MathDB

In the cells of the

4\times N

table, integers are written, modulo no more than

2024

(i.e. numbers from the set

\{-2024, -2023,\dots , -2, -1, 0, 1, 2, 3,\dots , 2024\}

) so that in each of the four lines there are no two equal numbers. At what maximum

N

could it turn out that in each column the sum of the numbers is equal to

2

? G.M.Sharafetdinova

Problem Statement