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Column name 'Solve the following math problem. Make sure to put the answer (and only answer) inside \boxed{}.
A bored student named Abraham is writing $n$ numbers $a_1, a_2, \ldots, a_n$. The value of each number is either $1, 2$, or $3$; that is, $a_i$ is $1, 2$ or $3$ for $1 \le i \le n$. Abraham notices that the ordered triples
\[ (a_1, a_2, a_3), (a_2, a_3, a_4), \ldots, (a_{n-2}, a_{n-1}, a_n), (a_{n-1}, a_n, a_1), (a_n, a_1, a_2) \]
are distinct from each other. What is the maximum possible value o...' is too long. It should be less than 500 characters.
Error code: TooLongColumnNameError
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