lsd_3 0 1 0 -> 1 1 -> 2 2 -> 3 1 1 0 -> 1 1 -> 1 2 -> 1 2 1 0 -> 1 1 -> 0 2 -> 4 3 0 0 -> 3 1 -> 3 2 -> 3 4 2 0 -> 4 1 -> 4 2 -> 4