






"""simple docstring"""



from __future__ import annotations

# Define the Gravitational Constant G and the function
A_     =				6.67_43e-11  # unit of G : m^3 * kg^-1 * s^-2




def   _lowerCAmelCase		(				UpperCAmelCase__							:       float,    UpperCAmelCase__							:       float,    UpperCAmelCase__							:       float,    UpperCAmelCase__							:       float   )		->dict[str, float]:
						A__    :	Optional[int]			=	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:
												A__    :	Optional[Any]			=	GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
												return {"force": force}
						elif mass_a == 0:
												A__    :	str			=	(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
												return {"mass_1": mass_a}
						elif mass_a == 0:
												A__    :	Optional[Any]			=	(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
												return {"mass_2": mass_a}
						elif distance == 0:
												A__    :	str			=	(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()














"""simple docstring"""



from itertools import combinations, product




def   _lowerCAmelCase		(				UpperCAmelCase__							:       int,    UpperCAmelCase__							:       int,    UpperCAmelCase__							:       int,    UpperCAmelCase__							:       int   )		->bool:
						if xa == ya == 0 or xa == ya == 0:
												return False
						A__    :	List[str]			=	xa * xa + ya * ya
						A__    :	List[Any]			=	xa * xa + ya * ya
						A__    :	Optional[int]			=	(xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
						return (
						    a_square + b_square == c_square
						    or a_square + c_square == b_square
						    or b_square + c_square == a_square
						)




def   _lowerCAmelCase		(				UpperCAmelCase__							:       int = 5_0   )		->int:
						return sum(
						    1
						    for pta, pta in combinations(product(range(limit + 1   ),    repeat=2   ),    2   )
						    if is_right(*UpperCAmelCase__,    *UpperCAmelCase__   )   )


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






