I wondered what a solution would look like if the fourth round trip had been included in the original puzzle:
As before, no pair of cities is connected by both a national and provincial highway. There are two possible configurations of connections that have eight connectors connecting five nodes:
Configuration A does not provide four round trips, so the five cities are connected in configuration B. We can immediately deduce which city is Geno:
The four round trips 1,3,4,B,C; 1,2,A,C,D; 2,3,A,B,C; 1,2,3,4,D are in some order:
Highways 1,2,3,C appear in three round trips (green). 4,A,B,D appear in two round trips (orange)
Geno is reached by the highways that appear in two round trips, namely 4,A,B,D
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