A very simple pattern can be used to solve this kind of puzzle every single time, no matter the size of the grid!
Try it at https://slidingtiles.com/en/puzzle/pl...
0:00 1 to 10
1:30 11 to 20
3:37 21 to 30
5:32 31 to 40
7:26 41 to 50
9:25 51 to 60
10:36 61 to 70
12:40 71 to 80
13:40 81 to 100!