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I need some help with a problem.
You are given a set S and a list L of subsets of S. L need not contain all subsets of S. Is it possible to pick some subsets from L such that they are pairwise disjoint and their union is S?
Note: It is not important to find those subsets. What is important is to be able to determine whether it is possible or not.
http://en.wikipedia.org/wiki/Exact_cover
This is related to a problem from the December Long Challenge.