Henry Ernest Dudeney/Puzzles and Curious Problems/246 - Transferring the Counters

by : $246$

 * Transferring the Counters
 * Place ten counters on the squares of a chessboard as here shown,
 * and transfer them to the other corner as indicated by the ten crosses.


 * Dudeney-Puzzles-and-Curious-Problems-246.png


 * A counter may jump over any counter to the next square beyond, if vacant,
 * either horizontally or vertically, but not diagonally,
 * and there are no captures and no simple moves -- only leaps.
 * Not to waste the reader's time it can be conclusively proved that this is impossible.


 * You are now asked to add two more counters so that it may be done.
 * If you place these, say, on $AA$, they must, in the end, be found in the corresponding positions $BB$.
 * Where will you place them?