Let SET-SPLITTING = {S,C| S is a finite set and C = {C 1 , . .

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Let SET-SPLITTING = {〈S,C〉| S is a finite set and C = {C1, . . . ,Ck} is a collection of subsets of S, for some k > 0, such that elements of S can be colored red or blue so that no Ci has all its elements colored with the same color}. Show that SET-SPLITTING is NP-complete.

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