MathDB
10x10 board

Source: Brazilian M.O. 2004

October 18, 2004
combinatorics unsolvedcombinatorics

Problem Statement

Consider all the ways of writing exactly ten times each of the numbers 0,1,2,…,90, 1, 2, \ldots , 9 in the squares of a 10×1010 \times 10 board. Find the greatest integer nn with the property that there is always a row or a column with nn different numbers.
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