{-1, 0, 1} lsd_2 lsd_2 0 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 3 1 0 1 -> 4 1 1 0 -> 5 1 1 1 -> 6 -1 0 0 -> 7 -1 0 1 -> 8 -1 1 0 -> 9 -1 1 1 -> 10 1 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 2 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 2 2 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 2 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 2 3 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 11 1 0 1 -> 12 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 11 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 13 4 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 13 -1 0 0 -> 2 -1 0 1 -> 12 -1 1 0 -> 2 -1 1 1 -> 2 5 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 5 1 0 1 -> 2 1 1 0 -> 14 1 1 1 -> 2 -1 0 0 -> 5 -1 0 1 -> 2 -1 1 0 -> 14 -1 1 1 -> 2 6 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 6 1 0 1 -> 2 1 1 0 -> 15 1 1 1 -> 2 -1 0 0 -> 6 -1 0 1 -> 2 -1 1 0 -> 15 -1 1 1 -> 2 7 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 11 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 13 -1 0 0 -> 11 -1 0 1 -> 12 -1 1 0 -> 2 -1 1 1 -> 2 8 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 12 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 2 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 13 9 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 9 1 0 1 -> 2 1 1 0 -> 15 1 1 1 -> 2 -1 0 0 -> 9 -1 0 1 -> 2 -1 1 0 -> 15 -1 1 1 -> 2 10 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 10 1 0 1 -> 2 1 1 0 -> 14 1 1 1 -> 2 -1 0 0 -> 10 -1 0 1 -> 2 -1 1 0 -> 14 -1 1 1 -> 2 11 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 11 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 11 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 2 12 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 12 1 1 0 -> 2 1 1 1 -> 13 -1 0 0 -> 2 -1 0 1 -> 12 -1 1 0 -> 2 -1 1 1 -> 13 13 1 0 0 0 -> 1 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 13 1 0 1 -> 2 1 1 0 -> 16 1 1 1 -> 2 -1 0 0 -> 13 -1 0 1 -> 2 -1 1 0 -> 16 -1 1 1 -> 2 14 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 13 1 1 0 -> 2 1 1 1 -> 2 -1 0 0 -> 2 -1 0 1 -> 2 -1 1 0 -> 2 -1 1 1 -> 16 15 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 2 1 1 0 -> 2 1 1 1 -> 16 -1 0 0 -> 2 -1 0 1 -> 13 -1 1 0 -> 2 -1 1 1 -> 2 16 0 0 0 0 -> 2 0 0 1 -> 2 0 1 0 -> 2 0 1 1 -> 2 1 0 0 -> 2 1 0 1 -> 13 1 1 0 -> 2 1 1 1 -> 16 -1 0 0 -> 2 -1 0 1 -> 13 -1 1 0 -> 2 -1 1 1 -> 16