on each step of a ladder with 10 steps there is a frog
Source: V May Olympiad (Olimpiada de Mayo) 1999 L1 P3
September 17, 2022
algebracombinatorics
Problem Statement
On each step of a ladder with steps there is a frog. Each of them can, in one jump, be placed on another step, but when it does, at the same time, another frog will jump the same number of steps in the opposite direction: one goes up and another goes down. Will the frogs manage to get all together on the same step?