003: Quasigroup Existence

language Essence 1.3
$ prob003: quasigroup existence QG5
$ http://www.csplib.org/Problems/prob003

given n : int(1..100)
letting g be domain int (0..n-1)

find quasigroup : function(total) tuple(g,g) --> g

such that
  $ Latin square-ness
  forAll v : g . injective(restrict(quasigroup,`tuple(int(v),g)`)),
  forAll v : g . injective(restrict(quasigroup,`tuple(g,int(v))`)),

  $ qg5 (((b*a)*b)*b)=a
  forAll a,b : g . quasigroup((quasigroup((quasigroup((b,a)),b)),b)) = a