Emp/Deity beelines?
When playing at the lower levels, determining your beeline for whatever tech you desire is easy, just select the tech on the tree and wait.
However, at Emporer/Deity, when AI is often out researching you, especially in the Ancient and Medevial eras, I don't think this is the best route to go.
Instead if you can determine what research path the other civs are taking, you can research something else for which you can trade.
As an example, if you wanted to get to Monarchy as fast as possible, it might be better to research down the path to Republic first because the militaristic civs will almost certainly be going down the path to Monarchy straight away.
So, taking this into account, what really are the most productive beelines to the techs everyone wants (Republic, Theology, Astronomy, Metallurgy, etc.)
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