MathDB

(083) T4

Part of 1985 Tournament Of Towns

Problems(1)

TOT 083 1985 Spring Train J4 3 grasshoppers jump, every second

Source:

8/24/2019
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 19851985 seconds the grasshoppers cannot be in the initial position .
(Leningrad Mathematical Olympiad 1985)
combinatoricsalgebra