Question: The 3-Partition problem is defined as follows. Given a finite set A of 3m elements, a bound B Z + (a positive integer) and a
The 3-Partition problem is defined as follows. Given a finite set A of 3m elements, a bound B Z+ (a positive integer) and a size s(a) Z+ for each element a A such that s(a) satisfies the following inequalities: B/4 s(a) = mB.
A) Can A be partitioned into m disjoint sets S1, S2, , Sm such that, for 1 i m,
s(a) = B?
B) Describe a nondeterministic polynomial time algorithm for this problem
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