Can it still be solved if I generalize the question like this? * Same setup: two prisoners A and B overlooking two distinct gardens with a constant nonnegati

Can it still be solved if I generalize the question like this? * Same setup: two prisoners A and B overlooking two distinct gardens with a constant nonnegative integer number of statues each. * The guard asks A and B each day if there are more than N statues total. * They can either guess or pass. * Wrong guess is a life sentence for both, game over. * Good guess and they are both out instantly. * N is a nonnegative integer. * N is the same each day. * N is the same for both A and B. * The question is posed each day to A first. * They both know all rules of this game. * A and B can't exchange information except indirectly by the fact that the other has passed in his turn and they get the question posed to them again. So the same except generalizing [18 or 20?] to [more than N, in this case more than 18?]. The solution in the article doesn't seem to require the more specific question and the information derived from it ("the other guy must see either either 20 - X or 18 - X statues"), while this seems to confuse some solutions given here. The guard asks whether there are at least N statues total. [For any integer N which in the linked case would be 19.]