The challenge is to get the right answer. It's much less interesting if you relax the challenge to no longer require the right answer. Here's a really fast approximate answer: 50000000*(2^31-1)/2

Map vs. territory. The challenge, as defined by the system the competition runs on, is to get 3 correct responses in a row. That's it.

The fact that it's wrong sometimes is a lot less interesting than the probability distribution of wrongness, conditional on magnitude.

Solid point and good example