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MathNet 2008-part-01 — 165 problems (EN–VI) Question 33

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 33

In each cell of a board with $101$ rows and $11$ columns one of the numbers $1, 2, \ldots, 11$ is written. If the number $a$ is immediately to the left of $b$ and immediately above $c$, then $a \leq b \leq c$. Can the board contain exactly one row of equal numbers?