Update: Nevermind, I was going from the groupings to the output not the original list. Plus, I was not thinking in terms of packing the things...
I too am pretty well lost. I think you've attempted to simplify your description of the problem too much, as it's fairly obvious to me, there are many unstated rules that must be followed to get from the input to the output that is desired.
How do you determine where a given block can start on a given row, how do you know when a row is finished? Etc.
-Scott
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