What have the Mayas ever done for us?
Source: All-Russian MO 2024 11.3
April 22, 2024
combinatoricscombinatorics proposedgameilostthegame
Problem Statement
Yuri is looking at the great Mayan table. The table has columns and rows. Yuri knows that each cell of the table depicts the sun or the moon, and any two rows are different (i.e. differ in at least one column). Each cell of the table is covered with a sheet. The wind has blown aways exactly two sheets from each row. Could it happen that now Yuri can find out for at least rows what is depicted in each of them (in each of the columns)?
Proposed by I. Bogdanov, K. Knop