Skip Cave-3 wrote:
> 
> [...]
> To make the problem more concrete, Paul gives a specific example of the 
> problem. There are four buckets, and 20 masses. The masses are 23, 43, 
> 12, 54, 7, 3, 5, 10, 54, 55, 26, 9, 9, 43, 54, 1, 8, 6, 38, 33 
> respectively.  What distribution of the 20 masses gives the smallest 
> mass difference between the four buckets?
> 
> Paul gives a link to his proposed solution, which I have not examined as 
> yet, since I want to see how far I can get with a J solution.
> [...]
> 
After some quick tries with J, I got a bunch of 123 123 123 124 
distributions, and they are all mutually different. 
Here is one of them:

   conf
 0  0  2  3 1 0 3  3  0  2  1 1 2  1  3 1 2 2  1  2
23 43 12 54 7 3 5 10 54 55 26 9 9 43 54 1 8 6 38 33

   +//./conf
123 123 123 124

   </./conf
┌──────────┬──────────────┬──────────┬──────────────┐
│23 43 3 54│12 55 9 8 6 33│54 5 10 54│7 26 9 43 1 38│
└──────────┴──────────────┴──────────┴──────────────┘


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