On a tropical island deep in the Pacific Ocean, there is an island of colorful chameleons. Each chameleon is able to be either red, blue, or yellow. The chameleons’ colors follow a curious pattern: Chameleons only change their color when they meet another chameleon, and a chameleon always changes its color when it meets another chameleon.
If both chameleons are the same color, they change so that they have different colors. If the chameleons are different colors, they change to be the same. A pair of intrepid biologists visits the island to document this strange behavior. They find a colony of 100 chameleons to study. The first biologist goes out in the morning and counts 20 red, 30 blue and 50 yellow chameleons. The second biologist goes out at night and counts 100 red chameleons. Is it possible that both counted correctly?
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