Tilt is another puzzle in the same line, which I think would work great on iPhone. Hopefully someday it will be ported.
You can use logic to rule out possibilities; also, it helps if you can figure out which piece should make the last move and reason backwards.
Note that the solution to this puzzle is not unique; this is a common occurrence in this game, however the last piece remaining and its position at the end of the puzzle are always unique.
Here is how the difficult puzzles look like. Having more pieces on the board makes it a lot harder to find the correct sequence of moves. With these longer move sequences, the undo button can be useful, though figuring out which piece to move first is probably the hardest part.
The free version contains 40 puzzles, the pay version 400. The puzzles are excellent, but I think that by today's App Store standards, the pay version is a bit overpriced. Still, in objective terms, it's (much) less than 1 cent per puzzle. Try the free version first to be sure.
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