Henry Ernest Dudeney/Puzzles and Curious Problems/91 - Squaring the Digits/Solution

by : $91$

 * Squaring the Digits

Solution
A $3$-move solution is:


 * $\tuple {1, 5}$, $\tuple {8, 4}$, $\tuple {4, 6}$

which gives us:
 * $513 \, 814 \, 769 = 22 \, 887^2$

For interest's sake, we also offer up the $4$-move solution given by :


 * $\tuple {7, 3}$, $\tuple {3, 4}$, $\tuple {4, 8}$, $\tuple {2, 5}$

which gives us:
 * $157 \, 326 \, 849 = 12 \, 543^2$