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Vyxal, j, 65 bits1, 18 17 14 12 11 8.125 bytes
₁ƛ₍₃₅kF½*∑∴
Try it Online! (link is to bitstring)
I refuse to be beaten by Arn, Ash and Fig. I absolutely will not be beaten by any of those languages. Vyxal forever lads.
And yes, that really is 8.125 bytes. We have a fractional byte encoding syst...