Use the Thue–Morse squence for picking and move order
https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence
The current picking order gives a slight advantage to whoever picks first. going 10011001 is farrier than 10101010, however 10010110 is even farrier. For more information on my this is fairer: https://www.youtube.com/watch?v=prh72BLNjIk
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Clement Attlee
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