Problem #PRU-67286

Problems Methods of proofs Invariants

Problem

Red, blue and green chameleons live on the island, one day \(35\) chameleons stood in a circle. A minute later, they all changed color at the same time, each changed into the color of one of their neighbours. A minute later, everyone again changed the colors at the same time into the color of one of their neighbours. Could it turn out that each chameleon turned red, blue, and green at some point?