



"""simple docstring"""




import math


def 	lowercase__  (      _UpperCAmelCase					)  ->      float:






      '''simple docstring'''


      lowercase	:   Tuple											= math.log(2						,   10					) * number
      lowercase	:   Tuple											= round((log_number - int(_UpperCAmelCase					))						,   15					)

      return difference


def 	lowercase__  (      _UpperCAmelCase = 67_89_10					)  ->      int:






      '''simple docstring'''


      lowercase	:   Dict											= 90
      lowercase	:   int											= 0

      lowercase	:   Dict											= math.log(1.2_3						,   10					)
      lowercase	:   str											= math.log(1.2_4						,   10					)
      lowercase	:   List[Any]											= 0

      while position < number:
            lowercase	:   Union[str, Any]											= log_difference(_UpperCAmelCase					)

            if difference >= upper_limit:
                  power_iterator += 93

            elif difference < lower_limit:
                  power_iterator += 1_96

            else:
                  lowercase	:   List[Any]											= power_iterator
                  power_iterator += 1_96
                  position += 1

      return previous_power


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     print(f'''{solution() = }''')





"""simple docstring"""




from __future__ import annotations

# Define the Gravitational Constant G and the function
_UpperCamelCase:					Tuple     				=	6.6_7_4_3e-1_1  # unit of G : m^3 * kg^-1 * s^-2


def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase						,   _UpperCAmelCase					)  ->      dict[str, float]:






      '''simple docstring'''


      lowercase	:   str											= mass_a * mass_a

      if (force, mass_a, mass_a, distance).count(0					) != 1:
            raise ValueError('One and only one argument must be 0'					)
      if force < 0:
            raise ValueError('Gravitational force can not be negative'					)
      if distance < 0:
            raise ValueError('Distance can not be negative'					)
      if mass_a < 0 or mass_a < 0:
            raise ValueError('Mass can not be negative'					)
      if force == 0:
            lowercase	:   str											= GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
            return {"force": force}
      elif mass_a == 0:
            lowercase	:   Optional[int]											= (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
            return {"mass_1": mass_a}
      elif mass_a == 0:
            lowercase	:   Optional[int]											= (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
            return {"mass_2": mass_a}
      elif distance == 0:
            lowercase	:   List[Any]											= (GRAVITATIONAL_CONSTANT * product_of_mass / (force)) ** 0.5
            return {"distance": distance}
      raise ValueError('One and only one argument must be 0'					)


# Run doctest
if __name__ == "__main__":
     import doctest

     doctest.testmod()
