How many caterpillars does it take to make a chickadee?

I've been checking periodically on the bluebird nest box outside my kitchen window which a pair of Carolina Chickadees have claimed as their own this spring. The pair chose the box early on and started building a nest and then they paused for a while, during a period in which it rained almost every day for about a week. But a week or ten days ago, they resumed construction on the nest, and yesterday, I decided it was time to check on their progress. Well, progress, indeed! Guess what I found? The nest, it seems, is complete and the female had already deposited five tiny eggs there. The eggs are indeed tiny - no bigger than the tip of my smallest finger. It is hard to believe that it is possible for a fully formed chick to develop in one of them and hatch within a couple of weeks. Of course, the parents themselves are among our tiniest birds, weighing no more than a third of an ounce each. Surprisingly for such little birds, they do have fairly large clutches of five to eigh...