__     :					Union[str, Any]    =  v[0]

 for i in range(1		,       len(__magic_name__      )      ):
  if v[i] < tail[0]:
   snake_case__     :					List[str]    =  v[i]
  elif v[i] > tail[length - 1]:
   snake_case__     :					str    =  v[i]
   length += 1
  else:
   snake_case__     :					List[Any]    =  v[i]

 return length


if __name__ == "__main__":
    import doctest

    doctest.testmod()







"""simple docstring"""


from math import pow, sqrt



def   _A					(	*_a	:						float				):



      """simple docstring"""






      A				  =		len(_a				) > 0 and all(value > 0.0 for value in values				)
      return result



def   _A					(	_a	:						float     ,   _a	:						float				):



      """simple docstring"""






      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					(	_a	:						float     ,   _a	:						float     ,   _a	:						float				):



      """simple docstring"""






      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					(	_a	:						float     ,   _a	:						float     ,   _a	:						float				):



      """simple docstring"""






      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					(	_a	:						float     ,   _a	:						float     ,   _a	:						float				):



      """simple docstring"""






      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					(	_a	:						float     ,   _a	:						float     ,   _a	:						float				):



      """simple docstring"""






      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."""				)
      )




