Tempting, but the this is the "swapping bits" that I was referring to. The solution skips these three combinations:
01101
01110
10110
If you look at them closely, you'll see why you can't generate them. That's what got me stuck on this track. If that can be solved, this is a good way to go.
Oh, and since you mentioned this was untested, I won't comment about for my $bit ($splits-1..0) { :)
Cheers,
Ovid
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