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Re: Re: Puzzle: need a more general algorithmby dws (Chancellor) |
on Jul 08, 2002 at 23:49 UTC ( #180353=note: print w/replies, xml ) | Need Help?? |
Here's an observation that might lead to a quick way to determine unique bucket combinations.
The set of bucket sizes above is the union of two sets: the set of all unique arrangements of (1 1 1 3), and the set of all unique arrangements of (1 1 2 2). The sum of the numbers is equal to the number of catagories. This can be generalized to cover different numbers of buckets and different numbers of categories.
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