Ed Pegg Jr. wrote:

At a convention, 120 people all need to meet with each other, 1 on 1.

Suppose a room is divided into a 8x8 square, and a clock is set up to ring 60 times, once per minute. Each person is given a map of their starting square, and a map of their route over the next hour.

Wouldn't each person need to have 119 meetings? Is it required that there are 60 meetings at a time (maybe this is optimal anyway)? John Robertson