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If they have (A,B,C,D) = (0,1,0,1):

A sees 1+0+1 -> guesses (2+0)%4 = 2 (wrong)

B sees 0+0+1 -> guesses (1+1)%4 = 2 (wrong)

C sees 1+0+1 -> guesses (2+2)%4 = 0 (wrong)

C sees 0+1+0 -> guesses (1+3)%4 = 0 (wrong)

EDIT: This is twice incorrect, as indicated below.




1. You got your signs messed up. They should subtract the observation from the total.

2. C correctly guesses 0 in your example.




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