Henry Ernest Dudeney/Modern Puzzles/153 - Transferring the Counters

by : $153$

 * Transferring the Counters
 * Divide a sheet of paper into six compartments, as shown in the diagram,
 * and place a pile of $15$ counters, numbered consecutively $1$, $2$, $3$, $\ldots$, $15$ downwards, in compartment $A$.


 * Dudeney-Modern-Puzzles-153.png


 * The puzzle is to transfer the complete pile, in the fewest possible moves, to compartment $F$.
 * You can move the counters one at a time to any compartment,
 * but may never place a counter on one that bears a smaller number than itself.


 * Thus, if you place $1$ on $B$ and $2$ on $C$, you can then place $1$ on $2$, but not $2$ on $1$.