> You're absolutely right, compadre. Redundancies are not good.

Making some more calculations: G1 has three (S, T, X), G2 has M and Y, G3 M and N, G4 G H and Z...

Sometimes a number is validated by two: for example

19 50 62 75 20 24 41

20 21 22 23 24 25

And both 24 and 25 (+16 = 41) validate it...

> I haven't
> the time to do a systematic count, but based on Chelsea's comments about
> Loci and anti-cyclones, I bet this is the conceptual road to the solution.

Me too... at least, until it is not proved to be another one!

> Maybe CCW?

I'll try... and/or CCW and decreasing or CW and decreasing!

> There are finite variations of how you can count, where you
> start, and where you arrive... finite and easy for us to go through all of
> them so we can, with confidence, discount this particular approach. I'm
> not satisfied with how good a job I've done so far... Maybe a a validation
> occurs only when n < 26

I'll check that, too!