Consider only subsets, not permutations #4
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Empirically, if a solution is satisfying, so are all its permutation. So it is sufficient to iterate over all subsets of length `NUM_CELLS` of the small range, which is much faster for larger sizes. Additionally, the iterator is not converted to a list (which leads to a combinatorial sized memory allocation).
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Empirically (in large fields), if a solution is satisfying then so are all its permutation and no valid solution has repeated elements. So it is sufficient to iterate over all subsets of length
NUM_CELLSof the small range, which is much faster for larger sizes.Additionally, the iterator is not converted to a list (which leads to a combinatorial sized memory allocation).
Note that the range is left hardcoded and will have to be increased for larger
NUM_CELLS.