You're allowed to reuse moves: So for goal (0, 4) and the displacement vectors {a = (1, 0), b = (-3, 1)}, the solution is aaabaaabaaabaaab — 16 steps total. The analogous problem for three dimensions would have a 64 step witness, for four dimensions would have a 128 step witness, etc.
You're allowed to reuse moves: So for goal
(0, 4)
and the displacement vectors{a = (1, 0), b = (-3, 1)}
, the solution isaaabaaabaaabaaab
— 16 steps total. The analogous problem for three dimensions would have a 64 step witness, for four dimensions would have a 128 step witness, etc.