Your solution does not consider the fact that the two subsets have
equal elements(50 elements each)
You have provided a solution for http://www.spoj.pl/problems/FCANDY/
But this question is different. It is similar to 
http://www.codechef.com/problems/TEAMSEL/

On Dec 29, 10:56 pm, vishal raja <[email protected]> wrote:
> use dynamic programming.
> Make this problem similar to knapsack one.
> You want to find the items from a given array which sums up to (exactly or
> nearly) S/2 (here S is total sum of all integers)
> Let's say
> P(i,j) is probability to make a sum = j with the first i items in the array.
> P(i,j) =  1  if  P(i-1,j) ==1 || P(i-1,j-a[i]) == 1 else 0
> So you can rewrite it as
>
> P(i,j) = max { P(i-1,j) , P(i-1,j-a[i]) }
> you would like to calculate values of P
> from i=1, j=1 to i=size_of_array , j = S/2
>
> then find the max value of j for which value of P is 1. time complexity will
> be  O(nS) and same is the space complexity
> That's it.
> On Wed, Dec 29, 2010 at 10:37 PM, Ankur Khurana 
> <[email protected]>wrote:
>
>
>
>
>
>
>
> > How will you divide and array of approx 100 elements into two sub sets
> > of 50 each such that the difference between both the subsets is the
> > minimum possible one . .
>
> >  Thanks in advance .
> > Ankur
>
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