3 ms·
> So what knowledge have you actually learned after the first round? That your friend sees 2 or more, and your friend knows you see 18 or less. By itself, this
by falsedan 8y ago
> So what knowledge have you actually learned after the first round?
That your friend sees 2 or more, and your friend knows you see 18 or less. By itself, this is trivially deducable; but each day walks the limits closer to revela a fact that isn't trivial. You start the puzzle knowning that your friend can see either 6 or 8 statues, and each day you add a new fact about how many statues she can't see.
I'm more concerned that the problem as stated can be solved in 2 days: you say 18 on day one, then 20 on day two…
- 4ndr3vv 8y ago"Get it wrong, and neither of you ever leave. "
- falsedan 8y agoOh thanks, I missed this crucial caveat.
- AstralStorm 8y agoTherefore you say I see more than (y - 2) statues while he says morethan (x + 2) until you both repeat the same value. You know you cannot lie so a simple iteration on inequalities is enough to find the right value. This relies on your friend figuring out the linear addition scheme.
- hav 8y agoJudging from: > [...] and so on, until you get it right or wrong. The caretaker cackles, “If you need me, I’ll be out preparing your graves.” My impression is that once you have the wrong answer, you're not going to have another day.