TR-MO-R1 2011 Problem 14

$2011^{\left(2011^{\left(2011^{\left(2011^{2011}\right)}\right)}\right)}$ sayısının $19$ ile bölümünden kalan nedir?

a) $5$ b) $4$ c) $3$ d) $2$ e) $1$

Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 5. Quoted with source.

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