53. A snail is crawling on a plane, turning $90^{\circ}$ after each meter of its path. What is the maximum distance from the starting point it could be after crawling 300 m, having made a total of 99 left and 200 right turns?
88.53. Answer. $100 \sqrt{2}$ meters. Since the snail made 99 turns, we can divide its path into 100 segments, each consisting of an integer number of meters (some may have zero length), moving along which the snail turned only to the right or did not turn at all. It is easy to see that the distance between the beginning and the end of such a segment does not exceed $\sqrt{2}$. Therefore, the distance between the beginning and the end of the path is no more than $100 \sqrt{2}$. Finding an example is left to the reader.