Question 97
In a zoo there live chameleons of three colours: $x$ grey chameleons, $2022$ white chameleons and $100$ pink chameleons. The chameleons can meet each other, but only two at a time. If $2$ chameleons of the same colour meet, they do not change their colour. If $2$ chameleons of different colours meet, then both simultaneously change their colour to the third colour. For which values of $x$ is it possible that at some moment all the chameleons in the zoo have the same colour?