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Suppose that \[|a - b| + |b - c| + |c - d| + \dots + |m-n| + |n-o| + \cdots+ |x - y| + |y - z| + |z - a| = 20.\] What is the maximum possible value of $|a - n|$?

 Apr 7, 2020
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Any two letters differ by at most 20, so the maximum value of |a - n| is also 20.

 Apr 8, 2020

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