>>10994078one way to define group operation would be to return the winning element, for example,
R P = P, or P P = P, or P S = S,
but in this way, it's not even associative operation, so this would not work, as
(R P) S = P S = S, but R (P S) = R S = R.
So OP is a fag and he needs to provide some better definition