The trick is to arrange the tiles in alternating colors so that they can be jumped over.

You can achieve this by following a simple rule:

• after moving a tile, move a tile of the same color unless that tile will be moved to a position where it is behind a tile of the same color

The steps for a 3-tile game is shown here for demonstration. The steps for a 4-tile game or even a 100-tile game is similar:















After this point, the solution is apparent - after moving a tile, move a tile of the same color until you cannot do so.