OK. that is the assumption of the problem that this is done in O(n).
Perhaps it is imaginary.
The Question is :
assuming this algorithm and using that, now we want to find the exact
members that their sum equals to K, with the best order.
Thank you.


On Mar 30, 7:38 pm, "Muntasir Azam Khan" <[EMAIL PROTECTED]>
wrote:
> On Mar 30, 10:07 pm, "Muntasir Azam Khan" <[EMAIL PROTECTED]>
> wrote:
>
>
>
> > ----- Original Message -----
> > From: "Mahdi" <[EMAIL PROTECTED]>
> > To: "Algorithm Geeks" <[email protected]>
> > Sent: Friday, March 30, 2007 1:27 PM
> > Subject: [algogeeks] Sum of subsets
>
> > > We have set named S. We assume we have an algorithm that specifies if
> > > there is a subset in S that sum of it's elements equals to K in O(n)
> > > and returns TRUE or FALSE. The question is :
> > > How can we find the elements of this subset? What is the best solution
> > > with minimum order?
> > > Thanks.
>
> > The best I can come up with is a O(n^2) solution. To me this looks like a
> > variation of the 0-1 knapsack problem. Could you please elaborate on how you
> > are checking in O(n)?
>
> > Muntasir
>
> Just a *small* correction to my earlier post. This problem is actually
> NP-complete. My O(n^2) solution works only if all the members of the
> set are positive integers.
>
> Muntasir


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