On twelve of the thirteen black discs are placed
numbered counters or grasshoppers.
Can you reverse their order, so that they shall
read, 1, 2, 3, 4, etc., in the opposite direction, with the vacant disc
left in the same position as at present?
Move one at a time in any order, either to the
adjoining vacant disc or by jumping over one grasshopper, like the
moves in draughts. The moves or leaps may be made in either direction
that is at any time possible.
What are the fewest possible moves in which it can