Balanced Partition

Balanced Partition: You have a set of n integers each in the range 0 ... K. Partition these integers into two subsets such that you minimize |S1 - S2|, where S1 and S2 denote the sums of the elements in each of the two subsets.

Equal Partition : 
Given a set of integers we need to find out all subsets of it which have sum equal to a number. Generic case would be given a set of integers and an integers S, find all subsets which have sum equal to S.
Note :  We can achieve this solution by little modification of above problem