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I'm glad you liked my game. I can guarantee that every level has a solution on the same principle that a randomly shuffled rubrics cube has a solution (every move that was made to get it to the random initial state is a valid move that the player can do and therefore undo), though they do get hard pretty fast.  If I have the time I might polish it up, add a main menu+difficulty select, and release it for android, but it might not be soon.