Let's say left door lies and right door tells the truth. Right door leads out.
Left door would lie and say "right door would tell you I am the door that leads out"
Right door would tell the truth, and say "left door would say LEFT door leads to freedom". Since left door does not lead to freedom, left door would lie and say that left door is the correct one.
No matter which door you ask, they will have the same answer.
So you would choose the opposite door of whichever one they say.
This is why there are varying carrots in my stew.
Some go in early to get that carrot flavor in the stock, which I like, but that makes them mushy and gross.
So I usually try and get the first carrots out before the potatoes go in, and then it's kind of a guess on my end when to put more carrots in so they're nicely cooked but not overdone.