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
A superpowerset (analogous to superpermutation) on n symbols is a string over the alphabet {1,2,...,n} such that every subset of {1,2,...,n} appears as a substring (in some order). For instance, 12342413 is a superpowerset on four symbols because it contains 1, 2, 3, 4, 12, 13, 41, 23, 24, 34, 12...