Steven Bethard wrote:
 > Anyway, do you know what name this problem is usually discussed under?
If I knew what to google for, I could probably find at least a few simple heuristics to try...

I think the closest thing would be the 'knapsack problem' or the 'subset sum problem.'


http://en.wikipedia.org/wiki/Subset_sum_problem
http://en.wikipedia.org/wiki/Knapsack_problem

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Brian Beck
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