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The first guy guesses the color that is the mod-2 sum of all the rest. He has 50% chance of being right. The other 99 guys can deduce their own color based on observation and the previous guys' answers.
The first guy guesses the color that is the mod-2 sum of all the rest. He has 50% chance of being right. The other 99 guys can deduce their own color based on observation and the previous guys' answers.