[0] 3200BC - I take stock of the nation. Not a whole lot going on at the moment, and it's not like I can do anything any way, as changing orders is against the rules!

I do, however, turn off the governor's emphasis on research. It doesn't make a difference at the moment, and I, personally, would rather see about more orders once the city grows more.
[2] 3120BC - Bronze Working comes in. We immediately switch to slavery. Now comes the question: what to research next? We
need construction ASAP. It has two prerequisites - Math and Masonry. Now, we already have Masonry, but to get to Math, we need Writing, and there are several ways to get there. We could go Meditation -> Priesthood -> Writing. Or we could go Agriculture -> Animal Husbandry -> Writing. Or we could go (Fishing or Agriculture) -> Wheel -> Pottery -> Writing. Now, we said no religion, so Meditation is out of the question - who knows, we could end up nabbing Buddhism accidentally!

So I decide to go Agriculture first. Then, depending on our need for roads, we could either go Wheel -> Pottery, or Animal Husbandry.
[3] 3080BC - Hinduism FIDL. Yeah, we probably wouldn't have got Buddhism, but hey, there's no turning back now.
Delhi grows to size 3. Now, it will grow again in 13 turns and the barracks will be completed in 19. Agriculture is coming in in 11 turns. That's a lot of turns. I look into the options that the city governor is offering. It would appear that the only thing that makes any difference is if we set the city governor to avoid growth. Then, it is stagnant, barracks in 11 (-8 turns), Agriculture in 8 (-3 turns). So, if we keep this up for, say 8 turns and then whip the rest of the barracks, then we gain 3 * 8 = 24 extra beakers, 2 * 8 = 16 extra hammers. However, we lose essentially a population point. It's a tough choice... In the end, I decide in favor for growth. The plan is this: we rush barracks as soon as humanly possible, then, build us a worker. By the time worker is complete, we should have agriculture, so we will be able to work that corn. That will improve the growth in Delhi and hopefully allow us to whip more.
