Here's an interesting question: is it possible to find and reproduce this specific setup exactly? Let's take the number of beavers and match it to the number of Orcs and Goblins. I have a suspicion (within the limits of my computer, I'm fairly confident) that there are, say, 20 different setups when starting the "Pyramid" game on impossible difficulty with the Barbarian. So, by simply going through the setups (hint: the hero only has Goblins), we can find it.
For example, on my computer, there was a great setup that I think I messed up with an incorrect save. I went through the setups from the beginning, and I found the exact same setup. Or, is a set of setups for completing a scenario under certain conditions generated when the game is launched on a specific computer? Or is it simply embedded in the game itself?