#index #s-prep
see also: [[3 x 3 Slide Puzzle Algorithm]]
# 4 x 4 Slide Puzzle Algorithm
Algorithm to solve the 16-piece slide puzzle:

1. To begin, work on the top row first, or the row that is furthest away form the known "END" point
1. Start by getting 1 and 2 in a consecutive arrangement
2. Then get 4 followed by three so you can slide those in to the right spots. You could also in theory get a snake of 1-2-3-4 going but that gets a little complicated.
3. Repeat this same process for 5-6 and 8-7 so that then you only have to focus on the bottom row
4. Once the final row is set up, you should get 13-9 ordered in the relative top row, so that you can move it into the left-most column
5. Repeat the previous step for 14-10
6. Cycle through 11-12-15 until you get the solution!
This can get you a solution in under a minute if you're accurate and consistent.