Switch S2 has been closed for a long time. (a) If switch S1 is closed, will a

Question:

Switch S2 has been closed for a long time.
(a) If switch S1 is closed, will a current flow in the left-hand coil? If so, what direction will it flow across the ammeter?
(b) After some time, switch S1 is opened again while switch S2 remains closed. Will a current flow in the left coil? If so, what direction will it flow across the ammeter?