...you ought to ask for -- or, heck, *buy*! -- a strip to get you to and from it, from the Poles and Lithuanians.

Note, that's AND, not 'or': These schemes almost always fail, because usually the other party doesn't want to give up a "corridor" and have their own country split in two (neither of these two probably would) -- but here, nobody would *have* to! Just have them back off from their common border, not by very much at all (a couple hundred meters each ought to do it; maybe even as low as 50 meters each?), and give you a "transit corridor" *between* Poland and Lithuania. Sure, they were probably both quite comfortable with each other as neighbours... But it's not as if they didn't both have common borders with Russia already, so the difference really isn't all *that* big.