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Viliam_Bur comments on How would you take over Rome? - Less Wrong Discussion
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That should not be "extra credit" but a necessary condition for acceping the solution.
By coming to the past and doing something, events change. Butterfly effect et cetera. History is influenced by what people do, and people are influenced by thousand random events every day.
Knowledge of the original future would only be useful to guess the existing tensions in the year 1 AD, but not for predicting which day someone will decide to attack someone, not even whether they will really attack them.
Some events (volcanoes, large social phenomena etc) would not be ruled out by butterfly effect, so they're not strictly cheating.
Vulcanoes, sun eclipses, et cetera are fair game.
Large social phenomena could come a few days / years / months sooner or later, they could have different leaders, different victims, somewhat different endings, etc. (It may be good to bet on possibility of slave rebellion in -70s, but becoming friends with Spartacus may be useless.)