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Hmm, not bad.

Q: You set the split fence at 40. Where does this number
come from? I think this could be optimzed per compiler/platform.

You say that you split based on the smaller number.
Why this? My intuitive guess would certainly be to always split
on the larger number. I just checked my Python implementation
which does this.
Open question: how to handle very small by very long the
best way? Probably the highschool version is better here,
and that might have led you to investigate the smaller one.
I'd say bosh should be checked.

good work! - cheers chris