Henry Ernest Dudeney/Puzzles and Curious Problems/245 - Magic Fifteen Puzzle

by : $245$

 * Magic Fifteen Puzzle
 * This is 's famous $14$-$15$ puzzle,
 * in which you were asked to get the $14$ and $15$ in their proper order by sliding them about in the box.
 * It was, of course, impossible of solution.


 * Dudeney-Puzzles-and-Curious-Problems-245.png


 * I now propose to slide them about until they shall form a perfect magic square
 * ''in which the four columns, four rows and two diagonals all add up to $30$.


 * It will be found convenient to use numbered counters in place of the blocks.
 * What are your fewest possible moves?