If 2^x + 2^y = x^2 + y^2, where x and y…

If 2^x + 2^y = x^2 + y^2, where x and y are non negative and non zero integers, what is the greatest possible value of x + y possible from options below?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #92563