A $2 \times 2024$ table
Source: 45th International Tournament of Towns, Senior A-Level P6, Fall 2023
December 11, 2023
combinatorics
Problem Statement
A table is filled with positive integers. Specifically, the first row is filled with numbers from the set . It turned out that for any two columns the difference of numbers from the first row is divisible by the difference of numbers from the second row, while all numbers in the second row are pairwise different. Is it true for sure that the numbers in the first row are equal?
Ivan Kukharchuk