Linked rows and columns
Source: 239 MO 2024 J1
May 22, 2024
combinatoricsSets
Problem Statement
We will say that two sets of distinct numbers are to each other if between any two numbers of each set lies at least one number of the other set. Is it possible to fill the cells of a rectangle with distinct numbers so that any two rows of the rectangle are linked to one another, and any two columns of the rectangle are linked to one another?