MathDB

Find the largest positive integer

m

which makes it possible to color several cells of a

70\times 70

table red such that [*] There are no two red cells satisfying: the two rows in which they are have the same number of red cells, while the two columns in which they are also have the same number of red cells; [*] There are two rows with exactly

m

red cells each.

P9

Problems(1)