MathDB

A rectangular board, where in each square there is a symbol, is said to be magnificent if, for each line

L

and for each pair of columns

C

and

D

, there is on the board another line

M

exactly equal to

L

, except in columns

C

and

D

, where

M

has symbols different from those of

L

. What is the smallest possible number of rows on a magnificent board with

2023

columns?

6