TR-MO-R1 2011 Problem 22

$f(0) = 0$ , $f(1) = 1$ ve her $n \geq 1$ için, $f(3n-1) = f(n) - 1$ , $f(3n) = f(n)$ , $f(3n+1) = f(n) + 1$ ise, $f(2011)$ nedir?

a) $7$ b) $5$ c) $3$ d) $1$ e) $0$

Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 7. Quoted with source.

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