




_snake_case            = 8.3_1_4_4_5_9_8







def        lowerCAmelCase_			(  snake_case_,snake_case_  ):
      if temperature < 0:
            raise Exception("""Temperature cannot be less than 0 K"""  )
      if molar_mass <= 0:
            raise Exception("""Molar mass cannot be less than or equal to 0 kg/mol"""  )
      else:
            return (3 * UNIVERSAL_GAS_CONSTANT * temperature / molar_mass) ** 0.5


if __name__ == "__main__":
  import doctest

  # run doctest
  doctest.testmod()

  # example
  _snake_case            = 300
  _snake_case            = 28
  _snake_case            = rms_speed_of_molecule(temperature, molar_mass)
  print(f"""Vrms of Nitrogen gas at 300 K is {vrms} m/s""")







def        lowerCAmelCase_			(  snake_case_ = 1000000  ):
      _A							:  Any    =		limit + 1
      _A							:  Tuple    =		[0] * limit
      for first_term in range(1,snake_case_  ):
            for n in range(snake_case_,snake_case_,snake_case_  ):
                  _A							:  Optional[int]    =		first_term + n / first_term
                  if common_difference % 4:  # d must be divisble by 4
                        continue
                  else:
                        common_difference /= 4
                        if (
                            first_term > common_difference
                            and first_term < 4 * common_difference
                        ):  # since x,y,z are positive integers
                              frequency[n] += 1  # so z>0 and a>d ,also 4d<a

      _A							:  List[str]    =		sum(1 for x in frequency[1:limit] if x == 10  )

      return count


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

