[1000;01;1;00] [0;0;101;001]
(* shortest solution of length 206 *)
(* 3 2 2 1 2 1 1 1 3 3 1 3 2 3 1 2 1 3 2 1 1 3 1 2 1 3 3 2 1 1 3 1 3 2 2 1 3 3 0 2 2 1 2 1 3 1 3 2 1 1 2 1 1 1 3 1 3 1 2 1 3 2 1 3 3 1 3 1 1 1 3 1 2 1 3 1 3 2 3 1 3 3 1 1 1 3 1 3 1 2 1 3 0 2 3 0 3 2 3 1 1 1 3 1 1 1 3 0 2 2 1 3 0 3 0 3 2 1 1 2 1 3 1 3 1 3 1 2 1 3 2 1 3 1 3 1 3 1 1 1 3 1 2 1 3 1 3 1 3 1 3 3 1 1 1 3 1 3 1 3 1 3 1 3 0 3 2 3 1 3 1 3 1 3 1 3 1 2 1 3 0 2 3 1 3 1 3 1 1 1 3 1 1 1 3 0 0 0 3 0 3 0 3 0 0 0 *)