1000 AD:
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it took me up to 1000 AD to get all infra up i wanted to have. if your asking yourself, why im researching divine right... ...i do the same

... ...i guess it was for the monastry, but at that point in the game it will never pay off
i have a gg also waiting, and 10 units left from the first 2 wars (getting backstabbed by monty + attacking him again a bit later for a 10 xp unit. then i was milking him for xp and more cr3 units + a gg before making peace again)
prod is enough to get a mace/turn once working the 2 forests
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1300 AD:
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the invasion on isa just had started a few turns ago. isa was the most dangerous ai in my game, thanks to her reli spreading all over and having the shrine and lots of cities. at that point, only 2 cities had fallen but isa´s army was destroyed and i was splitting forces into 2 groups already.
prod is enough for 1 mace/turn and an occassional rifle to kill off ov. health is now really becomming an issue, even more with the ai doing poison water missions... ...they are really, really effective under these settings
steam will allow me to get to 1 rifle/turn in a few turns
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1500 AD:
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switched to full inf. mode. health was becomming a real issue now and my capital was shrinking (was at pop 17 at lowes point) due to poison water missions. and thanks to forgetting to switch to us i wasnt doing the planed 1 unit/turn thingy (just found out when making the pics). i was running he till the bitter end

. same with the sheeps, i simply forgot about them and they also remained mined untill the bitter end

to my excuse i can only say that at that point i had most things on "autopilot" to save time and was busy enough just moving units around
well, it didnt really make a big difference i guess, a few more turns lost maybe but well... ...industrialism i libpicked btw
in 1500 AD isa was down to 2 cities and the invasion on mehmed just had started. from now on things took speed, because i was now having 3 armies, 2 rifles troops and 1 inf troop. soon it would be 5+ armies, once i upgraded the remaining rifles (around 20 left). some leftover rifles took care of isa/monty not settling the free land.
research at highest point was around 650 beakers. after scimeth it dropped to around 500 beakers, so each monastry was around 25 beakers/turn (had 6 of them thanks to my crazy reli-spamm)
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1690 AD:
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not much to say here. i obviously finally managed to switch to us and pastured the sheep (like 5 turns before the game was over and after switching from inf to building research, because i simply wasnt prepared to move a single unit more around). capital was able to grow back to size 19 (not that is mattered, but well, was for the ego i guess)
i also managed to get oil hooked up (the only reason i researched scimeth) and like 10 turns before game over i plugged down some railroad network to speed the advance of my 60 infs towards the last 3 chinese cities... ...not that is made any difference (5 infs/per city would have been enough), but hey, i researched all the way towards railroad, only to find out having no coal, then to find out (thanks to scimeth) that oil is in the outer ring and having to eliminate montys capital to claim it via my culture, not to mention teching all the way towards combustion to get the stupid oilwell up... ...SO YES; I WOULD PLUG DOWN RAILROADS ANYWHERE AND EVEN IF IT WOULD BE THE LAST THING FOR ME TO DO (evil mapmaker you are)
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oh, and then i lost a few turns more to finally find the last viking city, see screen post 23 (down there i obviously didnt railroad)... ...raggi must have captured a barbarian city recently spawned there shortly before going down, because i´m sure there wasnt a city before and he didnt sneak a settler through
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SUMMARY:
choosing the path i went down might not have been the fastest, but it surely was very efficient against the ai. and avoiding all the mistakes and strange decisions i took (like researching dr, delaying cs and so on) i´m sure it would have been possible to end the game around 20 turns earlier, so a late 15th finish should be possible going down this path and playing a bit more focussed and concentrated.
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THANKS FOR THE INTERESTING CHALLANGE AND MAP