



"""simple docstring"""




def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase					)  ->      Optional[int]:






      '''simple docstring'''


      if not root or root not in binary_tree_mirror_dictionary:
            return
      lowercase						,     lowercase	:   Tuple											= binary_tree_mirror_dictionary[root][:2]
      lowercase	:   List[str]											= [right_child, left_child]
      binary_tree_mirror_dict(_UpperCAmelCase						,   _UpperCAmelCase					)
      binary_tree_mirror_dict(_UpperCAmelCase						,   _UpperCAmelCase					)


def 	lowercase__  (      _UpperCAmelCase						,   _UpperCAmelCase = 1					)  ->      dict:






      '''simple docstring'''


      if not binary_tree:
            raise ValueError('binary tree cannot be empty'					)
      if root not in binary_tree:
            lowercase	:   Dict											= f'''root {root} is not present in the binary_tree'''
            raise ValueError(_UpperCAmelCase					)
      lowercase	:   List[str]											= dict(_UpperCAmelCase					)
      binary_tree_mirror_dict(_UpperCAmelCase						,   _UpperCAmelCase					)
      return binary_tree_mirror_dictionary


if __name__ == "__main__":
     _UpperCamelCase:					List[Any]     				=	{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
     print(f'''Binary tree: {binary_tree}''')
     _UpperCamelCase:					Dict     				=	binary_tree_mirror(binary_tree, 5)
     print(f'''Binary tree mirror: {binary_tree_mirror_dictionary}''')





"""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()
