20 persons, wearing red or green hats, have gathered in a dark room. Nobody knows what color anyone else is wearing or the total number of red and green hats. Their goal is to leave the room one by one and make a line outside, perfectly split between red hat- and green hat-wearing people. They are allowed to move around once outside the dark room, but can't communicate with each other after the game has started. How can they achieve their goal?

 

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