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).
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Back to basics 9 - Indexed References
Back to basics 23 - Triangular matrix
Parse string and identify specific string sequence in algebraic equation
Quine : write a quine in MATLAB
Is the paranthesis sequence balanced ?
Reduce - Map-Reduce
Numbers at bit-boundary
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