Under 1Player, you can play a Puzzle Mode where you will be presented with a set of blocks that you need to clear within a set number of moves. They get progressively more difficult as you advance, but the puzzles will never need more than 4 moves to solve.
There are 2 levels, split into 6 rounds, each with 10 puzzles. You only need to clear 8 puzzles to move onto the next round, but if you want the cool picture at the end, you need to clear them all. In addition, there is a bonus round that has only 3 puzzles, and you need to clear only one to pass. You will be given a number of 'hints points' that you can use to get a hint - push [Select] to use it.

Below are the answers to all the puzzles. The solutions are given in this format, which refers to the grid to left:
1AB, meaning the two blocks in position 1A and 1B on the grid should be swapped.