Maybe you should say that the partition must have size greater than ceil(log2(x)/2)), since you test this at the test suite. The total number of partitions that a number has may be huge, even if we consider only unique sets (ignoring the order): a sum of binomial coefficients from 1 to the number-1 (where there is only one possible set of ones).
Sum all integers from 1 to 2^n
Back to basics 7 - Equal NaNs
Arrange vector in ascending order
All Humans are Created Equal - Pareto Equality
Convert a cell-array of values to MATLAB source code
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Reduce - Map-Reduce
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