There is a land where every inhabitant is either a day-knight or a night-knight. Day-knights tell the truth in the day and lie at night. Night-knights lie in the day and tell the truth at night.

Three inhabitants A, B and C are currently engaged in a conversation. A visitor approaches the three inhabitants and ask each of them their types. They say:

A: If asked, B would claim it is morning.
B: If asked, C would claim it is morning.
C: If asked, A would claim it is night.

Is it day or night? What is the type of each of the inhabitants?