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TOT 074 1984 Autumn J5 13 + 15 + 17 chameleons on Camelot Island

Source:

August 24, 2019
combinatoricsColoring

Problem Statement

On the Island of Camelot live 1313 grey, 1515 brown and 1717 crimson chameleons . If two chameleons of different colours meet , they both simultaneously change colour to the third colour (e .g . if a grey and brown chameleon meet each other they both change to crimson) . Is it possible that they will eventually all be the same colour?
(V . G . Ilichev)