Hosted by The Math Forum## Problem of the Week 1230## Water Wave
Imagine that one person is standing at each of the 19881 points on a regular Suppose a wave of water flows across this grid in linear fashion, starting at some point far away and traveling linearly at a certain slope:
Assume the slope is irrational. Then the wave will wash over the people, one at a time. Therefore, for each starting state, there is an ordering of the people based on the order in which they get wet. How many different orderings arise in this way?
Source: Problem 339, |

17 November 2016