How do u say that it has only O(k|S|) partitions? I thought it was splitting an n element set into k different subsets which is the stirling number of the second kind? Let me know if I am wrong.

regards,
Pradeep

On 11/12/06, Gene <[EMAIL PROTECTED]> wrote:


[EMAIL PROTECTED] wrote:
> Can someone please give me a algorithm/pseudo code for the following
> problem?
>
> Given an arrangement S of non-negative numbers {s1,s2,s3....sn} and an
> integer k.
> Partition S into k ranges, so as to minimize the maximum sum over all
> the ranges.
>
> e.g Optimally S={1,2,3,4,5,6,7,8,9} partitioned into k=3 ranges will be
> {1,2,3,4,5}, {6,7}, {8,9}

How do you figure this is NP complete?  Maybe I'm missing something.
Aren't there are only O(k|S|) possible partitions?






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