You find yourself in the middle of a perfectly circular lake. Because, you know, that happens all the time. On the shore of the lake is a goblin who wants to eat you. Luckily, the goblin hates the water, and won't swim to get you. You know that if you can make it to land safely, you can outrun the goblin and escape. However, you are slow in water, and the goblin moves 4 times faster than you can swim. The goblin also moves optimally to always try to get to the point on the circle closest to you, guided by some unseen force of mathematics. Can you escape the goblin?
Inspired by this video (solution is also there): https://www.youtube.com/watch?v=V0V3LMK40iI It's very important to learn how to escape the goblin so that you can apply this technique when stuck in this situation in real life.
