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I've found this game to be quite difficult, I've approached it several different times, and unless I am making some mistake consistently (which probably has to be the case) I keep arriving at a contradiction in the conditional statements that puts a wrinkle in solving the games.

Here are the conditionals that I've arrived at through inferences and rule combination:

Nr->Or->Js->Kr
and
Kr->Ps

Pr->Ks->Jr->Os->Ns
and
Os

Assuming I made the above inference chains validly, some of the questions posed don't logically make sense.

My confusion ultimately steps from the following set up, the above two are derivatives of the following:


Ls->Nr->Or
and
Pr->Ks
and
Os

Halp, plox.

The rules do conflict. Which means that L cannot be at S (because if it is then O is supposed to be at both R and S, which cannot be) and must be at R.