BrowserUk,
I really like this approach, but it is flawed. Consider the input: 
7 7 7 1 0 0 0 -42 0 0 6 6 6

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There are 13 items so we will have one partition of 6 and one of 7. your code produces the following solution: 
46 : [7 7 7 1 0 0 0] [-42 0 0 6 6 6]
32 : [0 7 7 1 0 0 0] [-42 7 0 6 6 6]
18 : [0 0 7 1 0 0 0] [-42 7 7 6 6 6]
16 : [0 0 6 1 0 0 0] [-42 7 7 7 6 6]

[download]
The first partition sums to 7 and the second to -9 with a difference of 16. You could move (not swap) the 6 in the first partion to the second partition and you would end up with: 
4 : [0 0 1 0 0 0] [-42 7 7 7 6 6 6]

[download]
The first partition now sums to 1 and the second to -3 for a difference of 4. I don't know the difficulty in accounting for this situation but the problem is assuming the only balancing operation is swapping.

Cheers - L~R

In reply to Re^2: partition of an array by Limbic~Region
in thread partition of an array by mostvisited

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