The 0-1 knapsack problem is still the knapsack problem.
Don

On Aug 26, 1:55 pm, Piyush Grover <piyush4u.iit...@gmail.com> wrote:
> it's similar to knapsack but not the same. In knapsack, types of items are
> limited and we play on the quantity of each item.
> Here each element will come once in the subset.
>
> On Fri, Aug 26, 2011 at 11:49 PM, Don <dondod...@gmail.com> wrote:
> > @rahul
> > Your code will only find pairs which sum to k. The problem is to find
> > a subset of as many elements in the array as required to sum as close
> > as possible to k.
> > It is a well-known problem and after years of study, no polynomial
> > solution is known. There are reasonably fast solutions for small
> > inputs, but the best anyone has done is a pseudo-polynomial-time
> > algorithm using dynamic programming. Thus it is weakly NP-complete. As
> > n gets large, the time required increases exponentially.
> > Search the web for "Knapsack problem" to learn more.
> > Don
>
> > On Aug 26, 1:04 pm, rahul sharma <rahul23111...@gmail.com> wrote:
> > > yes it will....
> > > return in c return 1 value at tym...
> > > ijust given the code snipet....just modify it......store trhm in some
> > > other array like the....but it will
>
> > > On Aug 26, 11:02 pm, Piyush Grover <piyush4u.iit...@gmail.com> wrote:
>
> > > > @rahul...I'm unsure if your algo returns all the subsets.
>
> > > > On Fri, Aug 26, 2011 at 11:24 PM, rahul sharma <
> > rahul23111...@gmail.com>wrote:
>
> > > > > yeah can be done in poly tym also...but we dnt knw whether we have
> > > > > unsorted arry....it is possible in sorted array.
>
> > > > > On Aug 26, 10:52 pm, Don <dondod...@gmail.com> wrote:
> > > > > > This is the knapsack problem.
> > > > > > Find a polynomial-time solution and you will be a hero.
> > > > > > Don
>
> > > > > > On Aug 26, 12:43 pm, Piyush Grover <piyush4u.iit...@gmail.com>
> > wrote:
>
> > > > > > > Here is a problem:
>
> > > > > > > Given an array of size n. Find all the MAXIMAL subsets whose sum
> > is <=
> > > > > K.
> > > > > > > The solution is not a concern, the optimization is required.
>
> > > > > > > -piyush
>
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