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

by : $245$

 * Magic Fifteen Puzzle

Solution
points out that if the $14$ and $15$ are in the correct serial order at the start, then a magic square can be achieved in $37$ moves:


 * $15$, $14$, $10$, $6$, $7$, $3$, $2$, $7$, $6$, $11$, $10$, $14$, $3$, $2$, $11$, $10$, $9$, $5$, $1$, $6$, $10$, $9$, $5$, $1$, $6$, $10$, $9$, $5$, $2$, $12$, $3$

This results in the square:


 * Dudeney-Puzzles-and-Curious-Problems-245-solution-2.png