not either or.
in my very hard very hard game, I took apollonia (which has dismal defenses, and really only requires a general and one unit of infantry), syracuse, corinth, and sparta (in that order) in the first few rounds. just keep pumping out hastati and cav, sell map info, ceasefires (right before you attack again) with your diplomats, and concentrate your forces.
I think I also had carthage by turn 7 or so.
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