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Distance Vector protocol like RIP uses hop-count.
OSPF being purely Link-State protocol, doesn't have Hop-Count as a field in it's Header. So in no condition does OSPF work as distance vector.
EIGRP is Hybrid since it uses Hop-Count. Here hop-count is not as a metric but to limit the number of routers in cascading (Default is100 & can go upto255 hops).
This provides a safety mechanism that breaks any potential count-to-infinity problems. It causes the IP routing software to advertise as unreachable routes with a hop count greater than the value assigned to the hops-number argument.
Hope this helps.
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