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Ya I totally agree, a system to remove pieces, or reset just the dice not the pieces would make this a better game.  It was due to the super tight time constraint that I did not manage that and just went with the reset all.  Given another day I would of done this as well as added a few more levels, but with such a short time frame I was kind of forced to complete something :)  

I was initially thinking about a score based on the number of pieces you used and the number of tries, that would make a much more dynamic puzzle with more repeatability, but as previously said that was just to much scope wise for this short 48 hrs.