board is a round polished board with holes cut in
it in a geometrical pattern, and a glass marble in every hole.
copy of the above on a sheet of paper, number the "holes,"
and provide yourself with 33 counters, buttons, or beans.
Now place a
counter in every hole except the central one, No. 17.
Now take off all
the counters in a series of jumps, except the last
counter, which must be left in that central hole.
You are allowed
to jump one counter over the next one to a vacant hole
beyond, and the counter jumped over is immediately
taken off the board.
Every move must be a jump;
consequently you will take off a counter at each move, and thirty-one
single jumps will of course remove all the thirty-one
Compound moves are allowed for so long as one
counter continues to jump, the jumps all count as one move.
Here is the
beginning of an imaginary solution
which will serve to make the manner of moving perfectly plain, and show
how you should write out his attempts: 5-17, 12-10, 26-12, 24-26
(13-11, 11-25), 9-11 (26-24, 24-10, 10-12), etc., etc.
contained within brackets count as one move, because they are made with
the same counter.
Find the fewest
possible moves. No
diagonal jumps are permitted; you can only jump in the direction of the