With all do respect to our esteemed monk extremely
is this not closer to the 'Knapsack' and 'bin packing'
class of problems which can be solved using several
non-brute force techniques therefore do not fall into the general class
of NP-Complete problems.
There are several books that cover detailed solutions to
these kinds of problems. My personal favourite is
'ALGORITHMS', Robert Sedgewick, Addison-Wesley, 1983.
Sedgewick describes some excellent
approaches to your problem.
Computer Algorithms, Inroduction to Design and Analyssis,
Sara Base, Addison-Wesley 1988 is also a good source.
mitd-Made in the Dark
'My favourite colour appears to be grey.'
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