(count to infinity problem) : The following network consists of 3 non synchronized stations(meaning each stations' vector distance is sent from each station in a different time than other stations, according to some inner clock that is not synchronized with the clocks of the other stations.

1)if AB falls(disconnects), will the counting to infinity problem occur? if so explain well and explain whether it will necessarily occur(or just might under certain conditions) (for instance after the routing tables stabilize after the disconnection). if not, write the routing table of each of the stations after they stabilize.

2)like before, but this time in the same AB and AC disconnected, will they necessarily create counting to infinity situation or might? explain well.

thanks for helping, it will help me a lot for the upcoming test, so make it as detailed as you can