Problem 0.7. For this exercise you need to be familiar with the situation in the U. K., where the decision to leave the E. U. is called Brexit. Those who are opposed to Brexit wish to 'Remain'. Here is the problem: One thousand and one members of parliament sit at a round table. Each of them either supports Brexit or supports Remain. Every day, each of them announces their opinion loudly. Afterwards, a member changes their opinion if and only if both of their neighbors' opinions are the opposite of hers. Show that, after a while, there will be no changes of opinion. Problem 0.7. For this exercise you need to be familiar with the situation in the U. K., where the decision to leave the E. U. is called Brexit. Those who are opposed to Brexit wish to 'Remain'. Here is the problem: One thousand and one members of parliament sit at a round table. Each of them either supports Brexit or supports Remain. Every day, each of them announces their opinion loudly. Afterwards, a member changes their opinion if and only if both of their neighbors' opinions are the opposite of hers. Show that, after a while, there will be no changes of opinion