MathDB

6

Part of 2017 Tournament Of Towns

Problems(1)

Hopping grasshoppers

Source: Tournament of Towns Spring 2017 Junior A-level

1/30/2018
A grasshopper can jump along a checkered strip for 8,98, 9 or 1010 cells in any direction. A natural number nn is called jumpable if the grasshopper can start from some cell of a strip of length nn and visit every cell exactly once. Find at least one non-jumpable number n>50n > 50.
(Egor Bakaev)
combinatoricsRussia