TOT 083 1985 Spring Train J4 3 grasshoppers jump, every second
Source:
August 24, 2019
combinatoricsalgebra
Problem Statement
Three grasshoppers are on a straight line. Every second one grasshopper jumps. It jumps across one (but not across two) of the other grasshoppers . Prove that after seconds the grasshoppers cannot be in the initial position .(Leningrad Mathematical Olympiad 1985)