"And can you prove that's impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what that dath ilani word means but okay fine.  Anyways, proving it impossible for three players with three jellychips would be a great start on proving it impossible in general.  If it's actually impossible, that is."

"And can you prove that's impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what that dath ilani word means but okay fine.  Anyways, proving it impossible for three players with three jellychips might be a start on proving it impossible in general.  If it's actually impossible, that is."

"And can you prove that's impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what that dath ilani word 'troll' means but okay fine.  Anyways, proving it impossible for three players with three jellychips might be a start on proving it impossible in general.  If it's actually impossible, that is."

"And can you prove that's impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what the dath ilani word 'troll' means but okay fine.  Anyways, proving it impossible for three players with three jellychips might be a start on proving it impossible in general.  If it's actually impossible, that is."

"And can you prove that a local-not-global optimum is impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what the dath ilani word 'troll' means but okay fine.  Anyways, proving it impossible for three players with three jellychips might be a start on proving it impossible in general.  If it's actually impossible, that is."

"And can you prove that a local-not-global optimum is impossible for three players, each with one jellychip, of three different flavors?  Proving something for a simple special case is often easier than proving it for the general case, and sometimes is a good start on a general proof, if the problem hasn't been selected by some sadist... that is not what the dath ilani word 'troll' means but okay fine.  Anyways, proving it impossible for three players with three jellychips might be a start on proving it impossible in general, and in fact, there would be a lot of really interesting other proofs you could derive from that one."