Question 26
There are $n \ge 3$ children standing in a circle, each of them has two cards, one with the digit $0$ and the other with the digit $1$. At a certain moment, each child raises one of their cards at their discretion. Then every minute, each child whose card number is different from the numbers on both of their neighbors' cards (on the left and on the right) changes their card. Can the situation last indefinitely, when at least one child changes their card?