[100;0;1] [1;100;0]
(* shortest solution of length 75 *)
(* 0 2 2 0 0 1 0 2 2 2 1 0 0 0 2 0 2 2 1 1 0 1 0 1 1 2 0 2 2 2 2 0 1 0 0 0 0 1 2 1 0 2 2 1 1 2 0 2 1 0 1 0 0 2 2 0 2 1 2 1 1 0 0 1 0 2 1 1 1 2 1 1 2 1 1 *)