

from __future__ import annotations

lowerCAmelCase__							=			"Alexander Joslin"
def   _lowerCAmelCase(						__A      ):






  if number <= 0:
    UpperCAmelCase          =	F"n must be greater than 0. Got n = {number}"
    raise ValueError(_UpperCAmelCase      )

  UpperCAmelCase          =	[number + 1] * (number + 1)

  # starting position
  UpperCAmelCase          =	0
  for i in range(1 ,							_UpperCAmelCase      ):
    UpperCAmelCase          =	min(table[i + 1] ,							table[i] + 1      )
    # check if out of bounds
    if i * 2 <= number:
      UpperCAmelCase          =	min(table[i * 2] ,							table[i] + 1      )
    # check if out of bounds
    if i * 3 <= number:
      UpperCAmelCase          =	min(table[i * 3] ,							table[i] + 1      )
  return table[number]


if __name__ == "__main__":
      import doctest

      doctest.testmod()








from __future__ import annotations

# Define the Gravitational Constant G and the function
__magic_name__       =     6.6743E-11  # unit of G : m^3 * kg^-1 * s^-2





def 		__snake_case						(    _UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase				):
					"""simple docstring"""






					lowercase						   =       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						   =       GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
										return {"force": force}
					elif mass_a == 0:
										lowercase						   =       (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
										return {"mass_1": mass_a}
					elif mass_a == 0:
										lowercase						   =       (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
										return {"mass_2": mass_a}
					elif distance == 0:
										lowercase						   =       (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()






