Question: Define PARTITION as the problem that takes a set S = {s 1 , s 2 ,...,s n } of numbers and asks whether there

Define PARTITION as the problem that takes a set S = {s1, s2,...,sn} of numbers and asks whether there is a subset T of S such that 

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That is, it asks whether there is a partition of the numbers into two groups that sum to the same value. Show that PARTITION is NP-complete.

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