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MathNet 2026 — Part 02 Question 54

Math Olympiad Vault · MathNet 2026 — Part 02

Question 54

Joana wrote a sequence in 10 lines using the digits from 0 to 9, following the following pattern. $$
\begin{array}{lllllllllll}
0 & & & & & & & & & \\
1 & 1 & 0 & & & & & & & \\
2 & 2 & 2 & 1 & 1 & 0 & & & & \\
3 & 3 & 3 & 3 & 2 & 2 & 2 & 1 & 1 & 0
\end{array}
$$ What was the most used digit? How many times was this digit used?