Consider a set S={x1,x2,x3,x4,x5,x6} where each 1xi12 and each xi is unique. Prove that there exists two subset of S whose sums are equal. For example, if S={3,5,6,9,11,12} then two possible subsets are {3,5,12} and {9,11}. You may type your answer here or upload a handwritten