Subway Seats That Automatically Change Directions

In my city, our subway system has sets of seats that face in both directions. This is because once the subway reaches the terminal stop, it just goes in the reverse direction without turning itself around. One problem with this system is that people sometimes ride backwards. Although one good use of it is so that four people could potentially speak together, it is still a bit awkward for people riding backwards.

My idea is that there could be some type of seats that could automatically change directions, much like how the vehicles in Transformers cartoons change themselves. Once the seats reach the terminal stop, they could somehow flip the seats in the other direction such that passengers ride facing forward.