Name: Minimum Sum of Squares [SP19] 3-4

Input: A set A of n elements; for each element a in A a positive
integer size s(a); positive integers k<=n and J.

Question: Can A be partitioned into k disjoint sets A1,...,Ak such
that

sum from i=1 to k ( sum from {x in Ai} s(x) ) ^ 2 <= J ?

How can we reduce a known Np problem to this problem?

I was thinking of using partition....
wht do yu think?


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