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MathNet 2024-part-06 — 165 problems (EN–VI) Question 87

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 87

Let
$$
f(x) = ||\cdots||| | x|-1|-2|-3|-\cdots|-10|
$$
Compute $f(1) + f(2) + \cdots + f(54) + f(55)$.