TR-MO-R1 2011 Problem 26

$0 \le a < 2^{2008}$ ve $0 \le b < 8$ tam sayıları $7(a + 2^{2008}b) \equiv 1 \pmod{2^{2011}}$ denkliğini sağlıyorsa, $b$ nedir?

a) $3$ b) $5$ c) $6$ d) $7$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2011 official paper, page 8. Quoted with source.

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