2 numbers m,n on board, each gets replaced by their sum, product of int. ratio
Source: 2020 Czech and Slovak Olympiad III A p1
November 24, 2020
gamecombinatoricsratio
Problem Statement
Two positive integers and are written on the board.
We replace one of two numbers in each step on the board by either their sum, or product, or ratio (if it is an integer).
Depending on the numbers and , specify all the pairs that can appear on the board in pairs. (Radovan Švarc)