Yes that's my conclusion too, there's no smart way to do it. You just 
have to try all possible combinations.

-A.


>Michael,
>
>Here's a possible solution.  Since there are no "rules" about choice 
>of pieces, I wrote an algorithm where we always make a choice at 
>random.  I just keep choosing pieces at random until we get the 
>right answer or there are no possible choices left.  If there are no 
>more choices, we start over.
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