A Colorful Problem

At the zoo, there is an exhibition filled with a rare breed of chameleons. This breed consists of red, blue, and green variants. In that exhibition, 15 of the chameleons are red, 13 are blue, and 17 are green. If two chameleons of two different colors meet, they will both turn into the third color.

  • If a red chameleon meets a green chameleon, both chameleons will turn blue.
  • If a blue chameleon meets a green chameleon, both chameleons will turn red.
  • If a red chameleon meets a blue chameleon, both chameleons will turn green.

Is it possible for all of the chameleons to become a single color?

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