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please make it clearer, I can't figure out if you are saying what if the router doesnt have its own IP in the router, or that you are wondering how does the router know it also has a interface to connect to the network IP 146.3.4.1 is on?
I didn't know that each hop replaced IP with one from its outgoing interface so I was puzzled how would server find out trough wich routers datagrams must travel to get back to client.Since each hop would have two interfaces and server may not be aware of the other interface...