[00:01] posted. Imagine you have sent a robot to a far-away moon, and from here on Earth we want to send it instructions for how to move. Those movements are limited to four very simple possibilities. It can take a step up, down, left, or right. [00:15] give it will have it follow a kind of biased random walk, where half of all of >> [music] >> a quarter are down, 1/8 are left, and 1/8 are right. The puzzle comes in two parts. [music] First, find the most [00:30] efficient way that you can encode these instructions into binary. Efficient in the sense of spending as few bits per instruction as possible. And then, if you want challenge mode, the second part is to prove that what you found really [00:42] is optimal, and to show that no other encoding could possibly do better. If you can answer this question, it's the first step towards reinventing the idea which is the first in a series on the phrase compression is intelligence, [00:56] [music] explains all the details.