MathDB
paint 33 squares on a 9x9 board 2017 May Olympiad L1 p2

Source:

August 25, 2021
combinatorics

Problem Statement

Is it possible to paint 3333 squares on a 9×99\times 9 game board, so that each row and each column of the board has a maximum of 44 painted squares, but if we also paint any other square a row or column appears that has 55 squares painted?